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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 [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 | [
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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 [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
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Let's think step by step. | 14*54 | countdown_2arg | countdown | [
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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 [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:
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For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
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Step 2: 3 / 3 = 1
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] | ["85 + 76","85 + 76","85 + 76","85 + 76","85 + 76","85 + 76","85 + 76","85 + 76","85 + 76","85 + 76"(...TRUNCATED) | "[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"85 + 76\", \"final_answer\": 161.0}, {(...TRUNCATED) | [[true,true],[true,true],[true],[true,true],[true,true],[true,true],[true,true],[true],[true,true],[(...TRUNCATED) | [["85 + 76","85 + 76"],["85 + 76","85 + 76"],["85 + 76"],["(85 + 76)","85 + 76"],["85 + 76","85 + 76(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 736, \"span_text\": \"85 + (...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"85 + 76\", \"final_answer\": 161.0}, (...TRUNCATED) | {"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,"percen(...TRUNCATED) | 2025-09-21 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 45 + 75 | countdown_2arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5533, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120,(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 120 using the numbers 45 and 75 with each number used exactly once(...TRUNCATED) | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 14*62 | countdown_2arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5746, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868,(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 868 using the numbers 62 and 14 with each number used exactly once(...TRUNCATED) | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 6*87 | countdown_2arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5021, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, (...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 522 using the numbers 87 and 6 with each number used exactly once,(...TRUNCATED) | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 90 + 66 | countdown_2arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6819, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156,(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 156 using the numbers 90 and 66 with each number used exactly once(...TRUNCATED) | [
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] | "{\"api_url\": \"http://127.0.0.1:53877/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
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