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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": "100", "budget": 1407 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004734", "normalized_example_id": "ex_004734", "source_idx": 4734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1759, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "100", "budget": 1759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004734", "normalized_example_id": "ex_004734", "source_idx": 4734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1759, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3710 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004735", "normalized_example_id": "ex_004735", "source_idx": 4735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4947 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004735", "normalized_example_id": "ex_004735", "source_idx": 4735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6184 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004735", "normalized_example_id": "ex_004735", "source_idx": 4735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{1 + a}", "budget": 1350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004737", "normalized_example_id": "ex_004737", "source_idx": 4737, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2250, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{1 + a}", "budget": 1800 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004737", "normalized_example_id": "ex_004737", "source_idx": 4737, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2250, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{1 + a}", "budget": 2250 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004737", "normalized_example_id": "ex_004737", "source_idx": 4737, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2250, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "43", "budget": 1980 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004738", "normalized_example_id": "ex_004738", "source_idx": 4738, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3300, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "43", "budget": 2640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004738", "normalized_example_id": "ex_004738", "source_idx": 4738, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3300, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "43", "budget": 3300 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004738", "normalized_example_id": "ex_004738", "source_idx": 4738, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3300, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=5, m=9", "budget": 4004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004739", "normalized_example_id": "ex_004739", "source_idx": 4739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6673, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p=5, m=9", "budget": 5338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004739", "normalized_example_id": "ex_004739", "source_idx": 4739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6673, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p=5, m=9", "budget": 6673 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004739", "normalized_example_id": "ex_004739", "source_idx": 4739, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6673, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{4}", "budget": 6001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004741", "normalized_example_id": "ex_004741", "source_idx": 4741, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{4}", "budget": 8001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004741", "normalized_example_id": "ex_004741", "source_idx": 4741, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{4}", "budget": 10001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004741", "normalized_example_id": "ex_004741", "source_idx": 4741, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3^{2024}-1}{4\\cdot3^{2023}}", "budget": 3419 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004742", "normalized_example_id": "ex_004742", "source_idx": 4742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3^{2024}-1}{4\\cdot3^{2023}}", "budget": 4558 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004742", "normalized_example_id": "ex_004742", "source_idx": 4742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3^{2024}-1}{4\\cdot3^{2023}}", "budget": 5698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004742", "normalized_example_id": "ex_004742", "source_idx": 4742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,9)", "budget": 3259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004743", "normalized_example_id": "ex_004743", "source_idx": 4743, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5431, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,9)", "budget": 4345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004743", "normalized_example_id": "ex_004743", "source_idx": 4743, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5431, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,9)", "budget": 5431 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004743", "normalized_example_id": "ex_004743", "source_idx": 4743, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5431, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\log_{2}3", "budget": 872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004745", "normalized_example_id": "ex_004745", "source_idx": 4745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1454, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\log_{2}3", "budget": 1163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004745", "normalized_example_id": "ex_004745", "source_idx": 4745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1454, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\log_{2}3", "budget": 1454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004745", "normalized_example_id": "ex_004745", "source_idx": 4745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1454, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1024", "budget": 3806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004747", "normalized_example_id": "ex_004747", "source_idx": 4747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6344, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1024", "budget": 5075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004747", "normalized_example_id": "ex_004747", "source_idx": 4747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6344, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1024", "budget": 6344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004747", "normalized_example_id": "ex_004747", "source_idx": 4747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6344, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4,22,14", "budget": 1684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004749", "normalized_example_id": "ex_004749", "source_idx": 4749, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4,22,14", "budget": 2245 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004749", "normalized_example_id": "ex_004749", "source_idx": 4749, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4,22,14", "budget": 2806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004749", "normalized_example_id": "ex_004749", "source_idx": 4749, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}", "budget": 862 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004751", "normalized_example_id": "ex_004751", "source_idx": 4751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1437, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}", "budget": 1150 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004751", "normalized_example_id": "ex_004751", "source_idx": 4751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1437, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}", "budget": 1437 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004751", "normalized_example_id": "ex_004751", "source_idx": 4751, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1437, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 653 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004753", "normalized_example_id": "ex_004753", "source_idx": 4753, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1089, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 871 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004753", "normalized_example_id": "ex_004753", "source_idx": 4753, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1089, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 1089 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004753", "normalized_example_id": "ex_004753", "source_idx": 4753, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1089, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\infty", "budget": 3979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004755", "normalized_example_id": "ex_004755", "source_idx": 4755, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6631, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\infty", "budget": 5305 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004755", "normalized_example_id": "ex_004755", "source_idx": 4755, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6631, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\infty", "budget": 6631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004755", "normalized_example_id": "ex_004755", "source_idx": 4755, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6631, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1188", "budget": 3701 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004759", "normalized_example_id": "ex_004759", "source_idx": 4759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6168, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1188", "budget": 4934 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004759", "normalized_example_id": "ex_004759", "source_idx": 4759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6168, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1188", "budget": 6168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004759", "normalized_example_id": "ex_004759", "source_idx": 4759, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6168, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "r:R=1:3", "budget": 4583 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004760", "normalized_example_id": "ex_004760", "source_idx": 4760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7638, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "r:R=1:3", "budget": 6110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004760", "normalized_example_id": "ex_004760", "source_idx": 4760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7638, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "r:R=1:3", "budget": 7638 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004760", "normalized_example_id": "ex_004760", "source_idx": 4760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7638, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004761", "normalized_example_id": "ex_004761", "source_idx": 4761, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5062 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004761", "normalized_example_id": "ex_004761", "source_idx": 4761, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004761", "normalized_example_id": "ex_004761", "source_idx": 4761, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y \\leqslant 0 \\text{ or } y \\geqslant 4", "budget": 2383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004763", "normalized_example_id": "ex_004763", "source_idx": 4763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y \\leqslant 0 \\text{ or } y \\geqslant 4", "budget": 3177 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004763", "normalized_example_id": "ex_004763", "source_idx": 4763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y \\leqslant 0 \\text{ or } y \\geqslant 4", "budget": 3971 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004763", "normalized_example_id": "ex_004763", "source_idx": 4763, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n+1)(2n+1)}{6}", "budget": 1411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004766", "normalized_example_id": "ex_004766", "source_idx": 4766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2352, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n+1)(2n+1)}{6}", "budget": 1882 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004766", "normalized_example_id": "ex_004766", "source_idx": 4766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2352, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n+1)(2n+1)}{6}", "budget": 2352 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004766", "normalized_example_id": "ex_004766", "source_idx": 4766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2352, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1011^2", "budget": 1258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004768", "normalized_example_id": "ex_004768", "source_idx": 4768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2096, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1011^2", "budget": 1677 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004768", "normalized_example_id": "ex_004768", "source_idx": 4768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2096, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1011^2", "budget": 2096 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004768", "normalized_example_id": "ex_004768", "source_idx": 4768, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2096, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{1983}{n}\\right)^n", "budget": 5336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004772", "normalized_example_id": "ex_004772", "source_idx": 4772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{1983}{n}\\right)^n", "budget": 7114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004772", "normalized_example_id": "ex_004772", "source_idx": 4772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{1983}{n}\\right)^n", "budget": 8893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004772", "normalized_example_id": "ex_004772", "source_idx": 4772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "496", "budget": 3047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004773", "normalized_example_id": "ex_004773", "source_idx": 4773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5079, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "496", "budget": 4063 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004773", "normalized_example_id": "ex_004773", "source_idx": 4773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5079, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "496", "budget": 5079 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004773", "normalized_example_id": "ex_004773", "source_idx": 4773, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5079, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2\\sqrt{6}}{3}", "budget": 4280 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004775", "normalized_example_id": "ex_004775", "source_idx": 4775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2\\sqrt{6}}{3}", "budget": 5706 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004775", "normalized_example_id": "ex_004775", "source_idx": 4775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2\\sqrt{6}}{3}", "budget": 7133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004775", "normalized_example_id": "ex_004775", "source_idx": 4775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7+19i", "budget": 1030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004777", "normalized_example_id": "ex_004777", "source_idx": 4777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1716, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7+19i", "budget": 1373 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004777", "normalized_example_id": "ex_004777", "source_idx": 4777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1716, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7+19i", "budget": 1716 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004777", "normalized_example_id": "ex_004777", "source_idx": 4777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1716, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "703", "budget": 2933 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004782", "normalized_example_id": "ex_004782", "source_idx": 4782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4889, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "703", "budget": 3911 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004782", "normalized_example_id": "ex_004782", "source_idx": 4782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4889, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "703", "budget": 4889 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004782", "normalized_example_id": "ex_004782", "source_idx": 4782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4889, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1002^2", "budget": 3202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004783", "normalized_example_id": "ex_004783", "source_idx": 4783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5336, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1002^2", "budget": 4269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004783", "normalized_example_id": "ex_004783", "source_idx": 4783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5336, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1002^2", "budget": 5336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004783", "normalized_example_id": "ex_004783", "source_idx": 4783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5336, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 5142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004785", "normalized_example_id": "ex_004785", "source_idx": 4785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8570, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 6856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004785", "normalized_example_id": "ex_004785", "source_idx": 4785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8570, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 8570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004785", "normalized_example_id": "ex_004785", "source_idx": 4785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8570, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{26}", "budget": 2363 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004788", "normalized_example_id": "ex_004788", "source_idx": 4788, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{26}", "budget": 3151 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004788", "normalized_example_id": "ex_004788", "source_idx": 4788, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{26}", "budget": 3939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004788", "normalized_example_id": "ex_004788", "source_idx": 4788, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1293 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004790", "normalized_example_id": "ex_004790", "source_idx": 4790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2155, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1724 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004790", "normalized_example_id": "ex_004790", "source_idx": 4790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2155, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 2155 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004790", "normalized_example_id": "ex_004790", "source_idx": 4790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2155, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 1199 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004793", "normalized_example_id": "ex_004793", "source_idx": 4793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1999, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 1599 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004793", "normalized_example_id": "ex_004793", "source_idx": 4793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1999, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 1999 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004793", "normalized_example_id": "ex_004793", "source_idx": 4793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1999, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 977 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004794", "normalized_example_id": "ex_004794", "source_idx": 4794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1628, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 1302 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004794", "normalized_example_id": "ex_004794", "source_idx": 4794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1628, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 1628 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004794", "normalized_example_id": "ex_004794", "source_idx": 4794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1628, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 5910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004795", "normalized_example_id": "ex_004795", "source_idx": 4795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9850, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 7880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004795", "normalized_example_id": "ex_004795", "source_idx": 4795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9850, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 9850 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004795", "normalized_example_id": "ex_004795", "source_idx": 4795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9850, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004796", "normalized_example_id": "ex_004796", "source_idx": 4796, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004796", "normalized_example_id": "ex_004796", "source_idx": 4796, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004796", "normalized_example_id": "ex_004796", "source_idx": 4796, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.622", "budget": 3364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004798", "normalized_example_id": "ex_004798", "source_idx": 4798, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5607, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.622", "budget": 4486 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004798", "normalized_example_id": "ex_004798", "source_idx": 4798, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5607, ...