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[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e", "budget": 2850 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002702", "normalized_example_id": "ex_002702", "source_idx": 2702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3562, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e", "budget": 3562 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002702", "normalized_example_id": "ex_002702", "source_idx": 2702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3562, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "331", "budget": 3380 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002703", "normalized_example_id": "ex_002703", "source_idx": 2703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5633, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "331", "budget": 4506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002703", "normalized_example_id": "ex_002703", "source_idx": 2703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5633, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "331", "budget": 5633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002703", "normalized_example_id": "ex_002703", "source_idx": 2703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5633, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 650 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002711", "normalized_example_id": "ex_002711", "source_idx": 2711, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1083, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002711", "normalized_example_id": "ex_002711", "source_idx": 2711, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1083, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002711", "normalized_example_id": "ex_002711", "source_idx": 2711, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1083, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[-\\frac{5\\pi}{2};\\frac{3\\pi}{2}]", "budget": 3301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002713", "normalized_example_id": "ex_002713", "source_idx": 2713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5502, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[-\\frac{5\\pi}{2};\\frac{3\\pi}{2}]", "budget": 4402 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002713", "normalized_example_id": "ex_002713", "source_idx": 2713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5502, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[-\\frac{5\\pi}{2};\\frac{3\\pi}{2}]", "budget": 5502 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002713", "normalized_example_id": "ex_002713", "source_idx": 2713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5502, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{10}", "budget": 2147 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002714", "normalized_example_id": "ex_002714", "source_idx": 2714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3578, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{10}", "budget": 2862 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002714", "normalized_example_id": "ex_002714", "source_idx": 2714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3578, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{10}", "budget": 3578 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002714", "normalized_example_id": "ex_002714", "source_idx": 2714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3578, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 5320 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002716", "normalized_example_id": "ex_002716", "source_idx": 2716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 7093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002716", "normalized_example_id": "ex_002716", "source_idx": 2716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 8866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002716", "normalized_example_id": "ex_002716", "source_idx": 2716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "249", "budget": 1267 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002717", "normalized_example_id": "ex_002717", "source_idx": 2717, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "249", "budget": 1690 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002717", "normalized_example_id": "ex_002717", "source_idx": 2717, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "249", "budget": 2112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002717", "normalized_example_id": "ex_002717", "source_idx": 2717, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^{4}+x^{3}+x^{2}+x+1", "budget": 1186 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002719", "normalized_example_id": "ex_002719", "source_idx": 2719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^{4}+x^{3}+x^{2}+x+1", "budget": 1581 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002719", "normalized_example_id": "ex_002719", "source_idx": 2719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^{4}+x^{3}+x^{2}+x+1", "budget": 1976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002719", "normalized_example_id": "ex_002719", "source_idx": 2719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{27}-2^{11}", "budget": 4586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002722", "normalized_example_id": "ex_002722", "source_idx": 2722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7643, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{27}-2^{11}", "budget": 6114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002722", "normalized_example_id": "ex_002722", "source_idx": 2722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7643, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{27}-2^{11}", "budget": 7643 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002722", "normalized_example_id": "ex_002722", "source_idx": 2722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7643, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 1312 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002723", "normalized_example_id": "ex_002723", "source_idx": 2723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2187, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 1750 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002723", "normalized_example_id": "ex_002723", "source_idx": 2723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2187, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 2187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002723", "normalized_example_id": "ex_002723", "source_idx": 2723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2187, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2372 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002725", "normalized_example_id": "ex_002725", "source_idx": 2725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3954, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 3163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002725", "normalized_example_id": "ex_002725", "source_idx": 2725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3954, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 3954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002725", "normalized_example_id": "ex_002725", "source_idx": 2725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3954, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{7}{15};\\frac{4}{5}", "budget": 973 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002726", "normalized_example_id": "ex_002726", "source_idx": 2726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1622, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{7}{15};\\frac{4}{5}", "budget": 1298 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002726", "normalized_example_id": "ex_002726", "source_idx": 2726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1622, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{7}{15};\\frac{4}{5}", "budget": 1622 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002726", "normalized_example_id": "ex_002726", "source_idx": 2726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1622, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "512", "budget": 3907 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002729", "normalized_example_id": "ex_002729", "source_idx": 2729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6511, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "512", "budget": 5209 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002729", "normalized_example_id": "ex_002729", "source_idx": 2729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6511, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "512", "budget": 6511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002729", "normalized_example_id": "ex_002729", "source_idx": 2729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6511, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=-\\frac{13}{4}", "budget": 2455 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002730", "normalized_example_id": "ex_002730", "source_idx": 2730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=-\\frac{13}{4}", "budget": 3274 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002730", "normalized_example_id": "ex_002730", "source_idx": 2730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=-\\frac{13}{4}", "budget": 4092 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002730", "normalized_example_id": "ex_002730", "source_idx": 2730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 5866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002731", "normalized_example_id": "ex_002731", "source_idx": 2731, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9776, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 7821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002731", "normalized_example_id": "ex_002731", "source_idx": 2731, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9776, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 9776 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002731", "normalized_example_id": "ex_002731", "source_idx": 2731, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9776, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "571", "budget": 3367 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002732", "normalized_example_id": "ex_002732", "source_idx": 2732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "571", "budget": 4490 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002732", "normalized_example_id": "ex_002732", "source_idx": 2732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "571", "budget": 5612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002732", "normalized_example_id": "ex_002732", "source_idx": 2732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002738", "normalized_example_id": "ex_002738", "source_idx": 2738, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1534, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 1227 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002738", "normalized_example_id": "ex_002738", "source_idx": 2738, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1534, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 1534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002738", "normalized_example_id": "ex_002738", "source_idx": 2738, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1534, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{24}{5}", "budget": 3392 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002739", "normalized_example_id": "ex_002739", "source_idx": 2739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5654, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{24}{5}", "budget": 4523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002739", "normalized_example_id": "ex_002739", "source_idx": 2739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5654, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{24}{5}", "budget": 5654 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002739", "normalized_example_id": "ex_002739", "source_idx": 2739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5654, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{27}-2^{11}", "budget": 2203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002744", "normalized_example_id": "ex_002744", "source_idx": 2744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{27}-2^{11}", "budget": 2938 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002744", "normalized_example_id": "ex_002744", "source_idx": 2744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{27}-2^{11}", "budget": 3672 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002744", "normalized_example_id": "ex_002744", "source_idx": 2744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "91,100,109,118,127,136,145", "budget": 3269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002745", "normalized_example_id": "ex_002745", "source_idx": 2745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5448, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "91,100,109,118,127,136,145", "budget": 4358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002745", "normalized_example_id": "ex_002745", "source_idx": 2745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5448, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "91,100,109,118,127,136,145", "budget": 5448 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002745", "normalized_example_id": "ex_002745", "source_idx": 2745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5448, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "EH:HG=2:3", "budget": 1872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002747", "normalized_example_id": "ex_002747", "source_idx": 2747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "EH:HG=2:3", "budget": 2496 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002747", "normalized_example_id": "ex_002747", "source_idx": 2747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "EH:HG=2:3", "budget": 3120 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002747", "normalized_example_id": "ex_002747", "source_idx": 2747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900,1800", "budget": 4688 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002751", "normalized_example_id": "ex_002751", "source_idx": 2751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7814, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900,1800", "budget": 6251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002751", "normalized_example_id": "ex_002751", "source_idx": 2751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7814, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900,1800", "budget": 7814 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002751", "normalized_example_id": "ex_002751", "source_idx": 2751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7814, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b\\geqslant1", "budget": 4509 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002752", "normalized_example_id": "ex_002752", "source_idx": 2752, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7515, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b\\geqslant1", "budget": 6012 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002752", "normalized_example_id": "ex_002752", "source_idx": 2752, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7515, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b\\geqslant1", "budget": 7515 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002752", "normalized_example_id": "ex_002752", "source_idx": 2752, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7515, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360000", "budget": 2389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002754", "normalized_example_id": "ex_002754", "source_idx": 2754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3981, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360000", "budget": 3185 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002754", "normalized_example_id": "ex_002754", "source_idx": 2754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3981, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360000", "budget": 3981 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002754", "normalized_example_id": "ex_002754", "source_idx": 2754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3981, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{2}", "budget": 4226 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002756", "normalized_example_id": "ex_002756", "source_idx": 2756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{2}", "budget": 5635 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002756", "normalized_example_id": "ex_002756", "source_idx": 2756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{2}", "budget": 7044 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002756", "normalized_example_id": "ex_002756", "source_idx": 2756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 5439 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002758", "normalized_example_id": "ex_002758", "source_idx": 2758, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9065, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 7252 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002758", "normalized_example_id": "ex_002758", "source_idx": 2758, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9065, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 9065 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002758", "normalized_example_id": "ex_002758", "source_idx": 2758, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9065, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 1394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002760", "normalized_example_id": "ex_002760", "source_idx": 2760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2324, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 1859 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002760", "normalized_example_id": "ex_002760", "source_idx": 2760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2324, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 2324 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002760", "normalized_example_id": "ex_002760", "source_idx": 2760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2324, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 2952 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002763", "normalized_example_id": "ex_002763", "source_idx": 2763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4920, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 3936 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002763", "normalized_example_id": "ex_002763", "source_idx": 2763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4920, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 4920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002763", "normalized_example_id": "ex_002763", "source_idx": 2763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4920, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a=b=5", "budget": 2421 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002764", "normalized_example_id": "ex_002764", "source_idx": 2764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a=b=5", "budget": 3228 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002764", "normalized_example_id": "ex_002764", "source_idx": 2764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a=b=5", "budget": 4035 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002764", "normalized_example_id": "ex_002764", "source_idx": 2764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "330", "budget": 1202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002766", "normalized_example_id": "ex_002766", "source_idx": 2766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2003, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "330", "budget": 1602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002766", "normalized_example_id": "ex_002766", "source_idx": 2766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2003, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "330", "budget": 2003 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002766", "normalized_example_id": "ex_002766", "source_idx": 2766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2003, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=\\frac{5}{2}, y=\\frac{5}{6}", "budget": 3691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002768", "normalized_example_id": "ex_002768", "source_idx": 2768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6151, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=\\frac{5}{2}, y=\\frac{5}{6}", "budget": 4921 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002768", "normalized_example_id": "ex_002768", "source_idx": 2768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6151, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=\\frac{5}{2}, y=\\frac{5}{6}", "budget": 6151 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002768", "normalized_example_id": "ex_002768", "source_idx": 2768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6151, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\sqrt{11}", "budget": 2549 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002769", "normalized_example_id": "ex_002769", "source_idx": 2769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4249, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\sqrt{11}", "budget": 3399 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002769", "normalized_example_id": "ex_002769", "source_idx": 2769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4249, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\sqrt{11}", "budget": 4249 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002769", "normalized_example_id": "ex_002769", "source_idx": 2769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4249, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "37", "budget": 4163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002772", "normalized_example_id": "ex_002772", "source_idx": 2772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "37", "budget": 5551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002772", "normalized_example_id": "ex_002772", "source_idx": 2772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "37", "budget": 6939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002772", "normalized_example_id": "ex_002772", "source_idx": 2772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2, -1, 0, 1, 2", "budget": 2441 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002773", "normalized_example_id": "ex_002773", "source_idx": 2773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2, -1, 0, 1, 2", "budget": 3254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002773", "normalized_example_id": "ex_002773", "source_idx": 2773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4068, ...