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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": "1,3,11,33", "budget": 5759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005726", "normalized_example_id": "ex_005726", "source_idx": 5726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7199, ...
[ { "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": "1,3,11,33", "budget": 7199 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005726", "normalized_example_id": "ex_005726", "source_idx": 5726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7199, ...
[ { "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": "D", "budget": 4114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005729", "normalized_example_id": "ex_005729", "source_idx": 5729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6856, ...
[ { "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": "D", "budget": 5485 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005729", "normalized_example_id": "ex_005729", "source_idx": 5729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6856, ...
[ { "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": "D", "budget": 6856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005729", "normalized_example_id": "ex_005729", "source_idx": 5729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6856, ...
[ { "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": "1", "budget": 1435 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005730", "normalized_example_id": "ex_005730", "source_idx": 5730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2391, ...
[ { "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": "1", "budget": 1913 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005730", "normalized_example_id": "ex_005730", "source_idx": 5730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2391, ...
[ { "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": "1", "budget": 2391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005730", "normalized_example_id": "ex_005730", "source_idx": 5730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2391, ...
[ { "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,y)=(0,1),(0,-1)", "budget": 4004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005732", "normalized_example_id": "ex_005732", "source_idx": 5732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6673, ...
[ { "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,y)=(0,1),(0,-1)", "budget": 5338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005732", "normalized_example_id": "ex_005732", "source_idx": 5732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6673, ...
[ { "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,y)=(0,1),(0,-1)", "budget": 6673 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005732", "normalized_example_id": "ex_005732", "source_idx": 5732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6673, ...
[ { "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": "45^{\\circ}", "budget": 2831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005733", "normalized_example_id": "ex_005733", "source_idx": 5733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4719, ...
[ { "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": "45^{\\circ}", "budget": 3775 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005733", "normalized_example_id": "ex_005733", "source_idx": 5733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4719, ...
[ { "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": "45^{\\circ}", "budget": 4719 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005733", "normalized_example_id": "ex_005733", "source_idx": 5733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4719, ...
[ { "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;1)", "budget": 1851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005734", "normalized_example_id": "ex_005734", "source_idx": 5734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3085, ...
[ { "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;1)", "budget": 2468 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005734", "normalized_example_id": "ex_005734", "source_idx": 5734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3085, ...
[ { "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;1)", "budget": 3085 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005734", "normalized_example_id": "ex_005734", "source_idx": 5734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3085, ...
[ { "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": "1,2,\\frac{1}{2}", "budget": 2410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005735", "normalized_example_id": "ex_005735", "source_idx": 5735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4016, ...
[ { "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": "1,2,\\frac{1}{2}", "budget": 3213 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005735", "normalized_example_id": "ex_005735", "source_idx": 5735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4016, ...
[ { "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": "1,2,\\frac{1}{2}", "budget": 4016 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005735", "normalized_example_id": "ex_005735", "source_idx": 5735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4016, ...
[ { "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{130}{759}", "budget": 3238 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005739", "normalized_example_id": "ex_005739", "source_idx": 5739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5397, ...
[ { "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{130}{759}", "budget": 4318 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005739", "normalized_example_id": "ex_005739", "source_idx": 5739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5397, ...
[ { "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{130}{759}", "budget": 5397 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005739", "normalized_example_id": "ex_005739", "source_idx": 5739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5397, ...
[ { "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": "9", "budget": 3774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005741", "normalized_example_id": "ex_005741", "source_idx": 5741, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6290, ...
[ { "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": "9", "budget": 5032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005741", "normalized_example_id": "ex_005741", "source_idx": 5741, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6290, ...
[ { "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": "9", "budget": 6290 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005741", "normalized_example_id": "ex_005741", "source_idx": 5741, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6290, ...
[ { "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": "48", "budget": 1102 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005744", "normalized_example_id": "ex_005744", "source_idx": 5744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1836, ...
[ { "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": "48", "budget": 1469 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005744", "normalized_example_id": "ex_005744", "source_idx": 5744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1836, ...
[ { "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": "48", "budget": 1836 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005744", "normalized_example_id": "ex_005744", "source_idx": 5744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1836, ...
[ { "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{9}{2}", "budget": 3821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005745", "normalized_example_id": "ex_005745", "source_idx": 5745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6369, ...
[ { "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{9}{2}", "budget": 5095 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005745", "normalized_example_id": "ex_005745", "source_idx": 5745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6369, ...
[ { "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{9}{2}", "budget": 6369 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005745", "normalized_example_id": "ex_005745", "source_idx": 5745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6369, ...
[ { "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": "30,60,90", "budget": 3795 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005746", "normalized_example_id": "ex_005746", "source_idx": 5746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6325, ...
[ { "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": "30,60,90", "budget": 5060 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005746", "normalized_example_id": "ex_005746", "source_idx": 5746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6325, ...
[ { "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": "30,60,90", "budget": 6325 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005746", "normalized_example_id": "ex_005746", "source_idx": 5746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6325, ...
[ { "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": "87", "budget": 1360 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005747", "normalized_example_id": "ex_005747", "source_idx": 5747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2267, ...
[ { "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": "87", "budget": 1814 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005747", "normalized_example_id": "ex_005747", "source_idx": 5747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2267, ...
[ { "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": "87", "budget": 2267 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005747", "normalized_example_id": "ex_005747", "source_idx": 5747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2267, ...
[ { "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": "\\pi/12,5\\pi/12", "budget": 2265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005748", "normalized_example_id": "ex_005748", "source_idx": 5748, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3775, ...
[ { "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": "\\pi/12,5\\pi/12", "budget": 3020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005748", "normalized_example_id": "ex_005748", "source_idx": 5748, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3775, ...
[ { "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": "\\pi/12,5\\pi/12", "budget": 3775 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005748", "normalized_example_id": "ex_005748", "source_idx": 5748, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3775, ...
[ { "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": "u_{n}=2-\\frac{2}{3}(-1)^{n}-\\frac{1}{3}2^{n}", "budget": 1427 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005751", "normalized_example_id": "ex_005751", "source_idx": 5751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2379, ...
[ { "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": "u_{n}=2-\\frac{2}{3}(-1)^{n}-\\frac{1}{3}2^{n}", "budget": 1903 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005751", "normalized_example_id": "ex_005751", "source_idx": 5751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2379, ...
[ { "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": "u_{n}=2-\\frac{2}{3}(-1)^{n}-\\frac{1}{3}2^{n}", "budget": 2379 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005751", "normalized_example_id": "ex_005751", "source_idx": 5751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2379, ...
[ { "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{4}{3}", "budget": 3275 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005754", "normalized_example_id": "ex_005754", "source_idx": 5754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5459, ...
[ { "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{4}{3}", "budget": 4367 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005754", "normalized_example_id": "ex_005754", "source_idx": 5754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5459, ...
[ { "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{4}{3}", "budget": 5459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005754", "normalized_example_id": "ex_005754", "source_idx": 5754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5459, ...
[ { "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": "221", "budget": 1158 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005755", "normalized_example_id": "ex_005755", "source_idx": 5755, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1930, ...
[ { "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": "221", "budget": 1544 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005755", "normalized_example_id": "ex_005755", "source_idx": 5755, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1930, ...
[ { "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": "221", "budget": 1930 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005755", "normalized_example_id": "ex_005755", "source_idx": 5755, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1930, ...
[ { "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": "889", "budget": 1343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005757", "normalized_example_id": "ex_005757", "source_idx": 5757, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2239, ...
[ { "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": "889", "budget": 1791 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005757", "normalized_example_id": "ex_005757", "source_idx": 5757, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2239, ...
[ { "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": "889", "budget": 2239 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005757", "normalized_example_id": "ex_005757", "source_idx": 5757, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2239, ...
[ { "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": "1.5", "budget": 2818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005758", "normalized_example_id": "ex_005758", "source_idx": 5758, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4697, ...
[ { "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": "1.5", "budget": 3758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005758", "normalized_example_id": "ex_005758", "source_idx": 5758, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4697, ...
[ { "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": "1.5", "budget": 4697 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005758", "normalized_example_id": "ex_005758", "source_idx": 5758, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4697, ...
[ { "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": "864", "budget": 2288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005759", "normalized_example_id": "ex_005759", "source_idx": 5759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3813, ...
[ { "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": "864", "budget": 3050 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005759", "normalized_example_id": "ex_005759", "source_idx": 5759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3813, ...
[ { "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": "864", "budget": 3813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005759", "normalized_example_id": "ex_005759", "source_idx": 5759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3813, ...
[ { "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": "6710,6712,6713", "budget": 3998 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005763", "normalized_example_id": "ex_005763", "source_idx": 5763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6664, ...
[ { "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": "6710,6712,6713", "budget": 5331 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005763", "normalized_example_id": "ex_005763", "source_idx": 5763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6664, ...
[ { "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": "6710,6712,6713", "budget": 6664 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005763", "normalized_example_id": "ex_005763", "source_idx": 5763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6664, ...
[ { "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": "c_n = n^2", "budget": 2644 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005764", "normalized_example_id": "ex_005764", "source_idx": 5764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4406, ...
[ { "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": "c_n = n^2", "budget": 3525 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005764", "normalized_example_id": "ex_005764", "source_idx": 5764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4406, ...
[ { "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": "c_n = n^2", "budget": 4406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005764", "normalized_example_id": "ex_005764", "source_idx": 5764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4406, ...
[ { "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": "6490716149", "budget": 3098 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005765", "normalized_example_id": "ex_005765", "source_idx": 5765, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5163, ...
[ { "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": "6490716149", "budget": 4130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005765", "normalized_example_id": "ex_005765", "source_idx": 5765, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5163, ...
[ { "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": "6490716149", "budget": 5163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005765", "normalized_example_id": "ex_005765", "source_idx": 5765, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5163, ...
[ { "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": "7744", "budget": 5079 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005768", "normalized_example_id": "ex_005768", "source_idx": 5768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8465, ...
[ { "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": "7744", "budget": 6772 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005768", "normalized_example_id": "ex_005768", "source_idx": 5768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8465, ...
[ { "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": "7744", "budget": 8465 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005768", "normalized_example_id": "ex_005768", "source_idx": 5768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8465, ...
[ { "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", "budget": 2089 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005769", "normalized_example_id": "ex_005769", "source_idx": 5769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3481, ...
[ { "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", "budget": 2785 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005769", "normalized_example_id": "ex_005769", "source_idx": 5769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3481, ...
[ { "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", "budget": 3481 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005769", "normalized_example_id": "ex_005769", "source_idx": 5769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3481, ...
[ { "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": "375", "budget": 1268 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005770", "normalized_example_id": "ex_005770", "source_idx": 5770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2114, ...
[ { "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": "375", "budget": 1691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005770", "normalized_example_id": "ex_005770", "source_idx": 5770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2114, ...
[ { "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": "375", "budget": 2114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005770", "normalized_example_id": "ex_005770", "source_idx": 5770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2114, ...
[ { "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": "5.2", "budget": 1903 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005773", "normalized_example_id": "ex_005773", "source_idx": 5773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3172, ...
[ { "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": "5.2", "budget": 2538 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005773", "normalized_example_id": "ex_005773", "source_idx": 5773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3172, ...
[ { "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": "5.2", "budget": 3172 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005773", "normalized_example_id": "ex_005773", "source_idx": 5773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3172, ...
[ { "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{55}{216}", "budget": 3211 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005775", "normalized_example_id": "ex_005775", "source_idx": 5775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5352, ...
[ { "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{55}{216}", "budget": 4282 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005775", "normalized_example_id": "ex_005775", "source_idx": 5775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5352, ...
[ { "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{55}{216}", "budget": 5352 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005775", "normalized_example_id": "ex_005775", "source_idx": 5775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5352, ...
[ { "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": "20071", "budget": 860 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005777", "normalized_example_id": "ex_005777", "source_idx": 5777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1433, ...
[ { "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": "20071", "budget": 1146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005777", "normalized_example_id": "ex_005777", "source_idx": 5777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1433, ...
[ { "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": "20071", "budget": 1433 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005777", "normalized_example_id": "ex_005777", "source_idx": 5777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1433, ...
[ { "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": "0<x+y \\leqslant \\sqrt[3]{4} a", "budget": 4459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005778", "normalized_example_id": "ex_005778", "source_idx": 5778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7431, ...
[ { "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": "0<x+y \\leqslant \\sqrt[3]{4} a", "budget": 5945 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005778", "normalized_example_id": "ex_005778", "source_idx": 5778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7431, ...
[ { "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": "0<x+y \\leqslant \\sqrt[3]{4} a", "budget": 7431 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005778", "normalized_example_id": "ex_005778", "source_idx": 5778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7431, ...
[ { "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": "45", "budget": 1020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005779", "normalized_example_id": "ex_005779", "source_idx": 5779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1700, ...
[ { "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": "45", "budget": 1360 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005779", "normalized_example_id": "ex_005779", "source_idx": 5779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1700, ...
[ { "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": "45", "budget": 1700 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005779", "normalized_example_id": "ex_005779", "source_idx": 5779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1700, ...
[ { "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": "-1or3", "budget": 3875 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005780", "normalized_example_id": "ex_005780", "source_idx": 5780, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6459, ...
[ { "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": "-1or3", "budget": 5167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005780", "normalized_example_id": "ex_005780", "source_idx": 5780, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6459, ...
[ { "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": "-1or3", "budget": 6459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005780", "normalized_example_id": "ex_005780", "source_idx": 5780, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6459, ...
[ { "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": "6,-\\frac{33}{4}", "budget": 2257 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005783", "normalized_example_id": "ex_005783", "source_idx": 5783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3762, ...
[ { "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": "6,-\\frac{33}{4}", "budget": 3010 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005783", "normalized_example_id": "ex_005783", "source_idx": 5783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3762, ...
[ { "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": "6,-\\frac{33}{4}", "budget": 3762 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005783", "normalized_example_id": "ex_005783", "source_idx": 5783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3762, ...
[ { "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{p-1}{4}", "budget": 2511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005784", "normalized_example_id": "ex_005784", "source_idx": 5784, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4185, ...
[ { "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{p-1}{4}", "budget": 3348 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005784", "normalized_example_id": "ex_005784", "source_idx": 5784, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4185, ...