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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": "(m, n) = (0, 2), (3, 5), (4, 7)", "budget": 6254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000846", "normalized_example_id": "ex_000846", "source_idx": 846, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7817, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(m, n) = (0, 2), (3, 5), (4, 7)", "budget": 7817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000846", "normalized_example_id": "ex_000846", "source_idx": 846, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7817, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1315 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000847", "normalized_example_id": "ex_000847", "source_idx": 847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2191, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1753 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000847", "normalized_example_id": "ex_000847", "source_idx": 847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2191, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000847", "normalized_example_id": "ex_000847", "source_idx": 847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2191, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n^{3}+5n+6}{6}", "budget": 2375 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000848", "normalized_example_id": "ex_000848", "source_idx": 848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3959, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n^{3}+5n+6}{6}", "budget": 3167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000848", "normalized_example_id": "ex_000848", "source_idx": 848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3959, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n^{3}+5n+6}{6}", "budget": 3959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000848", "normalized_example_id": "ex_000848", "source_idx": 848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3959, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqx<1-\\frac{\\sqrt{31}}{8}", "budget": 2633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000851", "normalized_example_id": "ex_000851", "source_idx": 851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4389, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqx<1-\\frac{\\sqrt{31}}{8}", "budget": 3511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000851", "normalized_example_id": "ex_000851", "source_idx": 851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4389, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqx<1-\\frac{\\sqrt{31}}{8}", "budget": 4389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000851", "normalized_example_id": "ex_000851", "source_idx": 851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4389, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1500", "budget": 886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000853", "normalized_example_id": "ex_000853", "source_idx": 853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1476, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1500", "budget": 1181 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000853", "normalized_example_id": "ex_000853", "source_idx": 853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1476, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1500", "budget": 1476 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000853", "normalized_example_id": "ex_000853", "source_idx": 853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1476, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "600", "budget": 4205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000855", "normalized_example_id": "ex_000855", "source_idx": 855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7008, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "600", "budget": 5606 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000855", "normalized_example_id": "ex_000855", "source_idx": 855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7008, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "600", "budget": 7008 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000855", "normalized_example_id": "ex_000855", "source_idx": 855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7008, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\left(\\frac{\\sqrt{a^{2}+1}}{a}, \\sqrt{a^{2}+1}\\right) \\text{ or } \\left(-\\frac{\\sqrt{a^{2}+1}}{a}, -\\sqrt{a^{2}+1}\\right)", "budget": 1504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000856", "normalized_example_id": "ex_000856", "source_idx": 856, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2506, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\left(\\frac{\\sqrt{a^{2}+1}}{a}, \\sqrt{a^{2}+1}\\right) \\text{ or } \\left(-\\frac{\\sqrt{a^{2}+1}}{a}, -\\sqrt{a^{2}+1}\\right)", "budget": 2005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000856", "normalized_example_id": "ex_000856", "source_idx": 856, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2506, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\left(\\frac{\\sqrt{a^{2}+1}}{a}, \\sqrt{a^{2}+1}\\right) \\text{ or } \\left(-\\frac{\\sqrt{a^{2}+1}}{a}, -\\sqrt{a^{2}+1}\\right)", "budget": 2506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000856", "normalized_example_id": "ex_000856", "source_idx": 856, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2506, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 2336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000857", "normalized_example_id": "ex_000857", "source_idx": 857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3893, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 3114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000857", "normalized_example_id": "ex_000857", "source_idx": 857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3893, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 3893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000857", "normalized_example_id": "ex_000857", "source_idx": 857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3893, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{133}}{7}", "budget": 1879 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000858", "normalized_example_id": "ex_000858", "source_idx": 858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3132, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{133}}{7}", "budget": 2506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000858", "normalized_example_id": "ex_000858", "source_idx": 858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3132, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{133}}{7}", "budget": 3132 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000858", "normalized_example_id": "ex_000858", "source_idx": 858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3132, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Yes", "budget": 959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000863", "normalized_example_id": "ex_000863", "source_idx": 863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1599, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Yes", "budget": 1279 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000863", "normalized_example_id": "ex_000863", "source_idx": 863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1599, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Yes", "budget": 1599 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000863", "normalized_example_id": "ex_000863", "source_idx": 863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1599, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "337", "budget": 5102 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000864", "normalized_example_id": "ex_000864", "source_idx": 864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8503, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "337", "budget": 6802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000864", "normalized_example_id": "ex_000864", "source_idx": 864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8503, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "337", "budget": 8503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000864", "normalized_example_id": "ex_000864", "source_idx": 864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8503, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "189", "budget": 857 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000865", "normalized_example_id": "ex_000865", "source_idx": 865, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1428, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "189", "budget": 1142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000865", "normalized_example_id": "ex_000865", "source_idx": 865, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1428, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "189", "budget": 1428 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000865", "normalized_example_id": "ex_000865", "source_idx": 865, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1428, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8(11+\\sqrt{34})(\\mathrm{M}^{2})", "budget": 3724 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000866", "normalized_example_id": "ex_000866", "source_idx": 866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6207, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8(11+\\sqrt{34})(\\mathrm{M}^{2})", "budget": 4966 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000866", "normalized_example_id": "ex_000866", "source_idx": 866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6207, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8(11+\\sqrt{34})(\\mathrm{M}^{2})", "budget": 6207 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000866", "normalized_example_id": "ex_000866", "source_idx": 866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6207, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000868", "normalized_example_id": "ex_000868", "source_idx": 868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6581, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000868", "normalized_example_id": "ex_000868", "source_idx": 868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6581, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6581 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000868", "normalized_example_id": "ex_000868", "source_idx": 868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6581, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p^{p}", "budget": 5395 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000869", "normalized_example_id": "ex_000869", "source_idx": 869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8992, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p^{p}", "budget": 7194 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000869", "normalized_example_id": "ex_000869", "source_idx": 869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8992, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p^{p}", "budget": 8992 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000869", "normalized_example_id": "ex_000869", "source_idx": 869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8992, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156", "budget": 3966 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000870", "normalized_example_id": "ex_000870", "source_idx": 870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6610, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156", "budget": 5288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000870", "normalized_example_id": "ex_000870", "source_idx": 870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6610, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156", "budget": 6610 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000870", "normalized_example_id": "ex_000870", "source_idx": 870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6610, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000871", "normalized_example_id": "ex_000871", "source_idx": 871, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6182, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000871", "normalized_example_id": "ex_000871", "source_idx": 871, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6182, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000871", "normalized_example_id": "ex_000871", "source_idx": 871, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6182, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\angleDEO=90", "budget": 3043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000873", "normalized_example_id": "ex_000873", "source_idx": 873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5072, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\angleDEO=90", "budget": 4058 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000873", "normalized_example_id": "ex_000873", "source_idx": 873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5072, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\angleDEO=90", "budget": 5072 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000873", "normalized_example_id": "ex_000873", "source_idx": 873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5072, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-3\\cos^{2}x\\sinx", "budget": 943 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000874", "normalized_example_id": "ex_000874", "source_idx": 874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1572, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-3\\cos^{2}x\\sinx", "budget": 1258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000874", "normalized_example_id": "ex_000874", "source_idx": 874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1572, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-3\\cos^{2}x\\sinx", "budget": 1572 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000874", "normalized_example_id": "ex_000874", "source_idx": 874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1572, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[9-2\\sqrt{2},9+2\\sqrt{3}]", "budget": 4922 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000875", "normalized_example_id": "ex_000875", "source_idx": 875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8203, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[9-2\\sqrt{2},9+2\\sqrt{3}]", "budget": 6562 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000875", "normalized_example_id": "ex_000875", "source_idx": 875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8203, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[9-2\\sqrt{2},9+2\\sqrt{3}]", "budget": 8203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000875", "normalized_example_id": "ex_000875", "source_idx": 875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8203, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "89", "budget": 5939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000876", "normalized_example_id": "ex_000876", "source_idx": 876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9898, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "89", "budget": 7918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000876", "normalized_example_id": "ex_000876", "source_idx": 876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9898, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "89", "budget": 9898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000876", "normalized_example_id": "ex_000876", "source_idx": 876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9898, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "904", "budget": 4913 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000877", "normalized_example_id": "ex_000877", "source_idx": 877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8189, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "904", "budget": 6551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000877", "normalized_example_id": "ex_000877", "source_idx": 877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8189, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "904", "budget": 8189 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000877", "normalized_example_id": "ex_000877", "source_idx": 877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8189, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}(\\sqrt[3]{2017}+\\sqrt[3]{2016}-1)", "budget": 3182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000878", "normalized_example_id": "ex_000878", "source_idx": 878, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5304, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}(\\sqrt[3]{2017}+\\sqrt[3]{2016}-1)", "budget": 4243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000878", "normalized_example_id": "ex_000878", "source_idx": 878, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5304, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}(\\sqrt[3]{2017}+\\sqrt[3]{2016}-1)", "budget": 5304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000878", "normalized_example_id": "ex_000878", "source_idx": 878, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5304, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 4807 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000880", "normalized_example_id": "ex_000880", "source_idx": 880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8012, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 6410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000880", "normalized_example_id": "ex_000880", "source_idx": 880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8012, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 8012 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000880", "normalized_example_id": "ex_000880", "source_idx": 880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8012, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1346 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000881", "normalized_example_id": "ex_000881", "source_idx": 881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2243, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1794 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000881", "normalized_example_id": "ex_000881", "source_idx": 881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2243, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 2243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000881", "normalized_example_id": "ex_000881", "source_idx": 881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2243, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1000", "budget": 3838 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000882", "normalized_example_id": "ex_000882", "source_idx": 882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6397, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1000", "budget": 5118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000882", "normalized_example_id": "ex_000882", "source_idx": 882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6397, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1000", "budget": 6397 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000882", "normalized_example_id": "ex_000882", "source_idx": 882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6397, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1889 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000883", "normalized_example_id": "ex_000883", "source_idx": 883, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3148, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2518 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000883", "normalized_example_id": "ex_000883", "source_idx": 883, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3148, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3148 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000883", "normalized_example_id": "ex_000883", "source_idx": 883, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3148, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3\\times10or4\\times6", "budget": 1042 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000884", "normalized_example_id": "ex_000884", "source_idx": 884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3\\times10or4\\times6", "budget": 1389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000884", "normalized_example_id": "ex_000884", "source_idx": 884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3\\times10or4\\times6", "budget": 1736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000884", "normalized_example_id": "ex_000884", "source_idx": 884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 4480 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000886", "normalized_example_id": "ex_000886", "source_idx": 886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7467, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 5974 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000886", "normalized_example_id": "ex_000886", "source_idx": 886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7467, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 7467 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000886", "normalized_example_id": "ex_000886", "source_idx": 886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7467, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}\\mathrm{~}", "budget": 4457 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000888", "normalized_example_id": "ex_000888", "source_idx": 888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7428, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}\\mathrm{~}", "budget": 5942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000888", "normalized_example_id": "ex_000888", "source_idx": 888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7428, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}\\mathrm{~}", "budget": 7428 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000888", "normalized_example_id": "ex_000888", "source_idx": 888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7428, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4584 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000894", "normalized_example_id": "ex_000894", "source_idx": 894, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7640, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000894", "normalized_example_id": "ex_000894", "source_idx": 894, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7640, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000894", "normalized_example_id": "ex_000894", "source_idx": 894, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7640, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017!+2018", "budget": 3734 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000895", "normalized_example_id": "ex_000895", "source_idx": 895, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6224, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017!+2018", "budget": 4979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000895", "normalized_example_id": "ex_000895", "source_idx": 895, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6224, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017!+2018", "budget": 6224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000895", "normalized_example_id": "ex_000895", "source_idx": 895, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6224, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 1845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000896", "normalized_example_id": "ex_000896", "source_idx": 896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3075, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2460 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000896", "normalized_example_id": "ex_000896", "source_idx": 896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3075, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 3075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000896", "normalized_example_id": "ex_000896", "source_idx": 896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3075, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,5,5),(4,5,1),(6,4,9)", "budget": 4410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000897", "normalized_example_id": "ex_000897", "source_idx": 897, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7350, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,5,5),(4,5,1),(6,4,9)", "budget": 5880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000897", "normalized_example_id": "ex_000897", "source_idx": 897, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7350, "...