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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 [56, 22, 98, 71], create an equation that equals 853. You can use basic arithmetic operations (+, -, *, /) and each number c... | 22*(98 - 56) - 71 | countdown_4arg | countdown | [
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"<think>\n<sample>\nTo solve this problem, we need to use the numbers 56, 22, 98, and 71 exactly once and combine them using basic arithmetic operations to get the target number 853.\n\nLet's explore different combinations:\n\n**Step 1:** First, let's try adding all four numbers together.\n\\[ 56 + 22 + 98 + 71 = 2... | [
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"(56 + 98) * 22 - 71",
"(98 - 56) * 22 - 71",
"(98 * 71) - 56",
"(56 + 22) * 98 - 71"
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"(98 * (56 - 22)) + 71",
"(98 - 22) * 56",
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"(56 + 98) * 22 - 71"
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"Not possible",
"(98 - 56) * 22 - 71",
"(98 - 56) * 22 - 71"
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"Not possible",
"Not Possible",
"(98 * 71) - 56"
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[
"Not possible with the given numbers",
"((98 *... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1399, "span_text": "(98 * (56 - 22)) + 71", "extraction_type": "internal", "span_start": 1399, "span_end": 1422, "original_span": "(98 * (56 - 22)) + 71"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3207, "span_text": "(98 - 22) * 56", "... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(98 * (56 - 22)) + 71", "final_answer": 853.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(98 - 22) * 56", "final_answer": 853.0}, {"is_correct": false, "error": "Expression does... | {
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... | 2025-09-24 | [
{
"content": "Given the prompt and model response below (which is a response to that prompt), extract for every solution attempt (this includes partial attempts that the model tries and finds are incorrect and continues \"thinking\") and report all the numbers used in that solution attempt.\n\nFor example, if t... | 0 | 0 | [
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"content": "Given the prompt and model response below (which is a response to that prompt), extract for every s... | {
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 58 + 68 + 98 - 26 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 252, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 252, \"numbers\": [98, 58, 68, 26], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 98, 58, 68, and 26 exactly on(...TRUNCATED) | [
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"(98 - 58) * 68 - 26",
"(58 - 26) * 68 - 98",
"(98 + 68) * 26 / 58",
"(68 - 26) * 98"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 4, \"non_overlapping_spans\": 4, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[true,true,false,false],[false,false,false,false],[true,false,true,false,false,false],[true,false,f(...TRUNCATED) | [["(98 - 26) + 58 + 68","(98 + 58) + 68 - 26","((98 - 68) * 26) / 58","(98 - 58) * 68 - 26"],["(98 /(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 637, \"span_text\": \"(98 -(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(98 - 26) + 58 + 68\", \"final_answer(...TRUNCATED) | {"flips_by":[1,0,2,1],"flips_total":4,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 1 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"98\", \"58\", \"68\", \"26\"], \"operations_used\":(...TRUNCATED) | [
false
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 27*29 - 96 - 39 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 253, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 253, \"numbers\": [96, 27, 29, 39], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 96, 27, 29, and 39 exactly on(...TRUNCATED) | [
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"",
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] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
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"(96 + 27) + 29 + 39",
"(27 * 39) / 29",
"(39 - 96) * 27",
"(27 * 39) - 27"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 4, \"non_overlapping_spans\": 4, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[false,false,false,false],[false,false,false,false],[false,false,false,false],[false,false,false,fa(...TRUNCATED) | [["Not possible with the given constraints.","(27 * 39) / 29","((96/27)*29)+39","(96 + 27) + 29 + 39(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2489, \"span_text\": \"Not (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"Not pos(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 2 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"96\", \"27\", \"29\", \"39\"], \"operations_used\":(...TRUNCATED) | [
false
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""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 33 + 48 - 65 + 87 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 254, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 254, \"numbers\": [65, 87, 48, 33], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 65, 87, 48, and 33 exactly on(...TRUNCATED) | [
false,
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false,
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"",
"",
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] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
true,
false,
false,
false
] | [
"(87 + 48) - 65 + 33",
"(65 + 33) * 87",
"(87 - 48) + 65",
"(65 + 48) - 87"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 3, \"non_overlapping_spans\": 3, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(87 + 48) - 65 + 33\", \"final_answer\(...TRUNCATED) | [
[
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[
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[
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[
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] | [["(65 + 87) - 48","(87 + 48) - 65 + 33","(87 + 48) - 65 + 33"],["(87 + 48) - 65 + 33","(87 - 48) * (...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1404, \"span_text\": \"(65 (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\":(...TRUNCATED) | {"flips_by":[0,1,1,0],"flips_total":2,"num_correct":1,"pass_at_n":1,"percent_correct":0.25,"skill_co(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 3 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"65\", \"87\", \"48\", \"33\"], \"operations_used\":(...TRUNCATED) | [
false
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] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 17 - 38 + 82 + 39 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 255, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 255, \"numbers\": [17, 39, 38, 82], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 17, 39, 38, and 82 exactly on(...TRUNCATED) | [
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] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
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"(39 * 38) - 17",
"(39 * 38) - 82",
"(39 + 82) - 38",
"(17 + 82) + 38"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 5, \"non_overlapping_spans\": 5, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[false,false,false,false,false],[false,false,false,false],[false,false,false,false,false],[false,fa(...TRUNCATED) | [["(17 * 38) - 39","(82 - 38) * 17","(17 + 38) + 39","(39 + 82) - 38","(39 * 38) - 17"],["(39 - 38) (...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2350, \"span_text\": \"(17 (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\":(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 4 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"17\", \"39\", \"38\", \"82\"], \"operations_used\":(...TRUNCATED) | [
false
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] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 93 + 99 + 42 + 20 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 256, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 256, \"numbers\": [42, 20, 99, 93], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 42, 20, 99, and 93 exactly on(...TRUNCATED) | [
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"(99 - 20) * 42",
"(99 + 93) * 20 - 42",
"(99 - 93) * 20 + 42",
"(42 + 99) + 20 - 93"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 5, \"non_overlapping_spans\": 5, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[true,false,false,false,false],[true,false,false,false,false],[true,false,false,false],[true,false,(...TRUNCATED) | [["(42 + 20) + 99 + 93","(99 * 20) - 42","((93 + 20) * 42) - 99","(99 - 42) * 20","(99 - 20) * 42"],(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 486, \"span_text\": \"(42 +(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(42 + 20) + 99 + 93\", \"final_answer(...TRUNCATED) | {"flips_by":[1,1,1,1],"flips_total":4,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 5 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"42\", \"20\", \"99\", \"93\"], \"operations_used\":(...TRUNCATED) | [
false
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 76*25/2 + 2 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 257, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 257, \"numbers\": [2, 2, 25, 76], \"target\":(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 2, 2, 25, and 76 exactly once(...TRUNCATED) | [
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"(25 + 2) * 25",
"(76 / 2) * (25 * 38) + 2",
"(25 * 2) * 25",
"(25 * 2) + 76"
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false
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