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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": "-\\frac{7}{3}", "budget": 2386 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002856", "normalized_example_id": "ex_002856", "source_idx": 2856, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3977, ...
[ { "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}{3}", "budget": 3182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002856", "normalized_example_id": "ex_002856", "source_idx": 2856, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3977, ...
[ { "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}{3}", "budget": 3977 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002856", "normalized_example_id": "ex_002856", "source_idx": 2856, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3977, ...
[ { "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": 2319 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002858", "normalized_example_id": "ex_002858", "source_idx": 2858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3865, ...
[ { "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": 3092 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002858", "normalized_example_id": "ex_002858", "source_idx": 2858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3865, ...
[ { "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": 3865 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002858", "normalized_example_id": "ex_002858", "source_idx": 2858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3865, ...
[ { "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}{4}", "budget": 2392 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002859", "normalized_example_id": "ex_002859", "source_idx": 2859, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3987, ...
[ { "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}{4}", "budget": 3190 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002859", "normalized_example_id": "ex_002859", "source_idx": 2859, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3987, ...
[ { "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}{4}", "budget": 3987 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002859", "normalized_example_id": "ex_002859", "source_idx": 2859, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3987, ...
[ { "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": 4318 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002860", "normalized_example_id": "ex_002860", "source_idx": 2860, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7196, ...
[ { "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": 5757 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002860", "normalized_example_id": "ex_002860", "source_idx": 2860, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7196, ...
[ { "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": 7196 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002860", "normalized_example_id": "ex_002860", "source_idx": 2860, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7196, ...
[ { "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": "52", "budget": 3802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002863", "normalized_example_id": "ex_002863", "source_idx": 2863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6336, ...
[ { "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": "52", "budget": 5069 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002863", "normalized_example_id": "ex_002863", "source_idx": 2863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6336, ...
[ { "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": "52", "budget": 6336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002863", "normalized_example_id": "ex_002863", "source_idx": 2863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6336, ...
[ { "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": "\\varphi(x)=xe^{x}-e^{x}+1", "budget": 1639 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002866", "normalized_example_id": "ex_002866", "source_idx": 2866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2731, ...
[ { "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": "\\varphi(x)=xe^{x}-e^{x}+1", "budget": 2185 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002866", "normalized_example_id": "ex_002866", "source_idx": 2866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2731, ...
[ { "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": "\\varphi(x)=xe^{x}-e^{x}+1", "budget": 2731 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002866", "normalized_example_id": "ex_002866", "source_idx": 2866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2731, ...
[ { "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{175}{256}", "budget": 2262 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002867", "normalized_example_id": "ex_002867", "source_idx": 2867, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3770, ...
[ { "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{175}{256}", "budget": 3016 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002867", "normalized_example_id": "ex_002867", "source_idx": 2867, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3770, ...
[ { "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{175}{256}", "budget": 3770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002867", "normalized_example_id": "ex_002867", "source_idx": 2867, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3770, ...
[ { "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": "(2,3,6),(2,4,4),(3,3,3)", "budget": 5538 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002868", "normalized_example_id": "ex_002868", "source_idx": 2868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9230, ...
[ { "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": "(2,3,6),(2,4,4),(3,3,3)", "budget": 7384 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002868", "normalized_example_id": "ex_002868", "source_idx": 2868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9230, ...
[ { "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": "(2,3,6),(2,4,4),(3,3,3)", "budget": 9230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002868", "normalized_example_id": "ex_002868", "source_idx": 2868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9230, ...
[ { "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": 5309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002869", "normalized_example_id": "ex_002869", "source_idx": 2869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8849, ...
[ { "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": 7079 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002869", "normalized_example_id": "ex_002869", "source_idx": 2869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8849, ...
[ { "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": 8849 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002869", "normalized_example_id": "ex_002869", "source_idx": 2869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8849, ...
[ { "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", "budget": 748 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002872", "normalized_example_id": "ex_002872", "source_idx": 2872, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1246, ...
[ { "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", "budget": 997 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002872", "normalized_example_id": "ex_002872", "source_idx": 2872, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1246, ...
[ { "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", "budget": 1246 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002872", "normalized_example_id": "ex_002872", "source_idx": 2872, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1246, ...
[ { "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}{4}\\cdot(10-7x)\\cos4x+\\frac{7}{16}\\cdot\\sin4x+C", "budget": 1541 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002873", "normalized_example_id": "ex_002873", "source_idx": 2873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2568, ...
[ { "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}{4}\\cdot(10-7x)\\cos4x+\\frac{7}{16}\\cdot\\sin4x+C", "budget": 2054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002873", "normalized_example_id": "ex_002873", "source_idx": 2873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2568, ...
[ { "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}{4}\\cdot(10-7x)\\cos4x+\\frac{7}{16}\\cdot\\sin4x+C", "budget": 2568 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002873", "normalized_example_id": "ex_002873", "source_idx": 2873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2568, ...
[ { "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": "90", "budget": 5567 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002874", "normalized_example_id": "ex_002874", "source_idx": 2874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9278, ...
[ { "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": "90", "budget": 7422 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002874", "normalized_example_id": "ex_002874", "source_idx": 2874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9278, ...
[ { "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": "90", "budget": 9278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002874", "normalized_example_id": "ex_002874", "source_idx": 2874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9278, ...
[ { "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{\\sqrt{5}+1}{4}", "budget": 3937 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002876", "normalized_example_id": "ex_002876", "source_idx": 2876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6561, ...
[ { "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{\\sqrt{5}+1}{4}", "budget": 5249 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002876", "normalized_example_id": "ex_002876", "source_idx": 2876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6561, ...
[ { "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{\\sqrt{5}+1}{4}", "budget": 6561 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002876", "normalized_example_id": "ex_002876", "source_idx": 2876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6561, ...
[ { "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": 3757 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002877", "normalized_example_id": "ex_002877", "source_idx": 2877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6262, ...
[ { "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": 5010 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002877", "normalized_example_id": "ex_002877", "source_idx": 2877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6262, ...
[ { "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": 6262 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002877", "normalized_example_id": "ex_002877", "source_idx": 2877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6262, ...
[ { "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": 5905 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002879", "normalized_example_id": "ex_002879", "source_idx": 2879, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9842, ...
[ { "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": 7874 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002879", "normalized_example_id": "ex_002879", "source_idx": 2879, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9842, ...
[ { "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": 9842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002879", "normalized_example_id": "ex_002879", "source_idx": 2879, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9842, ...
[ { "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": "65", "budget": 1725 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002880", "normalized_example_id": "ex_002880", "source_idx": 2880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2875, ...
[ { "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": "65", "budget": 2300 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002880", "normalized_example_id": "ex_002880", "source_idx": 2880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2875, ...
[ { "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": "65", "budget": 2875 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002880", "normalized_example_id": "ex_002880", "source_idx": 2880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2875, ...
[ { "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": 4787 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002881", "normalized_example_id": "ex_002881", "source_idx": 2881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7979, ...
[ { "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": 6383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002881", "normalized_example_id": "ex_002881", "source_idx": 2881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7979, ...
[ { "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": 7979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002881", "normalized_example_id": "ex_002881", "source_idx": 2881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7979, ...
[ { "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": "31", "budget": 1060 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002884", "normalized_example_id": "ex_002884", "source_idx": 2884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1766, ...
[ { "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": "31", "budget": 1413 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002884", "normalized_example_id": "ex_002884", "source_idx": 2884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1766, ...
[ { "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": "31", "budget": 1766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002884", "normalized_example_id": "ex_002884", "source_idx": 2884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1766, ...
[ { "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": "k^2", "budget": 4518 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002890", "normalized_example_id": "ex_002890", "source_idx": 2890, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7530, ...
[ { "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": "k^2", "budget": 6024 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002890", "normalized_example_id": "ex_002890", "source_idx": 2890, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7530, ...
[ { "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": "k^2", "budget": 7530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002890", "normalized_example_id": "ex_002890", "source_idx": 2890, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7530, ...
[ { "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, \\sqrt{2})", "budget": 3451 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002891", "normalized_example_id": "ex_002891", "source_idx": 2891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5752, ...
[ { "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, \\sqrt{2})", "budget": 4602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002891", "normalized_example_id": "ex_002891", "source_idx": 2891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5752, ...
[ { "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, \\sqrt{2})", "budget": 5752 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002891", "normalized_example_id": "ex_002891", "source_idx": 2891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5752, ...
[ { "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_{1}\\in(0,1)", "budget": 3672 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002892", "normalized_example_id": "ex_002892", "source_idx": 2892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6120, ...
[ { "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_{1}\\in(0,1)", "budget": 4896 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002892", "normalized_example_id": "ex_002892", "source_idx": 2892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6120, ...
[ { "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_{1}\\in(0,1)", "budget": 6120 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002892", "normalized_example_id": "ex_002892", "source_idx": 2892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6120, ...
[ { "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": "83.25", "budget": 4612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002897", "normalized_example_id": "ex_002897", "source_idx": 2897, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7686, ...
[ { "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": "83.25", "budget": 6149 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002897", "normalized_example_id": "ex_002897", "source_idx": 2897, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7686, ...
[ { "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": "83.25", "budget": 7686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002897", "normalized_example_id": "ex_002897", "source_idx": 2897, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7686, ...
[ { "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": "6817", "budget": 5717 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002901", "normalized_example_id": "ex_002901", "source_idx": 2901, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9528, ...
[ { "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": "6817", "budget": 7622 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002901", "normalized_example_id": "ex_002901", "source_idx": 2901, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9528, ...
[ { "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": "6817", "budget": 9528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002901", "normalized_example_id": "ex_002901", "source_idx": 2901, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9528, ...
[ { "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": "2R\\sqrt[3]{4}", "budget": 1809 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002905", "normalized_example_id": "ex_002905", "source_idx": 2905, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3015, ...
[ { "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": "2R\\sqrt[3]{4}", "budget": 2412 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002905", "normalized_example_id": "ex_002905", "source_idx": 2905, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3015, ...
[ { "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": "2R\\sqrt[3]{4}", "budget": 3015 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002905", "normalized_example_id": "ex_002905", "source_idx": 2905, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3015, ...
[ { "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": "24", "budget": 1466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002907", "normalized_example_id": "ex_002907", "source_idx": 2907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2444, ...
[ { "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": "24", "budget": 1955 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002907", "normalized_example_id": "ex_002907", "source_idx": 2907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2444, ...
[ { "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": "24", "budget": 2444 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002907", "normalized_example_id": "ex_002907", "source_idx": 2907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2444, ...
[ { "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": "10", "budget": 944 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002908", "normalized_example_id": "ex_002908", "source_idx": 2908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "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": "10", "budget": 1258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002908", "normalized_example_id": "ex_002908", "source_idx": 2908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "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": "10", "budget": 1573 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002908", "normalized_example_id": "ex_002908", "source_idx": 2908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "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": 4948 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002910", "normalized_example_id": "ex_002910", "source_idx": 2910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8246, ...
[ { "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": 6597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002910", "normalized_example_id": "ex_002910", "source_idx": 2910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8246, ...
[ { "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": 8246 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002910", "normalized_example_id": "ex_002910", "source_idx": 2910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8246, ...
[ { "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": "11", "budget": 3382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002912", "normalized_example_id": "ex_002912", "source_idx": 2912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5636, ...
[ { "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": "11", "budget": 4509 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002912", "normalized_example_id": "ex_002912", "source_idx": 2912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5636, ...
[ { "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": "11", "budget": 5636 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002912", "normalized_example_id": "ex_002912", "source_idx": 2912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5636, ...
[ { "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}{2}", "budget": 3122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002914", "normalized_example_id": "ex_002914", "source_idx": 2914, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5204, ...
[ { "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}{2}", "budget": 4163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002914", "normalized_example_id": "ex_002914", "source_idx": 2914, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5204, ...
[ { "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}{2}", "budget": 5204 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002914", "normalized_example_id": "ex_002914", "source_idx": 2914, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5204, ...
[ { "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{13}{3}", "budget": 914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002915", "normalized_example_id": "ex_002915", "source_idx": 2915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1523, ...
[ { "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{13}{3}", "budget": 1218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002915", "normalized_example_id": "ex_002915", "source_idx": 2915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1523, ...
[ { "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{13}{3}", "budget": 1523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002915", "normalized_example_id": "ex_002915", "source_idx": 2915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1523, ...
[ { "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": 1624 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002919", "normalized_example_id": "ex_002919", "source_idx": 2919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2707, ...
[ { "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": 2166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002919", "normalized_example_id": "ex_002919", "source_idx": 2919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2707, ...
[ { "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": 2707 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002919", "normalized_example_id": "ex_002919", "source_idx": 2919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2707, ...
[ { "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": "12", "budget": 2819 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002920", "normalized_example_id": "ex_002920", "source_idx": 2920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4698, ...
[ { "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": "12", "budget": 3758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002920", "normalized_example_id": "ex_002920", "source_idx": 2920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4698, ...
[ { "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": "12", "budget": 4698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002920", "normalized_example_id": "ex_002920", "source_idx": 2920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4698, ...
[ { "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": "n \\leq 12", "budget": 2119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002921", "normalized_example_id": "ex_002921", "source_idx": 2921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3531, ...
[ { "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": "n \\leq 12", "budget": 2825 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002921", "normalized_example_id": "ex_002921", "source_idx": 2921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3531, ...
[ { "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": "n \\leq 12", "budget": 3531 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002921", "normalized_example_id": "ex_002921", "source_idx": 2921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3531, ...
[ { "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": 2189 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002928", "normalized_example_id": "ex_002928", "source_idx": 2928, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3649, ...