prompt
listlengths
2
2
label
dict
metadata
dict
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\ln\\frac{7^{3}}{3^{2}}", "budget": 3414 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005842", "normalized_example_id": "ex_005842", "source_idx": 5842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5690, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\ln\\frac{7^{3}}{3^{2}}", "budget": 4552 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005842", "normalized_example_id": "ex_005842", "source_idx": 5842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5690, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\ln\\frac{7^{3}}{3^{2}}", "budget": 5690 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005842", "normalized_example_id": "ex_005842", "source_idx": 5842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5690, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "47", "budget": 5330 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005843", "normalized_example_id": "ex_005843", "source_idx": 5843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8884, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "47", "budget": 7107 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005843", "normalized_example_id": "ex_005843", "source_idx": 5843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8884, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "47", "budget": 8884 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005843", "normalized_example_id": "ex_005843", "source_idx": 5843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8884, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,1", "budget": 5076 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005844", "normalized_example_id": "ex_005844", "source_idx": 5844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,1", "budget": 6768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005844", "normalized_example_id": "ex_005844", "source_idx": 5844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,1", "budget": 8460 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005844", "normalized_example_id": "ex_005844", "source_idx": 5844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8460, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005845", "normalized_example_id": "ex_005845", "source_idx": 5845, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005845", "normalized_example_id": "ex_005845", "source_idx": 5845, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 1182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005845", "normalized_example_id": "ex_005845", "source_idx": 5845, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1463 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005848", "normalized_example_id": "ex_005848", "source_idx": 5848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2438, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1950 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005848", "normalized_example_id": "ex_005848", "source_idx": 5848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2438, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 2438 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005848", "normalized_example_id": "ex_005848", "source_idx": 5848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2438, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1, 1, 1)", "budget": 4513 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005849", "normalized_example_id": "ex_005849", "source_idx": 5849, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1, 1, 1)", "budget": 6018 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005849", "normalized_example_id": "ex_005849", "source_idx": 5849, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1, 1, 1)", "budget": 7522 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005849", "normalized_example_id": "ex_005849", "source_idx": 5849, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=0,x_{2}=-10", "budget": 1787 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005850", "normalized_example_id": "ex_005850", "source_idx": 5850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=0,x_{2}=-10", "budget": 2383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005850", "normalized_example_id": "ex_005850", "source_idx": 5850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=0,x_{2}=-10", "budget": 2979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005850", "normalized_example_id": "ex_005850", "source_idx": 5850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{2}", "budget": 4184 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005851", "normalized_example_id": "ex_005851", "source_idx": 5851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6974, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{2}", "budget": 5579 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005851", "normalized_example_id": "ex_005851", "source_idx": 5851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6974, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{2}", "budget": 6974 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005851", "normalized_example_id": "ex_005851", "source_idx": 5851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6974, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 2365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005852", "normalized_example_id": "ex_005852", "source_idx": 5852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 3154 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005852", "normalized_example_id": "ex_005852", "source_idx": 5852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 3942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005852", "normalized_example_id": "ex_005852", "source_idx": 5852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 4536 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005853", "normalized_example_id": "ex_005853", "source_idx": 5853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7560, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 6048 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005853", "normalized_example_id": "ex_005853", "source_idx": 5853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7560, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 7560 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005853", "normalized_example_id": "ex_005853", "source_idx": 5853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7560, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{n}+2}{3}", "budget": 4463 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005855", "normalized_example_id": "ex_005855", "source_idx": 5855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7439, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{n}+2}{3}", "budget": 5951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005855", "normalized_example_id": "ex_005855", "source_idx": 5855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7439, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{n}+2}{3}", "budget": 7439 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005855", "normalized_example_id": "ex_005855", "source_idx": 5855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7439, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.9232", "budget": 2940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005857", "normalized_example_id": "ex_005857", "source_idx": 5857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.9232", "budget": 3920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005857", "normalized_example_id": "ex_005857", "source_idx": 5857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.9232", "budget": 4900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005857", "normalized_example_id": "ex_005857", "source_idx": 5857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 3712 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005861", "normalized_example_id": "ex_005861", "source_idx": 5861, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6187, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 4950 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005861", "normalized_example_id": "ex_005861", "source_idx": 5861, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6187, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 6187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005861", "normalized_example_id": "ex_005861", "source_idx": 5861, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6187, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50", "budget": 3566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005862", "normalized_example_id": "ex_005862", "source_idx": 5862, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50", "budget": 4754 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005862", "normalized_example_id": "ex_005862", "source_idx": 5862, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50", "budget": 5943 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005862", "normalized_example_id": "ex_005862", "source_idx": 5862, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2326 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005863", "normalized_example_id": "ex_005863", "source_idx": 5863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3876, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 3101 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005863", "normalized_example_id": "ex_005863", "source_idx": 5863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3876, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 3876 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005863", "normalized_example_id": "ex_005863", "source_idx": 5863, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3876, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{144}{\\sqrt{481}}\\approx6.5658", "budget": 4013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005864", "normalized_example_id": "ex_005864", "source_idx": 5864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6688, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{144}{\\sqrt{481}}\\approx6.5658", "budget": 5350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005864", "normalized_example_id": "ex_005864", "source_idx": 5864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6688, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{144}{\\sqrt{481}}\\approx6.5658", "budget": 6688 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005864", "normalized_example_id": "ex_005864", "source_idx": 5864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6688, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\sqrt{2}", "budget": 5737 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005865", "normalized_example_id": "ex_005865", "source_idx": 5865, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9561, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\sqrt{2}", "budget": 7649 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005865", "normalized_example_id": "ex_005865", "source_idx": 5865, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9561, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\sqrt{2}", "budget": 9561 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005865", "normalized_example_id": "ex_005865", "source_idx": 5865, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9561, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{9}", "budget": 2110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005866", "normalized_example_id": "ex_005866", "source_idx": 5866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3517, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{9}", "budget": 2814 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005866", "normalized_example_id": "ex_005866", "source_idx": 5866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3517, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{9}", "budget": 3517 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005866", "normalized_example_id": "ex_005866", "source_idx": 5866, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3517, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{17}{4};\\frac{5}{2})", "budget": 2711 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005868", "normalized_example_id": "ex_005868", "source_idx": 5868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4519, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{17}{4};\\frac{5}{2})", "budget": 3615 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005868", "normalized_example_id": "ex_005868", "source_idx": 5868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4519, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{17}{4};\\frac{5}{2})", "budget": 4519 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005868", "normalized_example_id": "ex_005868", "source_idx": 5868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4519, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3810 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005869", "normalized_example_id": "ex_005869", "source_idx": 5869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6350, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 5080 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005869", "normalized_example_id": "ex_005869", "source_idx": 5869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6350, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 6350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005869", "normalized_example_id": "ex_005869", "source_idx": 5869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6350, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 1954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005870", "normalized_example_id": "ex_005870", "source_idx": 5870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3256, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 2605 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005870", "normalized_example_id": "ex_005870", "source_idx": 5870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3256, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 3256 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005870", "normalized_example_id": "ex_005870", "source_idx": 5870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3256, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12:40", "budget": 956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005873", "normalized_example_id": "ex_005873", "source_idx": 5873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1593, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12:40", "budget": 1274 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005873", "normalized_example_id": "ex_005873", "source_idx": 5873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1593, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12:40", "budget": 1593 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005873", "normalized_example_id": "ex_005873", "source_idx": 5873, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1593, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=30,x_{2}=\\frac{1}{10000}", "budget": 2219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005874", "normalized_example_id": "ex_005874", "source_idx": 5874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=30,x_{2}=\\frac{1}{10000}", "budget": 2958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005874", "normalized_example_id": "ex_005874", "source_idx": 5874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=30,x_{2}=\\frac{1}{10000}", "budget": 3698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005874", "normalized_example_id": "ex_005874", "source_idx": 5874, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.4", "budget": 2087 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005875", "normalized_example_id": "ex_005875", "source_idx": 5875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3479, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.4", "budget": 2783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005875", "normalized_example_id": "ex_005875", "source_idx": 5875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3479, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.4", "budget": 3479 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005875", "normalized_example_id": "ex_005875", "source_idx": 5875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3479, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e - 1", "budget": 1023 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005876", "normalized_example_id": "ex_005876", "source_idx": 5876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e - 1", "budget": 1364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005876", "normalized_example_id": "ex_005876", "source_idx": 5876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e - 1", "budget": 1705 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005876", "normalized_example_id": "ex_005876", "source_idx": 5876, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{31}}{6}", "budget": 2281 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005880", "normalized_example_id": "ex_005880", "source_idx": 5880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3802, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{31}}{6}", "budget": 3042 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005880", "normalized_example_id": "ex_005880", "source_idx": 5880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3802, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{31}}{6}", "budget": 3802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005880", "normalized_example_id": "ex_005880", "source_idx": 5880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3802, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2533 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005882", "normalized_example_id": "ex_005882", "source_idx": 5882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4221, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3377 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005882", "normalized_example_id": "ex_005882", "source_idx": 5882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4221, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4221 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005882", "normalized_example_id": "ex_005882", "source_idx": 5882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4221, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3}}{3}", "budget": 2304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005885", "normalized_example_id": "ex_005885", "source_idx": 5885, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3}}{3}", "budget": 3072 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005885", "normalized_example_id": "ex_005885", "source_idx": 5885, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3}}{3}", "budget": 3840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005885", "normalized_example_id": "ex_005885", "source_idx": 5885, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "140", "budget": 1939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005886", "normalized_example_id": "ex_005886", "source_idx": 5886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3232, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "140", "budget": 2586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005886", "normalized_example_id": "ex_005886", "source_idx": 5886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3232, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "140", "budget": 3232 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005886", "normalized_example_id": "ex_005886", "source_idx": 5886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3232, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^n - 1}{2}", "budget": 3438 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005889", "normalized_example_id": "ex_005889", "source_idx": 5889, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5730, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^n - 1}{2}", "budget": 4584 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005889", "normalized_example_id": "ex_005889", "source_idx": 5889, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5730, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^n - 1}{2}", "budget": 5730 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005889", "normalized_example_id": "ex_005889", "source_idx": 5889, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5730, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2509 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005891", "normalized_example_id": "ex_005891", "source_idx": 5891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4181, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005891", "normalized_example_id": "ex_005891", "source_idx": 5891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4181, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4181 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005891", "normalized_example_id": "ex_005891", "source_idx": 5891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4181, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{e^{x}}{\\sqrt{1+e^{2x}}}", "budget": 3187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005892", "normalized_example_id": "ex_005892", "source_idx": 5892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5312, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{e^{x}}{\\sqrt{1+e^{2x}}}", "budget": 4250 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005892", "normalized_example_id": "ex_005892", "source_idx": 5892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5312, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{e^{x}}{\\sqrt{1+e^{2x}}}", "budget": 5312 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005892", "normalized_example_id": "ex_005892", "source_idx": 5892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5312, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2057 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005893", "normalized_example_id": "ex_005893", "source_idx": 5893, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2743 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005893", "normalized_example_id": "ex_005893", "source_idx": 5893, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005893", "normalized_example_id": "ex_005893", "source_idx": 5893, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4:3", "budget": 1865 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005895", "normalized_example_id": "ex_005895", "source_idx": 5895, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3109, ...