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
777
1.38k
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
1.75k
4.67k
model_responses__best_of_n_atags__eval_evaluation_metadata
stringlengths
896
4.27k
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
3.49k
20.7k
model_responses__best_of_n_atags__internal_answers__eval_evaluation_metadata
stringlengths
1.64k
16.4k
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 73 and 48 exactly once and combine them using basic arithmetic operations to get the target number 121.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 73 + 48 = 121 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)", "(73 + 48)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1421, "span_end": 1432, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1527, "span_end": 1538, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1539, "span_end": 1550, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1694, "span_end": 1705, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1990, "span_end": 2001, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1440, "span_end": 1451, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1509, "span_end": 1520, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1548, "span_end": 1559, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1571, "span_end": 1582, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1400, "span_end": 1411, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 771, "span_end": 782, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(73 + 48)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1659, "span_end": 1670, "original_span": "(73 + 48)"}]
[{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, ...
[ [ "(73 + 48)", "(73 + 48)" ], [ "(73 + 48)", "(73 + 48)", "(73 + 48)" ], [ "(73 + 48)", "(73 + 48)", "(73 + 48)" ], [ "(73 + 48)", "(73 + 48)" ], [ "(73 + 48)", "(73 + 48)", "(73 + 48)" ], [ "(73 + 48)", "(73 + 48)" ], [ "(73 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1206, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1206, "span_end": 1217, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1421, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1421, "span_end": 1432, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1312, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1312, "span_end": 1323, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1527, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1527, "span_end": 1538, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1324, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1324, "span_end": 1335, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1539, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1539, "span_end": 1550, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1479, "span_end": 1490, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1694, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1694, "span_end": 1705, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1775, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1775, "span_end": 1786, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1990, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1990, "span_end": 2001, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1225, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1225, "span_end": 1236, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1440, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1440, "span_end": 1451, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1294, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1294, "span_end": 1305, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1509, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1509, "span_end": 1520, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1333, "span_end": 1344, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1356, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1356, "span_end": 1367, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1571, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1571, "span_end": 1582, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1185, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1185, "span_end": 1196, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1400, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1400, "span_end": 1411, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 771, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 771, "span_end": 782, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(73 + 48)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(73 + 48)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1659, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1659, "span_end": 1670, "original_span": "(73 + 48)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 14 and 54 exactly once and combine them using basic arithmetic operations to get the target number 756.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 14 + 54 = 68 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)", "(54 * 14)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1665, "span_end": 1676, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1351, "span_end": 1362, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1305, "span_end": 1316, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1654, "span_end": 1665, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1476, "span_end": 1487, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1650, "span_end": 1661, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1967, "span_end": 1978, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1307, "span_end": 1318, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1470, "span_end": 1481, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1478, "span_end": 1489, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1576, "span_end": 1587, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1523, "span_end": 1534, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1572, "span_end": 1583, "original_span": "(54 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1786, "span_end": 1797, "original_span": "(54 * 14)"}]
[{"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ false, true, true ], [ true,...
[ [ "(54 * 14)", "(54 * 14)", "(54 * 14)" ], [ "(54 * 14)", "(54 * 14)", "(54 * 14)" ], [ "(54 * 14)", "(54 * 14)", "(54 * 14)" ], [ "(14 * 54)", "(54 * 14)", "(54 * 14)" ], [ "(14 * 54)", "(54 * 14)", "(54 * 14)" ], [ "(14 * 54)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 837, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 837, "span_end": 848, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1445, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1445, "span_end": 1456, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1665, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1665, "span_end": 1676, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1136, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1136, "span_end": 1147, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1351, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1351, "span_end": 1362, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1053, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1053, "span_end": 1064, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1305, "span_end": 1316, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 836, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 836, "span_end": 847, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1654, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1654, "span_end": 1665, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1261, "span_end": 1272, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1476, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1476, "span_end": 1487, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 836, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 836, "span_end": 847, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1435, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1435, "span_end": 1446, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1650, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1650, "span_end": 1661, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1136, "span_text": "(54 * 14) - 14", "extraction_type": "internal", "span_start": 1136, "span_end": 1152, "original_span": "(54 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1752, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1752, "span_end": 1763, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1967, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1967, "span_end": 1978, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1092, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1092, "span_end": 1103, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1307, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1307, "span_end": 1318, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1255, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1255, "span_end": 1266, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1470, "span_end": 1481, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1263, "span_end": 1274, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1478, "span_end": 1489, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 761, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 761, "span_end": 772, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1576, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1576, "span_end": 1587, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1523, "span_end": 1534, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 756, "span_text": "(14 * 54)", "extraction_type": "internal", "span_start": 756, "span_end": 767, "original_span": "(14 * 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1357, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1357, "span_end": 1368, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1572, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1572, "span_end": 1583, "original_span": "(54 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 905, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 905, "span_end": 916, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1534, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1534, "span_end": 1545, "original_span": "(54 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1786, "span_text": "(54 * 14)", "extraction_type": "internal", "span_start": 1786, "span_end": 1797, "original_span": "(54 * 14)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(54 * 14) - 14", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 54)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 14)", "final_answer": 756.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 40 and 70 exactly once and combine them using basic arithmetic operations to get the target number 110.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 40 + 70 = 110 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(70 + 40)", "(70 + 40)", "(40 + 70)", "(40 + 70)", "(40 + 70)", "(40 + 70)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2037, "span_end": 2048, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2374, "span_end": 2385, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1529, "span_end": 1540, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1701, "span_end": 1712, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 706, "span_end": 717, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1539, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1762, "span_end": 1773, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1765, "span_end": 1776, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1504, "span_end": 1515, "original_span": "(70 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1656, "span_end": 1667, "original_span": "(70 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1979, "span_end": 1990, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1945, "span_end": 1956, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1654, "span_end": 1665, "original_span": "(40 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1334, "span_end": 1345, "original_span": "(40 + 70)"}]
[{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 40)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 40)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}]
[ [ true, true, true ], [ true, false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true,...
[ [ "(40 + 70)", "(40 + 70)", "(40 + 70)" ], [ "(40 + 70)", "(70 - 40)", "(40 + 70)", "(40 + 70)" ], [ "(40 + 70)", "(40 + 70)", "(40 + 70)" ], [ "(40 + 70)", "(40 + 70)", "(40 + 70)" ], [ "(40 + 70)", "(40 + 70)", "(40 + 70)" ], [ ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1822, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1822, "span_end": 1833, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2037, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 2037, "span_end": 2048, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1352, "span_text": "(70 - 40)", "extraction_type": "internal", "span_start": 1352, "span_end": 1363, "original_span": "(70 - 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2159, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 2159, "span_end": 2170, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2374, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 2374, "span_end": 2385, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1314, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1314, "span_end": 1325, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1529, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1529, "span_end": 1540, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1442, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1442, "span_end": 1453, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1701, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1701, "span_end": 1712, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 434, "span_end": 445, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 491, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 491, "span_end": 502, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 706, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 706, "span_end": 717, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1313, "span_end": 1324, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1528, "span_end": 1539, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1762, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1762, "span_end": 1773, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1550, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1550, "span_end": 1561, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1765, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1765, "span_end": 1776, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(70 + 40)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(70 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1504, "span_text": "(70 + 40)", "extraction_type": "internal", "span_start": 1504, "span_end": 1515, "original_span": "(70 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(70 + 40)", "extraction_type": "internal", "span_start": 1441, "span_end": 1452, "original_span": "(70 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1656, "span_text": "(70 + 40)", "extraction_type": "internal", "span_start": 1656, "span_end": 1667, "original_span": "(70 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 434, "span_end": 445, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1764, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1764, "span_end": 1775, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1979, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1979, "span_end": 1990, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1730, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1730, "span_end": 1741, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1945, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1945, "span_end": 1956, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1654, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1654, "span_end": 1665, "original_span": "(40 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1119, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1119, "span_end": 1130, "original_span": "(40 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1334, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 1334, "span_end": 1345, "original_span": "(40 + 70)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(70 - 40)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 40)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 40)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 40)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 40)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}]]
{ "flips_by": [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 30 and 31 exactly once and combine them using basic arithmetic operations to get the target number 930.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 31 * 30 = 930\n\nThis option uses both numbers exactly once and achieves ...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)", "(31 * 30)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1795, "span_end": 1806, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1478, "span_end": 1489, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1479, "span_end": 1490, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1382, "span_end": 1393, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1479, "span_end": 1490, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1524, "span_end": 1535, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1525, "span_end": 1536, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1538, "span_end": 1549, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1515, "span_end": 1526, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1522, "span_end": 1533, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1505, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1521, "span_end": 1532, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1358, "span_end": 1369, "original_span": "(31 * 30)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(31 * 30)"}]
[{"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(31 * 30)", "(31 * 30)", "(31 * 30)" ], [ "(30 * 31)", "(31 * 30)", "(31 * 30)" ], [ "(30 * 31)", "(31 * 30)", "(31 * 30)" ], [ "(31 * 30)", "(31 * 30)", "(31 * 30)" ], [ "(30 * 31)", "(31 * 30)", "(31 * 30)" ], [ "(30 * 31)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1093, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1093, "span_end": 1104, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1795, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1795, "span_end": 1806, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1263, "span_end": 1274, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1478, "span_end": 1489, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1264, "span_end": 1275, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1479, "span_end": 1490, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1122, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1122, "span_end": 1133, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1382, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1382, "span_end": 1393, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1264, "span_end": 1275, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1479, "span_end": 1490, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1264, "span_end": 1275, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1524, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1524, "span_end": 1535, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1525, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1525, "span_end": 1536, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1323, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1323, "span_end": 1334, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1538, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1538, "span_end": 1549, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1256, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1256, "span_end": 1267, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1522, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1522, "span_end": 1533, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1306, "span_end": 1317, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1105, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1105, "span_end": 1116, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1358, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1358, "span_end": 1369, "original_span": "(31 * 30)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 31)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(31 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(31 * 30)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(31 * 30)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}, {"is_correct": true, "error": null, "answer_block": "(31 * 30)", "final_answer": 930.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 25 and 78 exactly once and combine them using basic arithmetic operations to get the target number 103.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 25 + 78 = 103 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(25 + 78)", "(78 + 25)", "(25 + 78)", "(25 + 78)", "(78 + 25)", "(78 + 25)", "(78 + 25)", "(78 + 25)", "(78 + 25)", "(25 + 78)", "(78 + 25)", "(25 + 78)", "(78 + 25)", "(25 + 78)", "(78 + 25)", "(25 + 78)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1631, "span_end": 1642, "original_span": "(25 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1494, "original_span": "(25 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1460, "span_end": 1471, "original_span": "(25 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1479, "span_end": 1490, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1505, "span_end": 1516, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(25 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1483, "span_end": 1494, "original_span": "(25 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1397, "span_end": 1408, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1548, "span_end": 1559, "original_span": "(25 + 78)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1600, "span_end": 1611, "original_span": "(78 + 25)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(25 + 78)"}]
[{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(25 + 78)", "(25 + 78)" ], [ "(25 + 78)", "(78 + 25)", "(78 + 25)" ], [ "(25 + 78)", "(25 + 78)", "(25 + 78)" ], [ "(25 + 78)", "(25 + 78)", "(25 + 78)" ], [ "(25 + 78)", "(78 + 25)", "(78 + 25)" ], [ "(25 + 78)", "(78 + 25)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1416, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1416, "span_end": 1427, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1631, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1631, "span_end": 1642, "original_span": "(25 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1483, "span_end": 1494, "original_span": "(25 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1460, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1460, "span_end": 1471, "original_span": "(25 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1264, "span_end": 1275, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1479, "span_end": 1490, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1290, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1290, "span_end": 1301, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1505, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1505, "span_end": 1516, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(25 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1268, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1268, "span_end": 1279, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1483, "span_end": 1494, "original_span": "(25 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1182, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1182, "span_end": 1193, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1397, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1397, "span_end": 1408, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(25 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1385, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1385, "span_end": 1396, "original_span": "(78 + 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1600, "span_text": "(78 + 25)", "extraction_type": "internal", "span_start": 1600, "span_end": 1611, "original_span": "(78 + 25)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(25 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(25 + 78)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(25 + 78)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 25)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(25 + 78)", "final_answer": 103.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 85 and 76 exactly once and combine them using basic arithmetic operations to get the target number 161.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 85 + 76 = 161 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, false, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(85 + 76)", "(85 - 76) + 76", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)", "(85 + 76)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1433, "span_end": 1444, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1516, "span_end": 1532, "original_span": "(85 - 76) + 76"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1834, "span_end": 1845, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 961, "span_end": 972, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1641, "span_end": 1652, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 773, "span_end": 784, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 938, "span_end": 949, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1519, "span_end": 1530, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 795, "span_end": 806, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 961, "span_end": 972, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 967, "span_end": 978, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 954, "span_end": 965, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(85 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1510, "span_end": 1521, "original_span": "(85 + 76)"}]
[{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(85 - 76) + 76", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}]
[ [ true, true, true ], [ false, false ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ...
[ [ "(85 + 76)", "(85 + 76)", "(85 + 76)" ], [ "(85 - 76) + 76", "(85 - 76) + 76" ], [ "(85 + 76)", "(85 + 76)", "(85 + 76)" ], [ "(85 + 76)", "(85 + 76)" ], [ "(85 + 76)", "(85 + 76)", "(85 + 76)" ], [ "(85 + 76)", "(85 + 76)" ], [ ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1218, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1218, "span_end": 1229, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1433, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1433, "span_end": 1444, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1211, "span_text": "(85 - 76) + 76", "extraction_type": "internal", "span_start": 1211, "span_end": 1227, "original_span": "(85 - 76) + 76"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1516, "span_text": "(85 - 76) + 76", "extraction_type": "internal", "span_start": 1516, "span_end": 1532, "original_span": "(85 - 76) + 76"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1619, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1619, "span_end": 1630, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1834, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1834, "span_end": 1845, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 961, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 961, "span_end": 972, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1426, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1426, "span_end": 1437, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1641, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1641, "span_end": 1652, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 558, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 558, "span_end": 569, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 773, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 773, "span_end": 784, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 723, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 723, "span_end": 734, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 938, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 938, "span_end": 949, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1304, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1304, "span_end": 1315, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1519, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1519, "span_end": 1530, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 580, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 580, "span_end": 591, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 795, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 795, "span_end": 806, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 961, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 961, "span_end": 972, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 752, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 752, "span_end": 763, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 967, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 967, "span_end": 978, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 739, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 739, "span_end": 750, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 954, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 954, "span_end": 965, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(85 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1295, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1295, "span_end": 1306, "original_span": "(85 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1510, "span_text": "(85 + 76)", "extraction_type": "internal", "span_start": 1510, "span_end": 1521, "original_span": "(85 + 76)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(85 - 76) + 76", "final_answer": 161.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(85 - 76) + 76", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}], [{"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 76)", "final_answer": 161.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 15, "pass_at_n": 1, "percent_correct": 0.9375, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2 ], "reflect_open": [ 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2 ], "sample_open": [ 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 45 and 75 exactly once and combine them using basic arithmetic operations to get the target number 120.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 75 * 45 = 3375\n- This result is too large, so let's try another combinat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(45 + 75)", "(45 + 75)", "(75 + 45)", "(75 + 45)", "(45 + 75)", "(45 + 75)", "(45 + 75)", "(45 + 75)", "(75 + 45)", "(75 + 45)", "(45 + 75)", "(45 + 75)", "(75 + 45)", "(45 + 75)", "(45 + 75)", "(75 + 45)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1576, "span_end": 1587, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 893, "span_end": 904, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1441, "span_end": 1452, "original_span": "(75 + 45)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1539, "original_span": "(75 + 45)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1691, "span_end": 1702, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1407, "span_end": 1418, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1511, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1587, "span_end": 1598, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(75 + 45)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1538, "span_end": 1549, "original_span": "(75 + 45)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1488, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1242, "span_end": 1253, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1599, "span_end": 1610, "original_span": "(75 + 45)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1420, "span_end": 1431, "original_span": "(45 + 75)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2372, "span_end": 2383, "original_span": "(75 + 45)"}]
[{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}]
[ [ false, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true,...
[ [ "(75 - 45) + 45", "(45 + 75)", "(45 + 75)" ], [ "(45 + 75)", "(45 + 75)" ], [ "(45 + 75)", "(75 + 45)", "(75 + 45)" ], [ "(45 + 75)", "(75 + 45)", "(75 + 45)" ], [ "(45 + 75)", "(45 + 75)", "(45 + 75)" ], [ "(45 + 75)", "(45 + 75)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 587, "span_text": "(75 - 45) + 45", "extraction_type": "internal", "span_start": 587, "span_end": 603, "original_span": "(75 - 45) + 45"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1576, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1576, "span_end": 1587, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 678, "span_end": 689, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 893, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 893, "span_end": 904, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1226, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1226, "span_end": 1237, "original_span": "(75 + 45)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1441, "span_end": 1452, "original_span": "(75 + 45)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1313, "span_end": 1324, "original_span": "(75 + 45)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1528, "span_end": 1539, "original_span": "(75 + 45)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1443, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1443, "span_end": 1454, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1691, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1691, "span_end": 1702, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1192, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1192, "span_end": 1203, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1407, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1407, "span_end": 1418, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1285, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1285, "span_end": 1296, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1372, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1372, "span_end": 1383, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1587, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1587, "span_end": 1598, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(75 + 45)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(75 + 45)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1323, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1323, "span_end": 1334, "original_span": "(75 + 45)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1538, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1538, "span_end": 1549, "original_span": "(75 + 45)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1262, "span_end": 1273, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1477, "span_end": 1488, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1027, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1027, "span_end": 1038, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1242, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1242, "span_end": 1253, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 624, "span_text": "(75 - 45) + 45", "extraction_type": "internal", "span_start": 624, "span_end": 640, "original_span": "(75 - 45) + 45"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1384, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1384, "span_end": 1395, "original_span": "(75 + 45)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1599, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 1599, "span_end": 1610, "original_span": "(75 + 45)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1205, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1205, "span_end": 1216, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1420, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 1420, "span_end": 1431, "original_span": "(45 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(45 + 75)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(45 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1299, "span_text": "(75 - 45) + 45", "extraction_type": "internal", "span_start": 1299, "span_end": 1315, "original_span": "(75 - 45) + 45"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2157, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 2157, "span_end": 2168, "original_span": "(75 + 45)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2372, "span_text": "(75 + 45)", "extraction_type": "internal", "span_start": 2372, "span_end": 2383, "original_span": "(75 + 45)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(75 - 45) + 45", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(75 - 45) + 45", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(45 + 75)", "final_answer": 120.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(75 - 45) + 45", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 45)", "final_answer": 120.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3 ], "reflect_open": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3 ], "sample_open": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 62 and 14 exactly once and combine them using basic arithmetic operations to get the target number 868.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 62 + 14 = 76 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)", "(62 * 14)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1555, "span_end": 1566, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1314, "span_end": 1325, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1272, "span_end": 1283, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1505, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1481, "span_end": 1492, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1549, "span_end": 1560, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1569, "span_end": 1580, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1560, "span_end": 1571, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1296, "span_end": 1307, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1527, "span_end": 1538, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 690, "span_end": 701, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1549, "span_end": 1560, "original_span": "(62 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1565, "span_end": 1576, "original_span": "(62 * 14)"}]
[{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(62 * 14)", "(62 * 14)", "(62 * 14)" ], [ "(62 * 14)", "(62 * 14)", "(62 * 14)" ], [ "(62 * 14)", "(62 * 14)", "(62 * 14)" ], [ "(62 * 14)", "(62 * 14)", "(62 * 14)" ], [ "(62 * 14)", "(62 * 14)", "(62 * 14)" ], [ "(62 * 14)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1295, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1295, "span_end": 1306, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1555, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1555, "span_end": 1566, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1054, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1054, "span_end": 1065, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1314, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1314, "span_end": 1325, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1020, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1020, "span_end": 1031, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1272, "span_end": 1283, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1266, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1266, "span_end": 1277, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1481, "span_end": 1492, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1309, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1309, "span_end": 1320, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1569, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1569, "span_end": 1580, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1560, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1560, "span_end": 1571, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1294, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1294, "span_end": 1305, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 413, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 413, "span_end": 424, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1036, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1036, "span_end": 1047, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1266, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1266, "span_end": 1277, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1527, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1527, "span_end": 1538, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 431, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 431, "span_end": 442, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 690, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 690, "span_end": 701, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(62 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1305, "span_end": 1316, "original_span": "(62 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1565, "span_text": "(62 * 14)", "extraction_type": "internal", "span_start": 1565, "span_end": 1576, "original_span": "(62 * 14)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}], [{"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}, {"is_correct": true, "error": null, "answer_block": "(62 * 14)", "final_answer": 868.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 87 and 6 exactly once and combine them using basic arithmetic operations to get the target number 522.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 87 * 6 = 522\n\nThis directly gives us the target number using only one op...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)", "(87 * 6)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1223, "span_end": 1233, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 686, "span_end": 696, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1220, "span_end": 1230, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1447, "span_end": 1457, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1989, "span_end": 1999, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1716, "span_end": 1726, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1223, "span_end": 1233, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1693, "span_end": 1703, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1716, "span_end": 1726, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 657, "span_end": 667, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1276, "span_end": 1286, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1500, "span_end": 1510, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 642, "span_end": 652, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1202, "span_end": 1212, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2003, "span_end": 2013, "original_span": "(87 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1852, "span_end": 1862, "original_span": "(87 * 6)"}]
[{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(87 * 6)", "(87 * 6)", "(87 * 6)" ], [ "(87 * 6)", "(87 * 6)" ], [ "(87 * 6)", "(87 * 6)", "(87 * 6)" ], [ "(87 * 6)", "(87 * 6)", "(87 * 6)" ], [ "(87 * 6)", "(87 * 6)", "(87 * 6)" ], [ "(87 * 6)", "(87 * 6)", "(87 * 6)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1010, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1010, "span_end": 1020, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1223, "span_end": 1233, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 686, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 686, "span_end": 696, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 400, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 400, "span_end": 410, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1007, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1007, "span_end": 1017, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1220, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1220, "span_end": 1230, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 641, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 641, "span_end": 651, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1234, "span_end": 1244, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1447, "span_end": 1457, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1152, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1152, "span_end": 1162, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1776, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1776, "span_end": 1786, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1989, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1989, "span_end": 1999, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 879, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 879, "span_end": 889, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1503, "span_end": 1513, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1716, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1716, "span_end": 1726, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1010, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1010, "span_end": 1020, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1223, "span_end": 1233, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 879, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 879, "span_end": 889, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1480, "span_end": 1490, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1693, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1693, "span_end": 1703, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 906, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 906, "span_end": 916, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1503, "span_end": 1513, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1716, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1716, "span_end": 1726, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 400, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 400, "span_end": 410, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 657, "span_end": 667, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 426, "span_end": 436, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1019, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1019, "span_end": 1029, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1276, "span_end": 1286, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1237, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1237, "span_end": 1247, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1500, "span_end": 1510, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 385, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 385, "span_end": 395, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 642, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 642, "span_end": 652, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 385, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 385, "span_end": 395, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 989, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 989, "span_end": 999, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1202, "span_end": 1212, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1145, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1145, "span_end": 1155, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1788, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1788, "span_end": 1798, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2003, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 2003, "span_end": 2013, "original_span": "(87 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1051, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1051, "span_end": 1061, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1638, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1638, "span_end": 1648, "original_span": "(87 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1852, "span_text": "(87 * 6)", "extraction_type": "internal", "span_start": 1852, "span_end": 1862, "original_span": "(87 * 6)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 6)", "final_answer": 522.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1 ], "reflect_close": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "reflect_open": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "sample_open": [ 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 90 and 66 exactly once and combine them using basic arithmetic operations to get the target number 156.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 90 + 66 = 156 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)", "(90 + 66)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1406, "span_end": 1417, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1614, "span_end": 1625, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1465, "span_end": 1476, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1361, "span_end": 1372, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1361, "span_end": 1372, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2472, "span_end": 2483, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 935, "span_end": 946, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1032, "span_end": 1043, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1476, "span_end": 1487, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 997, "span_end": 1008, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 857, "span_end": 868, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1501, "span_end": 1512, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1425, "span_end": 1436, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1361, "span_end": 1372, "original_span": "(90 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1358, "span_end": 1369, "original_span": "(90 + 66)"}]
[{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, false, true, true ], [ true, true ], [ true, true ...
[ [ "(90 + 66)", "(90 + 66)", "(90 + 66)" ], [ "(90 + 66)", "(90 + 66)" ], [ "(90 + 66)", "(90 + 66)", "(90 + 66)" ], [ "(90 + 66)", "(90 + 66)", "(90 + 66)" ], [ "(90 + 66)", "(90 + 66)", "(90 + 66)" ], [ "(90 + 66)", "(90 + 66)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1406, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1406, "span_end": 1417, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1399, "span_end": 1410, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1614, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1614, "span_end": 1625, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1205, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1205, "span_end": 1216, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1295, "span_text": "(66 - 90) + 90", "extraction_type": "internal", "span_start": 1295, "span_end": 1311, "original_span": "(66 - 90) + 90"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2257, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 2257, "span_end": 2268, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2472, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 2472, "span_end": 2483, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 935, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 935, "span_end": 946, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 817, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 817, "span_end": 828, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1032, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1032, "span_end": 1043, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1261, "span_end": 1272, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1476, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1476, "span_end": 1487, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 782, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 782, "span_end": 793, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 997, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 997, "span_end": 1008, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 642, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 642, "span_end": 653, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 857, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 857, "span_end": 868, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1501, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1501, "span_end": 1512, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1166, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1166, "span_end": 1177, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1425, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1425, "span_end": 1436, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(90 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1143, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1143, "span_end": 1154, "original_span": "(90 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1358, "span_text": "(90 + 66)", "extraction_type": "internal", "span_start": 1358, "span_end": 1369, "original_span": "(90 + 66)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 - 90) + 90", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 66)", "final_answer": 156.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 17 and 92 exactly once and combine them using basic arithmetic operations to get the target number 109.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 17 + 92 = 109 \\]\n\nThis direc...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(17 + 92)", "(92 + 17)", "(92 + 17)", "(17 + 92)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)", "(92 + 17)" ]
[{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(17 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1522, "span_end": 1533, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1646, "span_end": 1657, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1807, "span_end": 1818, "original_span": "(17 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1595, "span_end": 1606, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1601, "span_end": 1612, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1589, "span_end": 1600, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1580, "span_end": 1591, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1547, "span_end": 1558, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1468, "span_end": 1479, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1569, "span_end": 1580, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1423, "span_end": 1434, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1603, "span_end": 1614, "original_span": "(92 + 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1594, "span_end": 1605, "original_span": "(92 + 17)"}]
[{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}]
[ [ true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(17 + 92)" ], [ "(17 + 92)", "(92 + 17)", "(92 + 17)" ], [ "(17 + 92)", "(92 + 17)", "(92 + 17)" ], [ "(17 + 92)", "(17 + 92)", "(17 + 92)" ], [ "(17 + 92)", "(92 + 17)", "(92 + 17)" ], [ "(17 + 92)", "(92 + 17)", "(92 + 17)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(17 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1262, "span_end": 1273, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1522, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1522, "span_end": 1533, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1431, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1431, "span_end": 1442, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1646, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1646, "span_end": 1657, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1592, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 1592, "span_end": 1603, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1807, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 1807, "span_end": 1818, "original_span": "(17 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1380, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1380, "span_end": 1391, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1595, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1595, "span_end": 1606, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1341, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1341, "span_end": 1352, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1601, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1601, "span_end": 1612, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1374, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1374, "span_end": 1385, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1589, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1589, "span_end": 1600, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1365, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1365, "span_end": 1376, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1580, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1580, "span_end": 1591, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1332, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1332, "span_end": 1343, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1547, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1547, "span_end": 1558, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1208, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1208, "span_end": 1219, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1468, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1468, "span_end": 1479, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1228, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1228, "span_end": 1239, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1354, "span_end": 1365, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1569, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1569, "span_end": 1580, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1208, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1208, "span_end": 1219, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1423, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1423, "span_end": 1434, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1388, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1388, "span_end": 1399, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1603, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1603, "span_end": 1614, "original_span": "(92 + 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(17 + 92)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(17 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1334, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1334, "span_end": 1345, "original_span": "(92 + 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1594, "span_text": "(92 + 17)", "extraction_type": "internal", "span_start": 1594, "span_end": 1605, "original_span": "(92 + 17)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}], [{"is_correct": true, "error": null, "answer_block": "(17 + 92)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 17)", "final_answer": 109.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 32 and 20 exactly once and combine them using basic arithmetic operations to get the target number 640.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 32 + 20 = 52 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)", "(32 * 20)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1494, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1327, "span_end": 1338, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1521, "span_end": 1532, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1487, "span_end": 1498, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1267, "span_end": 1278, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1496, "span_end": 1507, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1489, "span_end": 1500, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1184, "span_end": 1195, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1502, "span_end": 1513, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1481, "span_end": 1492, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1532, "span_end": 1543, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1531, "span_end": 1542, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1296, "span_end": 1307, "original_span": "(32 * 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1496, "span_end": 1507, "original_span": "(32 * 20)"}]
[{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(32 * 20)", "(32 * 20)", "(32 * 20)" ], [ "(32 * 20)", "(32 * 20)", "(32 * 20)" ], [ "(32 * 20)", "(32 * 20)", "(32 * 20)" ], [ "(32 * 20)", "(32 * 20)", "(32 * 20)" ], [ "(32 * 20)", "(32 * 20)", "(32 * 20)" ], [ "(32 * 20)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 673, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 673, "span_end": 684, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1268, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1268, "span_end": 1279, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1483, "span_end": 1494, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 420, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 420, "span_end": 431, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1067, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1067, "span_end": 1078, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1327, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1327, "span_end": 1338, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1272, "span_end": 1283, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1487, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1487, "span_end": 1498, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 420, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 420, "span_end": 431, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1015, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1015, "span_end": 1026, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1267, "span_end": 1278, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1281, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1281, "span_end": 1292, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1496, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1496, "span_end": 1507, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1274, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1274, "span_end": 1285, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1489, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1489, "span_end": 1500, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 418, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 418, "span_end": 429, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 969, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 969, "span_end": 980, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 674, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 674, "span_end": 685, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1281, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1281, "span_end": 1292, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1502, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1502, "span_end": 1513, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 667, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 667, "span_end": 678, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1266, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1266, "span_end": 1277, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1481, "span_end": 1492, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1316, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1316, "span_end": 1327, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1531, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1531, "span_end": 1542, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 444, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 444, "span_end": 455, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1036, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1036, "span_end": 1047, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(32 * 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1281, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1281, "span_end": 1292, "original_span": "(32 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1496, "span_text": "(32 * 20)", "extraction_type": "internal", "span_start": 1496, "span_end": 1507, "original_span": "(32 * 20)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}], [{"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}, {"is_correct": true, "error": null, "answer_block": "(32 * 20)", "final_answer": 640.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 74 and 51 exactly once and combine them using basic arithmetic operations to get the target number 125.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 74 + 51 = 125 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)", "(74 + 51)" ]
[{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2581, "span_end": 2592, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1543, "span_end": 1554, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1608, "span_end": 1619, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1604, "span_end": 1615, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(74 + 51)"}]
[{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}]
[ [ true, false, true, true ], [ true, true ], [ true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true ], [ true, true, true ], [ true, true ], [ ...
[ [ "(74 + 51)", "(74 - 51) + 51", "(74 + 51)", "(74 + 51)" ], [ "(74 + 51)", "(74 + 51)" ], [ "(74 + 51)" ], [ "(74 + 51)", "(74 + 51)", "(74 + 51)" ], [ "(74 + 51)", "(74 + 51)" ], [ "(74 + 51)", "(74 + 51)", "(74 + 51)" ], [ "(...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1357, "span_text": "(74 - 51) + 51", "extraction_type": "internal", "span_start": 1357, "span_end": 1373, "original_span": "(74 - 51) + 51"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2366, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 2366, "span_end": 2377, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2581, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 2581, "span_end": 2592, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1328, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 1328, "span_end": 1339, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1543, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 1543, "span_end": 1554, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1608, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 1608, "span_end": 1619, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1389, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 1389, "span_end": 1400, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1604, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 1604, "span_end": 1615, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(74 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(74 + 51)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(74 + 51)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(74 - 51) + 51", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}]]
{ "flips_by": [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], "reflect_close": [ 3, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 ], "reflect_open": [ 3, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 3, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 ], "sample_open": [ 3, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 80 and 7 exactly once and combine them using basic arithmetic operations to get the target number 560.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 80 + 7 = 87 \\]\n\nThis result i...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)", "(80 * 7)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1968, "span_end": 1978, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1493, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1448, "span_end": 1458, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1509, "span_end": 1519, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1494, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1490, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1206, "span_end": 1216, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1534, "span_end": 1544, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1554, "span_end": 1564, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1563, "span_end": 1573, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1878, "span_end": 1888, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1547, "span_end": 1557, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1227, "span_end": 1237, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1473, "span_end": 1483, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1516, "span_end": 1526, "original_span": "(80 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1332, "span_end": 1342, "original_span": "(80 * 7)"}]
[{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(80 * 7)", "(80 * 7)", "(80 * 7)" ], [ "(80 * 7)", "(80 * 7)", "(80 * 7)" ], [ "(80 * 7)", "(80 * 7)", "(80 * 7)" ], [ "(80 * 7)", "(80 * 7)", "(80 * 7)" ], [ "(80 * 7)", "(80 * 7)", "(80 * 7)" ], [ "(80 * 7)", "(80 * 7)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1084, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1084, "span_end": 1094, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1680, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1680, "span_end": 1690, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1968, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1968, "span_end": 1978, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 657, "span_end": 667, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1270, "span_end": 1280, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1483, "span_end": 1493, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 641, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 641, "span_end": 651, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1235, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1235, "span_end": 1245, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1448, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1448, "span_end": 1458, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 700, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 700, "span_end": 710, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1296, "span_end": 1306, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1509, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1509, "span_end": 1519, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 641, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 641, "span_end": 651, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1271, "span_end": 1281, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1484, "span_end": 1494, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 657, "span_end": 667, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1267, "span_end": 1277, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1480, "span_end": 1490, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 993, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 993, "span_end": 1003, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1206, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1206, "span_end": 1216, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 670, "span_end": 680, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1274, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1274, "span_end": 1284, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1534, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1534, "span_end": 1544, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1261, "span_end": 1271, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1554, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1554, "span_end": 1564, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 703, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 703, "span_end": 713, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1303, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1303, "span_end": 1313, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1563, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1563, "span_end": 1573, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1050, "span_text": "(80 * 7) - 7", "extraction_type": "internal", "span_start": 1050, "span_end": 1064, "original_span": "(80 * 7) - 7"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1665, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1665, "span_end": 1675, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1878, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1878, "span_end": 1888, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1261, "span_end": 1271, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1547, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1547, "span_end": 1557, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1014, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1014, "span_end": 1024, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1227, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1227, "span_end": 1237, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1260, "span_end": 1270, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1473, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1473, "span_end": 1483, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 641, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 641, "span_end": 651, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1235, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1235, "span_end": 1245, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1516, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1516, "span_end": 1526, "original_span": "(80 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1046, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1046, "span_end": 1056, "original_span": "(80 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1332, "span_text": "(80 * 7)", "extraction_type": "internal", "span_start": 1332, "span_end": 1342, "original_span": "(80 * 7)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(80 * 7) - 7", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}], [{"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}, {"is_correct": true, "error": null, "answer_block": "(80 * 7)", "final_answer": 560.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 73 and 80 exactly once and combine them using basic arithmetic operations to get the target number 153.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 73 + 80 = 153 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(73 + 80)", "(73 + 80)", "(80 + 73)", "(80 + 73)", "(80 + 73)", "(80 + 73)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)", "(73 + 80)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 707, "span_end": 718, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1688, "span_end": 1699, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1506, "span_end": 1517, "original_span": "(80 + 73)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1472, "span_end": 1483, "original_span": "(80 + 73)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1572, "span_end": 1583, "original_span": "(80 + 73)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(80 + 73)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 707, "span_end": 718, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 760, "span_end": 771, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1775, "span_end": 1786, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 860, "span_end": 871, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 773, "span_end": 784, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1505, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1440, "span_end": 1451, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1707, "span_end": 1718, "original_span": "(73 + 80)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1449, "span_end": 1460, "original_span": "(73 + 80)"}]
[{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ ...
[ [ "(73 + 80)", "(73 + 80)" ], [ "(73 + 80)", "(73 + 80)", "(73 + 80)" ], [ "(73 + 80)", "(80 + 73)", "(80 + 73)" ], [ "(73 + 80)", "(80 + 73)", "(80 + 73)" ], [ "(73 + 80)", "(80 + 73)", "(80 + 73)" ], [ "(73 + 80)", "(80 + 73)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 707, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 707, "span_end": 718, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1473, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1473, "span_end": 1484, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1688, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1688, "span_end": 1699, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1246, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1246, "span_end": 1257, "original_span": "(80 + 73)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1506, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1506, "span_end": 1517, "original_span": "(80 + 73)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1257, "span_end": 1268, "original_span": "(80 + 73)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1472, "span_end": 1483, "original_span": "(80 + 73)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1357, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1357, "span_end": 1368, "original_span": "(80 + 73)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1572, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1572, "span_end": 1583, "original_span": "(80 + 73)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(80 + 73)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(80 + 73)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(80 + 73)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 707, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 707, "span_end": 718, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1331, "span_end": 1342, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 760, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 760, "span_end": 771, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1775, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1775, "span_end": 1786, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 860, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 860, "span_end": 871, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 773, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 773, "span_end": 784, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1225, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1225, "span_end": 1236, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1440, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1440, "span_end": 1451, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1707, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1707, "span_end": 1718, "original_span": "(73 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1234, "span_end": 1245, "original_span": "(73 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1449, "span_text": "(73 + 80)", "extraction_type": "internal", "span_start": 1449, "span_end": 1460, "original_span": "(73 + 80)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 73)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1 ], "reflect_close": [ 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2 ], "reflect_open": [ 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2 ], "sample_open": [ 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 27 and 84 exactly once and combine them using basic arithmetic operations to get the target number 111.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 27 + 84 = 111 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(27 + 84)", "(84 + 27)", "(27 + 84)", "(84 + 27)", "(27 + 84)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1593, "span_end": 1604, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1392, "span_end": 1403, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1464, "span_end": 1475, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1503, "span_end": 1514, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1397, "span_end": 1408, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1361, "span_end": 1372, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1418, "span_end": 1429, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 736, "span_end": 747, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1560, "span_end": 1571, "original_span": "(84 + 27)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1419, "span_end": 1430, "original_span": "(27 + 84)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1399, "span_end": 1410, "original_span": "(84 + 27)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}]
[{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(84 + 27)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(84 + 27)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}]
[ [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ]...
[ [ "(27 + 84)", "(27 + 84)" ], [ "(27 + 84)", "(27 + 84)" ], [ "(27 + 84)", "(27 + 84)" ], [ "(27 + 84)", "(27 + 84)" ], [ "(27 + 84)", "(27 + 84)" ], [ "(27 + 84)", "(27 + 84)", "(27 + 84)" ], [ "(27 + 84)", "(27 + 84)", "(27 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1378, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1378, "span_end": 1389, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1593, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1593, "span_end": 1604, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1177, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1177, "span_end": 1188, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1392, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1392, "span_end": 1403, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1249, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1249, "span_end": 1260, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1464, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1464, "span_end": 1475, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1182, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1182, "span_end": 1193, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1397, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1397, "span_end": 1408, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1418, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1418, "span_end": 1429, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 736, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 736, "span_end": 747, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1312, "span_text": "(84 + 27)", "extraction_type": "internal", "span_start": 1312, "span_end": 1323, "original_span": "(84 + 27)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1560, "span_text": "(84 + 27)", "extraction_type": "internal", "span_start": 1560, "span_end": 1571, "original_span": "(84 + 27)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1204, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1204, "span_end": 1215, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1419, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 1419, "span_end": 1430, "original_span": "(27 + 84)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(84 + 27)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(84 + 27)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(84 + 27)", "extraction_type": "internal", "span_start": 1399, "span_end": 1410, "original_span": "(84 + 27)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(27 + 84)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(27 + 84)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(27 + 84)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(84 + 27)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(84 + 27)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(84 + 27)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(84 + 27)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(27 + 84)", "final_answer": 111.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0 ], "reflect_close": [ 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1 ], "reflect_open": [ 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1 ], "sample_open": [ 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 66 and 55 exactly once and combine them using basic arithmetic operations to get the target number 121.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 66 + 55 = 121 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, false, true, true, true, true, true, true ]
[ "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(55 + 66)", "(66 + 55)", "(66 - 55) * 11", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)", "(66 + 55)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1511, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1465, "span_end": 1476, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1562, "span_end": 1573, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1921, "span_end": 1932, "original_span": "(55 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2458, "span_end": 2469, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1540, "span_end": 1556, "original_span": "(66 - 55) * 11"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1419, "span_end": 1430, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1537, "span_end": 1548, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1515, "span_end": 1526, "original_span": "(66 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1607, "span_end": 1618, "original_span": "(66 + 55)"}]
[{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(55 + 66)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(66 - 55) * 11", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ false, true, true ], [ ...
[ [ "(66 + 55)", "(66 + 55)" ], [ "(66 + 55)", "(66 + 55)", "(66 + 55)" ], [ "(66 + 55)", "(66 + 55)", "(66 + 55)" ], [ "(66 + 55)", "(66 + 55)", "(66 + 55)" ], [ "(66 + 55)", "(66 + 55)" ], [ "(66 + 55)", "(66 + 55)", "(66 + 55)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1285, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1285, "span_end": 1296, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1250, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1250, "span_end": 1261, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1347, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1347, "span_end": 1358, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1562, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1562, "span_end": 1573, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1706, "span_text": "(55 + 66)", "extraction_type": "internal", "span_start": 1706, "span_end": 1717, "original_span": "(55 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1921, "span_text": "(55 + 66)", "extraction_type": "internal", "span_start": 1921, "span_end": 1932, "original_span": "(55 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1346, "span_text": "(66 - 55) + 55", "extraction_type": "internal", "span_start": 1346, "span_end": 1362, "original_span": "(66 - 55) + 55"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2243, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 2243, "span_end": 2254, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2458, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 2458, "span_end": 2469, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1301, "span_text": "(66 - 55) * 11", "extraction_type": "internal", "span_start": 1301, "span_end": 1317, "original_span": "(66 - 55) * 11"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1540, "span_text": "(66 - 55) * 11", "extraction_type": "internal", "span_start": 1540, "span_end": 1556, "original_span": "(66 - 55) * 11"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1204, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1204, "span_end": 1215, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1419, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1419, "span_end": 1430, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1537, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1537, "span_end": 1548, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(66 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1392, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1392, "span_end": 1403, "original_span": "(66 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1607, "span_text": "(66 + 55)", "extraction_type": "internal", "span_start": 1607, "span_end": 1618, "original_span": "(66 + 55)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(55 + 66)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(55 + 66)", "final_answer": 121.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 - 55) + 55", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(66 - 55) * 11", "final_answer": 121.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(66 - 55) * 11", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 15, "pass_at_n": 1, "percent_correct": 0.9375, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1 ], "reflect_close": [ 1, 2, 2, 2, 1, 2, 1, 2, 3, 2, 1, 1, 2, 2, 2, 2 ], "reflect_open": [ 1, 2, 2, 2, 1, 2, 1, 2, 3, 2, 1, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 2, 1, 2, 1, 2, 3, 2, 1, 1, 2, 2, 2, 2 ], "sample_open": [ 1, 2, 2, 2, 1, 2, 1, 2, 3, 2, 1, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 66 and 47 exactly once and combine them using basic arithmetic operations to get the target number 113.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 66 + 47 = 113 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)", "(66 + 47)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 2067, "span_end": 2078, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 764, "span_end": 775, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 966, "span_end": 977, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1508, "span_end": 1519, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1687, "span_end": 1698, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1682, "span_end": 1693, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2332, "span_end": 2343, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1696, "span_end": 1707, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1031, "span_end": 1042, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1552, "span_end": 1563, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2134, "span_end": 2145, "original_span": "(66 + 47)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 994, "span_end": 1005, "original_span": "(66 + 47)"}]
[{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}]
[ [ true, true ], [ true, true, true ], [ true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(66 + 47)", "(66 + 47)" ], [ "(66 + 47)", "(66 + 47)", "(66 + 47)" ], [ "(66 + 47)" ], [ "(66 + 47)", "(66 + 47)" ], [ "(66 + 47)", "(66 + 47)", "(66 + 47)" ], [ "(66 + 47)", "(66 + 47)", "(66 + 47)" ], [ "(66 + 47)", "(66 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1852, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1852, "span_end": 1863, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2067, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 2067, "span_end": 2078, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1331, "span_end": 1342, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 764, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 764, "span_end": 775, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 751, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 751, "span_end": 762, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 966, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 966, "span_end": 977, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1293, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1293, "span_end": 1304, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1508, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1508, "span_end": 1519, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1687, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1687, "span_end": 1698, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1331, "span_end": 1342, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1467, "span_end": 1478, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1682, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1682, "span_end": 1693, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2117, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 2117, "span_end": 2128, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2332, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 2332, "span_end": 2343, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1481, "span_end": 1492, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1696, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1696, "span_end": 1707, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 816, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 816, "span_end": 827, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1031, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1031, "span_end": 1042, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1337, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1337, "span_end": 1348, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1552, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1552, "span_end": 1563, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1919, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 1919, "span_end": 1930, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2134, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 2134, "span_end": 2145, "original_span": "(66 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 779, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 779, "span_end": 790, "original_span": "(66 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 994, "span_text": "(66 + 47)", "extraction_type": "internal", "span_start": 994, "span_end": 1005, "original_span": "(66 + 47)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 47)", "final_answer": 113.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0 ], "reflect_close": [ 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1 ], "reflect_open": [ 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1 ], "sample_open": [ 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 75 and 91 exactly once and combine them using basic arithmetic operations to get the target number 166.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 75 + 91 = 166 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(91 + 75)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)", "(75 + 91)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1465, "span_end": 1476, "original_span": "(91 + 75)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1457, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1805, "span_end": 1816, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1488, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}]
[{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 75)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}]
[ [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ ...
[ [ "(75 + 91)", "(75 + 91)" ], [ "(75 + 91)", "(75 + 91)" ], [ "(75 + 91)", "(75 + 91)" ], [ "(75 + 91)", "(75 + 91)" ], [ "(75 + 91)", "(91 + 75)", "(91 + 75)" ], [ "(75 + 91)", "(75 + 91)" ], [ "(75 + 91)", "(75 + 91)", "(75 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1250, "span_text": "(91 + 75)", "extraction_type": "internal", "span_start": 1250, "span_end": 1261, "original_span": "(91 + 75)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(91 + 75)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(91 + 75)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 1231, "span_end": 1242, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 1446, "span_end": 1457, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1590, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 1590, "span_end": 1601, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1805, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 1805, "span_end": 1816, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 1262, "span_end": 1273, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 1477, "span_end": 1488, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 91)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(75 + 91)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(75 + 91)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 75)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 75)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 91)", "final_answer": 166.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], "reflect_close": [ 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1 ], "reflect_open": [ 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1 ], "sample_open": [ 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 81 and 40 exactly once and combine them using basic arithmetic operations to get the target number 121.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 81 + 40 = 121 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)", "(81 + 40)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2434, "span_end": 2445, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1534, "span_end": 1545, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1457, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1551, "span_end": 1562, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1456, "span_end": 1467, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1426, "span_end": 1437, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1711, "span_end": 1722, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1593, "span_end": 1604, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2966, "span_end": 2977, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1620, "span_end": 1631, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1419, "span_end": 1430, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3346, "span_end": 3357, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1596, "span_end": 1607, "original_span": "(81 + 40)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1706, "span_end": 1717, "original_span": "(81 + 40)"}]
[{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}]
[ [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true ], [ true, ...
[ [ "(81 - 40) + 40", "(81 + 40)", "(81 + 40)" ], [ "(81 + 40)", "(81 + 40)", "(81 + 40)" ], [ "(81 + 40)", "(81 + 40)", "(81 + 40)" ], [ "(81 + 40)", "(81 + 40)", "(81 + 40)" ], [ "(81 + 40)", "(81 + 40)" ], [ "(81 + 40)", "(81 + 40)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(81 - 40) + 40", "extraction_type": "internal", "span_start": 1288, "span_end": 1304, "original_span": "(81 - 40) + 40"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2219, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 2219, "span_end": 2230, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2434, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 2434, "span_end": 2445, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1319, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1319, "span_end": 1330, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1534, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1534, "span_end": 1545, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1231, "span_end": 1242, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1446, "span_end": 1457, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1291, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1291, "span_end": 1302, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1551, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1551, "span_end": 1562, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1241, "span_end": 1252, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1456, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1456, "span_end": 1467, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1211, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1211, "span_end": 1222, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1426, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1426, "span_end": 1437, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1496, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1496, "span_end": 1507, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1711, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1711, "span_end": 1722, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1378, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1378, "span_end": 1389, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1593, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1593, "span_end": 1604, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1913, "span_text": "(81 - 40) * 40", "extraction_type": "internal", "span_start": 1913, "span_end": 1929, "original_span": "(81 - 40) * 40"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2751, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 2751, "span_end": 2762, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2966, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 2966, "span_end": 2977, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1405, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1405, "span_end": 1416, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1620, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1620, "span_end": 1631, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1204, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1204, "span_end": 1215, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1419, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1419, "span_end": 1430, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2304, "span_text": "(81 * 40) - 40", "extraction_type": "internal", "span_start": 2304, "span_end": 2320, "original_span": "(81 * 40) - 40"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3131, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 3131, "span_end": 3142, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3346, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 3346, "span_end": 3357, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1381, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1381, "span_end": 1392, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1596, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1596, "span_end": 1607, "original_span": "(81 + 40)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(81 + 40)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1706, "span_text": "(81 + 40)", "extraction_type": "internal", "span_start": 1706, "span_end": 1717, "original_span": "(81 + 40)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 - 40) + 40", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 - 40) * 40", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 * 40) - 40", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 40)", "final_answer": 121.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0 ], "flips_total": 2, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1 ], "reflect_close": [ 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 2 ], "reflect_open": [ 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 2 ], "sample_open": [ 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 37 and 87 exactly once and combine them using basic arithmetic operations to get the target number 124.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 37 + 87 = 124 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)", "(37 + 87)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1482, "span_end": 1493, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1493, "span_end": 1504, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1525, "span_end": 1536, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1471, "span_end": 1482, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1579, "span_end": 1590, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1520, "span_end": 1531, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1453, "span_end": 1464, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1536, "span_end": 1547, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1563, "span_end": 1574, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(37 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(37 + 87)"}]
[{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(37 + 87)", "(37 + 87)", "(37 + 87)" ], [ "(37 + 87)", "(37 + 87)", "(37 + 87)" ], [ "(37 + 87)", "(37 + 87)" ], [ "(37 + 87)", "(37 + 87)" ], [ "(37 + 87)", "(37 + 87)", "(37 + 87)" ], [ "(37 + 87)" ], [ "(37 + 87)", "(37 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1267, "span_end": 1278, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1482, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1482, "span_end": 1493, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1248, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1248, "span_end": 1259, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1278, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1278, "span_end": 1289, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1493, "span_end": 1504, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1525, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1525, "span_end": 1536, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1256, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1256, "span_end": 1267, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1471, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1471, "span_end": 1482, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1364, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1364, "span_end": 1375, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1579, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1579, "span_end": 1590, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1305, "span_end": 1316, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1520, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1520, "span_end": 1531, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1238, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1238, "span_end": 1249, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1453, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1453, "span_end": 1464, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1321, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1321, "span_end": 1332, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1536, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1536, "span_end": 1547, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1247, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1247, "span_end": 1258, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1348, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1348, "span_end": 1359, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1563, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 1563, "span_end": 1574, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(37 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(37 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(37 + 87)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(37 + 87)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}], [{"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}, {"is_correct": true, "error": null, "answer_block": "(37 + 87)", "final_answer": 124.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0 ], "reflect_close": [ 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1 ], "reflect_open": [ 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1 ], "sample_open": [ 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 63 and 52 exactly once and combine them using basic arithmetic operations to get the target number 115.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 63 + 52 = 115 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)", "(63 + 52)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1445, "span_end": 1456, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1508, "span_end": 1519, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1445, "span_end": 1456, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1588, "span_end": 1599, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1521, "span_end": 1532, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1550, "span_end": 1561, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1654, "span_end": 1665, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 846, "span_end": 857, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1514, "span_end": 1525, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1603, "span_end": 1614, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1470, "span_end": 1481, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1504, "span_end": 1515, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1459, "span_end": 1470, "original_span": "(63 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(63 + 52)"}]
[{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true ], [ true, true, true ], [ true, ...
[ [ "(63 + 52)", "(63 + 52)", "(63 + 52)" ], [ "(63 + 52)", "(63 + 52)", "(63 + 52)" ], [ "(63 + 52)", "(63 + 52)" ], [ "(63 + 52)", "(63 + 52)", "(63 + 52)" ], [ "(63 + 52)", "(63 + 52)" ], [ "(63 + 52)", "(63 + 52)", "(63 + 52)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1230, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1230, "span_end": 1241, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1445, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1445, "span_end": 1456, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1293, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1293, "span_end": 1304, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1508, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1508, "span_end": 1519, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1230, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1230, "span_end": 1241, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1445, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1445, "span_end": 1456, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1373, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1373, "span_end": 1384, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1588, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1588, "span_end": 1599, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1306, "span_end": 1317, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1335, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1335, "span_end": 1346, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1550, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1550, "span_end": 1561, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1654, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1654, "span_end": 1665, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 846, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 846, "span_end": 857, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1299, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1299, "span_end": 1310, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1514, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1514, "span_end": 1525, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1388, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1388, "span_end": 1399, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1603, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1603, "span_end": 1614, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1255, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1255, "span_end": 1266, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1470, "span_end": 1481, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1504, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1504, "span_end": 1515, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 1459, "span_end": 1470, "original_span": "(63 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(63 + 52)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(63 + 52)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 52)", "final_answer": 115.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 41 and 22 exactly once and combine them using basic arithmetic operations to get the target number 902.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 41 * 22 = 902\n\nThis directly gives us the target number using only the ...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)", "(41 * 22)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1295, "span_end": 1306, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1326, "span_end": 1337, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1512, "span_end": 1523, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1559, "span_end": 1570, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1533, "span_end": 1544, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1542, "span_end": 1553, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1221, "span_end": 1232, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1556, "span_end": 1567, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1503, "span_end": 1514, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1541, "span_end": 1552, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1502, "span_end": 1513, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 675, "span_end": 686, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1499, "span_end": 1510, "original_span": "(41 * 22)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1520, "span_end": 1531, "original_span": "(41 * 22)"}]
[{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true,...
[ [ "(41 * 22)", "(41 * 22)", "(41 * 22)" ], [ "(41 * 22)", "(41 * 22)", "(41 * 22)" ], [ "(41 * 22)", "(41 * 22)", "(41 * 22)" ], [ "(41 * 22)", "(41 * 22)", "(41 * 22)" ], [ "((41 - 22) * 22)", "(41 * 22)", "(41 * 22)" ], [ "(41 * 2...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 420, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 420, "span_end": 431, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1043, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1043, "span_end": 1054, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1295, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1295, "span_end": 1306, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1066, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1066, "span_end": 1077, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1326, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1326, "span_end": 1337, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1297, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1297, "span_end": 1308, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1292, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1292, "span_end": 1303, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1559, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1559, "span_end": 1570, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 701, "span_text": "((41 - 22) * 22)", "extraction_type": "internal", "span_start": 701, "span_end": 719, "original_span": "((41 - 22) * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1006, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1006, "span_end": 1017, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1221, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1221, "span_end": 1232, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1556, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1556, "span_end": 1567, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1541, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1541, "span_end": 1552, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1287, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1287, "span_end": 1298, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1502, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1502, "span_end": 1513, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 420, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 420, "span_end": 431, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1284, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1284, "span_end": 1295, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1499, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1499, "span_end": 1510, "original_span": "(41 * 22)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1305, "span_end": 1316, "original_span": "(41 * 22)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1520, "span_text": "(41 * 22)", "extraction_type": "internal", "span_start": 1520, "span_end": 1531, "original_span": "(41 * 22)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((41 - 22) * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}], [{"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}, {"is_correct": true, "error": null, "answer_block": "(41 * 22)", "final_answer": 902.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 61 and 64 exactly once and combine them using basic arithmetic operations to get the target number 125.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 61 + 64 = 125 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(64 + 61)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(64 + 61)", "(61 + 64)", "(61 + 64)", "(61 + 64)", "(61 + 64)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1384, "span_end": 1395, "original_span": "(64 + 61)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 890, "span_end": 901, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 892, "span_end": 903, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2126, "span_end": 2137, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 866, "span_end": 877, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1566, "span_end": 1577, "original_span": "(64 + 61)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1070, "span_end": 1081, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1094, "span_end": 1105, "original_span": "(61 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(61 + 64)"}]
[{"is_correct": true, "error": null, "answer_block": "(64 + 61)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(64 + 61)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, ...
[ [ "(61 + 64)", "(64 + 61)", "(64 + 61)" ], [ "(61 + 64)", "(61 + 64)" ], [ "(61 + 64)", "(61 + 64)" ], [ "(61 + 64)", "(61 + 64)" ], [ "(61 + 64)", "(61 + 64)" ], [ "(61 + 64)", "(61 + 64)" ], [ "(61 + 64)", "(61 + 64)" ], [ ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1169, "span_text": "(64 + 61)", "extraction_type": "internal", "span_start": 1169, "span_end": 1180, "original_span": "(64 + 61)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1384, "span_text": "(64 + 61)", "extraction_type": "internal", "span_start": 1384, "span_end": 1395, "original_span": "(64 + 61)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 890, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 890, "span_end": 901, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 892, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 892, "span_end": 903, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1911, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 1911, "span_end": 1922, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2126, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 2126, "span_end": 2137, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 651, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 651, "span_end": 662, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 866, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 866, "span_end": 877, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1351, "span_text": "(64 + 61)", "extraction_type": "internal", "span_start": 1351, "span_end": 1362, "original_span": "(64 + 61)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1566, "span_text": "(64 + 61)", "extraction_type": "internal", "span_start": 1566, "span_end": 1577, "original_span": "(64 + 61)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 855, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 855, "span_end": 866, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1070, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 1070, "span_end": 1081, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 879, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 879, "span_end": 890, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1094, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 1094, "span_end": 1105, "original_span": "(61 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(61 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(61 + 64)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(61 + 64)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(64 + 61)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(64 + 61)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(64 + 61)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(64 + 61)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 64)", "final_answer": 125.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], "reflect_close": [ 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1 ], "reflect_open": [ 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1 ], "sample_open": [ 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 97 and 55 exactly once and combine them using basic arithmetic operations to get the target number 152.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 97 + 55 = 152 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)", "(97 + 55)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1573, "span_end": 1584, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1522, "span_end": 1533, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1702, "span_end": 1713, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1501, "span_end": 1512, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1765, "span_end": 1776, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1813, "span_end": 1824, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 817, "span_end": 828, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1435, "span_end": 1446, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1754, "span_end": 1765, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1526, "span_end": 1537, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1775, "span_end": 1786, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1720, "span_end": 1731, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1370, "span_end": 1381, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1361, "span_end": 1372, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1653, "span_end": 1664, "original_span": "(97 + 55)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 949, "span_end": 960, "original_span": "(97 + 55)"}]
[{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(97 + 55)", "(97 + 55)", "(97 + 55)" ], [ "(97 + 55)", "(97 + 55)" ], [ "(97 + 55)", "(97 + 55)", "(97 + 55)" ], [ "(97 + 55)", "(97 + 55)", "(97 + 55)" ], [ "(97 + 55)", "(97 + 55)", "(97 + 55)" ], [ "(97 + 55)", "(97 + 55)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1573, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1573, "span_end": 1584, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1307, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1307, "span_end": 1318, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1522, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1522, "span_end": 1533, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1487, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1487, "span_end": 1498, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1702, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1702, "span_end": 1713, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1501, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1501, "span_end": 1512, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1550, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1550, "span_end": 1561, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1765, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1765, "span_end": 1776, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1813, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1813, "span_end": 1824, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 562, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 562, "span_end": 573, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 817, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 817, "span_end": 828, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1220, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1220, "span_end": 1231, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1435, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1435, "span_end": 1446, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1754, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1754, "span_end": 1765, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1311, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1311, "span_end": 1322, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1526, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1526, "span_end": 1537, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1560, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1560, "span_end": 1571, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1775, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1775, "span_end": 1786, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1460, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1460, "span_end": 1471, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1720, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1720, "span_end": 1731, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1155, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1155, "span_end": 1166, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1370, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1370, "span_end": 1381, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1404, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1404, "span_end": 1415, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1653, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 1653, "span_end": 1664, "original_span": "(97 + 55)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 689, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 689, "span_end": 700, "original_span": "(97 + 55)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 949, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 949, "span_end": 960, "original_span": "(97 + 55)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 76 and 43 exactly once and combine them using basic arithmetic operations to get the target number 119.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 76 + 43 = 119 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)", "(76 + 43)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1574, "span_end": 1585, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1542, "span_end": 1553, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1552, "span_end": 1563, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1545, "span_end": 1556, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1606, "span_end": 1617, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1629, "span_end": 1640, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1545, "span_end": 1556, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1537, "span_end": 1548, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1682, "span_end": 1693, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1612, "span_end": 1623, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1597, "span_end": 1608, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1570, "span_end": 1581, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1535, "span_end": 1546, "original_span": "(76 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1643, "span_end": 1654, "original_span": "(76 + 43)"}]
[{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(76 + 43)", "(76 + 43)", "(76 + 43)" ], [ "(76 + 43)", "(76 + 43)", "(76 + 43)" ], [ "(76 + 43)", "(76 + 43)", "(76 + 43)" ], [ "(76 + 43)", "(76 + 43)", "(76 + 43)" ], [ "(76 + 43)", "(76 + 43)", "(76 + 43)" ], [ "(76 + 43)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1359, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1359, "span_end": 1370, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1574, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1574, "span_end": 1585, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1327, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1327, "span_end": 1338, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1337, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1337, "span_end": 1348, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1552, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1552, "span_end": 1563, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1330, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1330, "span_end": 1341, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1545, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1545, "span_end": 1556, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1346, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1346, "span_end": 1357, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1606, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1606, "span_end": 1617, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1414, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1414, "span_end": 1425, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1629, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1629, "span_end": 1640, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1330, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1330, "span_end": 1341, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1545, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1545, "span_end": 1556, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1537, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1537, "span_end": 1548, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1467, "span_end": 1478, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1682, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1682, "span_end": 1693, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1352, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1352, "span_end": 1363, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1612, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1612, "span_end": 1623, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1597, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1597, "span_end": 1608, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1355, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1355, "span_end": 1366, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1570, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1570, "span_end": 1581, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1320, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1320, "span_end": 1331, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1535, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1535, "span_end": 1546, "original_span": "(76 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1428, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1428, "span_end": 1439, "original_span": "(76 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1643, "span_text": "(76 + 43)", "extraction_type": "internal", "span_start": 1643, "span_end": 1654, "original_span": "(76 + 43)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 43)", "final_answer": 119.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 46 and 5 exactly once and combine them using basic arithmetic operations to get the target number 230.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 46 * 5 = 230\n\nThis directly gives us the target number using only one op...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)", "(46 * 5)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1241, "span_end": 1251, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1715, "span_end": 1725, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1354, "span_end": 1364, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2055, "span_end": 2065, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1275, "span_end": 1285, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1276, "span_end": 1286, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1807, "span_end": 1817, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1690, "span_end": 1700, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1306, "span_end": 1316, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1322, "span_end": 1332, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1677, "span_end": 1687, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1703, "span_end": 1713, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1919, "span_end": 1929, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1672, "span_end": 1682, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1875, "span_end": 1885, "original_span": "(46 * 5)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1253, "span_end": 1263, "original_span": "(46 * 5)"}]
[{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(46 * 5)", "(46 * 5)", "(46 * 5)" ], [ "(46 * 5)", "(46 * 5)", "(46 * 5)" ], [ "(46 * 5)", "(46 * 5)", "(46 * 5)" ], [ "(46 * 5)", "(46 * 5)", "(46 * 5)" ], [ "(46 * 5)", "(46 * 5)", "(46 * 5)" ], [ "(46 * 5)", "(46 * 5)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1028, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1028, "span_end": 1038, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1241, "span_end": 1251, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 872, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 872, "span_end": 882, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1465, "span_end": 1475, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1715, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1715, "span_end": 1725, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1068, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1068, "span_end": 1078, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1354, "span_end": 1364, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1165, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1165, "span_end": 1175, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1769, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1769, "span_end": 1779, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2055, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 2055, "span_end": 2065, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1018, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1018, "span_end": 1028, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1275, "span_end": 1285, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1063, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1063, "span_end": 1073, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1276, "span_end": 1286, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 927, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 927, "span_end": 937, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1521, "span_end": 1531, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1807, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1807, "span_end": 1817, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 872, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 872, "span_end": 882, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1472, "span_end": 1482, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1690, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1690, "span_end": 1700, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1014, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1014, "span_end": 1024, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1306, "span_end": 1316, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1064, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1064, "span_end": 1074, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1322, "span_end": 1332, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 856, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 856, "span_end": 866, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1459, "span_end": 1469, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1677, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1677, "span_end": 1687, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 887, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 887, "span_end": 897, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1490, "span_end": 1500, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1703, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1703, "span_end": 1713, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1116, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1116, "span_end": 1126, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1706, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1706, "span_end": 1716, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1919, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1919, "span_end": 1929, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 855, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 855, "span_end": 865, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1459, "span_end": 1469, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1672, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1672, "span_end": 1682, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1060, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1060, "span_end": 1070, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1656, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1656, "span_end": 1666, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1875, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1875, "span_end": 1885, "original_span": "(46 * 5)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 995, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 995, "span_end": 1005, "original_span": "(46 * 5)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(46 * 5)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(46 * 5)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}], [{"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}, {"is_correct": true, "error": null, "answer_block": "(46 * 5)", "final_answer": 230.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 81 and 20 exactly once and combine them using basic arithmetic operations to get the target number 101.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 81 + 20 = 101 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(81 + 20)", "(81 + 20)", "(81 + 20)", "(81 + 20)", "(20 + 81)", "(81 + 20)", "(81 + 20)", "(81 + 20)", "(81 + 20)", "(20 + 81)", "(81 + 20)", "(81 + 20)", "(81 + 20)", "(81 + 20)", "(81 + 20)", "(81 + 20)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1598, "span_end": 1609, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1514, "span_end": 1525, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1736, "span_end": 1747, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2101, "span_end": 2112, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1614, "span_end": 1625, "original_span": "(20 + 81)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1658, "span_end": 1669, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1723, "span_end": 1734, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1570, "span_end": 1581, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1645, "span_end": 1656, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1598, "span_end": 1609, "original_span": "(20 + 81)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1613, "span_end": 1624, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1726, "span_end": 1737, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1473, "span_end": 1484, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1673, "span_end": 1684, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1534, "span_end": 1545, "original_span": "(81 + 20)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1920, "span_end": 1931, "original_span": "(81 + 20)"}]
[{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 81)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 81)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(81 + 20)", "(81 + 20)", "(81 + 20)" ], [ "(81 + 20)", "(81 + 20)" ], [ "(81 + 20)", "(81 + 20)", "(81 + 20)" ], [ "(81 + 20)", "(81 + 20)", "(81 + 20)" ], [ "(81 + 20)", "(20 + 81)", "(20 + 81)" ], [ "(81 + 20)", "(81 + 20)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1383, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1383, "span_end": 1394, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1598, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1598, "span_end": 1609, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1254, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1254, "span_end": 1265, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1514, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1514, "span_end": 1525, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1736, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1736, "span_end": 1747, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1886, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1886, "span_end": 1897, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2101, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 2101, "span_end": 2112, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(20 + 81)", "extraction_type": "internal", "span_start": 1399, "span_end": 1410, "original_span": "(20 + 81)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1614, "span_text": "(20 + 81)", "extraction_type": "internal", "span_start": 1614, "span_end": 1625, "original_span": "(20 + 81)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1409, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1409, "span_end": 1420, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1658, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1658, "span_end": 1669, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1508, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1508, "span_end": 1519, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1723, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1723, "span_end": 1734, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1355, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1355, "span_end": 1366, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1570, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1570, "span_end": 1581, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1430, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1430, "span_end": 1441, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1645, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1645, "span_end": 1656, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1383, "span_text": "(20 + 81)", "extraction_type": "internal", "span_start": 1383, "span_end": 1394, "original_span": "(20 + 81)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1598, "span_text": "(20 + 81)", "extraction_type": "internal", "span_start": 1598, "span_end": 1609, "original_span": "(20 + 81)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1398, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1398, "span_end": 1409, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1613, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1613, "span_end": 1624, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1511, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1511, "span_end": 1522, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1726, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1726, "span_end": 1737, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1258, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1258, "span_end": 1269, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1473, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1473, "span_end": 1484, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1414, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1414, "span_end": 1425, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1673, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1673, "span_end": 1684, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1534, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1534, "span_end": 1545, "original_span": "(81 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1705, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1705, "span_end": 1716, "original_span": "(81 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1920, "span_text": "(81 + 20)", "extraction_type": "internal", "span_start": 1920, "span_end": 1931, "original_span": "(81 + 20)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 81)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 81)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 81)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 81)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 20)", "final_answer": 101.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 20 and 90 exactly once and combine them using basic arithmetic operations to get the target number 110.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 20 + 90 = 110 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(20 + 90)", "(20 + 90)", "(20 + 90)", "(90 + 20)", "(20 + 90)", "(90 + 20)", "(90 + 20)", "(20 + 90)", "(20 + 90)", "(20 + 90)", "(20 + 90)", "(20 + 90)", "(20 + 90)", "(20 + 90)", "(20 + 90)", "(20 + 90)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1373, "span_end": 1384, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1344, "span_end": 1355, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 742, "span_end": 753, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1495, "span_end": 1506, "original_span": "(90 + 20)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 673, "span_end": 684, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1433, "span_end": 1444, "original_span": "(90 + 20)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1423, "span_end": 1434, "original_span": "(90 + 20)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1319, "span_end": 1330, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1457, "span_end": 1468, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 742, "span_end": 753, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 673, "span_end": 684, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 786, "span_end": 797, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 649, "span_end": 660, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(20 + 90)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 773, "span_end": 784, "original_span": "(20 + 90)"}]
[{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(20 + 90)", "(20 + 90)", "(20 + 90)" ], [ "(20 + 90)", "(20 + 90)" ], [ "(20 + 90)", "(20 + 90)" ], [ "(20 + 90)", "(90 + 20)", "(90 + 20)" ], [ "(20 + 90)", "(20 + 90)" ], [ "(20 + 90)", "(90 + 20)", "(90 + 20)" ], [ "(90 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1114, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1114, "span_end": 1125, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1373, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1373, "span_end": 1384, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1129, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1129, "span_end": 1140, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1344, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1344, "span_end": 1355, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 527, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 527, "span_end": 538, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 742, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 742, "span_end": 753, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 434, "span_end": 445, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(90 + 20)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(90 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(90 + 20)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(90 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 458, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 458, "span_end": 469, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 673, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 673, "span_end": 684, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 458, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 458, "span_end": 469, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1218, "span_text": "(90 + 20)", "extraction_type": "internal", "span_start": 1218, "span_end": 1229, "original_span": "(90 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1433, "span_text": "(90 + 20)", "extraction_type": "internal", "span_start": 1433, "span_end": 1444, "original_span": "(90 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1208, "span_text": "(90 + 20)", "extraction_type": "internal", "span_start": 1208, "span_end": 1219, "original_span": "(90 + 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1423, "span_text": "(90 + 20)", "extraction_type": "internal", "span_start": 1423, "span_end": 1434, "original_span": "(90 + 20)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 434, "span_end": 445, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1104, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1104, "span_end": 1115, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1319, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1319, "span_end": 1330, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1242, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1242, "span_end": 1253, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1457, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 1457, "span_end": 1468, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 527, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 527, "span_end": 538, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 742, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 742, "span_end": 753, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 458, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 458, "span_end": 469, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 673, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 673, "span_end": 684, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 571, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 571, "span_end": 582, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 786, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 786, "span_end": 797, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 434, "span_end": 445, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(20 + 90)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 558, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 558, "span_end": 569, "original_span": "(20 + 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 773, "span_text": "(20 + 90)", "extraction_type": "internal", "span_start": 773, "span_end": 784, "original_span": "(20 + 90)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 20)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], "reflect_close": [ 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ], "reflect_open": [ 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ], "sample_open": [ 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 28 and 92 exactly once and combine them using basic arithmetic operations to get the target number 120.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 28 + 92 = 120 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(28 + 92)", "(28 + 92)", "(28 + 92)", "(28 + 92)", "(28 + 92)", "(28 + 92)", "(92 + 28)", "(28 + 92)", "(92 + 28)", "(28 + 92)", "(28 + 92)", "(92 + 28)", "(92 + 28)", "(28 + 92)", "(28 + 92)", "(28 + 92)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1416, "span_end": 1427, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 599, "span_end": 610, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 739, "span_end": 750, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1549, "span_end": 1560, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1472, "span_end": 1483, "original_span": "(92 + 28)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1375, "span_end": 1386, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1466, "span_end": 1477, "original_span": "(92 + 28)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1559, "span_end": 1570, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1510, "span_end": 1521, "original_span": "(92 + 28)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(92 + 28)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(28 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1552, "span_end": 1563, "original_span": "(28 + 92)"}]
[{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(28 + 92)", "(28 + 92)", "(28 + 92)" ], [ "(28 + 92)", "(28 + 92)" ], [ "(28 + 92)", "(28 + 92)" ], [ "(28 + 92)", "(28 + 92)" ], [ "(28 + 92)", "(28 + 92)" ], [ "(28 + 92)", "(28 + 92)", "(28 + 92)" ], [ "(28 + 92)", "(92 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1201, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1201, "span_end": 1212, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1416, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1416, "span_end": 1427, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 384, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 384, "span_end": 395, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 599, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 599, "span_end": 610, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 524, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 524, "span_end": 535, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 739, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 739, "span_end": 750, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 458, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 458, "span_end": 469, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1334, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1334, "span_end": 1345, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 384, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 384, "span_end": 395, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1213, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1213, "span_end": 1224, "original_span": "(92 + 28)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1472, "span_end": 1483, "original_span": "(92 + 28)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1160, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1160, "span_end": 1171, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1375, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1375, "span_end": 1386, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1206, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1206, "span_end": 1217, "original_span": "(92 + 28)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1466, "span_end": 1477, "original_span": "(92 + 28)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1344, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1344, "span_end": 1355, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1559, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1559, "span_end": 1570, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1295, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1295, "span_end": 1306, "original_span": "(92 + 28)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1510, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1510, "span_end": 1521, "original_span": "(92 + 28)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 530, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 530, "span_end": 541, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(92 + 28)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(92 + 28)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(92 + 28)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(28 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1337, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1337, "span_end": 1348, "original_span": "(28 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1552, "span_text": "(28 + 92)", "extraction_type": "internal", "span_start": 1552, "span_end": 1563, "original_span": "(28 + 92)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 28)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}], [{"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "(28 + 92)", "final_answer": 120.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1 ], "reflect_close": [ 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2 ], "reflect_open": [ 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2 ], "sample_open": [ 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 76 and 76 exactly once and combine them using basic arithmetic operations to get the target number 152.\n\nLet's explore different combinations:\n\n**Option 1:** \n- Step 1: 76 * 76 = 5776\n- This does not equal 152.\n\n**Option 2:** \n- Step 1: ...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)", "(76 + 76)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 746, "span_end": 757, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1521, "span_end": 1532, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 746, "span_end": 757, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1644, "span_end": 1655, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1461, "span_end": 1472, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 743, "span_end": 754, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1471, "span_end": 1482, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 741, "span_end": 752, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 743, "span_end": 754, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 743, "span_end": 754, "original_span": "(76 + 76)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 746, "span_end": 757, "original_span": "(76 + 76)"}]
[{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}]
[ [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ ...
[ [ "(76 + 76)", "(76 + 76)" ], [ "(76 + 76)", "(76 + 76)", "(76 + 76)" ], [ "(76 + 76)", "(76 + 76)" ], [ "(76 + 76)", "(76 + 76)", "(76 + 76)" ], [ "(76 + 76)", "(76 + 76)", "(76 + 76)" ], [ "(76 + 76)", "(76 + 76)", "(76 + 76)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 531, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 531, "span_end": 542, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1306, "span_end": 1317, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 531, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 531, "span_end": 542, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1429, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1429, "span_end": 1440, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1644, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1644, "span_end": 1655, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1246, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1246, "span_end": 1257, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1461, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1461, "span_end": 1472, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 528, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 528, "span_end": 539, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 743, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 743, "span_end": 754, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 522, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 522, "span_end": 533, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1256, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1256, "span_end": 1267, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1471, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1471, "span_end": 1482, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1248, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1248, "span_end": 1259, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 526, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 526, "span_end": 537, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 741, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 741, "span_end": 752, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 528, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 528, "span_end": 539, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 743, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 743, "span_end": 754, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 528, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 528, "span_end": 539, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 743, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 743, "span_end": 754, "original_span": "(76 + 76)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 531, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 531, "span_end": 542, "original_span": "(76 + 76)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(76 + 76)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(76 + 76)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}], [{"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}, {"is_correct": true, "error": null, "answer_block": "(76 + 76)", "final_answer": 152.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0 ], "reflect_close": [ 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1 ], "reflect_open": [ 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1 ], "sample_open": [ 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 54 and 58 exactly once and combine them using basic arithmetic operations to get the target number 112.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 54 + 58 = 112 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(58 + 54)", "(54 + 58)", "(58 + 54)", "(54 + 58)", "(58 + 54)", "(54 + 58)", "(58 + 54)", "(54 + 58)", "(54 + 58)", "(58 + 54)", "(58 + 54)", "(58 + 54)", "(54 + 58)", "(58 + 54)", "(58 + 54)", "(58 + 54)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(54 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1439, "span_end": 1450, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 896, "span_end": 907, "original_span": "(54 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1466, "span_end": 1477, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1565, "span_end": 1576, "original_span": "(54 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1443, "span_end": 1454, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 969, "span_end": 980, "original_span": "(54 + 58)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 754, "span_end": 765, "original_span": "(54 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1523, "span_end": 1534, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1521, "span_end": 1532, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(54 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1447, "span_end": 1458, "original_span": "(58 + 54)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1557, "span_end": 1568, "original_span": "(58 + 54)"}]
[{"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}]
[ [ true, true, true ], [ true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true ], [ true, true, true ]...
[ [ "(54 + 58)", "(58 + 54)", "(58 + 54)" ], [ "(54 + 58)" ], [ "(54 + 58)", "(58 + 54)", "(58 + 54)" ], [ "(54 + 58)", "(54 + 58)" ], [ "(54 + 58)", "(58 + 54)", "(58 + 54)" ], [ "(58 + 54)", "(54 + 58)", "(54 + 58)" ], [ "(54 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(54 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1224, "span_end": 1235, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 681, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 681, "span_end": 692, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 896, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 896, "span_end": 907, "original_span": "(54 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1206, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1206, "span_end": 1217, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1466, "span_end": 1477, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 672, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 672, "span_end": 683, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 1305, "span_end": 1316, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1565, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 1565, "span_end": 1576, "original_span": "(54 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1228, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1228, "span_end": 1239, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1443, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1443, "span_end": 1454, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 754, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 754, "span_end": 765, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 969, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 969, "span_end": 980, "original_span": "(54 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 754, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 754, "span_end": 765, "original_span": "(54 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1263, "span_end": 1274, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1523, "span_end": 1534, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1261, "span_end": 1272, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(54 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1232, "span_end": 1243, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(58 + 54)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(54 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(54 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1342, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1342, "span_end": 1353, "original_span": "(58 + 54)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1557, "span_text": "(58 + 54)", "extraction_type": "internal", "span_start": 1557, "span_end": 1568, "original_span": "(58 + 54)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(54 + 58)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(58 + 54)", "final_answer": 112.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1 ], "reflect_close": [ 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2 ], "reflect_open": [ 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2 ], "sample_open": [ 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 30 and 23 exactly once and combine them using basic arithmetic operations to get the target number 690.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 30 + 23 = 53 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)", "(30 * 23)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2052, "span_end": 2063, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1527, "span_end": 1538, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1916, "span_end": 1927, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1574, "span_end": 1585, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1533, "span_end": 1544, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2049, "span_end": 2060, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1525, "span_end": 1536, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1476, "span_end": 1487, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1570, "span_end": 1581, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1475, "span_end": 1486, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1532, "span_end": 1543, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1526, "span_end": 1537, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1499, "span_end": 1510, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1532, "span_end": 1543, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1503, "original_span": "(30 * 23)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2589, "span_end": 2600, "original_span": "(30 * 23)"}]
[{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}]
[ [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true...
[ [ "(30 * 23) + 30", "(30 * 23)", "(30 * 23)" ], [ "(30 * 23)", "(30 * 23)", "(30 * 23)" ], [ "(23 * 30)", "(30 * 23)", "(30 * 23)" ], [ "(30 * 23)", "(30 * 23)", "(30 * 23)" ], [ "(30 * 23)", "(30 * 23)", "(30 * 23)" ], [ "(30 * 23)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1135, "span_text": "(30 * 23) + 30", "extraction_type": "internal", "span_start": 1135, "span_end": 1151, "original_span": "(30 * 23) + 30"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1758, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1758, "span_end": 1769, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2052, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 2052, "span_end": 2063, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1274, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1274, "span_end": 1285, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1527, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1527, "span_end": 1538, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1096, "span_text": "(23 * 30)", "extraction_type": "internal", "span_start": 1096, "span_end": 1107, "original_span": "(23 * 30)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1701, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1701, "span_end": 1712, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1916, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1916, "span_end": 1927, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1284, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1284, "span_end": 1295, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1574, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1574, "span_end": 1585, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 659, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 659, "span_end": 670, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1142, "span_text": "(30 * 23) + 23", "extraction_type": "internal", "span_start": 1142, "span_end": 1158, "original_span": "(30 * 23) + 23"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1756, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1756, "span_end": 1767, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2049, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 2049, "span_end": 2060, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1525, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1525, "span_end": 1536, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 657, "span_end": 668, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1261, "span_end": 1272, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1476, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1476, "span_end": 1487, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1570, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1570, "span_end": 1581, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 659, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 659, "span_end": 670, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1260, "span_end": 1271, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1311, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1311, "span_end": 1322, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1526, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1526, "span_end": 1537, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1284, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1284, "span_end": 1295, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1499, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1499, "span_end": 1510, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(30 * 23)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1747, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 1747, "span_end": 1758, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2336, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 2336, "span_end": 2347, "original_span": "(30 * 23)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2589, "span_text": "(30 * 23)", "extraction_type": "internal", "span_start": 2589, "span_end": 2600, "original_span": "(30 * 23)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(30 * 23) + 30", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(23 * 30)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(30 * 23) + 23", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}], [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 32 and 83 exactly once and combine them using basic arithmetic operations to get the target number 115.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 83 * 32 = 2656\n- This result is much larger than 115, so this option doe...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)", "(32 + 83)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 835, "span_end": 846, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 738, "span_end": 749, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 813, "span_end": 824, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1493, "span_end": 1504, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1533, "span_end": 1544, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1691, "span_end": 1702, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 731, "span_end": 742, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2140, "span_end": 2151, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 712, "span_end": 723, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}]
[{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}]
[ [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true ], [ true, true ], [ true, true, true ], ...
[ [ "(32 + 83)", "(32 + 83)" ], [ "(32 + 83)", "(32 + 83)" ], [ "(32 + 83)", "(32 + 83)" ], [ "(32 + 83)", "(32 + 83)" ], [ "(32 + 83)", "(32 + 83)" ], [ "(32 + 83)", "(32 + 83)", "(32 + 83)" ], [ "(32 + 83)", "(32 + 83)" ], [ ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 620, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 620, "span_end": 631, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 835, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 835, "span_end": 846, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 523, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 523, "span_end": 534, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 738, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 738, "span_end": 749, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 598, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 598, "span_end": 609, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 813, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 813, "span_end": 824, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1278, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1278, "span_end": 1289, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1493, "span_end": 1504, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1476, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1476, "span_end": 1487, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1691, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1691, "span_end": 1702, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 731, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 731, "span_end": 742, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1925, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1925, "span_end": 1936, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2140, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 2140, "span_end": 2151, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 712, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 712, "span_end": 723, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(32 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(32 + 83)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(32 + 83)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}], [{"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "(32 + 83)", "final_answer": 115.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], "reflect_close": [ 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1 ], "reflect_open": [ 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1 ], "sample_open": [ 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 37 and 3 exactly once and combine them using basic arithmetic operations to get the target number 111.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 37 + 3 = 40 \\]\n\nThis result i...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(3 * 37)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(37 * 3)", "(3 * 37)", "(37 * 3)" ]
[{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2220, "span_end": 2230, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2195, "span_end": 2205, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1497, "span_end": 1507, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1897, "span_end": 1907, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1788, "span_end": 1798, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1894, "span_end": 1904, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1600, "span_end": 1610, "original_span": "(3 * 37)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1482, "span_end": 1492, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1696, "span_end": 1706, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1523, "span_end": 1533, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1870, "span_end": 1880, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1481, "span_end": 1491, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1481, "span_end": 1491, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1535, "span_end": 1545, "original_span": "(37 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1583, "span_end": 1593, "original_span": "(3 * 37)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1927, "span_end": 1937, "original_span": "(37 * 3)"}]
[{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}]
[ [ true, true, true, true ], [ true, true, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, tru...
[ [ "(37 * 3)", "(3 * 37)", "(37 * 3)", "(37 * 3)" ], [ "(37 * 3)", "(3 * 37)", "(37 * 3)", "(37 * 3)" ], [ "(37 * 3)", "(37 * 3)", "(37 * 3)" ], [ "(37 * 3) - 3", "(37 * 3)", "(37 * 3)" ], [ "(37 * 3)", "(37 * 3)", "(37 * 3)" ], ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 675, "span_end": 685, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1358, "span_text": "(3 * 37)", "extraction_type": "internal", "span_start": 1358, "span_end": 1368, "original_span": "(3 * 37)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1921, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1921, "span_end": 1931, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2220, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 2220, "span_end": 2230, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 678, "span_end": 688, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1370, "span_text": "(3 * 37)", "extraction_type": "internal", "span_start": 1370, "span_end": 1380, "original_span": "(3 * 37)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1942, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1942, "span_end": 1952, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2195, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 2195, "span_end": 2205, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 678, "span_end": 688, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1284, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1284, "span_end": 1294, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1497, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1497, "span_end": 1507, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1075, "span_text": "(37 * 3) - 3", "extraction_type": "internal", "span_start": 1075, "span_end": 1089, "original_span": "(37 * 3) - 3"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1684, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1684, "span_end": 1694, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1897, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1897, "span_end": 1907, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 829, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 829, "span_end": 839, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1473, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1473, "span_end": 1483, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1788, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1788, "span_end": 1798, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1080, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1080, "span_end": 1090, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1681, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1681, "span_end": 1691, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1894, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1894, "span_end": 1904, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 678, "span_end": 688, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1370, "span_text": "(3 * 37)", "extraction_type": "internal", "span_start": 1370, "span_end": 1380, "original_span": "(3 * 37)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1600, "span_text": "(3 * 37)", "extraction_type": "internal", "span_start": 1600, "span_end": 1610, "original_span": "(3 * 37)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 675, "span_end": 685, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1269, "span_end": 1279, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1482, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1482, "span_end": 1492, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 833, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 833, "span_end": 843, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1446, "span_end": 1456, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1696, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1696, "span_end": 1706, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 678, "span_end": 688, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1272, "span_end": 1282, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1523, "span_end": 1533, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1059, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1059, "span_end": 1069, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1656, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1656, "span_end": 1666, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1870, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1870, "span_end": 1880, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 675, "span_end": 685, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1268, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1268, "span_end": 1278, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1481, "span_end": 1491, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 675, "span_end": 685, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1268, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1268, "span_end": 1278, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1481, "span_end": 1491, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 675, "span_end": 685, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1274, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1274, "span_end": 1284, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1535, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1535, "span_end": 1545, "original_span": "(37 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 688, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 688, "span_end": 698, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1336, "span_text": "(3 * 37)", "extraction_type": "internal", "span_start": 1336, "span_end": 1346, "original_span": "(3 * 37)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1583, "span_text": "(3 * 37)", "extraction_type": "internal", "span_start": 1583, "span_end": 1593, "original_span": "(3 * 37)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1066, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1066, "span_end": 1076, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1677, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1677, "span_end": 1687, "original_span": "(37 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1927, "span_text": "(37 * 3)", "extraction_type": "internal", "span_start": 1927, "span_end": 1937, "original_span": "(37 * 3)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(37 * 3) - 3", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(3 * 37)", "final_answer": 111.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 3)", "final_answer": 111.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 62 and 44 exactly once and combine them using basic arithmetic operations to get the target number 106.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 62 + 44 = 106 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)", "(62 + 44)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2438, "span_end": 2449, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 961, "span_end": 972, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1966, "span_end": 1977, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1456, "span_end": 1467, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1580, "span_end": 1591, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2769, "span_end": 2780, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1573, "span_end": 1584, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 991, "span_end": 1002, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 819, "span_end": 830, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3259, "span_end": 3270, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1804, "span_end": 1815, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 4058, "span_end": 4069, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 961, "span_end": 972, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1599, "span_end": 1610, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1699, "span_end": 1710, "original_span": "(62 + 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1505, "span_end": 1516, "original_span": "(62 + 44)"}]
[{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}]
[ [ false, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ false, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, false,...
[ [ "(62 - 44)", "(62 + 44)", "(62 + 44)" ], [ "(62 + 44)", "(62 + 44)" ], [ "(62 + 44)", "(62 + 44)", "(62 + 44)" ], [ "(62 + 44)", "(62 + 44)" ], [ "(62 + 44)", "(62 + 44)", "(62 + 44)" ], [ "(62 - 44) + 44", "(62 + 44)", "(62 + 44)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(62 - 44)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(62 - 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2223, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 2223, "span_end": 2234, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2438, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 2438, "span_end": 2449, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 961, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 961, "span_end": 972, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1750, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1750, "span_end": 1761, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1966, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1966, "span_end": 1977, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1241, "span_end": 1252, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1456, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1456, "span_end": 1467, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1365, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1365, "span_end": 1376, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1580, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1580, "span_end": 1591, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1353, "span_text": "(62 - 44) + 44", "extraction_type": "internal", "span_start": 1353, "span_end": 1369, "original_span": "(62 - 44) + 44"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2554, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 2554, "span_end": 2565, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2769, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 2769, "span_end": 2780, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1358, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1358, "span_end": 1369, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1573, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1573, "span_end": 1584, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 776, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 776, "span_end": 787, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 991, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 991, "span_end": 1002, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 559, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 559, "span_end": 570, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 819, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 819, "span_end": 830, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2115, "span_text": "(62 * 44) + 62", "extraction_type": "internal", "span_start": 2115, "span_end": 2131, "original_span": "(62 * 44) + 62"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3044, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 3044, "span_end": 3055, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3259, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 3259, "span_end": 3270, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1589, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1589, "span_end": 1600, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1804, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1804, "span_end": 1815, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2884, "span_text": "(62 * 44) / 44", "extraction_type": "internal", "span_start": 2884, "span_end": 2900, "original_span": "(62 * 44) / 44"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3793, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 3793, "span_end": 3804, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4058, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 4058, "span_end": 4069, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 961, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 961, "span_end": 972, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1351, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1351, "span_end": 1362, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1599, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1599, "span_end": 1610, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1699, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1699, "span_end": 1710, "original_span": "(62 + 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1245, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1245, "span_end": 1256, "original_span": "(62 + 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1505, "span_text": "(62 + 44)", "extraction_type": "internal", "span_start": 1505, "span_end": 1516, "original_span": "(62 + 44)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(62 - 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(62 - 44) + 44", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(62 * 44) + 62", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(62 * 44) / 44", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ], "flips_total": 2, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1 ], "reflect_close": [ 3, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 3, 1, 2, 2, 2 ], "reflect_open": [ 3, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 3, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 3, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 3, 1, 2, 2, 2 ], "sample_open": [ 3, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 3, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 19 and 33 exactly once and combine them using basic arithmetic operations to get the target number 627.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 33 * 19 = 627\n\nThis option uses both numbers directly without needing a...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)", "(33 * 19)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1336, "span_end": 1347, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1517, "span_end": 1528, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1539, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1292, "span_end": 1303, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1520, "span_end": 1531, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1525, "span_end": 1536, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1451, "span_end": 1462, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1318, "span_end": 1329, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1521, "span_end": 1532, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1781, "span_end": 1792, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1643, "span_end": 1654, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1525, "span_end": 1536, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1318, "span_end": 1329, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2652, "span_end": 2663, "original_span": "(33 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1395, "span_end": 1406, "original_span": "(33 * 19)"}]
[{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, ...
[ [ "(33 * 19)", "(33 * 19)", "(33 * 19)" ], [ "(19 * 33)", "(33 * 19)", "(33 * 19)" ], [ "(19 * 33)", "(33 * 19)", "(33 * 19)" ], [ "(19 * 33)", "(33 * 19)", "(33 * 19)" ], [ "(33 * 19)", "(33 * 19)", "(33 * 19)" ], [ "(19 * 33)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 424, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 424, "span_end": 435, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1073, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1073, "span_end": 1084, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1336, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1336, "span_end": 1347, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1257, "span_end": 1268, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1517, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1517, "span_end": 1528, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1528, "span_end": 1539, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1032, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1032, "span_end": 1043, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1292, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1292, "span_end": 1303, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1260, "span_end": 1271, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1520, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1520, "span_end": 1531, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1525, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1525, "span_end": 1536, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1236, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1236, "span_end": 1247, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1451, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1451, "span_end": 1462, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1058, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1058, "span_end": 1069, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1306, "span_end": 1317, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 925, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 925, "span_end": 936, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1781, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1781, "span_end": 1792, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 823, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 823, "span_end": 834, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1428, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1428, "span_end": 1439, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1643, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1643, "span_end": 1654, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1525, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1525, "span_end": 1536, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 418, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 418, "span_end": 429, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1103, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1103, "span_end": 1114, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1760, "span_text": "(19 * 33)", "extraction_type": "internal", "span_start": 1760, "span_end": 1771, "original_span": "(19 * 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2392, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 2392, "span_end": 2403, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2652, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 2652, "span_end": 2663, "original_span": "(33 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 455, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 455, "span_end": 466, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1135, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1135, "span_end": 1146, "original_span": "(33 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1395, "span_text": "(33 * 19)", "extraction_type": "internal", "span_start": 1395, "span_end": 1406, "original_span": "(33 * 19)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 33)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "(33 * 19)", "final_answer": 627.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 59 and 82 exactly once and combine them using basic arithmetic operations to get the target number 141.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 82 * 59 = 4878\n\nThis result is much larger than 141, so this option doe...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, false, true, true, true, true, true, true, true ]
[ "(59 + 82)", "(59 + 82)", "(59 + 82)", "(59 + 82)", "(82 + 59)", "(59 + 82)", "(59 + 82)", "(82 + 59)", "(82 - 59) * 6 + 3", "(59 + 82)", "(59 + 82)", "(59 + 82)", "(82 + 59)", "(82 + 59)", "(59 + 82)", "(82 + 59)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 828, "span_end": 839, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 870, "span_end": 881, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1429, "span_end": 1440, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 3267, "span_end": 3278, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1418, "span_end": 1429, "original_span": "(82 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1540, "span_end": 1551, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1558, "span_end": 1569, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(82 + 59)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2556, "span_end": 2575, "original_span": "(82 - 59) * 6 + 3"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 873, "span_end": 884, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1429, "span_end": 1440, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1423, "span_end": 1434, "original_span": "(82 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1639, "span_end": 1650, "original_span": "(82 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1627, "span_end": 1638, "original_span": "(59 + 82)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1361, "span_end": 1372, "original_span": "(82 + 59)"}]
[{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(82 - 59) * 6 + 3", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}]
[ [ true, true ], [ true, true ], [ true, true, true ], [ true, false, false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true...
[ [ "(59 + 82)", "(59 + 82)" ], [ "(59 + 82)", "(59 + 82)" ], [ "(59 + 82)", "(59 + 82)", "(59 + 82)" ], [ "(59 + 82)", "Not Possible", "Not Possible", "(59 + 82)", "(59 + 82)" ], [ "(59 + 82)", "(82 + 59)", "(82 + 59)" ], [ "(59 + 82...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 613, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 613, "span_end": 624, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 828, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 828, "span_end": 839, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 610, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 610, "span_end": 621, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 870, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 870, "span_end": 881, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1214, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1214, "span_end": 1225, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1429, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1429, "span_end": 1440, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2206, "span_text": "Not Possible", "extraction_type": "internal", "span_start": 2206, "span_end": 2220, "original_span": "Not Possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2429, "span_text": "Not Possible", "extraction_type": "internal", "span_start": 2429, "span_end": 2441, "original_span": "Not Possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3052, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 3052, "span_end": 3063, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3267, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 3267, "span_end": 3278, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(82 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1418, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1418, "span_end": 1429, "original_span": "(82 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1291, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1291, "span_end": 1302, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1540, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1540, "span_end": 1551, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1343, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1343, "span_end": 1354, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1558, "span_end": 1569, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(82 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(82 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(82 - 59) + 59", "extraction_type": "internal", "span_start": 1493, "span_end": 1509, "original_span": "(82 - 59) + 59"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2285, "span_text": "(82 - 59) * 6 + 3", "extraction_type": "internal", "span_start": 2285, "span_end": 2304, "original_span": "(82 - 59) * 6 + 3"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2556, "span_text": "(82 - 59) * 6 + 3", "extraction_type": "internal", "span_start": 2556, "span_end": 2575, "original_span": "(82 - 59) * 6 + 3"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 613, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 613, "span_end": 624, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 873, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 873, "span_end": 884, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1214, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1214, "span_end": 1225, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1429, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1429, "span_end": 1440, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1208, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1208, "span_end": 1219, "original_span": "(82 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1423, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1423, "span_end": 1434, "original_span": "(82 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1424, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1424, "span_end": 1435, "original_span": "(82 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1639, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1639, "span_end": 1650, "original_span": "(82 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1412, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1412, "span_end": 1423, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1627, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 1627, "span_end": 1638, "original_span": "(59 + 82)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(59 + 82)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(59 + 82)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1146, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1146, "span_end": 1157, "original_span": "(82 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(82 + 59)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(82 + 59)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(82 - 59) + 59", "final_answer": 141.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(82 - 59) * 6 + 3", "final_answer": 141.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(82 - 59) * 6 + 3", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}], [{"is_correct": true, "error": null, "answer_block": "(59 + 82)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 59)", "final_answer": 141.0}]]
{ "flips_by": [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 2, "num_correct": 15, "pass_at_n": 1, "percent_correct": 0.9375, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], "reflect_close": [ 1, 1, 2, 3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2 ], "reflect_open": [ 1, 1, 2, 3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 2, 3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2 ], "sample_open": [ 1, 1, 2, 3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 16 and 85 exactly once and combine them using basic arithmetic operations to get the target number 101.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 16 + 85 = 101 \\]\n\nThis combi...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(85 + 16)", "(16 + 85)", "(16 + 85)", "(16 + 85)", "(85 + 16)", "(16 + 85)", "(85 + 16)", "(16 + 85)", "(16 + 85)", "(16 + 85)", "(16 + 85)", "(85 + 16)", "(16 + 85)", "(16 + 85)", "(16 + 85)", "(85 + 16)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1351, "span_end": 1362, "original_span": "(85 + 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1563, "span_end": 1574, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1588, "span_end": 1599, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1374, "span_end": 1385, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(85 + 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1399, "span_end": 1410, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1400, "span_end": 1411, "original_span": "(85 + 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1373, "span_end": 1384, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1487, "span_end": 1498, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1620, "span_end": 1631, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(85 + 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1425, "span_end": 1436, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1431, "span_end": 1442, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1625, "span_end": 1636, "original_span": "(16 + 85)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(85 + 16)"}]
[{"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(16 + 85)", "(85 + 16)", "(85 + 16)" ], [ "(16 + 85)", "(16 + 85)", "(16 + 85)" ], [ "(16 + 85)", "(16 + 85)", "(16 + 85)" ], [ "(16 + 85)", "(16 + 85)", "(16 + 85)" ], [ "(16 + 85)", "(85 + 16)", "(85 + 16)" ], [ "(16 + 85)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 457, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 457, "span_end": 468, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1136, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1136, "span_end": 1147, "original_span": "(85 + 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1351, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1351, "span_end": 1362, "original_span": "(85 + 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1348, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1348, "span_end": 1359, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1563, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1563, "span_end": 1574, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1373, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1373, "span_end": 1384, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1588, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1588, "span_end": 1599, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 459, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 459, "span_end": 470, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1159, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1159, "span_end": 1170, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1374, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1374, "span_end": 1385, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1248, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1248, "span_end": 1259, "original_span": "(85 + 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(85 + 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1399, "span_end": 1410, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1185, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1185, "span_end": 1196, "original_span": "(85 + 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1400, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1400, "span_end": 1411, "original_span": "(85 + 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1158, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1158, "span_end": 1169, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1373, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1373, "span_end": 1384, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1272, "span_end": 1283, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1487, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1487, "span_end": 1498, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1405, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1405, "span_end": 1416, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1620, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1620, "span_end": 1631, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(85 + 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(85 + 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1210, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1210, "span_end": 1221, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1425, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1425, "span_end": 1436, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1216, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1216, "span_end": 1227, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1431, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1431, "span_end": 1442, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1365, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1365, "span_end": 1376, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1625, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 1625, "span_end": 1636, "original_span": "(16 + 85)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 457, "span_text": "(16 + 85)", "extraction_type": "internal", "span_start": 457, "span_end": 468, "original_span": "(16 + 85)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1155, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1155, "span_end": 1166, "original_span": "(85 + 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(85 + 16)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(85 + 16)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "(16 + 85)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}, {"is_correct": true, "error": null, "answer_block": "(85 + 16)", "final_answer": 101.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 94 and 38 exactly once and combine them using basic arithmetic operations to get the target number 132.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 94 + 38 = 132 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)", "(94 + 38)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 837, "span_end": 848, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 948, "span_end": 959, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 837, "span_end": 848, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1515, "span_end": 1526, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 893, "span_end": 904, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 861, "span_end": 872, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1498, "span_end": 1509, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 759, "span_end": 770, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 747, "span_end": 758, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1439, "span_end": 1450, "original_span": "(94 + 38)"}]
[{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}]
[ [ true, true, true ], [ true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true ], [ true, true, true ], [ true, ...
[ [ "(94 + 38)", "(94 + 38)", "(94 + 38)" ], [ "(94 + 38)" ], [ "(94 + 38)", "(94 + 38)" ], [ "(94 + 38)", "(94 + 38)", "(94 + 38)" ], [ "(94 + 38)", "(94 + 38)", "(94 + 38)" ], [ "(94 + 38)", "(94 + 38)" ], [ "(94 + 38)", "(94 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 837, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 837, "span_end": 848, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 733, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 733, "span_end": 744, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 948, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 948, "span_end": 959, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 837, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 837, "span_end": 848, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 678, "span_end": 689, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 893, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 893, "span_end": 904, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 861, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 861, "span_end": 872, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1247, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1247, "span_end": 1258, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 544, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 544, "span_end": 555, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 759, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 759, "span_end": 770, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 747, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 747, "span_end": 758, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1224, "span_end": 1235, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(94 + 38)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1 ], "reflect_close": [ 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2 ], "reflect_open": [ 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2 ], "sample_open": [ 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 70 and 83 exactly once and combine them using basic arithmetic operations to get the target number 153.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 70 + 83 = 153 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(70 + 83)", "(70 + 83)", "(70 + 83)", "(70 + 83)", "(70 + 83)", "(83 + 70)", "(70 + 83)", "(83 + 70)", "(83 + 70)", "(83 + 70)", "(83 + 70)", "(70 + 83)", "(83 + 70)", "(83 + 70)", "(70 + 83)", "(70 + 83)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1506, "span_end": 1517, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 754, "span_end": 765, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 707, "span_end": 718, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1542, "span_end": 1553, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 760, "span_end": 771, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1530, "span_end": 1541, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 764, "span_end": 775, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1513, "span_end": 1524, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1472, "span_end": 1483, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1467, "span_end": 1478, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1447, "span_end": 1458, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1441, "span_end": 1452, "original_span": "(83 + 70)"}, {"extraction_type": "final", "total_spans_found": 11, "non_overlapping_spans": 11, "span_start": 1747, "span_end": 1758, "original_span": "(70 + 83)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 707, "span_end": 718, "original_span": "(70 + 83)"}]
[{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}]
[ [ true, true ], [ true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ]...
[ [ "(70 + 83)", "(70 + 83)" ], [ "(70 + 83)" ], [ "(70 + 83)", "(70 + 83)" ], [ "(70 + 83)", "(70 + 83)", "(70 + 83)" ], [ "(70 + 83)", "(70 + 83)" ], [ "(70 + 83)", "(83 + 70)", "(83 + 70)" ], [ "(70 + 83)", "(70 + 83)" ], [ ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1291, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1291, "span_end": 1302, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1506, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1506, "span_end": 1517, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 754, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 754, "span_end": 765, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 707, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 707, "span_end": 718, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1327, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1327, "span_end": 1338, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 760, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 760, "span_end": 771, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1315, "span_end": 1326, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1530, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1530, "span_end": 1541, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 764, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 764, "span_end": 775, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1298, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1298, "span_end": 1309, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1513, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1513, "span_end": 1524, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1224, "span_end": 1235, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1248, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1248, "span_end": 1259, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1257, "span_end": 1268, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1472, "span_end": 1483, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1467, "span_end": 1478, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1232, "span_end": 1243, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1226, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1226, "span_end": 1237, "original_span": "(83 + 70)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(83 + 70)", "extraction_type": "internal", "span_start": 1441, "span_end": 1452, "original_span": "(83 + 70)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 599, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 599, "span_end": 610, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 731, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 731, "span_end": 742, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 863, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 863, "span_end": 874, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 995, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 995, "span_end": 1006, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1127, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1127, "span_end": 1138, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1259, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1259, "span_end": 1270, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1391, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1391, "span_end": 1402, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1523, "span_end": 1534, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1655, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1655, "span_end": 1666, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1747, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1747, "span_end": 1758, "original_span": "(70 + 83)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(70 + 83)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 707, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 707, "span_end": 718, "original_span": "(70 + 83)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(83 + 70)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0 ], "reflect_close": [ 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1 ], "reflect_open": [ 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1 ], "sample_open": [ 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 41 and 93 exactly once and combine them using basic arithmetic operations to get the target number 134.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 41 + 93 = 134 \\]\n\nThis direc...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(41 + 93)", "(93 + 41)", "(41 + 93)", "(93 + 41)", "(41 + 93)", "(93 + 41)", "(93 + 41)", "(41 + 93)", "(41 + 93)", "(41 + 93)", "(41 + 93)", "(41 + 93)", "(41 + 93)", "(41 + 93)", "(93 + 41)", "(41 + 93)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1409, "span_end": 1420, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1551, "span_end": 1562, "original_span": "(93 + 41)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1535, "span_end": 1546, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(93 + 41)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1515, "span_end": 1526, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1565, "span_end": 1576, "original_span": "(93 + 41)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(93 + 41)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1447, "span_end": 1458, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1545, "span_end": 1556, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 839, "span_end": 850, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 888, "span_end": 899, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1573, "span_end": 1584, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1488, "original_span": "(41 + 93)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1579, "span_end": 1590, "original_span": "(93 + 41)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 854, "span_end": 865, "original_span": "(41 + 93)"}]
[{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(41 + 93)", "(41 + 93)" ], [ "(41 + 93)", "(93 + 41)", "(93 + 41)" ], [ "(41 + 93)", "(41 + 93)", "(41 + 93)" ], [ "(41 + 93)", "(93 + 41)", "(93 + 41)" ], [ "(41 + 93)", "(41 + 93)", "(41 + 93)" ], [ "(41 + 93)", "(93 + 41)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1194, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1194, "span_end": 1205, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1409, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1409, "span_end": 1420, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1336, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1336, "span_end": 1347, "original_span": "(93 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1551, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1551, "span_end": 1562, "original_span": "(93 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1535, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1535, "span_end": 1546, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(93 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(93 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1350, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1350, "span_end": 1361, "original_span": "(93 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1565, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1565, "span_end": 1576, "original_span": "(93 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(93 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(93 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1232, "span_end": 1243, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1330, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1330, "span_end": 1341, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1545, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1545, "span_end": 1556, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 580, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 580, "span_end": 591, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 839, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 839, "span_end": 850, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 629, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 629, "span_end": 640, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 888, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 888, "span_end": 899, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1358, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1358, "span_end": 1369, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1573, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1573, "span_end": 1584, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1262, "span_end": 1273, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 1477, "span_end": 1488, "original_span": "(41 + 93)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1364, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1364, "span_end": 1375, "original_span": "(93 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1579, "span_text": "(93 + 41)", "extraction_type": "internal", "span_start": 1579, "span_end": 1590, "original_span": "(93 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 595, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 595, "span_end": 606, "original_span": "(41 + 93)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 854, "span_text": "(41 + 93)", "extraction_type": "internal", "span_start": 854, "span_end": 865, "original_span": "(41 + 93)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 41)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 93)", "final_answer": 134.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 50 and 4 exactly once and combine them using basic arithmetic operations to get the target number 200.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 50 + 4 = 54 \\]\n\nThis result i...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)", "(50 * 4)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1613, "span_end": 1623, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1704, "span_end": 1714, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1465, "span_end": 1475, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 3095, "span_end": 3105, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1506, "span_end": 1516, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1672, "span_end": 1682, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1467, "span_end": 1477, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1534, "span_end": 1544, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1507, "span_end": 1517, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1718, "span_end": 1728, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1756, "span_end": 1766, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1498, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1912, "span_end": 1922, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1510, "span_end": 1520, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1684, "span_end": 1694, "original_span": "(50 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1912, "span_end": 1922, "original_span": "(50 * 4)"}]
[{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}]
[ [ false, true, true ], [ false, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ tr...
[ [ "((50 * 4) + 50) or (4 * (50 + 50))", "(50 * 4)", "(50 * 4)" ], [ "(50 * 4) / 4", "(50 * 4)", "(50 * 4)" ], [ "(50 * 4)", "(50 * 4)", "(50 * 4)" ], [ "Not possible with the given constraints.", "(50 * 4)", "(50 * 4)" ], [ "(50 * 4)", "(50 * 4...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 769, "span_text": "((50 * 4) + 50) or (4 * (50 + 50))", "extraction_type": "internal", "span_start": 769, "span_end": 805, "original_span": "((50 * 4) + 50) or (4 * (50 + 50))"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1399, "span_end": 1409, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1613, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1613, "span_end": 1623, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 876, "span_text": "(50 * 4) / 4", "extraction_type": "internal", "span_start": 876, "span_end": 890, "original_span": "(50 * 4) / 4"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1491, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1491, "span_end": 1501, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1704, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1704, "span_end": 1714, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1252, "span_end": 1262, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1465, "span_end": 1475, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2242, "span_text": "Not possible with the given constraints.", "extraction_type": "internal", "span_start": 2242, "span_end": 2284, "original_span": "Not possible with the given constraints."}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2882, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 2882, "span_end": 2892, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3095, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 3095, "span_end": 3105, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1260, "span_end": 1270, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1506, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1506, "span_end": 1516, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 848, "span_text": "(50 * 4) + 50", "extraction_type": "internal", "span_start": 848, "span_end": 863, "original_span": "(50 * 4) + 50"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1459, "span_end": 1469, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1672, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1672, "span_end": 1682, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 651, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 651, "span_end": 661, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1254, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1254, "span_end": 1264, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1467, "span_end": 1477, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 652, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 652, "span_end": 662, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1243, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1243, "span_end": 1253, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1534, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1534, "span_end": 1544, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1250, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1250, "span_end": 1260, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1507, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1507, "span_end": 1517, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 834, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 834, "span_end": 844, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1432, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1432, "span_end": 1442, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1718, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1718, "span_end": 1728, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 871, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 871, "span_end": 881, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1470, "span_end": 1480, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1756, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1756, "span_end": 1766, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1242, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1242, "span_end": 1252, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1488, "span_end": 1498, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1036, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1036, "span_end": 1046, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1619, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1619, "span_end": 1629, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1912, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1912, "span_end": 1922, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 665, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 665, "span_end": 675, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1510, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1510, "span_end": 1520, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 835, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 835, "span_end": 845, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1427, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1427, "span_end": 1437, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1684, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1684, "span_end": 1694, "original_span": "(50 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1003, "span_text": "(50 * 4) - 4", "extraction_type": "internal", "span_start": 1003, "span_end": 1017, "original_span": "(50 * 4) - 4"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1621, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1621, "span_end": 1631, "original_span": "(50 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1912, "span_text": "(50 * 4)", "extraction_type": "internal", "span_start": 1912, "span_end": 1922, "original_span": "(50 * 4)"}]]
[[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "((50 * 4) + 50) or (4 * (50 + 50))", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(50 * 4) / 4", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not possible with the given constraints.", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(50 * 4) + 50", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(50 * 4) - 4", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 4)", "final_answer": 200.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 15 and 21 exactly once and combine them using basic arithmetic operations to get the target number 315.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 21 * 15 = 315\n\nThis directly gives us the target number using only one ...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)", "(21 * 15)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1233, "span_end": 1244, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1515, "span_end": 1526, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1421, "span_end": 1432, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1328, "span_end": 1339, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1533, "span_end": 1544, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1509, "span_end": 1520, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1465, "span_end": 1476, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1474, "span_end": 1485, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1524, "span_end": 1535, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1514, "span_end": 1525, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1550, "span_end": 1561, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1472, "span_end": 1483, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1461, "span_end": 1472, "original_span": "(21 * 15)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1475, "span_end": 1486, "original_span": "(21 * 15)"}]
[{"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(21 * 15)", "(21 * 15)", "(21 * 15)" ], [ "(15 * 21)", "(21 * 15)", "(21 * 15)" ], [ "(15 * 21)", "(21 * 15)", "(21 * 15)" ], [ "(21 * 15)", "(21 * 15)", "(21 * 15)" ], [ "(21 * 15)", "(21 * 15)", "(21 * 15)" ], [ "(15 * 21)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1018, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1018, "span_end": 1029, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1233, "span_end": 1244, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1248, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1248, "span_end": 1259, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1137, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1137, "span_end": 1148, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1421, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1421, "span_end": 1432, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1044, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1044, "span_end": 1055, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1328, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1328, "span_end": 1339, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1274, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1274, "span_end": 1285, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1261, "span_end": 1272, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1509, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1509, "span_end": 1520, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1250, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1250, "span_end": 1261, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1259, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1259, "span_end": 1270, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1474, "span_end": 1485, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1264, "span_end": 1275, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1524, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1524, "span_end": 1535, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1255, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1255, "span_end": 1266, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1514, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1514, "span_end": 1525, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1297, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1297, "span_end": 1308, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1550, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1550, "span_end": 1561, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1257, "span_end": 1268, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1472, "span_end": 1483, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 624, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 624, "span_end": 635, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1246, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1246, "span_end": 1257, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1461, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1461, "span_end": 1472, "original_span": "(21 * 15)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(15 * 21)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(15 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1260, "span_end": 1271, "original_span": "(21 * 15)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(21 * 15)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(21 * 15)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}], [{"is_correct": true, "error": null, "answer_block": "(15 * 21)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "final_answer": 315.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 15)", "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": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 52 and 65 exactly once and combine them using basic arithmetic operations to get the target number 117.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 52 + 65 = 117 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, false, true, true, true ]
[ "(52 + 65)", "(65 + 52)", "(52 + 65)", "(52 + 65)", "(65 + 52)", "(52 + 65)", "(65 + 52)", "(65 + 52)", "(52 + 65)", "(52 + 65)", "(52 + 65)", "(52 + 65)", "(65 - 52) * 9", "(65 + 52)", "(52 + 65)", "(52 + 65)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1565, "span_end": 1576, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1461, "span_end": 1472, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 829, "span_end": 840, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1581, "span_end": 1592, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 803, "span_end": 814, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1540, "span_end": 1551, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1530, "span_end": 1541, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1482, "span_end": 1493, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1460, "span_end": 1471, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 804, "span_end": 815, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1621, "span_end": 1632, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1548, "span_end": 1563, "original_span": "(65 - 52) * 9"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1467, "span_end": 1478, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1645, "span_end": 1656, "original_span": "(52 + 65)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1653, "span_end": 1664, "original_span": "(52 + 65)"}]
[{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(65 - 52) * 9", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(52 + 65)", "(52 + 65)", "(52 + 65)" ], [ "(65 + 52)", "(65 + 52)" ], [ "(52 + 65)", "(52 + 65)" ], [ "(52 + 65)", "(52 + 65)" ], [ "(52 + 65)", "(65 + 52)", "(65 + 52)" ], [ "(52 + 65)", "(52 + 65)" ], [ "(52 + 65)", "(65 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1350, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1350, "span_end": 1361, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1565, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1565, "span_end": 1576, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1246, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1246, "span_end": 1257, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1461, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1461, "span_end": 1472, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 614, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 614, "span_end": 625, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 829, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 829, "span_end": 840, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1366, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1366, "span_end": 1377, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1581, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1581, "span_end": 1592, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 588, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 588, "span_end": 599, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 803, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 803, "span_end": 814, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1325, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1325, "span_end": 1336, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1540, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1540, "span_end": 1551, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1315, "span_end": 1326, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1530, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1530, "span_end": 1541, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1267, "span_end": 1278, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1482, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1482, "span_end": 1493, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1460, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1460, "span_end": 1471, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 589, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 589, "span_end": 600, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 804, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 804, "span_end": 815, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1406, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1406, "span_end": 1417, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1621, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1621, "span_end": 1632, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1311, "span_text": "(65 - 52) * 9", "extraction_type": "internal", "span_start": 1311, "span_end": 1326, "original_span": "(65 - 52) * 9"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(65 - 52) * 9", "extraction_type": "internal", "span_start": 1548, "span_end": 1563, "original_span": "(65 - 52) * 9"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1467, "span_end": 1478, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1430, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1430, "span_end": 1441, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1645, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1645, "span_end": 1656, "original_span": "(52 + 65)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(52 + 65)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1653, "span_text": "(52 + 65)", "extraction_type": "internal", "span_start": 1653, "span_end": 1664, "original_span": "(52 + 65)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(65 - 52) * 9", "final_answer": 117.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(65 - 52) * 9", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 65)", "final_answer": 117.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], "flips_total": 1, "num_correct": 15, "pass_at_n": 1, "percent_correct": 0.9375, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 80 and 96 exactly once and combine them using basic arithmetic operations to get the target number 176.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 80 + 96 = 176 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(80 + 96)", "(80 + 96)", "(96 + 80)", "(80 + 96)", "(80 + 96)", "(96 + 80)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)", "(80 + 96)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 771, "span_end": 782, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1491, "span_end": 1502, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(96 + 80)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1693, "span_end": 1704, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1536, "span_end": 1547, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1495, "span_end": 1506, "original_span": "(96 + 80)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 940, "span_end": 951, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1499, "span_end": 1510, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1748, "span_end": 1759, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1487, "span_end": 1498, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1571, "span_end": 1582, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 754, "span_end": 765, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 765, "span_end": 776, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(80 + 96)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 944, "span_end": 955, "original_span": "(80 + 96)"}]
[{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, ...
[ [ "(80 + 96)", "(80 + 96)" ], [ "(80 + 96)", "(80 + 96)", "(80 + 96)" ], [ "(80 + 96)", "(96 + 80)", "(96 + 80)" ], [ "(80 + 96)", "(80 + 96)" ], [ "(80 + 96)", "(80 + 96)", "(80 + 96)" ], [ "(80 + 96)", "(96 + 80)", "(96 + 80)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 771, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 771, "span_end": 782, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1276, "span_end": 1287, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1491, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1491, "span_end": 1502, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(96 + 80)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(96 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(96 + 80)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(96 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1434, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1434, "span_end": 1445, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1693, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1693, "span_end": 1704, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1321, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1321, "span_end": 1332, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1536, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1536, "span_end": 1547, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(96 + 80)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(96 + 80)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(96 + 80)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(96 + 80)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 725, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 725, "span_end": 736, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 940, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 940, "span_end": 951, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1499, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1499, "span_end": 1510, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1748, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1748, "span_end": 1759, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1272, "span_end": 1283, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1487, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1487, "span_end": 1498, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1356, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1356, "span_end": 1367, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1571, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1571, "span_end": 1582, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 754, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 754, "span_end": 765, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 765, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 765, "span_end": 776, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(80 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 729, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 729, "span_end": 740, "original_span": "(80 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 944, "span_text": "(80 + 96)", "extraction_type": "internal", "span_start": 944, "span_end": 955, "original_span": "(80 + 96)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(80 + 96)", "final_answer": 176.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0 ], "reflect_close": [ 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1 ], "reflect_open": [ 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1 ], "sample_open": [ 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 98 and 71 exactly once and combine them using basic arithmetic operations to get the target number 169.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 98 + 71 = 169 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)", "(98 + 71)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1776, "span_end": 1787, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1693, "span_end": 1704, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1678, "span_end": 1689, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1456, "span_end": 1467, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1719, "span_end": 1730, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1537, "span_end": 1548, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1827, "span_end": 1838, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1737, "span_end": 1748, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1504, "span_end": 1515, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1482, "span_end": 1493, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1511, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1515, "span_end": 1526, "original_span": "(98 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(98 + 71)"}]
[{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, ...
[ [ "(98 + 71)", "(98 + 71)" ], [ "(98 + 71)", "(98 + 71)", "(98 + 71)" ], [ "(98 + 71)", "(98 + 71)", "(98 + 71)" ], [ "(98 + 71)", "(98 + 71)", "(98 + 71)" ], [ "(98 + 71)", "(98 + 71)", "(98 + 71)" ], [ "(98 + 71)", "(98 + 71)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1561, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1561, "span_end": 1572, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1776, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1776, "span_end": 1787, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1478, "span_end": 1489, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1693, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1693, "span_end": 1704, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1678, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1678, "span_end": 1689, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1241, "span_end": 1252, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1456, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1456, "span_end": 1467, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1504, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1504, "span_end": 1515, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1719, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1719, "span_end": 1730, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1537, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1537, "span_end": 1548, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1612, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1612, "span_end": 1623, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1827, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1827, "span_end": 1838, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1522, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1522, "span_end": 1533, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1737, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1737, "span_end": 1748, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1504, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1504, "span_end": 1515, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1267, "span_end": 1278, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1482, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1482, "span_end": 1493, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1285, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1285, "span_end": 1296, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(98 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(98 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(98 + 71)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(98 + 71)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}], [{"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}, {"is_correct": true, "error": null, "answer_block": "(98 + 71)", "final_answer": 169.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "reflect_open": [ 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "sample_open": [ 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 38 and 94 exactly once and combine them using basic arithmetic operations to get the target number 132.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 38 + 94 = 132 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(38 + 94)", "(38 + 94)", "(38 + 94)", "(94 + 38)", "(94 + 38)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)", "(38 + 94)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1289, "span_end": 1300, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 626, "span_end": 637, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1354, "span_end": 1365, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1367, "span_end": 1378, "original_span": "(94 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1366, "span_end": 1377, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2384, "span_end": 2395, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1391, "span_end": 1402, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1321, "span_end": 1332, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1393, "span_end": 1404, "original_span": "(38 + 94)"}]
[{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}]
[ [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ]...
[ [ "(38 + 94)", "(38 + 94)" ], [ "(38 + 94)", "(38 + 94)", "(38 + 94)" ], [ "(38 + 94)", "(38 + 94)" ], [ "(38 + 94)", "(94 + 38)", "(94 + 38)" ], [ "(38 + 94)", "(94 + 38)", "(94 + 38)" ], [ "(38 + 94)", "(38 + 94)" ], [ "(38 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1074, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1074, "span_end": 1085, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 411, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 411, "span_end": 422, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 626, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 626, "span_end": 637, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1139, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1139, "span_end": 1150, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1354, "span_end": 1365, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 384, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 384, "span_end": 395, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1152, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1152, "span_end": 1163, "original_span": "(94 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1367, "span_text": "(94 + 38)", "extraction_type": "internal", "span_start": 1367, "span_end": 1378, "original_span": "(94 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1151, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1151, "span_end": 1162, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1366, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1366, "span_end": 1377, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 458, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 458, "span_end": 469, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1192, "span_text": "(38 * 94) / 38", "extraction_type": "internal", "span_start": 1192, "span_end": 1208, "original_span": "(38 * 94) / 38"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2169, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 2169, "span_end": 2180, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2384, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 2384, "span_end": 2395, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1176, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1176, "span_end": 1187, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1391, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1391, "span_end": 1402, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1106, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1106, "span_end": 1117, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1321, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1321, "span_end": 1332, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1178, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1178, "span_end": 1189, "original_span": "(38 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1393, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1393, "span_end": 1404, "original_span": "(38 + 94)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 38)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(38 * 94) / 38", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1 ], "reflect_close": [ 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2 ], "reflect_open": [ 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2 ], "sample_open": [ 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 4 and 99 exactly once and combine them using basic arithmetic operations to get the target number 103.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding 99 and 4.\n\\[ 99 + 4 = 103 \\]\n\nThis equation uses both numb...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(4 + 99)", "(4 + 99)", "(4 + 99)", "(99 + 4)", "(99 + 4)", "(4 + 99)", "(99 + 4)", "(4 + 99)", "(99 + 4)", "(99 + 4)", "(4 + 99)", "(4 + 99)", "(99 + 4)", "(4 + 99)", "(99 + 4)", "(99 + 4)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1331, "span_end": 1341, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1305, "span_end": 1315, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1272, "span_end": 1282, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1323, "span_end": 1333, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 679, "span_end": 689, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1263, "span_end": 1273, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 11, "non_overlapping_spans": 11, "span_start": 1723, "span_end": 1733, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1381, "span_end": 1391, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 1887, "span_end": 1897, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1427, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1277, "span_end": 1287, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1272, "span_end": 1282, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 792, "span_end": 802, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1272, "span_end": 1282, "original_span": "(4 + 99)"}, {"extraction_type": "final", "total_spans_found": 13, "non_overlapping_spans": 13, "span_start": 1974, "span_end": 1984, "original_span": "(99 + 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1377, "span_end": 1387, "original_span": "(99 + 4)"}]
[{"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true, true, true, true, true, true, true, tr...
[ [ "(99 + 4)", "(4 + 99)", "(4 + 99)" ], [ "(99 + 4)", "(4 + 99)", "(4 + 99)" ], [ "(99 + 4)", "(4 + 99)", "(4 + 99)" ], [ "(99 + 4)", "(99 + 4)", "(99 + 4)" ], [ "(99 + 4)", "(99 + 4)" ], [ "(99 + 4)", "(4 + 99)", "(4 + 99)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1118, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1118, "span_end": 1128, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1331, "span_end": 1341, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1092, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1092, "span_end": 1102, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1305, "span_end": 1315, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 438, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 438, "span_end": 448, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1059, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1059, "span_end": 1069, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1272, "span_end": 1282, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 438, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 438, "span_end": 448, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1110, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1110, "span_end": 1120, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1323, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1323, "span_end": 1333, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 440, "span_end": 450, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 679, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 679, "span_end": 689, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1050, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1050, "span_end": 1060, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1263, "span_end": 1273, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 443, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 443, "span_end": 453, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 592, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 592, "span_end": 602, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 722, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 722, "span_end": 732, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 852, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 852, "span_end": 862, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 982, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 982, "span_end": 992, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1112, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1112, "span_end": 1122, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1242, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1242, "span_end": 1252, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1372, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1372, "span_end": 1382, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1502, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1502, "span_end": 1512, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1632, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1632, "span_end": 1642, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1723, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1723, "span_end": 1733, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 434, "span_end": 444, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1124, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1124, "span_end": 1134, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1381, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1381, "span_end": 1391, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 443, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 443, "span_end": 453, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 592, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 592, "span_end": 602, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 722, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 722, "span_end": 732, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1629, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1629, "span_end": 1639, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1887, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1887, "span_end": 1897, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1204, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1204, "span_end": 1214, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1417, "span_end": 1427, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 438, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 438, "span_end": 448, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1064, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1064, "span_end": 1074, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1277, "span_end": 1287, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 438, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 438, "span_end": 448, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1059, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1059, "span_end": 1069, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1272, "span_end": 1282, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 440, "span_end": 450, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 582, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 582, "span_end": 592, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 792, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 792, "span_end": 802, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 438, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 438, "span_end": 448, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1059, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1059, "span_end": 1069, "original_span": "(4 + 99)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(4 + 99)", "extraction_type": "internal", "span_start": 1272, "span_end": 1282, "original_span": "(4 + 99)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 434, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 434, "span_end": 444, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 583, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 583, "span_end": 593, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 713, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 713, "span_end": 723, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 843, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 843, "span_end": 853, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 973, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 973, "span_end": 983, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1103, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1103, "span_end": 1113, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1233, "span_end": 1243, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1363, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1363, "span_end": 1373, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1493, "span_end": 1503, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1623, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1623, "span_end": 1633, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1753, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1753, "span_end": 1763, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1883, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1883, "span_end": 1893, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1974, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1974, "span_end": 1984, "original_span": "(99 + 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 429, "span_end": 439, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1119, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1119, "span_end": 1129, "original_span": "(99 + 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1377, "span_text": "(99 + 4)", "extraction_type": "internal", "span_start": 1377, "span_end": 1387, "original_span": "(99 + 4)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(4 + 99)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(99 + 4)", "final_answer": 103.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "reflect_open": [ 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "sample_open": [ 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 74 and 32 exactly once and combine them using basic arithmetic operations to get the target number 106.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 74 + 32 = 106 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)", "(74 + 32)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1459, "span_end": 1470, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 965, "span_end": 976, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1544, "span_end": 1555, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1478, "span_end": 1489, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1447, "span_end": 1458, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1673, "span_end": 1684, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1834, "span_end": 1845, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2992, "span_end": 3003, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1636, "span_end": 1647, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1612, "span_end": 1623, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 771, "span_end": 782, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1494, "span_end": 1505, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1495, "span_end": 1506, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1592, "span_end": 1603, "original_span": "(74 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1720, "span_end": 1731, "original_span": "(74 + 32)"}]
[{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, false, true, true ], [ true, ...
[ [ "(74 + 32)", "(74 + 32)", "(74 + 32)" ], [ "(74 + 32)", "(74 + 32)" ], [ "(74 + 32)", "(74 + 32)", "(74 + 32)" ], [ "(74 + 32)", "(74 + 32)" ], [ "(74 + 32)", "(74 + 32)" ], [ "(74 + 32)", "(74 + 32)", "(74 + 32)" ], [ "(74 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1459, "span_end": 1470, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 705, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 705, "span_end": 716, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 965, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 965, "span_end": 976, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1329, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1329, "span_end": 1340, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1544, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1544, "span_end": 1555, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1263, "span_end": 1274, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1478, "span_end": 1489, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1198, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1198, "span_end": 1209, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1458, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1458, "span_end": 1469, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1673, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1673, "span_end": 1684, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1619, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1619, "span_end": 1630, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1834, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1834, "span_end": 1845, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1994, "span_text": "(32 * 74)", "extraction_type": "internal", "span_start": 1994, "span_end": 2005, "original_span": "(32 * 74)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2777, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 2777, "span_end": 2788, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2992, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 2992, "span_end": 3003, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1421, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1421, "span_end": 1432, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1636, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1636, "span_end": 1647, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1397, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1397, "span_end": 1408, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1612, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1612, "span_end": 1623, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 771, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 771, "span_end": 782, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1377, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1377, "span_end": 1388, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1592, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1592, "span_end": 1603, "original_span": "(74 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1505, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1505, "span_end": 1516, "original_span": "(74 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1720, "span_text": "(74 + 32)", "extraction_type": "internal", "span_start": 1720, "span_end": 1731, "original_span": "(74 + 32)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(32 * 74)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2 ], "reflect_open": [ 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2 ], "sample_open": [ 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 51 and 8 exactly once and combine them using basic arithmetic operations to get the target number 408.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 51 * 8 = 408\n\nThis option uses both numbers exactly once and gives us th...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)", "(51 * 8)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1192, "span_end": 1202, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1513, "span_end": 1523, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1315, "span_end": 1325, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1350, "span_end": 1360, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1326, "span_end": 1336, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1469, "span_end": 1479, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1493, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1199, "span_end": 1209, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1512, "span_end": 1522, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1497, "span_end": 1507, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1233, "span_end": 1243, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1470, "span_end": 1480, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 728, "span_end": 738, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1519, "span_end": 1529, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 666, "span_end": 676, "original_span": "(51 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1541, "span_end": 1551, "original_span": "(51 * 8)"}]
[{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(51 * 8)", "(51 * 8)", "(51 * 8)" ], [ "(51 * 8)", "(51 * 8)", "(51 * 8)" ], [ "(51 * 8)", "(51 * 8)", "(51 * 8)" ], [ "(51 * 8)", "(51 * 8)", "(51 * 8)" ], [ "(51 * 8)", "(51 * 8)", "(51 * 8)" ], [ "(51 * 8)", "(51 * 8)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 426, "span_end": 436, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 979, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 979, "span_end": 989, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1192, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1192, "span_end": 1202, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1262, "span_end": 1272, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1513, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1513, "span_end": 1523, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 471, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 471, "span_end": 481, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1102, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1102, "span_end": 1112, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1315, "span_end": 1325, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 470, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 470, "span_end": 480, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1093, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1093, "span_end": 1103, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1350, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1350, "span_end": 1360, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 426, "span_end": 436, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1068, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1068, "span_end": 1078, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1326, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1326, "span_end": 1336, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1256, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1256, "span_end": 1266, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1469, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1469, "span_end": 1479, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1270, "span_end": 1280, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1483, "span_end": 1493, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 385, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 385, "span_end": 395, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 986, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 986, "span_end": 996, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1199, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1199, "span_end": 1209, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1262, "span_end": 1272, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1512, "span_end": 1522, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1284, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1284, "span_end": 1294, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1497, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1497, "span_end": 1507, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 385, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 385, "span_end": 395, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 975, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 975, "span_end": 985, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1233, "span_end": 1243, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 661, "span_end": 671, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1257, "span_end": 1267, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1470, "span_end": 1480, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 471, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 471, "span_end": 481, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 728, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 728, "span_end": 738, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 670, "span_end": 680, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1261, "span_end": 1271, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1519, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1519, "span_end": 1529, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 666, "span_end": 676, "original_span": "(51 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 670, "span_end": 680, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1260, "span_end": 1270, "original_span": "(51 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1541, "span_text": "(51 * 8)", "extraction_type": "internal", "span_start": 1541, "span_end": 1551, "original_span": "(51 * 8)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}], [{"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}, {"is_correct": true, "error": null, "answer_block": "(51 * 8)", "final_answer": 408.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 63 and 94 exactly once and combine them using basic arithmetic operations to get the target number 157.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 63 + 94 = 157 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(94 + 63)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)", "(63 + 94)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1548, "span_end": 1559, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 847, "span_end": 858, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1560, "span_end": 1571, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 876, "span_end": 887, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1827, "span_end": 1838, "original_span": "(94 + 63)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1473, "span_end": 1484, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1508, "span_end": 1519, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1859, "span_end": 1870, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1564, "span_end": 1575, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1547, "span_end": 1558, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1760, "span_end": 1771, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 764, "span_end": 775, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(63 + 94)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 699, "span_end": 710, "original_span": "(63 + 94)"}]
[{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 63)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ false, true, true ], [ true, true, true ], [ true ], [ true, true, true ], [ true, ...
[ [ "(63 + 94)", "(63 + 94)", "(63 + 94)" ], [ "(63 + 94)", "(63 + 94)", "(63 + 94)" ], [ "(63 + 94)", "(63 + 94)" ], [ "(63 + 94)", "(63 + 94)", "(63 + 94)" ], [ "(63 + 94)", "(63 + 94)" ], [ "(94 - 63) + 63", "(94 + 63)", "(94 + 63)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1333, "span_end": 1344, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1226, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1226, "span_end": 1237, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 588, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 588, "span_end": 599, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 847, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 847, "span_end": 858, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1345, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1345, "span_end": 1356, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1560, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1560, "span_end": 1571, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 617, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 617, "span_end": 628, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 876, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 876, "span_end": 887, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 593, "span_text": "(94 - 63) + 63", "extraction_type": "internal", "span_start": 593, "span_end": 609, "original_span": "(94 - 63) + 63"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1612, "span_text": "(94 + 63)", "extraction_type": "internal", "span_start": 1612, "span_end": 1623, "original_span": "(94 + 63)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1827, "span_text": "(94 + 63)", "extraction_type": "internal", "span_start": 1827, "span_end": 1838, "original_span": "(94 + 63)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1213, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1213, "span_end": 1224, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1473, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1473, "span_end": 1484, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 440, "span_end": 451, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1248, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1248, "span_end": 1259, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1508, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1508, "span_end": 1519, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1644, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1644, "span_end": 1655, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1859, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1859, "span_end": 1870, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1332, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1332, "span_end": 1343, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1547, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1547, "span_end": 1558, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1760, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 1760, "span_end": 1771, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 764, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 764, "span_end": 775, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(63 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 440, "span_end": 451, "original_span": "(63 + 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 699, "span_text": "(63 + 94)", "extraction_type": "internal", "span_start": 699, "span_end": 710, "original_span": "(63 + 94)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(94 - 63) + 63", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 63)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(94 + 63)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}], [{"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "(63 + 94)", "final_answer": 157.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0 ], "reflect_close": [ 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1 ], "reflect_open": [ 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1 ], "sample_open": [ 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 47 and 78 exactly once and combine them using basic arithmetic operations to get the target number 125.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 47 + 78 = 125 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(47 + 78)", "(78 + 47)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)", "(47 + 78)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1711, "span_end": 1722, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1449, "span_end": 1460, "original_span": "(78 + 47)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1407, "span_end": 1418, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1430, "span_end": 1441, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1518, "span_end": 1529, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1607, "span_end": 1618, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2594, "span_end": 2605, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1641, "span_end": 1652, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1569, "span_end": 1580, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1431, "span_end": 1442, "original_span": "(47 + 78)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1594, "span_end": 1605, "original_span": "(47 + 78)"}]
[{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 47)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ]...
[ [ "(47 + 78)", "(47 + 78)" ], [ "(47 + 78)", "(78 + 47)", "(78 + 47)" ], [ "(47 + 78)", "(47 + 78)", "(47 + 78)" ], [ "(47 + 78)", "(47 + 78)", "(47 + 78)" ], [ "(47 + 78)" ], [ "(47 + 78)", "(47 + 78)" ], [ "(47 + 78)", "(47 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1496, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1496, "span_end": 1507, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1711, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1711, "span_end": 1722, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(78 + 47)", "extraction_type": "internal", "span_start": 1234, "span_end": 1245, "original_span": "(78 + 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1449, "span_text": "(78 + 47)", "extraction_type": "internal", "span_start": 1449, "span_end": 1460, "original_span": "(78 + 47)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1192, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1192, "span_end": 1203, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1407, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1407, "span_end": 1418, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1171, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1171, "span_end": 1182, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1430, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1430, "span_end": 1441, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1303, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1303, "span_end": 1314, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1518, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1518, "span_end": 1529, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1392, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1392, "span_end": 1403, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1607, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1607, "span_end": 1618, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(78 - 47)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(78 - 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2334, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 2334, "span_end": 2345, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2594, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 2594, "span_end": 2605, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1426, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1426, "span_end": 1437, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1641, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1641, "span_end": 1652, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1354, "span_end": 1365, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1569, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1569, "span_end": 1580, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1216, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1216, "span_end": 1227, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1431, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1431, "span_end": 1442, "original_span": "(47 + 78)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1379, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1379, "span_end": 1390, "original_span": "(47 + 78)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1594, "span_text": "(47 + 78)", "extraction_type": "internal", "span_start": 1594, "span_end": 1605, "original_span": "(47 + 78)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 47)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 47)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(78 - 47)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 78)", "final_answer": 125.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 4 and 98 exactly once and combine them using basic arithmetic operations to get the target number 392.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding 98 and 4.\n\\[ 98 + 4 = 102 \\]\n\nThis result is not close to ...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)", "(98 * 4)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1436, "span_end": 1446, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1451, "span_end": 1461, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1445, "span_end": 1455, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1437, "span_end": 1447, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1436, "span_end": 1446, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1326, "span_end": 1336, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1436, "span_end": 1446, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1422, "span_end": 1432, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1441, "span_end": 1451, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 727, "span_end": 737, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1442, "span_end": 1452, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1435, "span_end": 1445, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1437, "span_end": 1447, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1456, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1422, "span_end": 1432, "original_span": "(98 * 4)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1290, "span_end": 1300, "original_span": "(98 * 4)"}]
[{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(4 * 98)", "(98 * 4)", "(98 * 4)" ], [ "(4 * 98)", "(98 * 4)", "(98 * 4)" ], [ "(98 * 4)", "(98 * 4)", "(98 * 4)" ], [ "(4 * 98)", "(98 * 4)", "(98 * 4)" ], [ "(4 * 98)", "(98 * 4)", "(98 * 4)" ], [ "(98 * 4)", "(98 * 4)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1223, "span_end": 1233, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1436, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1436, "span_end": 1446, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1238, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1238, "span_end": 1248, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1451, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1451, "span_end": 1461, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1232, "span_end": 1242, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1445, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1445, "span_end": 1455, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1224, "span_end": 1234, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1437, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1437, "span_end": 1447, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1223, "span_end": 1233, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1436, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1436, "span_end": 1446, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 471, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 471, "span_end": 481, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1113, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1113, "span_end": 1123, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1326, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1326, "span_end": 1336, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1223, "span_end": 1233, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1436, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1436, "span_end": 1446, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1209, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1209, "span_end": 1219, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1422, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1422, "span_end": 1432, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1228, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1228, "span_end": 1238, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1441, "span_end": 1451, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 470, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 470, "span_end": 480, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 727, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 727, "span_end": 737, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1229, "span_end": 1239, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1442, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1442, "span_end": 1452, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1222, "span_end": 1232, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1435, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1435, "span_end": 1445, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1224, "span_end": 1234, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1437, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1437, "span_end": 1447, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1233, "span_end": 1243, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1446, "span_end": 1456, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 633, "span_text": "(4 * 98)", "extraction_type": "internal", "span_start": 633, "span_end": 643, "original_span": "(4 * 98)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1209, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1209, "span_end": 1219, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1422, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1422, "span_end": 1432, "original_span": "(98 * 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 426, "span_end": 436, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1077, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1077, "span_end": 1087, "original_span": "(98 * 4)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1290, "span_text": "(98 * 4)", "extraction_type": "internal", "span_start": 1290, "span_end": 1300, "original_span": "(98 * 4)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(4 * 98)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}], [{"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}, {"is_correct": true, "error": null, "answer_block": "(98 * 4)", "final_answer": 392.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 90 and 39 exactly once and combine them using basic arithmetic operations to get the target number 129.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 90 + 39 = 129 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)", "(90 + 39)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1555, "span_end": 1566, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1435, "span_end": 1446, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1552, "span_end": 1563, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1571, "span_end": 1582, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1572, "span_end": 1583, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1466, "span_end": 1477, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1437, "span_end": 1448, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1539, "span_end": 1550, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1556, "span_end": 1567, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1600, "span_end": 1611, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1469, "span_end": 1480, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1559, "span_end": 1570, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1565, "span_end": 1576, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1649, "span_end": 1660, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1539, "original_span": "(90 + 39)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1507, "span_end": 1518, "original_span": "(90 + 39)"}]
[{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(90 + 39)", "(90 + 39)", "(90 + 39)" ], [ "(90 + 39)", "(90 + 39)", "(90 + 39)" ], [ "(90 + 39)", "(90 + 39)", "(90 + 39)" ], [ "(90 + 39)", "(90 + 39)", "(90 + 39)" ], [ "(90 + 39)", "(90 + 39)", "(90 + 39)" ], [ "(90 + 39)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1340, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1340, "span_end": 1351, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1555, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1555, "span_end": 1566, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1220, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1220, "span_end": 1231, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1435, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1435, "span_end": 1446, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1293, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1293, "span_end": 1304, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1552, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1552, "span_end": 1563, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1312, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1312, "span_end": 1323, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1571, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1571, "span_end": 1582, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1313, "span_end": 1324, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1572, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1572, "span_end": 1583, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1212, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1212, "span_end": 1223, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1466, "span_end": 1477, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1222, "span_end": 1233, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1437, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1437, "span_end": 1448, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1324, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1324, "span_end": 1335, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1539, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1539, "span_end": 1550, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1341, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1341, "span_end": 1352, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1556, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1556, "span_end": 1567, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1341, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1341, "span_end": 1352, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1600, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1600, "span_end": 1611, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1220, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1220, "span_end": 1231, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1469, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1469, "span_end": 1480, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1311, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1311, "span_end": 1322, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1559, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1559, "span_end": 1570, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1565, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1565, "span_end": 1576, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1434, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1434, "span_end": 1445, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1649, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1649, "span_end": 1660, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1313, "span_end": 1324, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1528, "span_end": 1539, "original_span": "(90 + 39)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1292, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1292, "span_end": 1303, "original_span": "(90 + 39)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1507, "span_text": "(90 + 39)", "extraction_type": "internal", "span_start": 1507, "span_end": 1518, "original_span": "(90 + 39)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(90 + 39)", "final_answer": 129.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 74 and 60 exactly once and combine them using basic arithmetic operations to get the target number 134.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 74 + 60 = 134 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)", "(74 + 60)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1568, "span_end": 1579, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1627, "span_end": 1638, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 824, "span_end": 835, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1557, "span_end": 1568, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1589, "span_end": 1600, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1512, "span_end": 1523, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1611, "span_end": 1622, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1524, "span_end": 1535, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 863, "span_end": 874, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1652, "span_end": 1663, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 821, "span_end": 832, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1642, "span_end": 1653, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1576, "span_end": 1587, "original_span": "(74 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1503, "span_end": 1514, "original_span": "(74 + 60)"}]
[{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(74 + 60)", "(74 + 60)", "(74 + 60)" ], [ "(74 + 60)", "(74 + 60)", "(74 + 60)" ], [ "(74 + 60)", "(74 + 60)" ], [ "(74 + 60)", "(74 + 60)", "(74 + 60)" ], [ "(74 + 60)", "(74 + 60)", "(74 + 60)" ], [ "(74 + 60)", "(74 + 60)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1308, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1308, "span_end": 1319, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1568, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1568, "span_end": 1579, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1412, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1412, "span_end": 1423, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1627, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1627, "span_end": 1638, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 565, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 565, "span_end": 576, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 824, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 824, "span_end": 835, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1342, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1342, "span_end": 1353, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1557, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1557, "span_end": 1568, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1330, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1330, "span_end": 1341, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1589, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1589, "span_end": 1600, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1297, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1297, "span_end": 1308, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1356, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1356, "span_end": 1367, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1611, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1611, "span_end": 1622, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1309, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1309, "span_end": 1320, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1524, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1524, "span_end": 1535, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 648, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 648, "span_end": 659, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 863, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 863, "span_end": 874, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1393, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1393, "span_end": 1404, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1652, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1652, "span_end": 1663, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 561, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 561, "span_end": 572, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 821, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 821, "span_end": 832, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1427, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1427, "span_end": 1438, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1642, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1642, "span_end": 1653, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1576, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1576, "span_end": 1587, "original_span": "(74 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(74 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(74 + 60)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(74 + 60)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1 ], "reflect_close": [ 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "reflect_open": [ 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "sample_open": [ 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 47 and 14 exactly once and combine them using basic arithmetic operations to get the target number 658.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 47 * 14 = 638\n- This does not equal 658.\n\n**Option 2:**\n- Step 1: 47 ...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "(47 * 14) - 14", "(47 + 14) * 14", "(47 + 14) * (47 - 14)", "(47 * 14) - 14", "(47 + 14) * 14", "(47 - 14) * 14", "(47 + 14) * 14", "(14 * 47) - 14", "(47 * 14) / 14", "(47 * 14) / 14", "(47 * 14) - 14", "(47 - 14) * 47", "(47 + 14) * 14", "(47 - 14) + 14 * 47", "(47 * 14) + 47", "(47...
[{"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 9185, "span_end": 9201, "original_span": "(47 * 14) - 14"}, {"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 8740, "span_end": 8756, "original_span": "(47 + 14) * 14"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 10480, "span_end": 10503, "original_span": "(47 + 14) * (47 - 14)"}, {"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 9795, "span_end": 9811, "original_span": "(47 * 14) - 14"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 10553, "span_end": 10569, "original_span": "(47 + 14) * 14"}, {"extraction_type": "final", "total_spans_found": 8, "non_overlapping_spans": 8, "span_start": 9183, "span_end": 9199, "original_span": "(47 - 14) * 14"}, {"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 9442, "span_end": 9458, "original_span": "(47 + 14) * 14"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 10484, "span_end": 10500, "original_span": "(14 * 47) - 14"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 10712, "span_end": 10728, "original_span": "(47 * 14) / 14"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 9749, "span_end": 9765, "original_span": "(47 * 14) / 14"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 8685, "span_end": 8701, "original_span": "(47 * 14) - 14"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 10023, "span_end": 10039, "original_span": "(47 - 14) * 47"}, {"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 9027, "span_end": 9043, "original_span": "(47 + 14) * 14"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 10403, "span_end": 10424, "original_span": "(47 - 14) + 14 * 47"}, {"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 9359, "span_end": 9375, "original_span": "(47 * 14) + 47"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 9706, "span_end": 9722, "original_span": "(47 * 14) + 10"}]
[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * (47 - 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) / 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) / 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 47", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) + 14 * 47", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 47", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 10", "final_answer": 658.0}]
[ [ false, false, false, false, false ], [ false, false, false, false, false, false, false ], [ false, false, false, false, false ], [ false, true, false, false, false, false, false ], [ false, fals...
[ [ "Not Possible", "(47 - 14) * 14", "(14 * 47) + 6", "(47 * 14) - 14", "(47 * 14) - 14" ], [ "No valid solution found.", "(47 + 14) * 14", "(47 + 14) * 14", "(47 * 14) - 14 + 47", "(47 + 14) * 14", "(47 * 14) - 14", "(47 + 14) * 14" ], [ "(47 * 14) + 14", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2253, "span_text": "Not Possible", "extraction_type": "internal", "span_start": 2253, "span_end": 2267, "original_span": "Not Possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3404, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 3404, "span_end": 3420, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4608, "span_text": "(14 * 47) + 6", "extraction_type": "internal", "span_start": 4608, "span_end": 4623, "original_span": "(14 * 47) + 6"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6501, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 6501, "span_end": 6517, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9185, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 9185, "span_end": 9201, "original_span": "(47 * 14) - 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1569, "span_text": "No valid solution found.", "extraction_type": "internal", "span_start": 1569, "span_end": 1595, "original_span": "No valid solution found."}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2951, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 2951, "span_end": 2967, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4014, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 4014, "span_end": 4030, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4546, "span_text": "(47 * 14) - 14 + 47", "extraction_type": "internal", "span_start": 4546, "span_end": 4567, "original_span": "(47 * 14) - 14 + 47"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5462, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 5462, "span_end": 5478, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6866, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 6866, "span_end": 6882, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8740, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 8740, "span_end": 8756, "original_span": "(47 + 14) * 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1700, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 1700, "span_end": 1716, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2924, "span_text": "(14 * 47) + 14", "extraction_type": "internal", "span_start": 2924, "span_end": 2940, "original_span": "(14 * 47) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4970, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 4970, "span_end": 4986, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7979, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 7979, "span_end": 7995, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 10480, "span_text": "(47 + 14) * (47 - 14)", "extraction_type": "internal", "span_start": 10480, "span_end": 10503, "original_span": "(47 + 14) * (47 - 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1699, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 1699, "span_end": 1715, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2826, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 2826, "span_end": 2837, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4184, "span_text": "(14 * 47) - 14", "extraction_type": "internal", "span_start": 4184, "span_end": 4200, "original_span": "(14 * 47) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5249, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 5249, "span_end": 5265, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6371, "span_text": "(47 * 14) - 638", "extraction_type": "internal", "span_start": 6371, "span_end": 6388, "original_span": "(47 * 14) - 638"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7880, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 7880, "span_end": 7896, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9795, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 9795, "span_end": 9811, "original_span": "(47 * 14) - 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2777, "span_text": "(14 * 47) - 0", "extraction_type": "internal", "span_start": 2777, "span_end": 2792, "original_span": "(14 * 47) - 0"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4244, "span_text": "(47 * 14) / 14", "extraction_type": "internal", "span_start": 4244, "span_end": 4260, "original_span": "(47 * 14) / 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7377, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 7377, "span_end": 7393, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9351, "span_text": "(14 + 47) * 14", "extraction_type": "internal", "span_start": 9351, "span_end": 9367, "original_span": "(14 + 47) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 10553, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 10553, "span_end": 10569, "original_span": "(47 + 14) * 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 883, "span_text": "(14 * (47 - 1))", "extraction_type": "internal", "span_start": 883, "span_end": 900, "original_span": "(14 * (47 - 1))"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2037, "span_text": "(14 * 47)", "extraction_type": "internal", "span_start": 2037, "span_end": 2048, "original_span": "(14 * 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3336, "span_text": "(47 + 14) + 14", "extraction_type": "internal", "span_start": 3336, "span_end": 3352, "original_span": "(47 + 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3611, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 3611, "span_end": 3627, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4773, "span_text": "(47 + 14)", "extraction_type": "internal", "span_start": 4773, "span_end": 4784, "original_span": "(47 + 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5416, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 5416, "span_end": 5432, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7459, "span_text": "(47 + 14) * 14/47", "extraction_type": "internal", "span_start": 7459, "span_end": 7478, "original_span": "(47 + 14) * 14/47"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9183, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 9183, "span_end": 9199, "original_span": "(47 - 14) * 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 947, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 947, "span_end": 963, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2427, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 2427, "span_end": 2443, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4052, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 4052, "span_end": 4068, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5387, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 5387, "span_end": 5403, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6485, "span_text": "(47 + 14) * 14 - 23", "extraction_type": "internal", "span_start": 6485, "span_end": 6506, "original_span": "(47 + 14) * 14 - 23"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8087, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 8087, "span_end": 8103, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9442, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 9442, "span_end": 9458, "original_span": "(47 + 14) * 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2263, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 2263, "span_end": 2279, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4294, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 4294, "span_end": 4310, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6559, "span_text": "(47 - 14) * (14 + 14)", "extraction_type": "internal", "span_start": 6559, "span_end": 6582, "original_span": "(47 - 14) * (14 + 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7688, "span_text": "(14 * 47)", "extraction_type": "internal", "span_start": 7688, "span_end": 7699, "original_span": "(14 * 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8789, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 8789, "span_end": 8805, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 10484, "span_text": "(14 * 47) - 14", "extraction_type": "internal", "span_start": 10484, "span_end": 10500, "original_span": "(14 * 47) - 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2481, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 2481, "span_end": 2497, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4722, "span_text": "((47 - 14) * 14) + 14", "extraction_type": "internal", "span_start": 4722, "span_end": 4745, "original_span": "((47 - 14) * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7073, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 7073, "span_end": 7089, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9029, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 9029, "span_end": 9045, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 10712, "span_text": "(47 * 14) / 14", "extraction_type": "internal", "span_start": 10712, "span_end": 10728, "original_span": "(47 * 14) / 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2141, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 2141, "span_end": 2157, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3030, "span_text": "(14 * 47)", "extraction_type": "internal", "span_start": 3030, "span_end": 3041, "original_span": "(14 * 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5246, "span_text": "(14 * 47) / 14", "extraction_type": "internal", "span_start": 5246, "span_end": 5262, "original_span": "(14 * 47) / 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7209, "span_text": "(14 * 47) + 14", "extraction_type": "internal", "span_start": 7209, "span_end": 7225, "original_span": "(14 * 47) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8440, "span_text": "(14 * 14) * 14 - 658", "extraction_type": "internal", "span_start": 8440, "span_end": 8462, "original_span": "(14 * 14) * 14 - 658"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9749, "span_text": "(47 * 14) / 14", "extraction_type": "internal", "span_start": 9749, "span_end": 9765, "original_span": "(47 * 14) / 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2096, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 2096, "span_end": 2112, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3054, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 3054, "span_end": 3065, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4410, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 4410, "span_end": 4426, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6349, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 6349, "span_end": 6365, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7367, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 7367, "span_end": 7383, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8685, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 8685, "span_end": 8701, "original_span": "(47 * 14) - 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 808, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 808, "span_end": 819, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1812, "span_text": "(14 * 47)", "extraction_type": "internal", "span_start": 1812, "span_end": 1823, "original_span": "(14 * 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3813, "span_text": "(14 - 47) * (-14)", "extraction_type": "internal", "span_start": 3813, "span_end": 3832, "original_span": "(14 - 47) * (-14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6145, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 6145, "span_end": 6161, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7531, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 7531, "span_end": 7547, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 10023, "span_text": "(47 - 14) * 47", "extraction_type": "internal", "span_start": 10023, "span_end": 10039, "original_span": "(47 - 14) * 47"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1636, "span_text": "Not Possible", "extraction_type": "internal", "span_start": 1636, "span_end": 1650, "original_span": "Not Possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2654, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 2654, "span_end": 2665, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4357, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 4357, "span_end": 4373, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5040, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 5040, "span_end": 5056, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6171, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 6171, "span_end": 6182, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7240, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 7240, "span_end": 7256, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9027, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 9027, "span_end": 9043, "original_span": "(47 + 14) * 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2155, "span_text": "Not possible with the given constraints.", "extraction_type": "internal", "span_start": 2155, "span_end": 2197, "original_span": "Not possible with the given constraints."}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3921, "span_text": "Not Possible", "extraction_type": "internal", "span_start": 3921, "span_end": 3935, "original_span": "Not Possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6245, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 6245, "span_end": 6261, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7223, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 7223, "span_end": 7234, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8631, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 8631, "span_end": 8647, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 10403, "span_text": "(47 - 14) + 14 * 47", "extraction_type": "internal", "span_start": 10403, "span_end": 10424, "original_span": "(47 - 14) + 14 * 47"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1972, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 1972, "span_end": 1988, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2957, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 2957, "span_end": 2968, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3809, "span_text": "(47 * 14)", "extraction_type": "internal", "span_start": 3809, "span_end": 3820, "original_span": "(47 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5325, "span_text": "(47 * 14) + 0", "extraction_type": "internal", "span_start": 5325, "span_end": 5340, "original_span": "(47 * 14) + 0"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7081, "span_text": "(47 * 14) - 47", "extraction_type": "internal", "span_start": 7081, "span_end": 7097, "original_span": "(47 * 14) - 47"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 7922, "span_text": "(47 * 14) + 14", "extraction_type": "internal", "span_start": 7922, "span_end": 7938, "original_span": "(47 * 14) + 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9359, "span_text": "(47 * 14) + 47", "extraction_type": "internal", "span_start": 9359, "span_end": 9375, "original_span": "(47 * 14) + 47"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2117, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 2117, "span_end": 2133, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3319, "span_text": "(47 + 14) * 14", "extraction_type": "internal", "span_start": 3319, "span_end": 3335, "original_span": "(47 + 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4303, "span_text": "((14 * 47) - 47)", "extraction_type": "internal", "span_start": 4303, "span_end": 4321, "original_span": "((14 * 47) - 47)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6159, "span_text": "(47 - 14) * 14", "extraction_type": "internal", "span_start": 6159, "span_end": 6175, "original_span": "(47 - 14) * 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 8943, "span_text": "(47 * 14) - 14", "extraction_type": "internal", "span_start": 8943, "span_end": 8959, "original_span": "(47 * 14) - 14"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 9706, "span_text": "(47 * 14) + 10", "extraction_type": "internal", "span_start": 9706, "span_end": 9722, "original_span": "(47 * 14) + 10"}]]
[[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) + 6", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid solution found.", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14 + 47", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * (47 - 14)", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 638", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(14 * 47) - 0", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) / 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 + 47) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * (47 - 1))", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 47)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14/47", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14 - 23", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * (14 + 14)", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 47)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) - 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((47 - 14) * 14) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) / 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 47)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) / 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 47) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 14) * 14 - 658", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) / 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}], [{"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 47)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 - 47) * (-14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 47", "final_answer": 658.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not possible with the given constraints.", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) + 14 * 47", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(47 * 14)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(47 * 14) + 0", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 47", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 47", "final_answer": 658.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((14 * 47) - 47)", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 - 14) * 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) - 14", "final_answer": 658.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 * 14) + 10", "final_answer": 658.0}]]
{ "flips_by": [ 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0 ], "flips_total": 10, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 5, 6, 5, 7, 6, 7, 7, 5, 5, 6, 6, 6, 7, 6, 7, 6 ], "reflect_open": [ 5, 6, 5, 6, 6, 7, 7, 6, 5, 6, 6, 6, 7, 6, 7, 6 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 5, 6, 5, 6, 6, 7, 7, 6, 5, 6, 6, 6, 7, 6, 7, 6 ], "sample_open": [ 6, 7, 6, 7, 7, 8, 8, 6, 6, 7, 7, 7, 8, 6, 8, 7 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 16 and 37 exactly once and combine them using basic arithmetic operations to get the target number 592.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 16 + 37 = 53 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)", "(37 * 16)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1987, "span_end": 1998, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1829, "span_end": 1840, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 3019, "span_end": 3030, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1395, "span_end": 1406, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1390, "span_end": 1401, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1738, "span_end": 1749, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2108, "span_end": 2119, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2554, "span_end": 2565, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1322, "span_end": 1333, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2435, "span_end": 2446, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1349, "span_end": 1360, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2284, "span_end": 2295, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2844, "span_end": 2855, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1871, "span_end": 1882, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1991, "span_end": 2002, "original_span": "(37 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1376, "span_end": 1387, "original_span": "(37 * 16)"}]
[{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}]
[ [ false, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ false, true, true ], [ true, tru...
[ [ "(37 * 16) + 16", "(37 * 16)", "(37 * 16)" ], [ "(37 * 16)", "(37 * 16)", "(37 * 16)" ], [ "Not possible with given constraints", "(37 * 16)", "(37 * 16)" ], [ "(37 * 16)", "(37 * 16)", "(37 * 16)" ], [ "(37 * 16)", "(37 * 16)" ], [ "...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1155, "span_text": "(37 * 16) + 16", "extraction_type": "internal", "span_start": 1155, "span_end": 1171, "original_span": "(37 * 16) + 16"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1772, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1772, "span_end": 1783, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1987, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1987, "span_end": 1998, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 936, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 936, "span_end": 947, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1613, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1613, "span_end": 1624, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1829, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1829, "span_end": 1840, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2173, "span_text": "Not possible with given constraints", "extraction_type": "internal", "span_start": 2173, "span_end": 2210, "original_span": "Not possible with given constraints"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2804, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2804, "span_end": 2815, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3019, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 3019, "span_end": 3030, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1136, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1136, "span_end": 1147, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1395, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1395, "span_end": 1406, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1131, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1131, "span_end": 1142, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1390, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1390, "span_end": 1401, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 876, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 876, "span_end": 887, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1523, "span_end": 1534, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1738, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1738, "span_end": 1749, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1212, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1212, "span_end": 1223, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1813, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1813, "span_end": 1824, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2108, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2108, "span_end": 2119, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1698, "span_text": "Not possible with the given constraints.", "extraction_type": "internal", "span_start": 1698, "span_end": 1740, "original_span": "Not possible with the given constraints."}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2339, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2339, "span_end": 2350, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2554, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2554, "span_end": 2565, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 426, "span_end": 437, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1062, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1062, "span_end": 1073, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1595, "span_text": "(16 * 37) - 16", "extraction_type": "internal", "span_start": 1595, "span_end": 1611, "original_span": "(16 * 37) - 16"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2220, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2220, "span_end": 2231, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2435, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2435, "span_end": 2446, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 426, "span_end": 437, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1089, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1089, "span_end": 1100, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1451, "span_text": "(16 * 37)", "extraction_type": "internal", "span_start": 1451, "span_end": 1462, "original_span": "(16 * 37)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2064, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2064, "span_end": 2075, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2284, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2284, "span_end": 2295, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2016, "span_text": "Not possible", "extraction_type": "internal", "span_start": 2016, "span_end": 2030, "original_span": "Not possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2629, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2629, "span_end": 2640, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2844, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 2844, "span_end": 2855, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 961, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 961, "span_end": 972, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1585, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1585, "span_end": 1596, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1871, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1871, "span_end": 1882, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1154, "span_text": "(37 * 16) + 16", "extraction_type": "internal", "span_start": 1154, "span_end": 1170, "original_span": "(37 * 16) + 16"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1770, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1770, "span_end": 1781, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1991, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1991, "span_end": 2002, "original_span": "(37 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1116, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1116, "span_end": 1127, "original_span": "(37 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1376, "span_text": "(37 * 16)", "extraction_type": "internal", "span_start": 1376, "span_end": 1387, "original_span": "(37 * 16)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(37 * 16) + 16", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not possible with given constraints", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not possible with the given constraints.", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(16 * 37) - 16", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 37)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not possible", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(37 * 16) + 16", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 16)", "final_answer": 592.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 42 and 88 exactly once and combine them using basic arithmetic operations to get the target number 130.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 42 + 88 = 130 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)", "(42 + 88)" ]
[{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2229, "span_end": 2240, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1555, "span_end": 1566, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1398, "span_end": 1409, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1511, "span_end": 1522, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1434, "span_end": 1445, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1707, "span_end": 1718, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1481, "span_end": 1492, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1524, "span_end": 1535, "original_span": "(42 + 88)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1858, "span_end": 1869, "original_span": "(42 + 88)"}]
[{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}]
[ [ true, false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true,...
[ [ "(42 + 88)", "(88 - 42) + 42", "(42 + 88)", "(42 + 88)" ], [ "(42 + 88)", "(42 + 88)", "(42 + 88)" ], [ "(42 + 88)", "(42 + 88)", "(42 + 88)" ], [ "(42 + 88)", "(42 + 88)", "(42 + 88)" ], [ "(42 + 88)", "(42 + 88)", "(42 + 88)" ], ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(88 - 42) + 42", "extraction_type": "internal", "span_start": 1333, "span_end": 1349, "original_span": "(88 - 42) + 42"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2014, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 2014, "span_end": 2025, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2229, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 2229, "span_end": 2240, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1340, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1340, "span_end": 1351, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1555, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1555, "span_end": 1566, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1183, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1183, "span_end": 1194, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1398, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1398, "span_end": 1409, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1511, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1511, "span_end": 1522, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1219, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1219, "span_end": 1230, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1434, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1434, "span_end": 1445, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1707, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1707, "span_end": 1718, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1266, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1266, "span_end": 1277, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1481, "span_end": 1492, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1309, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1309, "span_end": 1320, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1524, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1524, "span_end": 1535, "original_span": "(42 + 88)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1643, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1643, "span_end": 1654, "original_span": "(42 + 88)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1858, "span_text": "(42 + 88)", "extraction_type": "internal", "span_start": 1858, "span_end": 1869, "original_span": "(42 + 88)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(88 - 42) + 42", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(42 + 88)", "final_answer": 130.0}]]
{ "flips_by": [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1 ], "reflect_close": [ 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2 ], "reflect_open": [ 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2 ], "sample_open": [ 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 14 and 8 exactly once and combine them using basic arithmetic operations to get the target number 112.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 14 + 8 = 22 \\]\n\nThis result i...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)", "(14 * 8)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1510, "span_end": 1520, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1286, "span_end": 1296, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1257, "span_end": 1267, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1286, "span_end": 1296, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1502, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1469, "span_end": 1479, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1466, "span_end": 1476, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1307, "span_end": 1317, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1476, "span_end": 1486, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1436, "span_end": 1446, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1333, "span_end": 1343, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1261, "span_end": 1271, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1538, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1467, "span_end": 1477, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1498, "original_span": "(14 * 8)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1313, "span_end": 1323, "original_span": "(14 * 8)"}]
[{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(14 * 8)", "(14 * 8)", "(14 * 8)" ], [ "(14 * 8)", "(14 * 8)", "(14 * 8)" ], [ "(14 * 8)", "(14 * 8)", "(14 * 8)" ], [ "(14 * 8)", "(14 * 8)", "(14 * 8)" ], [ "(14 * 8)", "(14 * 8)", "(14 * 8)" ], [ "(14 * 8)", "(14 * 8)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1510, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1510, "span_end": 1520, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 417, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 417, "span_end": 427, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1028, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1028, "span_end": 1038, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1286, "span_end": 1296, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 410, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 410, "span_end": 420, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1044, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1044, "span_end": 1054, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1257, "span_end": 1267, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1005, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1005, "span_end": 1015, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1286, "span_end": 1296, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1230, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1230, "span_end": 1240, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1492, "span_end": 1502, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1256, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1256, "span_end": 1266, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1469, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1469, "span_end": 1479, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1466, "span_end": 1476, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1047, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1047, "span_end": 1057, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1307, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1307, "span_end": 1317, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1263, "span_end": 1273, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1476, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1476, "span_end": 1486, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1223, "span_end": 1233, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1436, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1436, "span_end": 1446, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1072, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1072, "span_end": 1082, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1333, "span_end": 1343, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 427, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 427, "span_end": 437, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1048, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1048, "span_end": 1058, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1261, "span_end": 1271, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 668, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 668, "span_end": 678, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1266, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1266, "span_end": 1276, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1528, "span_end": 1538, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 631, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 631, "span_end": 641, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1221, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1221, "span_end": 1231, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1467, "span_end": 1477, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 631, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 631, "span_end": 641, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1231, "span_end": 1241, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1488, "span_end": 1498, "original_span": "(14 * 8)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 409, "span_end": 419, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1032, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1032, "span_end": 1042, "original_span": "(14 * 8)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(14 * 8)", "extraction_type": "internal", "span_start": 1313, "span_end": 1323, "original_span": "(14 * 8)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(14 * 8)", "final_answer": 112.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 75 and 56 exactly once and combine them using basic arithmetic operations to get the target number 131.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 75 + 56 = 131 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)", "(75 + 56)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1558, "span_end": 1569, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2370, "span_end": 2381, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1447, "span_end": 1458, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1551, "span_end": 1562, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1569, "span_end": 1580, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1665, "span_end": 1676, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1428, "span_end": 1439, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1700, "span_end": 1711, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2359, "span_end": 2370, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1432, "span_end": 1443, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1457, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1725, "span_end": 1736, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1541, "span_end": 1552, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1481, "span_end": 1492, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1662, "span_end": 1673, "original_span": "(75 + 56)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1448, "span_end": 1459, "original_span": "(75 + 56)"}]
[{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}]
[ [ true, true, true ], [ false, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, false, true, true...
[ [ "(75 + 56)", "(75 + 56)", "(75 + 56)" ], [ "(56 * 75) / 56", "(75 + 56)", "(75 + 56)" ], [ "(75 + 56)", "(75 + 56)" ], [ "(75 + 56)", "(75 + 56)", "(75 + 56)" ], [ "(75 + 56)", "(75 + 56)", "(75 + 56)" ], [ "(75 + 56)", "(75 + 56)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1343, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1343, "span_end": 1354, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1558, "span_end": 1569, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1335, "span_text": "(56 * 75) / 56", "extraction_type": "internal", "span_start": 1335, "span_end": 1351, "original_span": "(56 * 75) / 56"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2155, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 2155, "span_end": 2166, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2370, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 2370, "span_end": 2381, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1232, "span_end": 1243, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1336, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1336, "span_end": 1347, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1551, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1551, "span_end": 1562, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1354, "span_end": 1365, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1569, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1569, "span_end": 1580, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1450, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1450, "span_end": 1461, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1665, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1665, "span_end": 1676, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1213, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1213, "span_end": 1224, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1428, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1428, "span_end": 1439, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1441, "span_end": 1452, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1700, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1700, "span_end": 1711, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1327, "span_text": "(56 * 75) / 56", "extraction_type": "internal", "span_start": 1327, "span_end": 1343, "original_span": "(56 * 75) / 56"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2144, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 2144, "span_end": 2155, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2359, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 2359, "span_end": 2370, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1217, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1217, "span_end": 1228, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1432, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1432, "span_end": 1443, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1231, "span_end": 1242, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1446, "span_end": 1457, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1725, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1725, "span_end": 1736, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1326, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1326, "span_end": 1337, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1541, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1541, "span_end": 1552, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1221, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1221, "span_end": 1232, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1481, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1481, "span_end": 1492, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1447, "span_end": 1458, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1662, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1662, "span_end": 1673, "original_span": "(75 + 56)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1233, "span_end": 1244, "original_span": "(75 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1448, "span_text": "(75 + 56)", "extraction_type": "internal", "span_start": 1448, "span_end": 1459, "original_span": "(75 + 56)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(56 * 75) / 56", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(56 * 75) / 56", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(75 + 56)", "final_answer": 131.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 17 and 34 exactly once and combine them using basic arithmetic operations to get the target number 578.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 17 + 34 = 51 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, false, true, true, true, true, true, false, true, true, true, true, true, true, true ]
[ "(34 * 17)", "(34 * 17)", "(34 - 17) * 34", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 - 17) * 34", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 * 17)", "(34 * 17)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2024, "span_end": 2035, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1311, "span_end": 1322, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1461, "span_end": 1477, "original_span": "(34 - 17) * 34"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1720, "span_end": 1731, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1323, "span_end": 1334, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1677, "span_end": 1688, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1636, "span_end": 1647, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1688, "span_end": 1699, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1461, "span_end": 1477, "original_span": "(34 - 17) * 34"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1600, "span_end": 1611, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1709, "span_end": 1720, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1605, "span_end": 1616, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2091, "span_end": 2102, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1234, "span_end": 1245, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1653, "span_end": 1664, "original_span": "(34 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1335, "span_end": 1346, "original_span": "(34 * 17)"}]
[{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 - 17) * 34", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 - 17) * 34", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}]
[ [ true, true, true ], [ true, true, true ], [ false, false ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ false, fal...
[ [ "(34 * 17)", "(34 * 17)", "(34 * 17)" ], [ "(34 * 17)", "(34 * 17)", "(34 * 17)" ], [ "(34 - 17) * 34", "(34 - 17) * 34" ], [ "(34 * 17)", "(34 * 17)", "(34 * 17)" ], [ "(34 * 17)", "(34 * 17)", "(34 * 17)" ], [ "(17 * 34)", "(34 ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1173, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1173, "span_end": 1184, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1804, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1804, "span_end": 1815, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2024, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 2024, "span_end": 2035, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1051, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1051, "span_end": 1062, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1311, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1311, "span_end": 1322, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(34 - 17) * 34", "extraction_type": "internal", "span_start": 1222, "span_end": 1238, "original_span": "(34 - 17) * 34"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1461, "span_text": "(34 - 17) * 34", "extraction_type": "internal", "span_start": 1461, "span_end": 1477, "original_span": "(34 - 17) * 34"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 824, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 824, "span_end": 835, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1720, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1720, "span_end": 1731, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 426, "span_end": 437, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1064, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1064, "span_end": 1075, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1323, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1323, "span_end": 1334, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 809, "span_text": "(17 * 34)", "extraction_type": "internal", "span_start": 809, "span_end": 820, "original_span": "(17 * 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1677, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1677, "span_end": 1688, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 814, "span_text": "(17 * 34)", "extraction_type": "internal", "span_start": 814, "span_end": 825, "original_span": "(17 * 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1421, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1421, "span_end": 1432, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1636, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1636, "span_end": 1647, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 814, "span_text": "(17 * 34)", "extraction_type": "internal", "span_start": 814, "span_end": 825, "original_span": "(17 * 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1428, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1428, "span_end": 1439, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1688, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1688, "span_end": 1699, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(34 - 17) * 34", "extraction_type": "internal", "span_start": 1222, "span_end": 1238, "original_span": "(34 - 17) * 34"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1461, "span_text": "(34 - 17) * 34", "extraction_type": "internal", "span_start": 1461, "span_end": 1477, "original_span": "(34 - 17) * 34"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 747, "span_text": "(17 * 34)", "extraction_type": "internal", "span_start": 747, "span_end": 758, "original_span": "(17 * 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1345, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1345, "span_end": 1356, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1600, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1600, "span_end": 1611, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 814, "span_text": "(17 * 34)", "extraction_type": "internal", "span_start": 814, "span_end": 825, "original_span": "(17 * 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1450, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1450, "span_end": 1461, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1709, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1709, "span_end": 1720, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 762, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 762, "span_end": 773, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1390, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1390, "span_end": 1401, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1605, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1605, "span_end": 1616, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1194, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1194, "span_end": 1205, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1797, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1797, "span_end": 1808, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2091, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 2091, "span_end": 2102, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1019, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1019, "span_end": 1030, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1234, "span_end": 1245, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 762, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 762, "span_end": 773, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1359, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1359, "span_end": 1370, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1653, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1653, "span_end": 1664, "original_span": "(34 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1045, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1045, "span_end": 1056, "original_span": "(34 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1335, "span_text": "(34 * 17)", "extraction_type": "internal", "span_start": 1335, "span_end": 1346, "original_span": "(34 * 17)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 - 17) * 34", "final_answer": 578.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 - 17) * 34", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 34)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 34)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 34)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 - 17) * 34", "final_answer": 578.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 - 17) * 34", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 34)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 34)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}], [{"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "final_answer": 578.0}, {"is_correct": true, "error": null, "answer_block": "(34 * 17)", "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": 14, "pass_at_n": 1, "percent_correct": 0.875, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 6 and 25 exactly once and combine them using basic arithmetic operations to get the target number 150.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 6 + 25 = 31 \\]\n\nThis result i...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)", "(25 * 6)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1561, "span_end": 1571, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1493, "span_end": 1503, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1493, "span_end": 1503, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1496, "span_end": 1506, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1534, "span_end": 1544, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1473, "span_end": 1483, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1487, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1466, "span_end": 1476, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1474, "span_end": 1484, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1478, "span_end": 1488, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1474, "span_end": 1484, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1470, "span_end": 1480, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1495, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1466, "span_end": 1476, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1510, "original_span": "(25 * 6)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1514, "span_end": 1524, "original_span": "(25 * 6)"}]
[{"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(6 * 25)", "(25 * 6)", "(25 * 6)" ], [ "(6 * 25)", "(25 * 6)", "(25 * 6)" ], [ "(6 * 25)", "(25 * 6)", "(25 * 6)" ], [ "(6 * 25)", "(25 * 6)", "(25 * 6)" ], [ "(6 * 25)", "(25 * 6)", "(25 * 6)" ], [ "(6 * 25)", "(25 * 6)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 668, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 668, "span_end": 678, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1269, "span_end": 1279, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1561, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1561, "span_end": 1571, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 671, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 671, "span_end": 681, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1280, "span_end": 1290, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1493, "span_end": 1503, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 671, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 671, "span_end": 681, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1280, "span_end": 1290, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1493, "span_end": 1503, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 663, "span_end": 673, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1283, "span_end": 1293, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1496, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1496, "span_end": 1506, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 683, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 683, "span_end": 693, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1276, "span_end": 1286, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1534, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1534, "span_end": 1544, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 652, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 652, "span_end": 662, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1260, "span_end": 1270, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1473, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1473, "span_end": 1483, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 663, "span_end": 673, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1264, "span_end": 1274, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1477, "span_end": 1487, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1466, "span_end": 1476, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1261, "span_end": 1271, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1474, "span_end": 1484, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 671, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 671, "span_end": 681, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1265, "span_end": 1275, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1478, "span_end": 1488, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1261, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1261, "span_end": 1271, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1474, "span_end": 1484, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 663, "span_end": 673, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1257, "span_end": 1267, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1470, "span_end": 1480, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 652, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 652, "span_end": 662, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1272, "span_end": 1282, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1485, "span_end": 1495, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 660, "span_end": 670, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1466, "span_end": 1476, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 663, "span_end": 673, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1254, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1254, "span_end": 1264, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1500, "span_end": 1510, "original_span": "(25 * 6)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(6 * 25)", "extraction_type": "internal", "span_start": 663, "span_end": 673, "original_span": "(6 * 25)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1257, "span_end": 1267, "original_span": "(25 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1514, "span_text": "(25 * 6)", "extraction_type": "internal", "span_start": 1514, "span_end": 1524, "original_span": "(25 * 6)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}], [{"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(25 * 6)", "final_answer": 150.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 97 and 58 exactly once and combine them using basic arithmetic operations to get the target number 155.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 97 + 58 = 155 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1933, "span_end": 1944, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 11, "non_overlapping_spans": 11, "span_start": 1804, "span_end": 1815, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 946, "span_end": 957, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1666, "span_end": 1677, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 980, "span_end": 991, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1511, "span_end": 1522, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1442, "span_end": 1453, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1495, "span_end": 1506, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1516, "span_end": 1527, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1602, "span_end": 1613, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1398, "span_end": 1409, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1578, "span_end": 1589, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1577, "span_end": 1588, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1418, "span_end": 1429, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1716, "span_end": 1727, "original_span": "(97 + 58)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(97 + 58)"}]
[{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}]
[ [ true, true, true ], [ true, true, true, true, true, true, true, true, true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, tr...
[ [ "(97 + 58)", "(97 + 58)", "(97 + 58)" ], [ "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)", "(97 + 58)" ], [ "(97 + 58)", "(97 + 58)" ], [ "(97 + 58)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1718, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1718, "span_end": 1729, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1933, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1933, "span_end": 1944, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 788, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 788, "span_end": 799, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 920, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 920, "span_end": 931, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1052, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1052, "span_end": 1063, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1316, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1316, "span_end": 1327, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1448, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1448, "span_end": 1459, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1580, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1580, "span_end": 1591, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1712, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1712, "span_end": 1723, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1804, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1804, "span_end": 1815, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 731, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 731, "span_end": 742, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 946, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 946, "span_end": 957, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1451, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1451, "span_end": 1462, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1666, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1666, "span_end": 1677, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 721, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 721, "span_end": 732, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 980, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 980, "span_end": 991, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1511, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1511, "span_end": 1522, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1227, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1227, "span_end": 1238, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1442, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1442, "span_end": 1453, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1301, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1301, "span_end": 1312, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1516, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1516, "span_end": 1527, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1387, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1387, "span_end": 1398, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1602, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1602, "span_end": 1613, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1183, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1183, "span_end": 1194, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1398, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1398, "span_end": 1409, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1363, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1363, "span_end": 1374, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1578, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1578, "span_end": 1589, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1362, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1362, "span_end": 1373, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1577, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1577, "span_end": 1588, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1418, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1418, "span_end": 1429, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1501, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1501, "span_end": 1512, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1716, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1716, "span_end": 1727, "original_span": "(97 + 58)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1247, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1247, "span_end": 1258, "original_span": "(97 + 58)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(97 + 58)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(97 + 58)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 78 and 32 exactly once and combine them using basic arithmetic operations to get the target number 110.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 78 + 32 = 110 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)", "(78 + 32)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1630, "span_end": 1641, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1943, "span_end": 1954, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3092, "span_end": 3103, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1652, "span_end": 1663, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1399, "span_end": 1410, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}]
[{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, false, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true ], [ ...
[ [ "(78 + 32)", "(78 + 32)", "(78 + 32)" ], [ "(78 + 32)", "(78 + 32)" ], [ "(78 + 32)", "(78 + 32)" ], [ "(78 + 32)", "(78 + 32)", "(78 + 32)" ], [ "(78 + 32)", "(78 * 32)", "(78 + 32)", "(78 + 32)" ], [ "(78 + 32)", "(78 + 32)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1630, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1630, "span_end": 1641, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1728, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1728, "span_end": 1739, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1943, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1943, "span_end": 1954, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2004, "span_text": "(78 * 32)", "extraction_type": "internal", "span_start": 2004, "span_end": 2015, "original_span": "(78 * 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2877, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 2877, "span_end": 2888, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3092, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 3092, "span_end": 3103, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1437, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1437, "span_end": 1448, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1652, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1652, "span_end": 1663, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 1399, "span_end": 1410, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 32)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(78 + 32)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(78 + 32)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(78 * 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 32)", "final_answer": 110.0}]]
{ "flips_by": [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0 ], "reflect_close": [ 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1 ], "reflect_open": [ 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1 ], "sample_open": [ 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 78 and 51 exactly once and combine them using basic arithmetic operations to get the target number 129.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 78 + 51 = 129 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)", "(78 + 51)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1439, "span_end": 1450, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1381, "span_end": 1392, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1464, "span_end": 1475, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1603, "span_end": 1614, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1475, "span_end": 1486, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1402, "span_end": 1413, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1576, "span_end": 1587, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1522, "span_end": 1533, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1512, "span_end": 1523, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1475, "span_end": 1486, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1512, "span_end": 1523, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1459, "span_end": 1470, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1533, "span_end": 1544, "original_span": "(78 + 51)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1467, "span_end": 1478, "original_span": "(78 + 51)"}]
[{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(78 + 51)", "(78 + 51)" ], [ "(78 + 51)", "(78 + 51)", "(78 + 51)" ], [ "(78 + 51)", "(78 + 51)", "(78 + 51)" ], [ "(78 + 51)", "(78 + 51)", "(78 + 51)" ], [ "(78 + 51)", "(78 + 51)", "(78 + 51)" ], [ "(78 + 51)", "(78 + 51)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1224, "span_end": 1235, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1166, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1166, "span_end": 1177, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1381, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1381, "span_end": 1392, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1204, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1204, "span_end": 1215, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1464, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1464, "span_end": 1475, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1388, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1388, "span_end": 1399, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1603, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1603, "span_end": 1614, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1331, "span_end": 1342, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1260, "span_end": 1271, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1187, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1187, "span_end": 1198, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1402, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1402, "span_end": 1413, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1576, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1576, "span_end": 1587, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1307, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1307, "span_end": 1318, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1522, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1522, "span_end": 1533, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1260, "span_end": 1271, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1459, "span_end": 1470, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(78 + 51)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(78 + 51)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1467, "span_text": "(78 + 51)", "extraction_type": "internal", "span_start": 1467, "span_end": 1478, "original_span": "(78 + 51)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}], [{"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 51)", "final_answer": 129.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 67 and 71 exactly once and combine them using basic arithmetic operations to get the target number 138.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 67 + 71 = 138 \\]\n\nThis direc...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(67 + 71)", "(67 + 71)", "(71 + 67)", "(67 + 71)", "(67 + 71)", "(71 + 67)", "(67 + 71)", "(67 + 71)", "(71 + 67)", "(67 + 71)", "(67 + 71)", "(71 + 67)", "(67 + 71)", "(71 + 67)", "(67 + 71)", "(67 + 71)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 703, "span_end": 714, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1545, "span_end": 1556, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1561, "span_end": 1572, "original_span": "(71 + 67)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 761, "span_end": 772, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 699, "span_end": 710, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 978, "span_end": 989, "original_span": "(71 + 67)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 944, "span_end": 955, "original_span": "(71 + 67)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1107, "span_end": 1118, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1560, "span_end": 1571, "original_span": "(71 + 67)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 703, "span_end": 714, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 975, "span_end": 986, "original_span": "(71 + 67)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 754, "span_end": 765, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1674, "span_end": 1685, "original_span": "(67 + 71)"}]
[{"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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"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}]
[ [ true, true ], [ true, true, true ], [ true, true ], [ true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true ], [ true, tr...
[ [ "(67 + 71)", "(67 + 71)" ], [ "(67 + 71)", "(67 + 71)", "(67 + 71)" ], [ "(71 + 67)", "(71 + 67)" ], [ "(67 + 71)" ], [ "(67 + 71)", "(67 + 71)" ], [ "(71 + 67)", "(71 + 67)" ], [ "(67 + 71)", "(67 + 71)" ], [ "(67 + 71)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 444, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 444, "span_end": 455, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 703, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 703, "span_end": 714, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1285, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 1285, "span_end": 1296, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1545, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 1545, "span_end": 1556, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1346, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 1346, "span_end": 1357, "original_span": "(71 + 67)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1561, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 1561, "span_end": 1572, "original_span": "(71 + 67)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 761, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 761, "span_end": 772, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 440, "span_end": 451, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 699, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 699, "span_end": 710, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 719, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 719, "span_end": 730, "original_span": "(71 + 67)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 978, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 978, "span_end": 989, "original_span": "(71 + 67)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 689, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 689, "span_end": 700, "original_span": "(71 + 67)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 944, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 944, "span_end": 955, "original_span": "(71 + 67)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 848, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 848, "span_end": 859, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1107, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 1107, "span_end": 1118, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1345, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 1345, "span_end": 1356, "original_span": "(71 + 67)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1560, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 1560, "span_end": 1571, "original_span": "(71 + 67)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 444, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 444, "span_end": 455, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 703, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 703, "span_end": 714, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 715, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 715, "span_end": 726, "original_span": "(71 + 67)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 975, "span_text": "(71 + 67)", "extraction_type": "internal", "span_start": 975, "span_end": 986, "original_span": "(71 + 67)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 754, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 754, "span_end": 765, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 1459, "span_end": 1470, "original_span": "(67 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1674, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 1674, "span_end": 1685, "original_span": "(67 + 71)"}]]
[[{"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": 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": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}], [{"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}], [{"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": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}], [{"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}], [{"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": 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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}], [{"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": 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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}], [{"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": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 67)", "final_answer": 138.0}], [{"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": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], "reflect_close": [ 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2 ], "reflect_open": [ 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2 ], "sample_open": [ 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 87 and 71 exactly once and combine them using basic arithmetic operations to get the target number 158.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 87 + 71 = 158 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(71 + 87)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)", "(87 + 71)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2083, "span_end": 2094, "original_span": "(71 + 87)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3165, "span_end": 3176, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1604, "span_end": 1615, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1533, "span_end": 1544, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1806, "span_end": 1817, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1541, "span_end": 1552, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1630, "span_end": 1641, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 3187, "span_end": 3198, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1691, "span_end": 1702, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1501, "span_end": 1512, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2333, "span_end": 2344, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1591, "span_end": 1602, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1601, "span_end": 1612, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1689, "span_end": 1700, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1600, "span_end": 1611, "original_span": "(87 + 71)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 3385, "span_end": 3396, "original_span": "(87 + 71)"}]
[{"is_correct": true, "error": null, "answer_block": "(71 + 87)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}]
[ [ true, true, true ], [ true, false, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ false, true, true ], [ true, true...
[ [ "(87 + 71)", "(71 + 87)", "(71 + 87)" ], [ "(87 + 71)", "(87 - 71) * 87", "(87 + 71)", "(87 + 71)" ], [ "(87 + 71)", "(87 + 71)", "(87 + 71)" ], [ "(87 + 71)", "(87 + 71)" ], [ "(87 + 71)", "(87 + 71)", "(87 + 71)" ], [ "(87 + 71)...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1823, "span_text": "(71 + 87)", "extraction_type": "internal", "span_start": 1823, "span_end": 1834, "original_span": "(71 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2083, "span_text": "(71 + 87)", "extraction_type": "internal", "span_start": 2083, "span_end": 2094, "original_span": "(71 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2183, "span_text": "(87 - 71) * 87", "extraction_type": "internal", "span_start": 2183, "span_end": 2199, "original_span": "(87 - 71) * 87"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2950, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 2950, "span_end": 2961, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3165, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 3165, "span_end": 3176, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1604, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1604, "span_end": 1615, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1806, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1806, "span_end": 1817, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1326, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1326, "span_end": 1337, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1541, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1541, "span_end": 1552, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1630, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1630, "span_end": 1641, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2054, "span_text": "(87 - 71) * 71", "extraction_type": "internal", "span_start": 2054, "span_end": 2070, "original_span": "(87 - 71) * 71"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2940, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 2940, "span_end": 2951, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3187, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 3187, "span_end": 3198, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1431, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1431, "span_end": 1442, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1691, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1691, "span_end": 1702, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1501, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1501, "span_end": 1512, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2118, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 2118, "span_end": 2129, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2333, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 2333, "span_end": 2344, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1376, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1376, "span_end": 1387, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1591, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1591, "span_end": 1602, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1341, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1341, "span_end": 1352, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1601, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1601, "span_end": 1612, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1474, "span_end": 1485, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1689, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1689, "span_end": 1700, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1345, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1345, "span_end": 1356, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1600, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 1600, "span_end": 1611, "original_span": "(87 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(87 - 71) + 71", "extraction_type": "internal", "span_start": 1276, "span_end": 1292, "original_span": "(87 - 71) + 71"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2245, "span_text": "(71 * 87) / 71", "extraction_type": "internal", "span_start": 2245, "span_end": 2261, "original_span": "(71 * 87) / 71"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3170, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 3170, "span_end": 3181, "original_span": "(87 + 71)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3385, "span_text": "(87 + 71)", "extraction_type": "internal", "span_start": 3385, "span_end": 3396, "original_span": "(87 + 71)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 87)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(71 + 87)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(87 - 71) * 87", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(87 - 71) * 71", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(87 - 71) + 71", "final_answer": 158.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(71 * 87) / 71", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 71)", "final_answer": 158.0}]]
{ "flips_by": [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], "flips_total": 2, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4 ], "reflect_open": [ 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4 ], "sample_open": [ 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 50 and 18 exactly once and combine them using basic arithmetic operations to get the target number 900.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 50 + 18 = 68 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)", "(50 * 18)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1568, "span_end": 1579, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1494, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1523, "span_end": 1534, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1541, "span_end": 1552, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1501, "span_end": 1512, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1554, "span_end": 1565, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1535, "span_end": 1546, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1572, "span_end": 1583, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1541, "span_end": 1552, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1505, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1478, "span_end": 1489, "original_span": "(50 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1574, "span_end": 1585, "original_span": "(50 * 18)"}]
[{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(50 * 18)", "(50 * 18)", "(50 * 18)" ], [ "(50 * 18)", "(50 * 18)", "(50 * 18)" ], [ "(50 * 18)", "(50 * 18)", "(50 * 18)" ], [ "(50 * 18)", "(50 * 18)", "(50 * 18)" ], [ "(50 * 18)", "(50 * 18)", "(50 * 18)" ], [ "(50 * 18)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 667, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 667, "span_end": 678, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1308, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1308, "span_end": 1319, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1568, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1568, "span_end": 1579, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1268, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1268, "span_end": 1279, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1483, "span_end": 1494, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1523, "span_end": 1534, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1541, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1541, "span_end": 1552, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1501, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1501, "span_end": 1512, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1554, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1554, "span_end": 1565, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1276, "span_end": 1287, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1535, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1535, "span_end": 1546, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1281, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1281, "span_end": 1292, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1572, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1572, "span_end": 1583, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1274, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1274, "span_end": 1285, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1278, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1278, "span_end": 1289, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1541, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1541, "span_end": 1552, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 670, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 670, "span_end": 681, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1263, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1263, "span_end": 1274, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1478, "span_end": 1489, "original_span": "(50 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(50 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1574, "span_text": "(50 * 18)", "extraction_type": "internal", "span_start": 1574, "span_end": 1585, "original_span": "(50 * 18)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}], [{"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 18)", "final_answer": 900.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 33 and 72 exactly once and combine them using basic arithmetic operations to get the target number 105.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 33 + 72 = 105 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, false, true ]
[ "(33 + 72)", "(33 + 72)", "(72 + 33)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 + 72)", "(33 * 72) - 33", "(33 + 72)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1558, "span_end": 1569, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1345, "span_end": 1356, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1399, "span_end": 1410, "original_span": "(72 + 33)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1593, "span_end": 1604, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1368, "span_end": 1379, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1373, "span_end": 1384, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1515, "span_end": 1526, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1577, "span_end": 1588, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1578, "span_end": 1589, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1456, "span_end": 1467, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1505, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1366, "span_end": 1377, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1347, "span_end": 1358, "original_span": "(33 + 72)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 5536, "span_end": 5552, "original_span": "(33 * 72) - 33"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(33 + 72)"}]
[{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(72 + 33)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(33 * 72) - 33", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(33 + 72)", "(33 + 72)", "(33 + 72)" ], [ "(33 + 72)", "(33 + 72)", "(33 + 72)" ], [ "(33 + 72)", "(72 + 33)", "(72 + 33)" ], [ "(33 + 72)", "(33 + 72)", "(33 + 72)" ], [ "(33 + 72)", "(33 + 72)" ], [ "(33 + 72)", "(33 + 72)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1343, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1343, "span_end": 1354, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1558, "span_end": 1569, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1130, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1130, "span_end": 1141, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1345, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1345, "span_end": 1356, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1184, "span_text": "(72 + 33)", "extraction_type": "internal", "span_start": 1184, "span_end": 1195, "original_span": "(72 + 33)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(72 + 33)", "extraction_type": "internal", "span_start": 1399, "span_end": 1410, "original_span": "(72 + 33)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1378, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1378, "span_end": 1389, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1593, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1593, "span_end": 1604, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1153, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1153, "span_end": 1164, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1368, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1368, "span_end": 1379, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1158, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1158, "span_end": 1169, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1373, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1373, "span_end": 1384, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1362, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1362, "span_end": 1373, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1577, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1577, "span_end": 1588, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1363, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1363, "span_end": 1374, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1578, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1578, "span_end": 1589, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1241, "span_end": 1252, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1456, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1456, "span_end": 1467, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1151, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1151, "span_end": 1162, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1366, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1366, "span_end": 1377, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1132, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1132, "span_end": 1143, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1347, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1347, "span_end": 1358, "original_span": "(33 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 5536, "span_text": "(33 * 72) - 33", "extraction_type": "internal", "span_start": 5536, "span_end": 5552, "original_span": "(33 * 72) - 33"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(33 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(33 + 72)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(33 + 72)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(72 + 33)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(72 + 33)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(33 * 72) - 33", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(33 + 72)", "final_answer": 105.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 15, "pass_at_n": 1, "percent_correct": 0.9375, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 81 and 49 exactly once and combine them using basic arithmetic operations to get the target number 130.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 81 + 49 = 130 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)", "(81 + 49)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1706, "span_end": 1717, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1413, "span_end": 1424, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1587, "span_end": 1598, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2667, "span_end": 2678, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1433, "span_end": 1444, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3458, "span_end": 3469, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1604, "span_end": 1615, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1606, "span_end": 1617, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2068, "span_end": 2079, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1516, "span_end": 1527, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1841, "span_end": 1852, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(81 + 49)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1413, "span_end": 1424, "original_span": "(81 + 49)"}]
[{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}]
[ [ true, true ], [ true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, false, true, true ], [ true, true ], [ true, false, true, true ], [ true, ...
[ [ "(81 + 49)", "(81 + 49)" ], [ "(81 + 49)" ], [ "(81 + 49)", "(81 + 49)", "(81 + 49)" ], [ "(81 + 49)", "(81 + 49)" ], [ "(81 + 49)", "(81 + 49)" ], [ "(81 + 49)", "(81 + 49)", "(81 + 49)" ], [ "(81 + 49)", "(81 - 49) + 81", "(...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1491, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1491, "span_end": 1502, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1706, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1706, "span_end": 1717, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1198, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1198, "span_end": 1209, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1413, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1413, "span_end": 1424, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1372, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1372, "span_end": 1383, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1587, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1587, "span_end": 1598, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1571, "span_text": "(81 - 49) + 81", "extraction_type": "internal", "span_start": 1571, "span_end": 1587, "original_span": "(81 - 49) + 81"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2452, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 2452, "span_end": 2463, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2667, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 2667, "span_end": 2678, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1218, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1218, "span_end": 1229, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1433, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1433, "span_end": 1444, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2459, "span_text": "(81 - 49) * 49", "extraction_type": "internal", "span_start": 2459, "span_end": 2475, "original_span": "(81 - 49) * 49"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3243, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 3243, "span_end": 3254, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3458, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 3458, "span_end": 3469, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1389, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1389, "span_end": 1400, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1604, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1604, "span_end": 1615, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1391, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1391, "span_end": 1402, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1606, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1606, "span_end": 1617, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1809, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1809, "span_end": 1820, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2068, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 2068, "span_end": 2079, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1301, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1301, "span_end": 1312, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1516, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1516, "span_end": 1527, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1626, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1626, "span_end": 1637, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1841, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1841, "span_end": 1852, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(81 + 49)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1198, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1198, "span_end": 1209, "original_span": "(81 + 49)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1413, "span_text": "(81 + 49)", "extraction_type": "internal", "span_start": 1413, "span_end": 1424, "original_span": "(81 + 49)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 - 49) + 81", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 - 49) * 49", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}], [{"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 2, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ], "reflect_close": [ 1, 1, 2, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2 ], "reflect_open": [ 1, 1, 2, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 2, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2 ], "sample_open": [ 1, 1, 2, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 34 and 69 exactly once and combine them using basic arithmetic operations to get the target number 103.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 34 + 69 = 103 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(34 + 69)", "(34 + 69)", "(34 + 69)", "(34 + 69)", "(34 + 69)", "(34 + 69)", "(69 + 34)", "(34 + 69)", "(34 + 69)", "(69 + 34)", "(34 + 69)", "(34 + 69)", "(34 + 69)", "(34 + 69)", "(34 + 69)", "(34 + 69)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1420, "span_end": 1431, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1436, "span_end": 1447, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1429, "span_end": 1440, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1595, "span_end": 1606, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1455, "span_end": 1466, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1539, "span_end": 1550, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1610, "span_end": 1621, "original_span": "(69 + 34)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1539, "span_end": 1550, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1589, "span_end": 1600, "original_span": "(69 + 34)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1391, "span_end": 1402, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1432, "span_end": 1443, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1370, "span_end": 1381, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1576, "span_end": 1587, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1537, "span_end": 1548, "original_span": "(34 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1601, "span_end": 1612, "original_span": "(34 + 69)"}]
[{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, ...
[ [ "(34 + 69)", "(34 + 69)", "(34 + 69)" ], [ "(34 + 69)", "(34 + 69)", "(34 + 69)" ], [ "(34 + 69)", "(34 + 69)", "(34 + 69)" ], [ "(34 + 69)", "(34 + 69)", "(34 + 69)" ], [ "(34 + 69)", "(34 + 69)", "(34 + 69)" ], [ "(34 + 69)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1205, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1205, "span_end": 1216, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1420, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1420, "span_end": 1431, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1221, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1221, "span_end": 1232, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1436, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1436, "span_end": 1447, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1169, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1169, "span_end": 1180, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1429, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1429, "span_end": 1440, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1335, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1335, "span_end": 1346, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1595, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1595, "span_end": 1606, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1195, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1195, "span_end": 1206, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1455, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1455, "span_end": 1466, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1324, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1324, "span_end": 1335, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1539, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1539, "span_end": 1550, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1395, "span_text": "(69 + 34)", "extraction_type": "internal", "span_start": 1395, "span_end": 1406, "original_span": "(69 + 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1610, "span_text": "(69 + 34)", "extraction_type": "internal", "span_start": 1610, "span_end": 1621, "original_span": "(69 + 34)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1324, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1324, "span_end": 1335, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1539, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1539, "span_end": 1550, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 440, "span_end": 451, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1374, "span_text": "(69 + 34)", "extraction_type": "internal", "span_start": 1374, "span_end": 1385, "original_span": "(69 + 34)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1589, "span_text": "(69 + 34)", "extraction_type": "internal", "span_start": 1589, "span_end": 1600, "original_span": "(69 + 34)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1176, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1176, "span_end": 1187, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1391, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1391, "span_end": 1402, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1173, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1173, "span_end": 1184, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1432, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1432, "span_end": 1443, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 440, "span_end": 451, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1155, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1155, "span_end": 1166, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1370, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1370, "span_end": 1381, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1361, "span_end": 1372, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1576, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1576, "span_end": 1587, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1537, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1537, "span_end": 1548, "original_span": "(34 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1386, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1386, "span_end": 1397, "original_span": "(34 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1601, "span_text": "(34 + 69)", "extraction_type": "internal", "span_start": 1601, "span_end": 1612, "original_span": "(34 + 69)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}], [{"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}, {"is_correct": true, "error": null, "answer_block": "(34 + 69)", "final_answer": 103.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 41 and 59 exactly once and combine them using basic arithmetic operations to get the target number 100.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 41 + 59 = 100 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(41 + 59)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(59 + 41)", "(41 + 59)", "(41 + 59)", "(41 + 59)", "(59 + 41)", "(59 + 41)", "(41 + 59)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2040, "span_end": 2051, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 706, "span_end": 717, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 706, "span_end": 717, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2448, "span_end": 2459, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1549, "span_end": 1560, "original_span": "(59 + 41)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 2061, "span_end": 2072, "original_span": "(41 + 59)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1600, "span_end": 1611, "original_span": "(59 + 41)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2528, "span_end": 2539, "original_span": "(59 + 41)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3567, "span_end": 3578, "original_span": "(41 + 59)"}]
[{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ]...
[ [ "(41 + 59)", "(41 + 59)", "(41 + 59)" ], [ "(41 + 59)", "(41 + 59)" ], [ "(41 + 59)", "(41 + 59)" ], [ "(41 + 59)", "(41 + 59)" ], [ "(41 + 59)", "(41 + 59)" ], [ "(41 + 59)", "(41 + 59)" ], [ "(41 + 59)", "(41 + 59)", "(41 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1825, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 1825, "span_end": 1836, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2040, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 2040, "span_end": 2051, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 491, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 491, "span_end": 502, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 706, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 706, "span_end": 717, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 491, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 491, "span_end": 502, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 706, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 706, "span_end": 717, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 491, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 491, "span_end": 502, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2233, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 2233, "span_end": 2244, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2448, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 2448, "span_end": 2459, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1334, "span_text": "(59 + 41)", "extraction_type": "internal", "span_start": 1334, "span_end": 1345, "original_span": "(59 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(59 + 41)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(59 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 677, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 677, "span_end": 688, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1846, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 1846, "span_end": 1857, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2061, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 2061, "span_end": 2072, "original_span": "(41 + 59)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1385, "span_text": "(59 + 41)", "extraction_type": "internal", "span_start": 1385, "span_end": 1396, "original_span": "(59 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1600, "span_text": "(59 + 41)", "extraction_type": "internal", "span_start": 1600, "span_end": 1611, "original_span": "(59 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 491, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 491, "span_end": 502, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1418, "span_text": "(59 - 41) + 41", "extraction_type": "internal", "span_start": 1418, "span_end": 1434, "original_span": "(59 - 41) + 41"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2313, "span_text": "(59 + 41)", "extraction_type": "internal", "span_start": 2313, "span_end": 2324, "original_span": "(59 + 41)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2528, "span_text": "(59 + 41)", "extraction_type": "internal", "span_start": 2528, "span_end": 2539, "original_span": "(59 + 41)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 462, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 462, "span_end": 473, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2496, "span_text": "(41 * 59) - 41", "extraction_type": "internal", "span_start": 2496, "span_end": 2512, "original_span": "(41 * 59) - 41"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3352, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 3352, "span_end": 3363, "original_span": "(41 + 59)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3567, "span_text": "(41 + 59)", "extraction_type": "internal", "span_start": 3567, "span_end": 3578, "original_span": "(41 + 59)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(59 - 41) + 41", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(59 + 41)", "final_answer": 100.0}], [{"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(41 * 59) - 41", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}, {"is_correct": true, "error": null, "answer_block": "(41 + 59)", "final_answer": 100.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], "flips_total": 2, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 3, 3 ], "reflect_open": [ 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 3, 3 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 3, 3 ], "sample_open": [ 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 3, 3 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 91 and 13 exactly once and combine them using basic arithmetic operations to get the target number 104.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 91 + 13 = 104 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)", "(91 + 13)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1560, "span_end": 1571, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1499, "span_end": 1510, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1454, "span_end": 1465, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1598, "span_end": 1609, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1725, "span_end": 1736, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 924, "span_end": 935, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 965, "span_end": 976, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1538, "span_end": 1549, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1503, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1751, "span_end": 1762, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1535, "span_end": 1546, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1653, "span_end": 1664, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1666, "span_end": 1677, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2948, "span_end": 2959, "original_span": "(91 + 13)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2504, "span_end": 2515, "original_span": "(91 + 13)"}]
[{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(91 + 13)", "(91 + 13)", "(91 + 13)" ], [ "(91 + 13)", "(91 + 13)", "(91 + 13)" ], [ "(91 + 13)", "(91 + 13)", "(91 + 13)" ], [ "(91 + 13)", "(91 + 13)", "(91 + 13)" ], [ "(91 + 13)", "(91 + 13)", "(91 + 13)" ], [ "(91 + 13)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1300, "span_end": 1311, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1560, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1560, "span_end": 1571, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1284, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1284, "span_end": 1295, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1499, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1499, "span_end": 1510, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1239, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1239, "span_end": 1250, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1454, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1454, "span_end": 1465, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 561, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 561, "span_end": 572, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1338, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1338, "span_end": 1349, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1598, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1598, "span_end": 1609, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1466, "span_end": 1477, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1725, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1725, "span_end": 1736, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 709, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 709, "span_end": 720, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 924, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 924, "span_end": 935, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 717, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 717, "span_end": 728, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 965, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 965, "span_end": 976, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 583, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 583, "span_end": 594, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1278, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1278, "span_end": 1289, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1538, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1538, "span_end": 1549, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1226, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1226, "span_end": 1237, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1536, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1536, "span_end": 1547, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1751, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1751, "span_end": 1762, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1535, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1535, "span_end": 1546, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1394, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1394, "span_end": 1405, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1653, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1653, "span_end": 1664, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 709, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 709, "span_end": 720, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1451, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1451, "span_end": 1462, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1666, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 1666, "span_end": 1677, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2689, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 2689, "span_end": 2700, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2948, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 2948, "span_end": 2959, "original_span": "(91 + 13)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1310, "span_text": "(91 - 13) + 91", "extraction_type": "internal", "span_start": 1310, "span_end": 1326, "original_span": "(91 - 13) + 91"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2289, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 2289, "span_end": 2300, "original_span": "(91 + 13)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2504, "span_text": "(91 + 13)", "extraction_type": "internal", "span_start": 2504, "span_end": 2515, "original_span": "(91 + 13)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(91 - 13) + 91", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 13)", "final_answer": 104.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3 ], "reflect_open": [ 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3 ], "sample_open": [ 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 16 and 20 exactly once and combine them using basic arithmetic operations to get the target number 320.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 16 + 20 = 36 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)", "(20 * 16)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1472, "span_end": 1483, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1350, "span_end": 1361, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1318, "span_end": 1329, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1440, "span_end": 1451, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1384, "span_end": 1395, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1551, "span_end": 1562, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1445, "span_end": 1456, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1306, "span_end": 1317, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1513, "span_end": 1524, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1282, "span_end": 1293, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1503, "span_end": 1514, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1333, "span_end": 1344, "original_span": "(20 * 16)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1470, "span_end": 1481, "original_span": "(20 * 16)"}]
[{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(16 * 20)", "(20 * 16)", "(20 * 16)" ], [ "(16 * 20)", "(20 * 16)", "(20 * 16)" ], [ "(20 * 16)", "(20 * 16)", "(20 * 16)" ], [ "(16 * 20)", "(20 * 16)", "(20 * 16)" ], [ "(20 * 16)", "(20 * 16)", "(20 * 16)" ], [ "(16 * 20)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 658, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 658, "span_end": 669, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1257, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1257, "span_end": 1268, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1472, "span_end": 1483, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 664, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 664, "span_end": 675, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1060, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1060, "span_end": 1071, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1350, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1350, "span_end": 1361, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1103, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1103, "span_end": 1114, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1318, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1318, "span_end": 1329, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 626, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 626, "span_end": 637, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1225, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1225, "span_end": 1236, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1440, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1440, "span_end": 1451, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1124, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1124, "span_end": 1135, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1384, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1384, "span_end": 1395, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 664, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 664, "span_end": 675, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1267, "span_end": 1278, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1551, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1551, "span_end": 1562, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 627, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 627, "span_end": 638, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1230, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1230, "span_end": 1241, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1445, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1445, "span_end": 1456, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 409, "span_end": 420, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1046, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1046, "span_end": 1057, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1306, "span_end": 1317, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 627, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 627, "span_end": 638, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1226, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1226, "span_end": 1237, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1513, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1513, "span_end": 1524, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1067, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1067, "span_end": 1078, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1282, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1282, "span_end": 1293, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 626, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 626, "span_end": 637, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1221, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1221, "span_end": 1232, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1118, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1118, "span_end": 1129, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1333, "span_end": 1344, "original_span": "(20 * 16)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(16 * 20)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(16 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1255, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1255, "span_end": 1266, "original_span": "(20 * 16)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(20 * 16)", "extraction_type": "internal", "span_start": 1470, "span_end": 1481, "original_span": "(20 * 16)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 16)", "final_answer": 320.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 11 and 38 exactly once and combine them using basic arithmetic operations to get the target number 418.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 11 + 38 = 49 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)", "(38 * 11)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2014, "span_end": 2025, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 3023, "span_end": 3034, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1779, "span_end": 1790, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1387, "span_end": 1398, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2793, "span_end": 2804, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1777, "span_end": 1788, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1345, "span_end": 1356, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2009, "span_end": 2020, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1230, "span_end": 1241, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2485, "span_end": 2496, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2219, "span_end": 2230, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1632, "span_end": 1643, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1946, "span_end": 1957, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2645, "span_end": 2656, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1269, "span_end": 1280, "original_span": "(38 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1967, "span_end": 1978, "original_span": "(38 * 11)"}]
[{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}]
[ [ false, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ tru...
[ [ "(38 * 11) + 11", "(38 * 11)", "(38 * 11)" ], [ "Not Possible", "(38 * 11)", "(38 * 11)" ], [ "(38 * 11)", "(38 * 11)", "(38 * 11)" ], [ "(38 * 11)", "(38 * 11)", "(38 * 11)" ], [ "(38 * 11) - 11", "(38 * 11)", "(38 * 11)" ], [ "(...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1128, "span_text": "(38 * 11) + 11", "extraction_type": "internal", "span_start": 1128, "span_end": 1144, "original_span": "(38 * 11) + 11"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1754, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1754, "span_end": 1765, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2014, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2014, "span_end": 2025, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2201, "span_text": "Not Possible", "extraction_type": "internal", "span_start": 2201, "span_end": 2215, "original_span": "Not Possible"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2808, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2808, "span_end": 2819, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3023, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 3023, "span_end": 3034, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 924, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 924, "span_end": 935, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1519, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1519, "span_end": 1530, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1779, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1779, "span_end": 1790, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1127, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1127, "span_end": 1138, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1387, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1387, "span_end": 1398, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1913, "span_text": "(38 * 11) - 11", "extraction_type": "internal", "span_start": 1913, "span_end": 1929, "original_span": "(38 * 11) - 11"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2533, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2533, "span_end": 2544, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2793, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2793, "span_end": 2804, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 910, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 910, "span_end": 921, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1517, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1517, "span_end": 1528, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1777, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1777, "span_end": 1788, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1130, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1130, "span_end": 1141, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1345, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1345, "span_end": 1356, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1115, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1115, "span_end": 1126, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1749, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1749, "span_end": 1760, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2009, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2009, "span_end": 2020, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 413, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 413, "span_end": 424, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 970, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 970, "span_end": 981, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1230, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1230, "span_end": 1241, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1567, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1567, "span_end": 1578, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2197, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2197, "span_end": 2208, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2485, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2485, "span_end": 2496, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1404, "span_text": "(11 * 38)", "extraction_type": "internal", "span_start": 1404, "span_end": 1415, "original_span": "(11 * 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2004, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2004, "span_end": 2015, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2219, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2219, "span_end": 2230, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 818, "span_text": "(11 * 38)", "extraction_type": "internal", "span_start": 818, "span_end": 829, "original_span": "(11 * 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1632, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1632, "span_end": 1643, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1092, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1092, "span_end": 1103, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1688, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1688, "span_end": 1699, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1946, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1946, "span_end": 1957, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1794, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1794, "span_end": 1805, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2385, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2385, "span_end": 2396, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2645, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 2645, "span_end": 2656, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 426, "span_end": 437, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1054, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1054, "span_end": 1065, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(38 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1101, "span_text": "(38 * 11) - 11", "extraction_type": "internal", "span_start": 1101, "span_end": 1117, "original_span": "(38 * 11) - 11"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1718, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1718, "span_end": 1729, "original_span": "(38 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1967, "span_text": "(38 * 11)", "extraction_type": "internal", "span_start": 1967, "span_end": 1978, "original_span": "(38 * 11)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(38 * 11) + 11", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(38 * 11) - 11", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(11 * 38)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(11 * 38)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(38 * 11) - 11", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}, {"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 95 and 38 exactly once and combine them using basic arithmetic operations to get the target number 133.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 95 + 38 = 133 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(38 + 95)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)", "(95 + 38)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1896, "span_end": 1907, "original_span": "(38 + 95)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1004, "span_end": 1015, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 846, "span_end": 857, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1698, "span_end": 1709, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1572, "span_end": 1583, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 920, "span_end": 931, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1501, "span_end": 1512, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1574, "span_end": 1585, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 846, "span_end": 857, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1546, "span_end": 1557, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1439, "span_end": 1450, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1482, "span_end": 1493, "original_span": "(95 + 38)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(95 + 38)"}]
[{"is_correct": true, "error": null, "answer_block": "(38 + 95)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, ...
[ [ "(95 + 38)", "(38 + 95)", "(38 + 95)" ], [ "(95 + 38)", "(95 + 38)" ], [ "(95 + 38)", "(95 + 38)", "(95 + 38)" ], [ "(95 + 38)", "(95 + 38)", "(95 + 38)" ], [ "(95 + 38)" ], [ "(95 + 38)", "(95 + 38)", "(95 + 38)" ], [ "(95 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1636, "span_text": "(38 + 95)", "extraction_type": "internal", "span_start": 1636, "span_end": 1647, "original_span": "(38 + 95)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1896, "span_text": "(38 + 95)", "extraction_type": "internal", "span_start": 1896, "span_end": 1907, "original_span": "(38 + 95)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 789, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 789, "span_end": 800, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1004, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1004, "span_end": 1015, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1220, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1220, "span_end": 1231, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 846, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 846, "span_end": 857, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1698, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1698, "span_end": 1709, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1312, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1312, "span_end": 1323, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1572, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1572, "span_end": 1583, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 705, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 705, "span_end": 716, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 920, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 920, "span_end": 931, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1501, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1501, "span_end": 1512, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1315, "span_end": 1326, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1574, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1574, "span_end": 1585, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 656, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 656, "span_end": 667, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 846, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 846, "span_end": 857, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1286, "span_end": 1297, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1224, "span_end": 1235, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1222, "span_end": 1233, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1482, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1482, "span_end": 1493, "original_span": "(95 + 38)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(95 + 38)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(95 + 38)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 95)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(38 + 95)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2 ], "reflect_open": [ 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2 ], "sample_open": [ 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 66 and 62 exactly once and combine them using basic arithmetic operations to get the target number 128.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 66 + 62 = 128 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)", "(66 + 62)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1514, "span_end": 1525, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 960, "span_end": 971, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1512, "span_end": 1523, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1599, "span_end": 1610, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 953, "span_end": 964, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1439, "span_end": 1450, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 952, "span_end": 963, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 663, "span_end": 674, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1503, "original_span": "(66 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1461, "span_end": 1472, "original_span": "(66 + 62)"}]
[{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, ...
[ [ "(66 + 62)", "(66 + 62)", "(66 + 62)" ], [ "(66 + 62)", "(66 + 62)" ], [ "(66 + 62)", "(66 + 62)", "(66 + 62)" ], [ "(66 + 62)", "(66 + 62)" ], [ "(66 + 62)", "(66 + 62)" ], [ "(66 + 62)", "(66 + 62)" ], [ "(66 + 62)", "(66 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1299, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1299, "span_end": 1310, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1514, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1514, "span_end": 1525, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 745, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 745, "span_end": 756, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 960, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 960, "span_end": 971, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1297, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1297, "span_end": 1308, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1339, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1339, "span_end": 1350, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1599, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1599, "span_end": 1610, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 738, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 738, "span_end": 749, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 953, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 953, "span_end": 964, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1224, "span_end": 1235, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1439, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1439, "span_end": 1450, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 952, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 952, "span_end": 963, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 663, "span_end": 674, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(66 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1246, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1246, "span_end": 1257, "original_span": "(66 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1461, "span_text": "(66 + 62)", "extraction_type": "internal", "span_start": 1461, "span_end": 1472, "original_span": "(66 + 62)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}], [{"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 62)", "final_answer": 128.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1 ], "reflect_close": [ 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2 ], "reflect_open": [ 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2 ], "sample_open": [ 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 18 and 29 exactly once and combine them using basic arithmetic operations to get the target number 522.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 18 + 29 = 47 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(29 * 18)", "(18 * 29)", "(18 * 29)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1721, "span_end": 1732, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2014, "span_end": 2025, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1503, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1753, "span_end": 1764, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1362, "span_end": 1373, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2456, "span_end": 2467, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1953, "span_end": 1964, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2025, "span_end": 2036, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1314, "span_end": 1325, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1328, "span_end": 1339, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2154, "span_end": 2165, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2723, "span_end": 2734, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1747, "span_end": 1758, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1797, "span_end": 1808, "original_span": "(29 * 18)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1167, "span_end": 1178, "original_span": "(18 * 29)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1822, "span_end": 1833, "original_span": "(18 * 29)"}]
[{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}]
[ [ false, true, true ], [ false, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ false, true, true ], [ true, true, true ], [ tru...
[ [ "(29 * 18) + 18", "(29 * 18)", "(29 * 18)" ], [ "(29 * 18) + 18", "(29 * 18)", "(29 * 18)" ], [ "(18 * 29)", "(29 * 18)", "(29 * 18)" ], [ "(29 * 18)", "(29 * 18)", "(29 * 18)" ], [ "(29 * 18)", "(29 * 18)", "(29 * 18)" ], [ "(18 ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 891, "span_text": "(29 * 18) + 18", "extraction_type": "internal", "span_start": 891, "span_end": 907, "original_span": "(29 * 18) + 18"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1505, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1505, "span_end": 1516, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1721, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1721, "span_end": 1732, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1148, "span_text": "(29 * 18) + 18", "extraction_type": "internal", "span_start": 1148, "span_end": 1164, "original_span": "(29 * 18) + 18"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1761, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1761, "span_end": 1772, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2014, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2014, "span_end": 2025, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(18 * 29)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(18 * 29)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 934, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 934, "span_end": 945, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1538, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1538, "span_end": 1549, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1753, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1753, "span_end": 1764, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1110, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1110, "span_end": 1121, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1362, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1362, "span_end": 1373, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1637, "span_text": "(18 * 29)", "extraction_type": "internal", "span_start": 1637, "span_end": 1648, "original_span": "(18 * 29)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2241, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2241, "span_end": 2252, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2456, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2456, "span_end": 2467, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1117, "span_text": "(29 * 18) + 18", "extraction_type": "internal", "span_start": 1117, "span_end": 1133, "original_span": "(29 * 18) + 18"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1738, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1738, "span_end": 1749, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1953, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1953, "span_end": 1964, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1777, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1777, "span_end": 1788, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2025, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2025, "span_end": 2036, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1062, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1062, "span_end": 1073, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1314, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1314, "span_end": 1325, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1113, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1113, "span_end": 1124, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1328, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1328, "span_end": 1339, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1316, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1316, "span_end": 1327, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1934, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1934, "span_end": 1945, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2154, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2154, "span_end": 2165, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1889, "span_text": "(29 + 18) * 18", "extraction_type": "internal", "span_start": 1889, "span_end": 1905, "original_span": "(29 + 18) * 18"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2508, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2508, "span_end": 2519, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2723, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 2723, "span_end": 2734, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 934, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 934, "span_end": 945, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1747, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1747, "span_end": 1758, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 983, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 983, "span_end": 994, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1582, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1582, "span_end": 1593, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1797, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 1797, "span_end": 1808, "original_span": "(29 * 18)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 913, "span_text": "(18 * 29)", "extraction_type": "internal", "span_start": 913, "span_end": 924, "original_span": "(18 * 29)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1167, "span_text": "(18 * 29)", "extraction_type": "internal", "span_start": 1167, "span_end": 1178, "original_span": "(18 * 29)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 444, "span_text": "(29 * 18)", "extraction_type": "internal", "span_start": 444, "span_end": 455, "original_span": "(29 * 18)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1607, "span_text": "(18 * 29)", "extraction_type": "internal", "span_start": 1607, "span_end": 1618, "original_span": "(18 * 29)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1822, "span_text": "(18 * 29)", "extraction_type": "internal", "span_start": 1822, "span_end": 1833, "original_span": "(18 * 29)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(29 * 18) + 18", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(29 * 18) + 18", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(29 * 18) + 18", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(29 + 18) * 18", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}], [{"is_correct": true, "error": null, "answer_block": "(29 * 18)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}, {"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 37 and 11 exactly once and combine them using basic arithmetic operations to get the target number 407.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 37 + 11 = 48 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)", "(37 * 11)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 934, "span_end": 945, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 934, "span_end": 945, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1589, "span_end": 1600, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1553, "span_end": 1564, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 934, "span_end": 945, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 925, "span_end": 936, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1337, "span_end": 1348, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1535, "span_end": 1546, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1556, "span_end": 1567, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1542, "span_end": 1553, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 925, "span_end": 936, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 690, "span_end": 701, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1545, "span_end": 1556, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1331, "span_end": 1342, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1540, "span_end": 1551, "original_span": "(37 * 11)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1548, "span_end": 1559, "original_span": "(37 * 11)"}]
[{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}]
[ [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(37 * 11)", "(37 * 11)" ], [ "(37 * 11)", "(37 * 11)" ], [ "(37 * 11)", "(37 * 11)", "(37 * 11)" ], [ "(37 * 11)", "(37 * 11)", "(37 * 11)" ], [ "(37 * 11)", "(37 * 11)" ], [ "(37 * 11)", "(37 * 11)" ], [ "(37 * 11)", "(37 * ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 934, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 934, "span_end": 945, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 934, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 934, "span_end": 945, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1295, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1295, "span_end": 1306, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1589, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1589, "span_end": 1600, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1293, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1293, "span_end": 1304, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1553, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1553, "span_end": 1564, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 934, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 934, "span_end": 945, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 925, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 925, "span_end": 936, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1077, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1077, "span_end": 1088, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1337, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1337, "span_end": 1348, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1535, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1535, "span_end": 1546, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1556, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1556, "span_end": 1567, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 925, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 925, "span_end": 936, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 387, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 387, "span_end": 398, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 531, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 531, "span_end": 542, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 690, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 690, "span_end": 701, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1296, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1296, "span_end": 1307, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1545, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1545, "span_end": 1556, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1071, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1071, "span_end": 1082, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1331, "span_end": 1342, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1540, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1540, "span_end": 1551, "original_span": "(37 * 11)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 675, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 675, "span_end": 686, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(37 * 11)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(37 * 11)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(37 * 11)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}], [{"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}, {"is_correct": true, "error": null, "answer_block": "(37 * 11)", "final_answer": 407.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 ], "reflect_close": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2 ], "reflect_open": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2 ], "sample_open": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 17 and 21 exactly once and combine them using basic arithmetic operations to get the target number 357.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 17 + 21 = 38 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)", "(21 * 17)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1982, "span_end": 1993, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1786, "span_end": 1797, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1736, "span_end": 1747, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 732, "span_end": 743, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1397, "span_end": 1408, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2183, "span_end": 2194, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 732, "span_end": 743, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1698, "span_end": 1709, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1923, "span_end": 1934, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1848, "span_end": 1859, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 671, "span_end": 682, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 732, "span_end": 743, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1730, "span_end": 1741, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1700, "span_end": 1711, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2099, "span_end": 2110, "original_span": "(21 * 17)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 688, "span_end": 699, "original_span": "(21 * 17)"}]
[{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}]
[ [ false, true, true ], [ false, true, true ], [ false, true, true ], [ true, true ], [ true, true, true ], [ false, true, true ], [ true, true ], [ false, true, true ], [ true, true, t...
[ [ "(17 * 21) + 17", "(21 * 17)", "(21 * 17)" ], [ "(21 * 17) - 17", "(21 * 17)", "(21 * 17)" ], [ "(21 * 17) - 17", "(21 * 17)", "(21 * 17)" ], [ "(21 * 17)", "(21 * 17)" ], [ "(21 * 17)", "(21 * 17)", "(21 * 17)" ], [ "(17 * 21) - 17",...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1145, "span_text": "(17 * 21) + 17", "extraction_type": "internal", "span_start": 1145, "span_end": 1161, "original_span": "(17 * 21) + 17"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1767, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1767, "span_end": 1778, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1982, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1982, "span_end": 1993, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 891, "span_text": "(21 * 17) - 17", "extraction_type": "internal", "span_start": 891, "span_end": 907, "original_span": "(21 * 17) - 17"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1571, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1571, "span_end": 1582, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1786, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1786, "span_end": 1797, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 868, "span_text": "(21 * 17) - 17", "extraction_type": "internal", "span_start": 868, "span_end": 884, "original_span": "(21 * 17) - 17"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1736, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1736, "span_end": 1747, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 732, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 732, "span_end": 743, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1137, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1137, "span_end": 1148, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1397, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1397, "span_end": 1408, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1306, "span_text": "(17 * 21) - 17", "extraction_type": "internal", "span_start": 1306, "span_end": 1322, "original_span": "(17 * 21) - 17"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1926, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1926, "span_end": 1937, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2183, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 2183, "span_end": 2194, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 732, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 732, "span_end": 743, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 868, "span_text": "(21 * 17) - 17", "extraction_type": "internal", "span_start": 868, "span_end": 884, "original_span": "(21 * 17) - 17"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1483, "span_end": 1494, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1698, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1698, "span_end": 1709, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1124, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1124, "span_end": 1135, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1708, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1708, "span_end": 1719, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1923, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1923, "span_end": 1934, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 958, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 958, "span_end": 969, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1558, "span_end": 1569, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1848, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1848, "span_end": 1859, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 671, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 671, "span_end": 682, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 732, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 732, "span_end": 743, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 891, "span_text": "(21 * 17) - 17", "extraction_type": "internal", "span_start": 891, "span_end": 907, "original_span": "(21 * 17) - 17"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1515, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1515, "span_end": 1526, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1730, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1730, "span_end": 1741, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 861, "span_text": "(17 * 21)", "extraction_type": "internal", "span_start": 861, "span_end": 872, "original_span": "(17 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1700, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1700, "span_end": 1711, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "No valid equation found.", "extraction_type": "internal", "span_start": 1231, "span_end": 1257, "original_span": "No valid equation found."}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1836, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 1836, "span_end": 1847, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2099, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 2099, "span_end": 2110, "original_span": "(21 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(21 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 688, "span_text": "(21 * 17)", "extraction_type": "internal", "span_start": 688, "span_end": 699, "original_span": "(21 * 17)"}]]
[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(17 * 21) + 17", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(21 * 17) - 17", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(21 * 17) - 17", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(17 * 21) - 17", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(21 * 17) - 17", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(21 * 17) - 17", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 21)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found.", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 17)", "final_answer": 357.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "reflect_open": [ 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "sample_open": [ 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 94 and 10 exactly once and combine them using basic arithmetic operations to get the target number 940.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 94 + 10 = 104 \\]\n\nThis resul...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(94 * 10)", "(94 * 10)", "(94 * 10)", "(10 * 94)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)" ]
[{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2452, "span_end": 2463, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2542, "span_end": 2553, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 3121, "span_end": 3132, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 3614, "span_end": 3625, "original_span": "(10 * 94)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 3355, "span_end": 3366, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2510, "span_end": 2521, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2542, "span_end": 2553, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 8, "non_overlapping_spans": 8, "span_start": 5837, "span_end": 5848, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 3270, "span_end": 3281, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 2514, "span_end": 2525, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 1907, "span_end": 1918, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1954, "span_end": 1965, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2394, "span_end": 2405, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 2417, "span_end": 2428, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 3793, "span_end": 3804, "original_span": "(94 * 10)"}, {"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 3443, "span_end": 3454, "original_span": "(94 * 10)"}]
[{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(10 * 94)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}]
[ [ true, true, true, true ], [ true, true, true, true ], [ true, true, true, true, true ], [ true, true, true, true, true, true ], [ false, true, true, true, true ], [ true, true, true, ...
[ [ "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)" ], [ "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)" ], [ "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)" ], [ "(94 * 10)", "(94 * 10)", "(94 * 10)", "(94 * 10)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 914, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 914, "span_end": 925, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2187, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2187, "span_end": 2198, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2452, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2452, "span_end": 2463, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 978, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 978, "span_end": 989, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1586, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1586, "span_end": 1597, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2285, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2285, "span_end": 2296, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2542, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2542, "span_end": 2553, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 914, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 914, "span_end": 925, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1513, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1513, "span_end": 1524, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2224, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2224, "span_end": 2235, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2872, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2872, "span_end": 2883, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3121, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3121, "span_end": 3132, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 914, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 914, "span_end": 925, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1520, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1520, "span_end": 1531, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2154, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2154, "span_end": 2165, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2863, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2863, "span_end": 2874, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3441, "span_text": "(10 * 94)", "extraction_type": "internal", "span_start": 3441, "span_end": 3452, "original_span": "(10 * 94)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3614, "span_text": "(10 * 94)", "extraction_type": "internal", "span_start": 3614, "span_end": 3625, "original_span": "(10 * 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1087, "span_text": "(94 * 10) - 10", "extraction_type": "internal", "span_start": 1087, "span_end": 1103, "original_span": "(94 * 10) - 10"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1705, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1705, "span_end": 1716, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2390, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2390, "span_end": 2401, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3075, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3075, "span_end": 3086, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3355, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3355, "span_end": 3366, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1016, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1016, "span_end": 1027, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2255, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2255, "span_end": 2266, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2510, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2510, "span_end": 2521, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 996, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 996, "span_end": 1007, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1595, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1595, "span_end": 1606, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2285, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2285, "span_end": 2296, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2542, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2542, "span_end": 2553, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 387, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 387, "span_end": 398, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 995, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 995, "span_end": 1006, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1616, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1616, "span_end": 1627, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3371, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3371, "span_end": 3382, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4208, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 4208, "span_end": 4219, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4939, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 4939, "span_end": 4950, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5557, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 5557, "span_end": 5568, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5837, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 5837, "span_end": 5848, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1087, "span_text": "(94 * 10) - 10", "extraction_type": "internal", "span_start": 1087, "span_end": 1103, "original_span": "(94 * 10) - 10"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1704, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1704, "span_end": 1715, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2354, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2354, "span_end": 2365, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2974, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2974, "span_end": 2985, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3270, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3270, "span_end": 3281, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 387, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 387, "span_end": 398, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 991, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 991, "span_end": 1002, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1582, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1582, "span_end": 1593, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2265, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2265, "span_end": 2276, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2514, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2514, "span_end": 2525, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1047, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1047, "span_end": 1058, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1658, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1658, "span_end": 1669, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1907, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1907, "span_end": 1918, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1096, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1096, "span_end": 1107, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1694, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1694, "span_end": 1705, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1954, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1954, "span_end": 1965, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 872, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 872, "span_end": 883, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2152, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2152, "span_end": 2163, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2394, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2394, "span_end": 2405, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 872, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 872, "span_end": 883, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1479, "span_end": 1490, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2145, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2145, "span_end": 2156, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2417, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2417, "span_end": 2428, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 914, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 914, "span_end": 925, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1546, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1546, "span_end": 1557, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2196, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2196, "span_end": 2207, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2874, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2874, "span_end": 2885, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3553, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3553, "span_end": 3564, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3793, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3793, "span_end": 3804, "original_span": "(94 * 10)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 914, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 914, "span_end": 925, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 1521, "span_end": 1532, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2187, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2187, "span_end": 2198, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2774, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 2774, "span_end": 2785, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2962, "span_text": "(94 - 10) * 10", "extraction_type": "internal", "span_start": 2962, "span_end": 2978, "original_span": "(94 - 10) * 10"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3183, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3183, "span_end": 3194, "original_span": "(94 * 10)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3443, "span_text": "(94 * 10)", "extraction_type": "internal", "span_start": 3443, "span_end": 3454, "original_span": "(94 * 10)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(10 * 94)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(10 * 94)", "final_answer": 940.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(94 * 10) - 10", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(94 * 10) - 10", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}], [{"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(94 - 10) * 10", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}, {"is_correct": true, "error": null, "answer_block": "(94 * 10)", "final_answer": 940.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], "flips_total": 1, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1 ], "reflect_close": [ 3, 3, 4, 4, 4, 3, 3, 7, 4, 4, 3, 2, 3, 3, 5, 4 ], "reflect_open": [ 3, 3, 4, 4, 4, 3, 3, 7, 4, 4, 3, 2, 3, 3, 5, 4 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 3, 3, 4, 4, 4, 3, 3, 7, 4, 4, 3, 2, 3, 3, 5, 4 ], "sample_open": [ 3, 3, 4, 4, 4, 3, 3, 7, 4, 4, 3, 2, 3, 3, 5, 4 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 65 and 60 exactly once and combine them using basic arithmetic operations to get the target number 125.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 65 * 60 = 3900\n- This does not equal 125.\n\n**Option 2:**\n- Step 1: 60...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)", "(65 + 60)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 928, "span_end": 939, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1507, "span_end": 1518, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 771, "span_end": 782, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1437, "span_end": 1448, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1412, "span_end": 1423, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 737, "span_end": 748, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1536, "span_end": 1547, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1440, "span_end": 1451, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(65 + 60)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 771, "span_end": 782, "original_span": "(65 + 60)"}]
[{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}]
[ [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true ], ...
[ [ "(65 + 60)", "(65 + 60)" ], [ "(65 + 60)", "(65 + 60)" ], [ "(65 + 60)", "(65 + 60)", "(65 + 60)" ], [ "(65 + 60)", "(65 + 60)" ], [ "(65 + 60)" ], [ "(65 + 60)", "(65 + 60)" ], [ "(65 + 60)", "(65 + 60)", "(65 + 60)" ], [ ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 713, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 713, "span_end": 724, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 928, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 928, "span_end": 939, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1292, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1292, "span_end": 1303, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1507, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1507, "span_end": 1518, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 771, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 771, "span_end": 782, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1222, "span_end": 1233, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1437, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1437, "span_end": 1448, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1197, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1197, "span_end": 1208, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1412, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1412, "span_end": 1423, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1536, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1536, "span_end": 1547, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1225, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1225, "span_end": 1236, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1440, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1440, "span_end": 1451, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(65 + 60)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(65 + 60)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 771, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 771, "span_end": 782, "original_span": "(65 + 60)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0 ], "reflect_close": [ 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1 ], "reflect_open": [ 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1 ], "sample_open": [ 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 89 and 19 exactly once and combine them using basic arithmetic operations to get the target number 108.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 89 + 19 = 108 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)", "(89 + 19)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1488, "span_end": 1499, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1046, "span_end": 1057, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1471, "span_end": 1482, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1638, "span_end": 1649, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1053, "span_end": 1064, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1468, "span_end": 1479, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1486, "span_end": 1497, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1009, "span_end": 1020, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1542, "span_end": 1553, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1713, "span_end": 1724, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1575, "span_end": 1586, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1463, "span_end": 1474, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1685, "span_end": 1696, "original_span": "(89 + 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1105, "span_end": 1116, "original_span": "(89 + 19)"}]
[{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true ], [ ...
[ [ "(89 + 19)", "(89 + 19)", "(89 + 19)" ], [ "(89 + 19)", "(89 + 19)", "(89 + 19)" ], [ "(89 + 19)", "(89 + 19)" ], [ "(89 + 19)", "(89 + 19)", "(89 + 19)" ], [ "(89 + 19)", "(89 + 19)" ], [ "(89 + 19)", "(89 + 19)" ], [ "(89 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1228, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1228, "span_end": 1239, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1488, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1488, "span_end": 1499, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 787, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 787, "span_end": 798, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1046, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1046, "span_end": 1057, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1216, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1216, "span_end": 1227, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1471, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1471, "span_end": 1482, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1423, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1423, "span_end": 1434, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1638, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1638, "span_end": 1649, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 794, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 794, "span_end": 805, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1053, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1053, "span_end": 1064, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1213, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1213, "span_end": 1224, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1468, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1468, "span_end": 1479, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1226, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1226, "span_end": 1237, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 794, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 794, "span_end": 805, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1009, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1009, "span_end": 1020, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1287, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1287, "span_end": 1298, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1713, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1713, "span_end": 1724, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1315, "span_end": 1326, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1575, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1575, "span_end": 1586, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1470, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1470, "span_end": 1481, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1685, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1685, "span_end": 1696, "original_span": "(89 + 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 890, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 890, "span_end": 901, "original_span": "(89 + 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1105, "span_text": "(89 + 19)", "extraction_type": "internal", "span_start": 1105, "span_end": 1116, "original_span": "(89 + 19)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 19)", "final_answer": 108.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ], "reflect_open": [ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ], "sample_open": [ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 52 and 79 exactly once and combine them using basic arithmetic operations to get the target number 131.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 52 + 79 = 131 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(52 + 79)", "(52 + 79)", "(79 + 52)", "(52 + 79)", "(52 + 79)", "(79 + 52)", "(52 + 79)", "(79 + 52)", "(79 + 52)", "(79 + 52)", "(79 + 52)", "(52 + 79)", "(79 + 52)", "(79 + 52)", "(79 + 52)", "(52 + 79)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1581, "span_end": 1592, "original_span": "(52 + 79)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 828, "span_end": 839, "original_span": "(52 + 79)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1418, "span_end": 1429, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(52 + 79)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 812, "span_end": 823, "original_span": "(52 + 79)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1468, "span_end": 1479, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1452, "span_end": 1463, "original_span": "(52 + 79)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1978, "span_end": 1989, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1512, "span_end": 1523, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1532, "span_end": 1543, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(52 + 79)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1544, "span_end": 1555, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1685, "span_end": 1696, "original_span": "(79 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 859, "span_end": 870, "original_span": "(52 + 79)"}]
[{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}]
[ [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(52 + 79)", "(52 + 79)", "(52 + 79)" ], [ "(52 + 79)", "(52 + 79)" ], [ "(52 + 79)", "(79 + 52)", "(79 + 52)" ], [ "(52 + 79)", "(52 + 79)", "(52 + 79)" ], [ "(52 + 79)", "(52 + 79)" ], [ "(52 + 79)", "(79 + 52)", "(79 + 52)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1366, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1366, "span_end": 1377, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1581, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1581, "span_end": 1592, "original_span": "(52 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 613, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 613, "span_end": 624, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 828, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 828, "span_end": 839, "original_span": "(52 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1418, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1418, "span_end": 1429, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(52 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 597, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 597, "span_end": 608, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 812, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 812, "span_end": 823, "original_span": "(52 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1253, "span_end": 1264, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1468, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1468, "span_end": 1479, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1237, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1237, "span_end": 1248, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1452, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1452, "span_end": 1463, "original_span": "(52 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1763, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1763, "span_end": 1774, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1978, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1978, "span_end": 1989, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1297, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1297, "span_end": 1308, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(52 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1329, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1329, "span_end": 1340, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1544, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1544, "span_end": 1555, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1426, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1426, "span_end": 1437, "original_span": "(79 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1685, "span_text": "(79 + 52)", "extraction_type": "internal", "span_start": 1685, "span_end": 1696, "original_span": "(79 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 644, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 644, "span_end": 655, "original_span": "(52 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 859, "span_text": "(52 + 79)", "extraction_type": "internal", "span_start": 859, "span_end": 870, "original_span": "(52 + 79)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 52)", "final_answer": 131.0}], [{"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}, {"is_correct": true, "error": null, "answer_block": "(52 + 79)", "final_answer": 131.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "reflect_open": [ 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "sample_open": [ 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 93 and 66 exactly once and combine them using basic arithmetic operations to get the target number 159.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 93 + 66 = 159 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)", "(93 + 66)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1412, "span_end": 1423, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1459, "span_end": 1470, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 754, "span_end": 765, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1505, "span_end": 1516, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1381, "span_end": 1392, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1418, "span_end": 1429, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 819, "span_end": 830, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1459, "span_end": 1470, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 831, "span_end": 842, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1494, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2101, "span_end": 2112, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1543, "span_end": 1554, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1610, "span_end": 1621, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 934, "span_end": 945, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1621, "span_end": 1632, "original_span": "(93 + 66)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1735, "span_end": 1746, "original_span": "(93 + 66)"}]
[{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}]
[ [ true, true ], [ true, true, true ], [ true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, ...
[ [ "(93 + 66)", "(93 + 66)" ], [ "(93 + 66)", "(93 + 66)", "(93 + 66)" ], [ "(93 + 66)" ], [ "(93 + 66)", "(93 + 66)", "(93 + 66)" ], [ "(93 + 66)", "(93 + 66)", "(93 + 66)" ], [ "(93 + 66)", "(93 + 66)", "(93 + 66)" ], [ "(93 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1197, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1197, "span_end": 1208, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1412, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1412, "span_end": 1423, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1459, "span_end": 1470, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 754, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 754, "span_end": 765, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1290, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1290, "span_end": 1301, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1505, "span_end": 1516, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1166, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1166, "span_end": 1177, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1381, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1381, "span_end": 1392, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1203, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1203, "span_end": 1214, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1418, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1418, "span_end": 1429, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 559, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 559, "span_end": 570, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 819, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 819, "span_end": 830, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1244, "span_end": 1255, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1459, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1459, "span_end": 1470, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 571, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 571, "span_end": 582, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 831, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 831, "span_end": 842, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1483, "span_end": 1494, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1852, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1852, "span_end": 1863, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2101, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 2101, "span_end": 2112, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1328, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1328, "span_end": 1339, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1543, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1543, "span_end": 1554, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1395, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1395, "span_end": 1406, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1610, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1610, "span_end": 1621, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 719, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 719, "span_end": 730, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 934, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 934, "span_end": 945, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1406, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1406, "span_end": 1417, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1621, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1621, "span_end": 1632, "original_span": "(93 + 66)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(93 + 66)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1735, "span_text": "(93 + 66)", "extraction_type": "internal", "span_start": 1735, "span_end": 1746, "original_span": "(93 + 66)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}], [{"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}, {"is_correct": true, "error": null, "answer_block": "(93 + 66)", "final_answer": 159.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1 ], "reflect_close": [ 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2 ], "reflect_open": [ 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2 ], "sample_open": [ 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 89 and 87 exactly once and combine them using basic arithmetic operations to get the target number 176.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 89 * 87 = 7653\n\nThis result is much larger than 176, so this option doe...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)", "(89 + 87)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 801, "span_end": 812, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 977, "span_end": 988, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1566, "span_end": 1577, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1503, "span_end": 1514, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 771, "span_end": 782, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 893, "span_end": 904, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1533, "span_end": 1544, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1565, "span_end": 1576, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1613, "span_end": 1624, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1530, "span_end": 1541, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1506, "span_end": 1517, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1536, "span_end": 1547, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1563, "span_end": 1574, "original_span": "(89 + 87)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 738, "span_end": 749, "original_span": "(89 + 87)"}]
[{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}]
[ [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(89 + 87)", "(89 + 87)" ], [ "(89 + 87)", "(89 + 87)" ], [ "(89 + 87)", "(89 + 87)", "(89 + 87)" ], [ "(89 + 87)", "(89 + 87)", "(89 + 87)" ], [ "(89 + 87)", "(89 + 87)" ], [ "(89 + 87)", "(89 + 87)" ], [ "(89 + 87)", "(89 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 542, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 542, "span_end": 553, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 801, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 801, "span_end": 812, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 762, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 762, "span_end": 773, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 977, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 977, "span_end": 988, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1351, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1351, "span_end": 1362, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1566, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1566, "span_end": 1577, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 771, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 771, "span_end": 782, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 678, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 678, "span_end": 689, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 893, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 893, "span_end": 904, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1533, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1533, "span_end": 1544, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1350, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1350, "span_end": 1361, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1565, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1565, "span_end": 1576, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1398, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1398, "span_end": 1409, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1613, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1613, "span_end": 1624, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1530, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1530, "span_end": 1541, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1246, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1246, "span_end": 1257, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1506, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1506, "span_end": 1517, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1276, "span_end": 1287, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1536, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1536, "span_end": 1547, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1348, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1348, "span_end": 1359, "original_span": "(89 + 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1563, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 1563, "span_end": 1574, "original_span": "(89 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 738, "span_text": "(89 + 87)", "extraction_type": "internal", "span_start": 738, "span_end": 749, "original_span": "(89 + 87)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}], [{"is_correct": true, "error": null, "answer_block": "(89 + 87)", "final_answer": 176.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0 ], "reflect_close": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "reflect_open": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "sample_open": [ 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 73 and 62 exactly once and combine them using basic arithmetic operations to get the target number 135.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 73 + 62 = 135 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)", "(73 + 62)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1558, "span_end": 1569, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1649, "span_end": 1660, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 860, "span_end": 871, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1549, "span_end": 1560, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1656, "span_end": 1667, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1392, "span_end": 1403, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1542, "span_end": 1553, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 773, "span_end": 784, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1548, "span_end": 1559, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1588, "span_end": 1599, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(73 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1517, "span_end": 1528, "original_span": "(73 + 62)"}]
[{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}]
[ [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(73 + 62)", "(73 + 62)" ], [ "(73 + 62)", "(73 + 62)" ], [ "(73 + 62)", "(73 + 62)" ], [ "(73 + 62)", "(73 + 62)", "(73 + 62)" ], [ "(73 + 62)", "(73 + 62)", "(73 + 62)" ], [ "(73 + 62)", "(73 + 62)", "(73 + 62)" ], [ "(73 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1343, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1343, "span_end": 1354, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1558, "span_end": 1569, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1434, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1434, "span_end": 1445, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1649, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1649, "span_end": 1660, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 860, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 860, "span_end": 871, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1334, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1334, "span_end": 1345, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1441, "span_end": 1452, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1656, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1656, "span_end": 1667, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1177, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1177, "span_end": 1188, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1392, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1392, "span_end": 1403, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1327, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1327, "span_end": 1338, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 773, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 773, "span_end": 784, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1333, "span_end": 1344, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1373, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1373, "span_end": 1384, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1588, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1588, "span_end": 1599, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(73 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1302, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1302, "span_end": 1313, "original_span": "(73 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1517, "span_text": "(73 + 62)", "extraction_type": "internal", "span_start": 1517, "span_end": 1528, "original_span": "(73 + 62)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}], [{"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 62)", "final_answer": 135.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1 ], "reflect_close": [ 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2 ], "reflect_open": [ 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2 ], "sample_open": [ 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 17 and 20 exactly once and combine them using basic arithmetic operations to get the target number 340.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 20 * 17 = 340\n\nThis option uses both numbers directly without any opera...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)", "(20 * 17)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1354, "span_end": 1365, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1549, "span_end": 1560, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1342, "span_end": 1353, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1465, "span_end": 1476, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1491, "span_end": 1502, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1503, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1475, "span_end": 1486, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1495, "span_end": 1506, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1487, "span_end": 1498, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1232, "span_end": 1243, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1796, "span_end": 1807, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1329, "span_end": 1340, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1570, "span_end": 1581, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1474, "span_end": 1485, "original_span": "(20 * 17)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1247, "span_end": 1258, "original_span": "(20 * 17)"}]
[{"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(20 * 17)", "(20 * 17)", "(20 * 17)" ], [ "(17 * 20)", "(20 * 17)", "(20 * 17)" ], [ "(17 * 20)", "(20 * 17)", "(20 * 17)" ], [ "(20 * 17)", "(20 * 17)", "(20 * 17)" ], [ "(17 * 20)", "(20 * 17)", "(20 * 17)" ], [ "(17 * 20)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1139, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1139, "span_end": 1150, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1354, "span_end": 1365, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1127, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1127, "span_end": 1138, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1342, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1342, "span_end": 1353, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 660, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 660, "span_end": 671, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1250, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1250, "span_end": 1261, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1465, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1465, "span_end": 1476, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 673, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 673, "span_end": 684, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1276, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1276, "span_end": 1287, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1491, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1491, "span_end": 1502, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 661, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 661, "span_end": 672, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1260, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1260, "span_end": 1271, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 673, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 673, "span_end": 684, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1272, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1272, "span_end": 1283, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1487, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1487, "span_end": 1498, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 426, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 426, "span_end": 437, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1017, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1017, "span_end": 1028, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1232, "span_end": 1243, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 949, "span_text": "((20 - 17) * 17)", "extraction_type": "internal", "span_start": 949, "span_end": 967, "original_span": "((20 - 17) * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1581, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1581, "span_end": 1592, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1796, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1796, "span_end": 1807, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 409, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 409, "span_end": 420, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1041, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1041, "span_end": 1052, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1329, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1329, "span_end": 1340, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1282, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1282, "span_end": 1293, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1570, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1570, "span_end": 1581, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(17 * 20)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(17 * 20)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1259, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1259, "span_end": 1270, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1474, "span_end": 1485, "original_span": "(20 * 17)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1032, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1032, "span_end": 1043, "original_span": "(20 * 17)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1247, "span_text": "(20 * 17)", "extraction_type": "internal", "span_start": 1247, "span_end": 1258, "original_span": "(20 * 17)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((20 - 17) * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}], [{"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}, {"is_correct": true, "error": null, "answer_block": "(20 * 17)", "final_answer": 340.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 14 and 96 exactly once and combine them using basic arithmetic operations to get the target number 110.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 14 + 96 = 110 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(14 + 96)", "(96 + 14)", "(14 + 96)", "(96 + 14)", "(14 + 96)", "(14 + 96)", "(14 + 96)", "(96 + 14)", "(96 + 14)", "(14 + 96)", "(14 + 96)", "(14 + 96)", "(14 + 96)", "(14 + 96)", "(14 + 96)", "(14 + 96)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1700, "span_end": 1711, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1537, "span_end": 1548, "original_span": "(96 + 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1561, "span_end": 1572, "original_span": "(96 + 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1426, "span_end": 1437, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1648, "span_end": 1659, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1549, "span_end": 1560, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1420, "span_end": 1431, "original_span": "(96 + 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1438, "span_end": 1449, "original_span": "(96 + 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1548, "span_end": 1559, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1359, "span_end": 1370, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1329, "span_end": 1340, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1433, "span_end": 1444, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1519, "span_end": 1530, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1613, "span_end": 1624, "original_span": "(14 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1583, "span_end": 1594, "original_span": "(14 + 96)"}]
[{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(14 + 96)", "(14 + 96)", "(14 + 96)" ], [ "(14 + 96)", "(96 + 14)", "(96 + 14)" ], [ "(14 + 96)", "(14 + 96)", "(14 + 96)" ], [ "(14 + 96)", "(96 + 14)", "(96 + 14)" ], [ "(14 + 96)", "(14 + 96)", "(14 + 96)" ], [ "(14 + 96)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1700, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1700, "span_end": 1711, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(96 + 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1537, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1537, "span_end": 1548, "original_span": "(96 + 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1346, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1346, "span_end": 1357, "original_span": "(96 + 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1561, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1561, "span_end": 1572, "original_span": "(96 + 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1211, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1211, "span_end": 1222, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1426, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1426, "span_end": 1437, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1433, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1433, "span_end": 1444, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1648, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1648, "span_end": 1659, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1334, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1334, "span_end": 1345, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1549, "span_end": 1560, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1205, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1205, "span_end": 1216, "original_span": "(96 + 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1420, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1420, "span_end": 1431, "original_span": "(96 + 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(96 + 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1438, "span_text": "(96 + 14)", "extraction_type": "internal", "span_start": 1438, "span_end": 1449, "original_span": "(96 + 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1333, "span_end": 1344, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1144, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1144, "span_end": 1155, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1359, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1359, "span_end": 1370, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1114, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1114, "span_end": 1125, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1329, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1329, "span_end": 1340, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1218, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1218, "span_end": 1229, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1433, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1433, "span_end": 1444, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1304, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1304, "span_end": 1315, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1519, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1519, "span_end": 1530, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1398, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1398, "span_end": 1409, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1613, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1613, "span_end": 1624, "original_span": "(14 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1368, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1368, "span_end": 1379, "original_span": "(14 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1583, "span_text": "(14 + 96)", "extraction_type": "internal", "span_start": 1583, "span_end": 1594, "original_span": "(14 + 96)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 14)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}], [{"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(14 + 96)", "final_answer": 110.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 65 and 52 exactly once and combine them using basic arithmetic operations to get the target number 117.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 65 + 52 = 117 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)", "(65 + 52)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1400, "span_end": 1411, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1599, "span_end": 1610, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1455, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1710, "span_end": 1721, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 861, "span_end": 872, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1479, "span_end": 1490, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 2215, "span_end": 2226, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1577, "span_end": 1588, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1498, "span_end": 1509, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1578, "span_end": 1589, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 773, "span_end": 784, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1509, "span_end": 1520, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1539, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1583, "span_end": 1594, "original_span": "(65 + 52)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1477, "span_end": 1488, "original_span": "(65 + 52)"}]
[{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ...
[ [ "(65 + 52)", "(65 + 52)", "(65 + 52)" ], [ "(65 + 52)", "(65 + 52)", "(65 + 52)" ], [ "(65 + 52)", "(65 + 52)", "(65 + 52)" ], [ "(65 + 52)", "(65 + 52)", "(65 + 52)" ], [ "(65 + 52)", "(65 + 52)" ], [ "(65 + 52)", "(65 + 52)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1185, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1185, "span_end": 1196, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1400, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1400, "span_end": 1411, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1339, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1339, "span_end": 1350, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1599, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1599, "span_end": 1610, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1229, "span_end": 1240, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1444, "span_end": 1455, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1710, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1710, "span_end": 1721, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 649, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 649, "span_end": 660, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 861, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 861, "span_end": 872, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1264, "span_end": 1275, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1479, "span_end": 1490, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1956, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1956, "span_end": 1967, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2215, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 2215, "span_end": 2226, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1362, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1362, "span_end": 1373, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1577, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1577, "span_end": 1588, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1363, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1363, "span_end": 1374, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1578, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1578, "span_end": 1589, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 773, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 773, "span_end": 784, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1249, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1249, "span_end": 1260, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1509, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1509, "span_end": 1520, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1313, "span_end": 1324, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1528, "span_end": 1539, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1323, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1323, "span_end": 1334, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1583, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1583, "span_end": 1594, "original_span": "(65 + 52)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1262, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1262, "span_end": 1273, "original_span": "(65 + 52)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(65 + 52)", "extraction_type": "internal", "span_start": 1477, "span_end": 1488, "original_span": "(65 + 52)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}], [{"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "(65 + 52)", "final_answer": 117.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 3 and 87 exactly once and combine them using basic arithmetic operations to get the target number 261.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding 87 to 3.\n\\[ 87 + 3 = 90 \\]\n\nThis result is not close to 26...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)", "(87 * 3)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1453, "span_end": 1463, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1456, "span_end": 1466, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1456, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1435, "span_end": 1445, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1458, "span_end": 1468, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1444, "span_end": 1454, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1433, "span_end": 1443, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1443, "span_end": 1453, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1437, "span_end": 1447, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1442, "span_end": 1452, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1447, "span_end": 1457, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1427, "span_end": 1437, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1382, "span_end": 1392, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1479, "span_end": 1489, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1456, "original_span": "(87 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1466, "span_end": 1476, "original_span": "(87 * 3)"}]
[{"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(3 * 87)", "(87 * 3)", "(87 * 3)" ], [ "(3 * 87)", "(87 * 3)", "(87 * 3)" ], [ "(3 * 87)", "(87 * 3)", "(87 * 3)" ], [ "(3 * 87)", "(87 * 3)", "(87 * 3)" ], [ "(3 * 87)", "(87 * 3)", "(87 * 3)" ], [ "(3 * 87)", "(87 * 3)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1240, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1240, "span_end": 1250, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1453, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1453, "span_end": 1463, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1243, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1243, "span_end": 1253, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1456, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1456, "span_end": 1466, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1233, "span_end": 1243, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1446, "span_end": 1456, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1222, "span_end": 1232, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1435, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1435, "span_end": 1445, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1245, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1245, "span_end": 1255, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1458, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1458, "span_end": 1468, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1231, "span_end": 1241, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1444, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1444, "span_end": 1454, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1220, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1220, "span_end": 1230, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1433, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1433, "span_end": 1443, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1230, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1230, "span_end": 1240, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1443, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1443, "span_end": 1453, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1224, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1224, "span_end": 1234, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1437, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1437, "span_end": 1447, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1229, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1229, "span_end": 1239, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1442, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1442, "span_end": 1452, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1234, "span_end": 1244, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1447, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1447, "span_end": 1457, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1214, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1214, "span_end": 1224, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1427, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1427, "span_end": 1437, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1169, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1169, "span_end": 1179, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1382, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1382, "span_end": 1392, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 630, "span_end": 640, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1222, "span_end": 1232, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1479, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1479, "span_end": 1489, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1233, "span_end": 1243, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1446, "span_end": 1456, "original_span": "(87 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 634, "span_text": "(3 * 87)", "extraction_type": "internal", "span_start": 634, "span_end": 644, "original_span": "(3 * 87)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1253, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1253, "span_end": 1263, "original_span": "(87 * 3)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1466, "span_text": "(87 * 3)", "extraction_type": "internal", "span_start": 1466, "span_end": 1476, "original_span": "(87 * 3)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}], [{"is_correct": true, "error": null, "answer_block": "(3 * 87)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "(87 * 3)", "final_answer": 261.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 70 and 64 exactly once and combine them using basic arithmetic operations to get the target number 134.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 70 + 64 = 134 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)", "(70 + 64)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1557, "span_end": 1568, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1530, "span_end": 1541, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1602, "span_end": 1613, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1577, "span_end": 1588, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1577, "span_end": 1588, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 846, "span_end": 857, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1497, "span_end": 1508, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 738, "span_end": 749, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1591, "span_end": 1602, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1462, "span_end": 1473, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1542, "span_end": 1553, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1537, "span_end": 1548, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 720, "span_end": 731, "original_span": "(70 + 64)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 853, "span_end": 864, "original_span": "(70 + 64)"}]
[{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}]
[ [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true ], [ true, true, true ], [ true ], [ ...
[ [ "(70 + 64)", "(70 + 64)", "(70 + 64)" ], [ "(70 + 64)", "(70 + 64)" ], [ "(70 + 64)", "(70 + 64)" ], [ "(70 + 64)", "(70 + 64)" ], [ "(70 + 64)", "(70 + 64)", "(70 + 64)" ], [ "(70 + 64)", "(70 + 64)", "(70 + 64)" ], [ "(70 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1342, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1342, "span_end": 1353, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1557, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1557, "span_end": 1568, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1315, "span_end": 1326, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1530, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1530, "span_end": 1541, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1347, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1347, "span_end": 1358, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1602, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1602, "span_end": 1613, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1329, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1329, "span_end": 1340, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1577, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1577, "span_end": 1588, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1577, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1577, "span_end": 1588, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 846, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 846, "span_end": 857, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1282, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1282, "span_end": 1293, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1497, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1497, "span_end": 1508, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 738, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 738, "span_end": 749, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1331, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1331, "span_end": 1342, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1591, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1591, "span_end": 1602, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1247, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1247, "span_end": 1258, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1462, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1462, "span_end": 1473, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1327, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1327, "span_end": 1338, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1542, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1542, "span_end": 1553, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1322, "span_end": 1333, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1537, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 1537, "span_end": 1548, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(70 + 64)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 720, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 720, "span_end": 731, "original_span": "(70 + 64)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 853, "span_text": "(70 + 64)", "extraction_type": "internal", "span_start": 853, "span_end": 864, "original_span": "(70 + 64)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}], [{"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 ], "reflect_close": [ 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1 ], "reflect_open": [ 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1 ], "sample_open": [ 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 7 and 90 exactly once and combine them using basic arithmetic operations to get the target number 630.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding 90 and 7.\n\\[ 90 + 7 = 97 \\]\n\nThis result is not close to 6...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)", "(90 * 7)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1504, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1441, "span_end": 1451, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1445, "span_end": 1455, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1435, "span_end": 1445, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1457, "span_end": 1467, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1483, "span_end": 1493, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1487, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1504, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1521, "span_end": 1531, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1457, "span_end": 1467, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1478, "span_end": 1488, "original_span": "(90 * 7)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1446, "span_end": 1456, "original_span": "(90 * 7)"}]
[{"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(7 * 90)", "(90 * 7)", "(90 * 7)" ], [ "(7 * 90)", "(90 * 7)", "(90 * 7)" ], [ "(7 * 90)", "(90 * 7)", "(90 * 7)" ], [ "(7 * 90)", "(90 * 7)", "(90 * 7)" ], [ "(7 * 90)", "(90 * 7)", "(90 * 7)" ], [ "(7 * 90)", "(90 * 7)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1231, "span_end": 1241, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1494, "span_end": 1504, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1228, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1228, "span_end": 1238, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1441, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1441, "span_end": 1451, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1232, "span_end": 1242, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1445, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1445, "span_end": 1455, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1241, "span_end": 1251, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1454, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1222, "span_end": 1232, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1435, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1435, "span_end": 1445, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1241, "span_end": 1251, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1454, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1244, "span_end": 1254, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1457, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1457, "span_end": 1467, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1232, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1232, "span_end": 1242, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1483, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1483, "span_end": 1493, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1241, "span_end": 1251, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1454, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1241, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1241, "span_end": 1251, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1454, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1454, "span_end": 1464, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1264, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1264, "span_end": 1274, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1477, "span_end": 1487, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1231, "span_end": 1241, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1494, "span_end": 1504, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1231, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1231, "span_end": 1241, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1521, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1521, "span_end": 1531, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1244, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1244, "span_end": 1254, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1457, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1457, "span_end": 1467, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1265, "span_end": 1275, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1478, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1478, "span_end": 1488, "original_span": "(90 * 7)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 632, "span_text": "(7 * 90)", "extraction_type": "internal", "span_start": 632, "span_end": 642, "original_span": "(7 * 90)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1233, "span_end": 1243, "original_span": "(90 * 7)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(90 * 7)", "extraction_type": "internal", "span_start": 1446, "span_end": 1456, "original_span": "(90 * 7)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}], [{"is_correct": true, "error": null, "answer_block": "(7 * 90)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}, {"is_correct": true, "error": null, "answer_block": "(90 * 7)", "final_answer": 630.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 19 and 44 exactly once and combine them using basic arithmetic operations to get the target number 836.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 44 * 19 = 836\n\nThis option uses both numbers directly without any opera...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(44 * 19)", "(44 * 19)", "(44 * 19)", "(44 * 19)", "(44 * 19)", "(44 * 19)", "(44 * 19)", "(44 * 19)", "(44 * 19)", "(19 * 44)", "(44 * 19)", "(44 * 19)", "(19 * 44)", "(44 * 19)", "(44 * 19)", "(44 * 19)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1818, "span_end": 1829, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1503, "span_end": 1514, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1644, "span_end": 1655, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 732, "span_end": 743, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 732, "span_end": 743, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1907, "span_end": 1918, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1727, "span_end": 1738, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1504, "span_end": 1515, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 972, "span_end": 983, "original_span": "(19 * 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2061, "span_end": 2072, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1673, "span_end": 1684, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 963, "span_end": 974, "original_span": "(19 * 44)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1494, "span_end": 1505, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1836, "span_end": 1847, "original_span": "(44 * 19)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1678, "span_end": 1689, "original_span": "(44 * 19)"}]
[{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(19 * 44)", "(44 * 19)", "(44 * 19)" ], [ "(19 * 44)", "(44 * 19)", "(44 * 19)" ], [ "(19 * 44)", "(44 * 19)", "(44 * 19)" ], [ "(19 * 44)", "(44 * 19)", "(44 * 19)" ], [ "(44 * 19)", "(44 * 19)" ], [ "(44 * 19)", "(44 * 19)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 971, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 971, "span_end": 982, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1558, "span_end": 1569, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1818, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1818, "span_end": 1829, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 823, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 823, "span_end": 834, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1429, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1429, "span_end": 1440, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1644, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1644, "span_end": 1655, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 732, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 732, "span_end": 743, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 473, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 473, "span_end": 484, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 732, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 732, "span_end": 743, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1091, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1091, "span_end": 1102, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1692, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1692, "span_end": 1703, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1907, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1907, "span_end": 1918, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 899, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 899, "span_end": 910, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1512, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1512, "span_end": 1523, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1727, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1727, "span_end": 1738, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1289, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1289, "span_end": 1300, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1504, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1504, "span_end": 1515, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 712, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 712, "span_end": 723, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 972, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 972, "span_end": 983, "original_span": "(19 * 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1148, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1148, "span_end": 1159, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1765, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1765, "span_end": 1776, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2061, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 2061, "span_end": 2072, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 823, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 823, "span_end": 834, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1424, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1424, "span_end": 1435, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1673, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1673, "span_end": 1684, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 703, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 703, "span_end": 714, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 963, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 963, "span_end": 974, "original_span": "(19 * 44)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(19 * 44)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(19 * 44)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1279, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1279, "span_end": 1290, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1494, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1494, "span_end": 1505, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 899, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 899, "span_end": 910, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1548, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1548, "span_end": 1559, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1836, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1836, "span_end": 1847, "original_span": "(44 * 19)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 852, "span_text": "(44 - 19) * 34", "extraction_type": "internal", "span_start": 852, "span_end": 868, "original_span": "(44 - 19) * 34"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1463, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1463, "span_end": 1474, "original_span": "(44 * 19)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1678, "span_text": "(44 * 19)", "extraction_type": "internal", "span_start": 1678, "span_end": 1689, "original_span": "(44 * 19)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(19 * 44)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(44 - 19) * 34", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}, {"is_correct": true, "error": null, "answer_block": "(44 * 19)", "final_answer": 836.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 61 and 97 exactly once and combine them using basic arithmetic operations to get the target number 158.\n\nLet's explore different combinations:\n\n**Option 1:** \n- Step 1: 97 * 61 = 5807\n\nThis result is much larger than 158, so this option do...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(97 + 61)", "(61 + 97)", "(61 + 97)", "(61 + 97)", "(61 + 97)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1021, "span_end": 1032, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1507, "span_end": 1518, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 915, "span_end": 926, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 770, "span_end": 781, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1212, "span_end": 1223, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1495, "span_end": 1506, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1540, "span_end": 1551, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1349, "span_end": 1360, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1337, "span_end": 1348, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1583, "span_end": 1594, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 721, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1569, "span_end": 1580, "original_span": "(97 + 61)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1706, "span_end": 1717, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1189, "span_end": 1200, "original_span": "(61 + 97)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 997, "span_end": 1008, "original_span": "(61 + 97)"}]
[{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 61)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}]
[ [ true, true ], [ true, true, true ], [ true, true ], [ true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true ], [ true, true, true ]...
[ [ "(61 + 97)", "(61 + 97)" ], [ "(61 + 97)", "(61 + 97)", "(61 + 97)" ], [ "(61 + 97)", "(61 + 97)" ], [ "(61 + 97)", "(61 + 97)" ], [ "(61 + 97)", "(61 + 97)" ], [ "(61 + 97)", "(61 + 97)", "(61 + 97)" ], [ "(61 + 97)", "(61 + ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 806, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 806, "span_end": 817, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1021, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1021, "span_end": 1032, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1247, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1247, "span_end": 1258, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1507, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1507, "span_end": 1518, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 655, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 655, "span_end": 666, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 915, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 915, "span_end": 926, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 511, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 511, "span_end": 522, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 770, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 770, "span_end": 781, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 997, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 997, "span_end": 1008, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1212, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1212, "span_end": 1223, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1280, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1280, "span_end": 1291, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1495, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1495, "span_end": 1506, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1325, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1325, "span_end": 1336, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1540, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1540, "span_end": 1551, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1134, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1134, "span_end": 1145, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1122, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1122, "span_end": 1133, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1337, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1337, "span_end": 1348, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1368, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1368, "span_end": 1379, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1583, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1583, "span_end": 1594, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 710, "span_end": 721, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1309, "span_text": "(97 + 61)", "extraction_type": "internal", "span_start": 1309, "span_end": 1320, "original_span": "(97 + 61)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1569, "span_text": "(97 + 61)", "extraction_type": "internal", "span_start": 1569, "span_end": 1580, "original_span": "(97 + 61)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 461, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 461, "span_end": 472, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1446, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1446, "span_end": 1457, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1706, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1706, "span_end": 1717, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 974, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 974, "span_end": 985, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1189, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 1189, "span_end": 1200, "original_span": "(61 + 97)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(61 + 97)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 997, "span_text": "(61 + 97)", "extraction_type": "internal", "span_start": 997, "span_end": 1008, "original_span": "(61 + 97)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 61)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(97 + 61)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}], [{"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}, {"is_correct": true, "error": null, "answer_block": "(61 + 97)", "final_answer": 158.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0 ], "reflect_close": [ 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1 ], "reflect_open": [ 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1 ], "sample_open": [ 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 79 and 92 exactly once and combine them using basic arithmetic operations to get the target number 171.\n\nLet's explore different combinations:\n\n**Option 1:**\n- Step 1: 92 * 79 = 7268\n\nThis result is much larger than 171, so this option doe...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(79 + 92)", "(79 + 92)", "(92 + 79)", "(92 + 79)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)", "(79 + 92)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 951, "span_end": 962, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1734, "span_end": 1745, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1561, "span_end": 1572, "original_span": "(92 + 79)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1497, "span_end": 1508, "original_span": "(92 + 79)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1511, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1472, "span_end": 1483, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1532, "span_end": 1543, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1519, "span_end": 1530, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1389, "span_end": 1400, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1550, "span_end": 1561, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1486, "span_end": 1497, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1630, "span_end": 1641, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1392, "span_end": 1403, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1488, "original_span": "(79 + 92)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1449, "span_end": 1460, "original_span": "(79 + 92)"}]
[{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 79)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 79)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}]
[ [ true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ...
[ [ "(79 + 92)", "(79 + 92)" ], [ "(79 + 92)", "(79 + 92)" ], [ "(79 + 92)", "(92 + 79)", "(92 + 79)" ], [ "(79 + 92)", "(92 + 79)", "(92 + 79)" ], [ "(79 + 92)", "(79 + 92)", "(79 + 92)" ], [ "(79 + 92)", "(79 + 92)", "(79 + 92)" ]...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 736, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 736, "span_end": 747, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 951, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 951, "span_end": 962, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1519, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1519, "span_end": 1530, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1734, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1734, "span_end": 1745, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1346, "span_text": "(92 + 79)", "extraction_type": "internal", "span_start": 1346, "span_end": 1357, "original_span": "(92 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1561, "span_text": "(92 + 79)", "extraction_type": "internal", "span_start": 1561, "span_end": 1572, "original_span": "(92 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1282, "span_text": "(92 + 79)", "extraction_type": "internal", "span_start": 1282, "span_end": 1293, "original_span": "(92 + 79)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1497, "span_text": "(92 + 79)", "extraction_type": "internal", "span_start": 1497, "span_end": 1508, "original_span": "(92 + 79)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1240, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1240, "span_end": 1251, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1223, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1223, "span_end": 1234, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1472, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1472, "span_end": 1483, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1317, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1317, "span_end": 1328, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1304, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1304, "span_end": 1315, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1519, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1519, "span_end": 1530, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1174, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1174, "span_end": 1185, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1389, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1389, "span_end": 1400, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1335, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1335, "span_end": 1346, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1550, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1550, "span_end": 1561, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1271, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1271, "span_end": 1282, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1486, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1486, "span_end": 1497, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1370, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1370, "span_end": 1381, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1630, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1630, "span_end": 1641, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1177, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1177, "span_end": 1188, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1392, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1392, "span_end": 1403, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1222, "span_end": 1233, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1477, "span_end": 1488, "original_span": "(79 + 92)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1234, "span_end": 1245, "original_span": "(79 + 92)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1449, "span_text": "(79 + 92)", "extraction_type": "internal", "span_start": 1449, "span_end": 1460, "original_span": "(79 + 92)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 79)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 79)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 79)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(92 + 79)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}], [{"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 92)", "final_answer": 171.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "reflect_close": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflect_open": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "sample_open": [ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 14 and 21 exactly once and combine them using basic arithmetic operations to get the target number 294.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 14 + 21 = 35 \\]\n\nThis result...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)", "(21 * 14)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1532, "span_end": 1543, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1313, "span_end": 1324, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1484, "span_end": 1495, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1511, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1485, "span_end": 1496, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1448, "span_end": 1459, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1517, "span_end": 1528, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1449, "span_end": 1460, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1326, "span_end": 1337, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1500, "span_end": 1511, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 688, "span_end": 699, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1333, "span_end": 1344, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1490, "span_end": 1501, "original_span": "(21 * 14)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1528, "span_end": 1539, "original_span": "(21 * 14)"}]
[{"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, ...
[ [ "(14 * 21)", "(21 * 14)", "(21 * 14)" ], [ "(21 * 14)", "(21 * 14)", "(21 * 14)" ], [ "(14 * 21)", "(21 * 14)", "(21 * 14)" ], [ "(14 * 21)", "(21 * 14)", "(21 * 14)" ], [ "(14 * 21)", "(21 * 14)", "(21 * 14)" ], [ "(14 * 21)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1273, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1273, "span_end": 1284, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1532, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1532, "span_end": 1543, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1049, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1049, "span_end": 1060, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1313, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1313, "span_end": 1324, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 665, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 665, "span_end": 676, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1484, "span_end": 1495, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1285, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1285, "span_end": 1296, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 669, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 669, "span_end": 680, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1270, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1270, "span_end": 1281, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1485, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1485, "span_end": 1496, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 636, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 636, "span_end": 647, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1233, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1233, "span_end": 1244, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1448, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1448, "span_end": 1459, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 657, "span_end": 668, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1254, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1254, "span_end": 1265, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1517, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1517, "span_end": 1528, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 636, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 636, "span_end": 647, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1234, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1234, "span_end": 1245, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1449, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1449, "span_end": 1460, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 412, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 412, "span_end": 423, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1063, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1063, "span_end": 1074, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1326, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1326, "span_end": 1337, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 657, "span_end": 668, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1252, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1252, "span_end": 1263, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1500, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1500, "span_end": 1511, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 688, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 688, "span_end": 699, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 429, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 429, "span_end": 440, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1069, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1069, "span_end": 1080, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1333, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1333, "span_end": 1344, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 657, "span_end": 668, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1275, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1275, "span_end": 1286, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1490, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1490, "span_end": 1501, "original_span": "(21 * 14)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 666, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 666, "span_end": 677, "original_span": "(14 * 21)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1269, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1269, "span_end": 1280, "original_span": "(21 * 14)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1528, "span_text": "(21 * 14)", "extraction_type": "internal", "span_start": 1528, "span_end": 1539, "original_span": "(21 * 14)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}], [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}, {"is_correct": true, "error": null, "answer_block": "(21 * 14)", "final_answer": 294.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 43 and 62 exactly once and combine them using basic arithmetic operations to get the target number 105.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 43 + 62 = 105 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(62 + 43)", "(62 + 43)", "(62 + 43)", "(62 + 43)", "(62 + 43)", "(62 + 43)", "(62 + 43)", "(62 + 43)", "(43 + 62)", "(43 + 62)", "(43 + 62)", "(43 + 62)", "(62 + 43)", "(43 + 62)", "(43 + 62)", "(62 + 43)" ]
[{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1493, "span_end": 1504, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1564, "span_end": 1575, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1480, "span_end": 1491, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1474, "span_end": 1485, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1498, "span_end": 1509, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1523, "span_end": 1534, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 808, "span_end": 819, "original_span": "(43 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 740, "span_end": 751, "original_span": "(43 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 790, "span_end": 801, "original_span": "(43 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 952, "span_end": 963, "original_span": "(43 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1400, "span_end": 1411, "original_span": "(62 + 43)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1586, "span_end": 1597, "original_span": "(43 + 62)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1766, "span_end": 1777, "original_span": "(43 + 62)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1417, "span_end": 1428, "original_span": "(62 + 43)"}]
[{"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}]
[ [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ...
[ [ "(62 + 43)", "(62 + 43)" ], [ "(43 + 62)", "(62 + 43)", "(62 + 43)" ], [ "(43 + 62)", "(62 + 43)", "(62 + 43)" ], [ "(43 + 62)", "(62 + 43)", "(62 + 43)" ], [ "(43 + 62)", "(62 + 43)", "(62 + 43)" ], [ "(43 + 62)", "(62 + 43)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1278, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1278, "span_end": 1289, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1493, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1493, "span_end": 1504, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1349, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1349, "span_end": 1360, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1564, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1564, "span_end": 1575, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1265, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1265, "span_end": 1276, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1480, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1480, "span_end": 1491, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1259, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1259, "span_end": 1270, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1474, "span_end": 1485, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1283, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1283, "span_end": 1294, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1498, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1498, "span_end": 1509, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1308, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1308, "span_end": 1319, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1523, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1523, "span_end": 1534, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 593, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 593, "span_end": 604, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 808, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 808, "span_end": 819, "original_span": "(43 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 481, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 481, "span_end": 492, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 740, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 740, "span_end": 751, "original_span": "(43 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 575, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 575, "span_end": 586, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 790, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 790, "span_end": 801, "original_span": "(43 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 737, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 737, "span_end": 748, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 952, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 952, "span_end": 963, "original_span": "(43 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1185, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1185, "span_end": 1196, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1400, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1400, "span_end": 1411, "original_span": "(62 + 43)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1371, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 1371, "span_end": 1382, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1586, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 1586, "span_end": 1597, "original_span": "(43 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1507, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 1507, "span_end": 1518, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1766, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 1766, "span_end": 1777, "original_span": "(43 + 62)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(43 + 62)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(43 + 62)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1202, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1202, "span_end": 1213, "original_span": "(62 + 43)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1417, "span_text": "(62 + 43)", "extraction_type": "internal", "span_start": 1417, "span_end": 1428, "original_span": "(62 + 43)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}], [{"is_correct": true, "error": null, "answer_block": "(43 + 62)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 43)", "final_answer": 105.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
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 be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
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
[ "<think>\n<sample>\nTo solve this problem, we need to use the numbers 69 and 96 exactly once and combine them using basic arithmetic operations to get the target number 165.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding the two numbers together.\n\\[ 69 + 96 = 165 \\]\n\nThis equat...
[ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "" ]
{"api_url": "http://127.0.0.1:36731/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/TAUR-dev/M-0918__random_3args_grpo-rl", "prompt": [{"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 (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 16}
[ true, true, true, true, true, true, true, true, true, true, true, true, true, true, true, true ]
[ "(69 + 96)", "(69 + 96)", "(69 + 96)", "(69 + 96)", "(96 + 69)", "(69 + 96)", "(69 + 96)", "(69 + 96)", "(69 + 96)", "(96 + 69)", "(69 + 96)", "(69 + 96)", "(69 + 96)", "(69 + 96)", "(69 + 96)", "(69 + 96)" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1553, "span_end": 1564, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1372, "span_end": 1383, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1492, "span_end": 1503, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 840, "span_end": 851, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2024, "span_end": 2035, "original_span": "(96 + 69)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1503, "span_end": 1514, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1415, "span_end": 1426, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1477, "span_end": 1488, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1520, "span_end": 1531, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1474, "span_end": 1485, "original_span": "(96 + 69)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 799, "span_end": 810, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1427, "span_end": 1438, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1582, "span_end": 1593, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1482, "span_end": 1493, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1526, "span_end": 1537, "original_span": "(69 + 96)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 1354, "span_end": 1365, "original_span": "(69 + 96)"}]
[{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 69)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 69)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}]
[ [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, true ], [ true, true, ...
[ [ "(69 + 96)", "(69 + 96)", "(69 + 96)" ], [ "(69 + 96)", "(69 + 96)", "(69 + 96)" ], [ "(69 + 96)", "(69 + 96)", "(69 + 96)" ], [ "(69 + 96)", "(69 + 96)" ], [ "(69 + 96)", "(96 + 69)", "(96 + 69)" ], [ "(69 + 96)", "(69 + 96)", ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1338, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1338, "span_end": 1349, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1553, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1553, "span_end": 1564, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1157, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1157, "span_end": 1168, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1372, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1372, "span_end": 1383, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1277, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1277, "span_end": 1288, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1492, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1492, "span_end": 1503, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 625, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 625, "span_end": 636, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 840, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 840, "span_end": 851, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1809, "span_text": "(96 + 69)", "extraction_type": "internal", "span_start": 1809, "span_end": 1820, "original_span": "(96 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2024, "span_text": "(96 + 69)", "extraction_type": "internal", "span_start": 2024, "span_end": 2035, "original_span": "(96 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1288, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1288, "span_end": 1299, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1503, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1503, "span_end": 1514, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1200, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1200, "span_end": 1211, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1415, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1415, "span_end": 1426, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1218, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1218, "span_end": 1229, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1477, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1477, "span_end": 1488, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1305, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1305, "span_end": 1316, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1520, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1520, "span_end": 1531, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1259, "span_text": "(96 + 69)", "extraction_type": "internal", "span_start": 1259, "span_end": 1270, "original_span": "(96 + 69)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1474, "span_text": "(96 + 69)", "extraction_type": "internal", "span_start": 1474, "span_end": 1485, "original_span": "(96 + 69)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 584, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 584, "span_end": 595, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 799, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 799, "span_end": 810, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1212, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1212, "span_end": 1223, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1427, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1427, "span_end": 1438, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1367, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1367, "span_end": 1378, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1582, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1582, "span_end": 1593, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1267, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1267, "span_end": 1278, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1482, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1482, "span_end": 1493, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 505, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 505, "span_end": 516, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1311, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1311, "span_end": 1322, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1526, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1526, "span_end": 1537, "original_span": "(69 + 96)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 448, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 448, "span_end": 459, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1139, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1139, "span_end": 1150, "original_span": "(69 + 96)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1354, "span_text": "(69 + 96)", "extraction_type": "internal", "span_start": 1354, "span_end": 1365, "original_span": "(69 + 96)"}]]
[[{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 69)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 69)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 69)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 69)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}], [{"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}, {"is_correct": true, "error": null, "answer_block": "(69 + 96)", "final_answer": 165.0}]]
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 16, "pass_at_n": 1, "percent_correct": 1, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], "reflect_close": [ 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "reflect_open": [ 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "sample_open": [ 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 16 }
2025-09-21