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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": "f(x)=\\frac{x^{2}+2007x-6028}{3(x-1)}", "budget": 3790 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001756", "normalized_example_id": "ex_001756", "source_idx": 1756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4737, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=\\frac{x^{2}+2007x-6028}{3(x-1)}", "budget": 4737 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001756", "normalized_example_id": "ex_001756", "source_idx": 1756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4737, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^3", "budget": 1309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001759", "normalized_example_id": "ex_001759", "source_idx": 1759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^3", "budget": 1746 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001759", "normalized_example_id": "ex_001759", "source_idx": 1759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^3", "budget": 2182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001759", "normalized_example_id": "ex_001759", "source_idx": 1759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 4493 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001761", "normalized_example_id": "ex_001761", "source_idx": 1761, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7488, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 5990 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001761", "normalized_example_id": "ex_001761", "source_idx": 1761, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7488, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 7488 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001761", "normalized_example_id": "ex_001761", "source_idx": 1761, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7488, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+2\\sqrt{2}", "budget": 2876 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001764", "normalized_example_id": "ex_001764", "source_idx": 1764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4794, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+2\\sqrt{2}", "budget": 3835 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001764", "normalized_example_id": "ex_001764", "source_idx": 1764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4794, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+2\\sqrt{2}", "budget": 4794 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001764", "normalized_example_id": "ex_001764", "source_idx": 1764, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4794, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1248", "budget": 3611 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001765", "normalized_example_id": "ex_001765", "source_idx": 1765, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6018, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1248", "budget": 4814 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001765", "normalized_example_id": "ex_001765", "source_idx": 1765, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6018, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1248", "budget": 6018 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001765", "normalized_example_id": "ex_001765", "source_idx": 1765, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6018, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4444 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001768", "normalized_example_id": "ex_001768", "source_idx": 1768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7407, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001768", "normalized_example_id": "ex_001768", "source_idx": 1768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7407, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7407 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001768", "normalized_example_id": "ex_001768", "source_idx": 1768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7407, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n}}{2}", "budget": 4306 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001769", "normalized_example_id": "ex_001769", "source_idx": 1769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7176, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n}}{2}", "budget": 5741 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001769", "normalized_example_id": "ex_001769", "source_idx": 1769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7176, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n}}{2}", "budget": 7176 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001769", "normalized_example_id": "ex_001769", "source_idx": 1769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7176, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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!)^3", "budget": 885 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001770", "normalized_example_id": "ex_001770", "source_idx": 1770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1475, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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!)^3", "budget": 1180 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001770", "normalized_example_id": "ex_001770", "source_idx": 1770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1475, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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!)^3", "budget": 1475 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001770", "normalized_example_id": "ex_001770", "source_idx": 1770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1475, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=1-x", "budget": 3876 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001772", "normalized_example_id": "ex_001772", "source_idx": 1772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=1-x", "budget": 5168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001772", "normalized_example_id": "ex_001772", "source_idx": 1772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=1-x", "budget": 6460 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001772", "normalized_example_id": "ex_001772", "source_idx": 1772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "325", "budget": 3953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001773", "normalized_example_id": "ex_001773", "source_idx": 1773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6589, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "325", "budget": 5271 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001773", "normalized_example_id": "ex_001773", "source_idx": 1773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6589, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "325", "budget": 6589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001773", "normalized_example_id": "ex_001773", "source_idx": 1773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6589, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(4, 2)", "budget": 5116 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001774", "normalized_example_id": "ex_001774", "source_idx": 1774, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(4, 2)", "budget": 6821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001774", "normalized_example_id": "ex_001774", "source_idx": 1774, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(4, 2)", "budget": 8526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001774", "normalized_example_id": "ex_001774", "source_idx": 1774, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1992", "budget": 2817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001775", "normalized_example_id": "ex_001775", "source_idx": 1775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1992", "budget": 3756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001775", "normalized_example_id": "ex_001775", "source_idx": 1775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1992", "budget": 4695 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001775", "normalized_example_id": "ex_001775", "source_idx": 1775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "37.5", "budget": 3099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001777", "normalized_example_id": "ex_001777", "source_idx": 1777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "37.5", "budget": 4132 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001777", "normalized_example_id": "ex_001777", "source_idx": 1777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "37.5", "budget": 5165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001777", "normalized_example_id": "ex_001777", "source_idx": 1777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AB=1\\mathrm{~},BC=4\\mathrm{~},CD=10\\mathrm{~}", "budget": 652 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001778", "normalized_example_id": "ex_001778", "source_idx": 1778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1086, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AB=1\\mathrm{~},BC=4\\mathrm{~},CD=10\\mathrm{~}", "budget": 869 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001778", "normalized_example_id": "ex_001778", "source_idx": 1778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1086, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AB=1\\mathrm{~},BC=4\\mathrm{~},CD=10\\mathrm{~}", "budget": 1086 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001778", "normalized_example_id": "ex_001778", "source_idx": 1778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1086, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)\\\\frac{5}{12}", "budget": 1075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001779", "normalized_example_id": "ex_001779", "source_idx": 1779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)\\\\frac{5}{12}", "budget": 1433 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001779", "normalized_example_id": "ex_001779", "source_idx": 1779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)\\\\frac{5}{12}", "budget": 1791 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001779", "normalized_example_id": "ex_001779", "source_idx": 1779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50000", "budget": 1375 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001781", "normalized_example_id": "ex_001781", "source_idx": 1781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2292, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50000", "budget": 1834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001781", "normalized_example_id": "ex_001781", "source_idx": 1781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2292, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50000", "budget": 2292 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001781", "normalized_example_id": "ex_001781", "source_idx": 1781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2292, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2;1", "budget": 765 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001782", "normalized_example_id": "ex_001782", "source_idx": 1782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1275, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2;1", "budget": 1020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001782", "normalized_example_id": "ex_001782", "source_idx": 1782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1275, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2;1", "budget": 1275 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001782", "normalized_example_id": "ex_001782", "source_idx": 1782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1275, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.1164", "budget": 5420 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001783", "normalized_example_id": "ex_001783", "source_idx": 1783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.1164", "budget": 7226 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001783", "normalized_example_id": "ex_001783", "source_idx": 1783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.1164", "budget": 9033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001783", "normalized_example_id": "ex_001783", "source_idx": 1783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 3941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001784", "normalized_example_id": "ex_001784", "source_idx": 1784, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6568, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 5254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001784", "normalized_example_id": "ex_001784", "source_idx": 1784, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6568, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 6568 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001784", "normalized_example_id": "ex_001784", "source_idx": 1784, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6568, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 4505 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001785", "normalized_example_id": "ex_001785", "source_idx": 1785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7508, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 6006 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001785", "normalized_example_id": "ex_001785", "source_idx": 1785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7508, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 7508 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001785", "normalized_example_id": "ex_001785", "source_idx": 1785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7508, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 3600 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001786", "normalized_example_id": "ex_001786", "source_idx": 1786, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6000, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 4800 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001786", "normalized_example_id": "ex_001786", "source_idx": 1786, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6000, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 6000 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001786", "normalized_example_id": "ex_001786", "source_idx": 1786, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6000, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18000", "budget": 2863 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001790", "normalized_example_id": "ex_001790", "source_idx": 1790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18000", "budget": 3817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001790", "normalized_example_id": "ex_001790", "source_idx": 1790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18000", "budget": 4771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001790", "normalized_example_id": "ex_001790", "source_idx": 1790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1692 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001791", "normalized_example_id": "ex_001791", "source_idx": 1791, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2820, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2256 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001791", "normalized_example_id": "ex_001791", "source_idx": 1791, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2820, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2820 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001791", "normalized_example_id": "ex_001791", "source_idx": 1791, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2820, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1023", "budget": 1077 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001793", "normalized_example_id": "ex_001793", "source_idx": 1793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1795, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1023", "budget": 1436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001793", "normalized_example_id": "ex_001793", "source_idx": 1793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1795, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1023", "budget": 1795 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001793", "normalized_example_id": "ex_001793", "source_idx": 1793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1795, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "147", "budget": 1524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001794", "normalized_example_id": "ex_001794", "source_idx": 1794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2540, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "147", "budget": 2032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001794", "normalized_example_id": "ex_001794", "source_idx": 1794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2540, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "147", "budget": 2540 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001794", "normalized_example_id": "ex_001794", "source_idx": 1794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2540, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "86", "budget": 1855 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001795", "normalized_example_id": "ex_001795", "source_idx": 1795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "86", "budget": 2474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001795", "normalized_example_id": "ex_001795", "source_idx": 1795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "86", "budget": 3092 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001795", "normalized_example_id": "ex_001795", "source_idx": 1795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6 \\text{ of Diamonds}", "budget": 5887 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001797", "normalized_example_id": "ex_001797", "source_idx": 1797, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9811, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6 \\text{ of Diamonds}", "budget": 7849 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001797", "normalized_example_id": "ex_001797", "source_idx": 1797, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9811, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6 \\text{ of Diamonds}", "budget": 9811 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001797", "normalized_example_id": "ex_001797", "source_idx": 1797, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9811, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{27}", "budget": 3046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001799", "normalized_example_id": "ex_001799", "source_idx": 1799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5077, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{27}", "budget": 4062 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001799", "normalized_example_id": "ex_001799", "source_idx": 1799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5077, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{27}", "budget": 5077 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001799", "normalized_example_id": "ex_001799", "source_idx": 1799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5077, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001800", "normalized_example_id": "ex_001800", "source_idx": 1800, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8342, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6674 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001800", "normalized_example_id": "ex_001800", "source_idx": 1800, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8342, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8342 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001800", "normalized_example_id": "ex_001800", "source_idx": 1800, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8342, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001801", "normalized_example_id": "ex_001801", "source_idx": 1801, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001801", "normalized_example_id": "ex_001801", "source_idx": 1801, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001801", "normalized_example_id": "ex_001801", "source_idx": 1801, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{c + 1}{2}", "budget": 2676 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001803", "normalized_example_id": "ex_001803", "source_idx": 1803, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{c + 1}{2}", "budget": 3568 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001803", "normalized_example_id": "ex_001803", "source_idx": 1803, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{c + 1}{2}", "budget": 4460 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001803", "normalized_example_id": "ex_001803", "source_idx": 1803, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-27", "budget": 4204 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001804", "normalized_example_id": "ex_001804", "source_idx": 1804, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7006, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-27", "budget": 5605 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001804", "normalized_example_id": "ex_001804", "source_idx": 1804, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7006, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-27", "budget": 7006 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001804", "normalized_example_id": "ex_001804", "source_idx": 1804, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7006, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4076360", "budget": 1454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001806", "normalized_example_id": "ex_001806", "source_idx": 1806, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4076360", "budget": 1939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001806", "normalized_example_id": "ex_001806", "source_idx": 1806, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4076360", "budget": 2424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001806", "normalized_example_id": "ex_001806", "source_idx": 1806, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001810", "normalized_example_id": "ex_001810", "source_idx": 1810, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1566, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1253 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001810", "normalized_example_id": "ex_001810", "source_idx": 1810, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1566, ...