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": "120", "budget": 6832 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004536", "normalized_example_id": "ex_004536", "source_idx": 4536, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8540, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "120", "budget": 8540 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004536", "normalized_example_id": "ex_004536", "source_idx": 4536, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8540, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}{13},\\frac{9}{26},-\\frac{18}{13}", "budget": 1351 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004537", "normalized_example_id": "ex_004537", "source_idx": 4537, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}{13},\\frac{9}{26},-\\frac{18}{13}", "budget": 1801 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004537", "normalized_example_id": "ex_004537", "source_idx": 4537, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}{13},\\frac{9}{26},-\\frac{18}{13}", "budget": 2251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004537", "normalized_example_id": "ex_004537", "source_idx": 4537, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "629", "budget": 5027 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004539", "normalized_example_id": "ex_004539", "source_idx": 4539, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8378, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "629", "budget": 6702 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004539", "normalized_example_id": "ex_004539", "source_idx": 4539, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8378, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "629", "budget": 8378 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004539", "normalized_example_id": "ex_004539", "source_idx": 4539, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8378, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2n-1", "budget": 3410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004542", "normalized_example_id": "ex_004542", "source_idx": 4542, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5684, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2n-1", "budget": 4547 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004542", "normalized_example_id": "ex_004542", "source_idx": 4542, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5684, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2n-1", "budget": 5684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004542", "normalized_example_id": "ex_004542", "source_idx": 4542, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5684, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2,3,4,5,7,9,12,17", "budget": 1408 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004543", "normalized_example_id": "ex_004543", "source_idx": 4543, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2346, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2,3,4,5,7,9,12,17", "budget": 1877 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004543", "normalized_example_id": "ex_004543", "source_idx": 4543, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2346, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2,3,4,5,7,9,12,17", "budget": 2346 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004543", "normalized_example_id": "ex_004543", "source_idx": 4543, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2346, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.97", "budget": 1862 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004545", "normalized_example_id": "ex_004545", "source_idx": 4545, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.97", "budget": 2483 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004545", "normalized_example_id": "ex_004545", "source_idx": 4545, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.97", "budget": 3104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004545", "normalized_example_id": "ex_004545", "source_idx": 4545, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,q=3,r=19", "budget": 2475 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004546", "normalized_example_id": "ex_004546", "source_idx": 4546, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,q=3,r=19", "budget": 3300 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004546", "normalized_example_id": "ex_004546", "source_idx": 4546, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,q=3,r=19", "budget": 4125 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004546", "normalized_example_id": "ex_004546", "source_idx": 4546, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "22", "budget": 3118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004548", "normalized_example_id": "ex_004548", "source_idx": 4548, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5197, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "22", "budget": 4158 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004548", "normalized_example_id": "ex_004548", "source_idx": 4548, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5197, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "22", "budget": 5197 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004548", "normalized_example_id": "ex_004548", "source_idx": 4548, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5197, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 1217 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004549", "normalized_example_id": "ex_004549", "source_idx": 4549, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 1623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004549", "normalized_example_id": "ex_004549", "source_idx": 4549, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 2029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004549", "normalized_example_id": "ex_004549", "source_idx": 4549, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11-6\\sqrt{2}}{4}", "budget": 3512 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004552", "normalized_example_id": "ex_004552", "source_idx": 4552, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5854, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11-6\\sqrt{2}}{4}", "budget": 4683 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004552", "normalized_example_id": "ex_004552", "source_idx": 4552, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5854, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11-6\\sqrt{2}}{4}", "budget": 5854 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004552", "normalized_example_id": "ex_004552", "source_idx": 4552, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5854, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4925 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004554", "normalized_example_id": "ex_004554", "source_idx": 4554, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8208, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004554", "normalized_example_id": "ex_004554", "source_idx": 4554, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8208, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004554", "normalized_example_id": "ex_004554", "source_idx": 4554, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8208, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "428", "budget": 3542 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004556", "normalized_example_id": "ex_004556", "source_idx": 4556, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5903, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "428", "budget": 4722 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004556", "normalized_example_id": "ex_004556", "source_idx": 4556, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5903, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "428", "budget": 5903 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004556", "normalized_example_id": "ex_004556", "source_idx": 4556, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5903, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "181", "budget": 1592 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004557", "normalized_example_id": "ex_004557", "source_idx": 4557, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2653, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "181", "budget": 2122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004557", "normalized_example_id": "ex_004557", "source_idx": 4557, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2653, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "181", "budget": 2653 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004557", "normalized_example_id": "ex_004557", "source_idx": 4557, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2653, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "334", "budget": 1172 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004559", "normalized_example_id": "ex_004559", "source_idx": 4559, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1954, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "334", "budget": 1563 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004559", "normalized_example_id": "ex_004559", "source_idx": 4559, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1954, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "334", "budget": 1954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004559", "normalized_example_id": "ex_004559", "source_idx": 4559, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1954, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 2554 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004560", "normalized_example_id": "ex_004560", "source_idx": 4560, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4257, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 3406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004560", "normalized_example_id": "ex_004560", "source_idx": 4560, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4257, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 4257 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004560", "normalized_example_id": "ex_004560", "source_idx": 4560, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4257, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{15}", "budget": 3056 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004561", "normalized_example_id": "ex_004561", "source_idx": 4561, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5093, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{15}", "budget": 4074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004561", "normalized_example_id": "ex_004561", "source_idx": 4561, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5093, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{15}", "budget": 5093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004561", "normalized_example_id": "ex_004561", "source_idx": 4561, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5093, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2730", "budget": 5713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004563", "normalized_example_id": "ex_004563", "source_idx": 4563, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2730", "budget": 7618 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004563", "normalized_example_id": "ex_004563", "source_idx": 4563, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2730", "budget": 9522 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004563", "normalized_example_id": "ex_004563", "source_idx": 4563, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 3287 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004565", "normalized_example_id": "ex_004565", "source_idx": 4565, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5478, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 4382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004565", "normalized_example_id": "ex_004565", "source_idx": 4565, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5478, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 5478 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004565", "normalized_example_id": "ex_004565", "source_idx": 4565, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5478, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16}{5}", "budget": 2755 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004566", "normalized_example_id": "ex_004566", "source_idx": 4566, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16}{5}", "budget": 3674 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004566", "normalized_example_id": "ex_004566", "source_idx": 4566, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16}{5}", "budget": 4592 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004566", "normalized_example_id": "ex_004566", "source_idx": 4566, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5625", "budget": 1886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004567", "normalized_example_id": "ex_004567", "source_idx": 4567, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3144, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5625", "budget": 2515 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004567", "normalized_example_id": "ex_004567", "source_idx": 4567, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3144, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5625", "budget": 3144 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004567", "normalized_example_id": "ex_004567", "source_idx": 4567, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3144, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 4131 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004569", "normalized_example_id": "ex_004569", "source_idx": 4569, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6885, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 5508 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004569", "normalized_example_id": "ex_004569", "source_idx": 4569, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6885, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 6885 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004569", "normalized_example_id": "ex_004569", "source_idx": 4569, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6885, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 1890 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004572", "normalized_example_id": "ex_004572", "source_idx": 4572, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3150, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 2520 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004572", "normalized_example_id": "ex_004572", "source_idx": 4572, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3150, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 3150 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004572", "normalized_example_id": "ex_004572", "source_idx": 4572, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3150, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70950", "budget": 1445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004573", "normalized_example_id": "ex_004573", "source_idx": 4573, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2409, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70950", "budget": 1927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004573", "normalized_example_id": "ex_004573", "source_idx": 4573, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2409, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70950", "budget": 2409 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004573", "normalized_example_id": "ex_004573", "source_idx": 4573, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2409, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{273}}{9}", "budget": 3257 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004574", "normalized_example_id": "ex_004574", "source_idx": 4574, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{273}}{9}", "budget": 4343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004574", "normalized_example_id": "ex_004574", "source_idx": 4574, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{273}}{9}", "budget": 5429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004574", "normalized_example_id": "ex_004574", "source_idx": 4574, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-1}{2}", "budget": 2683 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004575", "normalized_example_id": "ex_004575", "source_idx": 4575, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-1}{2}", "budget": 3578 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004575", "normalized_example_id": "ex_004575", "source_idx": 4575, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-1}{2}", "budget": 4472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004575", "normalized_example_id": "ex_004575", "source_idx": 4575, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{3}}{4}R^{2}", "budget": 2243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004577", "normalized_example_id": "ex_004577", "source_idx": 4577, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3739, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{3}}{4}R^{2}", "budget": 2991 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004577", "normalized_example_id": "ex_004577", "source_idx": 4577, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3739, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{3}}{4}R^{2}", "budget": 3739 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004577", "normalized_example_id": "ex_004577", "source_idx": 4577, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3739, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}-1", "budget": 714 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004579", "normalized_example_id": "ex_004579", "source_idx": 4579, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}-1", "budget": 952 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004579", "normalized_example_id": "ex_004579", "source_idx": 4579, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}-1", "budget": 1190 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004579", "normalized_example_id": "ex_004579", "source_idx": 4579, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{35}", "budget": 2552 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004580", "normalized_example_id": "ex_004580", "source_idx": 4580, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4254, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{35}", "budget": 3403 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004580", "normalized_example_id": "ex_004580", "source_idx": 4580, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4254, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{35}", "budget": 4254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004580", "normalized_example_id": "ex_004580", "source_idx": 4580, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4254, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2509 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004582", "normalized_example_id": "ex_004582", "source_idx": 4582, "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": "2-\\sqrt{2}", "budget": 3345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004582", "normalized_example_id": "ex_004582", "source_idx": 4582, "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": "2-\\sqrt{2}", "budget": 4181 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004582", "normalized_example_id": "ex_004582", "source_idx": 4582, "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": "45", "budget": 1042 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004583", "normalized_example_id": "ex_004583", "source_idx": 4583, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004583", "normalized_example_id": "ex_004583", "source_idx": 4583, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004583", "normalized_example_id": "ex_004583", "source_idx": 4583, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004584", "normalized_example_id": "ex_004584", "source_idx": 4584, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1369, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1095 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004584", "normalized_example_id": "ex_004584", "source_idx": 4584, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1369, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1369 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004584", "normalized_example_id": "ex_004584", "source_idx": 4584, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1369, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1400 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004587", "normalized_example_id": "ex_004587", "source_idx": 4587, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004587", "normalized_example_id": "ex_004587", "source_idx": 4587, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004587", "normalized_example_id": "ex_004587", "source_idx": 4587, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1361 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004589", "normalized_example_id": "ex_004589", "source_idx": 4589, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2268, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1814 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004589", "normalized_example_id": "ex_004589", "source_idx": 4589, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2268, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2268 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004589", "normalized_example_id": "ex_004589", "source_idx": 4589, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2268, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 2873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004591", "normalized_example_id": "ex_004591", "source_idx": 4591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4788, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 3830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004591", "normalized_example_id": "ex_004591", "source_idx": 4591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4788, ...