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": "\\frac{105}{16}", "budget": 4201 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004409", "normalized_example_id": "ex_004409", "source_idx": 4409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4201, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "660", "budget": 3723 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004410", "normalized_example_id": "ex_004410", "source_idx": 4410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "660", "budget": 4964 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004410", "normalized_example_id": "ex_004410", "source_idx": 4410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "660", "budget": 6205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004410", "normalized_example_id": "ex_004410", "source_idx": 4410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1567 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004417", "normalized_example_id": "ex_004417", "source_idx": 4417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2090 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004417", "normalized_example_id": "ex_004417", "source_idx": 4417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004417", "normalized_example_id": "ex_004417", "source_idx": 4417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}(y-z)", "budget": 4803 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004418", "normalized_example_id": "ex_004418", "source_idx": 4418, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}(y-z)", "budget": 6404 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004418", "normalized_example_id": "ex_004418", "source_idx": 4418, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}(y-z)", "budget": 8005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004418", "normalized_example_id": "ex_004418", "source_idx": 4418, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = \\frac{x^2 + 1}{2^x}", "budget": 3387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004419", "normalized_example_id": "ex_004419", "source_idx": 4419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5645, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = \\frac{x^2 + 1}{2^x}", "budget": 4516 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004419", "normalized_example_id": "ex_004419", "source_idx": 4419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5645, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = \\frac{x^2 + 1}{2^x}", "budget": 5645 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004419", "normalized_example_id": "ex_004419", "source_idx": 4419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5645, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 2567 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004422", "normalized_example_id": "ex_004422", "source_idx": 4422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4278, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 3422 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004422", "normalized_example_id": "ex_004422", "source_idx": 4422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4278, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 4278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004422", "normalized_example_id": "ex_004422", "source_idx": 4422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4278, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4091 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004426", "normalized_example_id": "ex_004426", "source_idx": 4426, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004426", "normalized_example_id": "ex_004426", "source_idx": 4426, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004426", "normalized_example_id": "ex_004426", "source_idx": 4426, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}\\pi(\\sqrt{10}-1)", "budget": 3185 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004428", "normalized_example_id": "ex_004428", "source_idx": 4428, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}\\pi(\\sqrt{10}-1)", "budget": 4247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004428", "normalized_example_id": "ex_004428", "source_idx": 4428, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}\\pi(\\sqrt{10}-1)", "budget": 5309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004428", "normalized_example_id": "ex_004428", "source_idx": 4428, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;12", "budget": 3355 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004429", "normalized_example_id": "ex_004429", "source_idx": 4429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;12", "budget": 4474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004429", "normalized_example_id": "ex_004429", "source_idx": 4429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;12", "budget": 5592 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004429", "normalized_example_id": "ex_004429", "source_idx": 4429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "87526608", "budget": 5021 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004431", "normalized_example_id": "ex_004431", "source_idx": 4431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "87526608", "budget": 6694 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004431", "normalized_example_id": "ex_004431", "source_idx": 4431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "87526608", "budget": 8368 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004431", "normalized_example_id": "ex_004431", "source_idx": 4431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "999", "budget": 5627 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004432", "normalized_example_id": "ex_004432", "source_idx": 4432, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9379, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "999", "budget": 7503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004432", "normalized_example_id": "ex_004432", "source_idx": 4432, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9379, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "999", "budget": 9379 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004432", "normalized_example_id": "ex_004432", "source_idx": 4432, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9379, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 3065 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004435", "normalized_example_id": "ex_004435", "source_idx": 4435, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5108, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 4086 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004435", "normalized_example_id": "ex_004435", "source_idx": 4435, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5108, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 5108 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004435", "normalized_example_id": "ex_004435", "source_idx": 4435, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5108, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{7}", "budget": 1365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004436", "normalized_example_id": "ex_004436", "source_idx": 4436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2275, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{7}", "budget": 1820 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004436", "normalized_example_id": "ex_004436", "source_idx": 4436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2275, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{7}", "budget": 2275 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004436", "normalized_example_id": "ex_004436", "source_idx": 4436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2275, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n^{2}+(n+1)^{2}", "budget": 2935 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004437", "normalized_example_id": "ex_004437", "source_idx": 4437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4892, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n^{2}+(n+1)^{2}", "budget": 3914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004437", "normalized_example_id": "ex_004437", "source_idx": 4437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4892, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n^{2}+(n+1)^{2}", "budget": 4892 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004437", "normalized_example_id": "ex_004437", "source_idx": 4437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4892, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{11}", "budget": 1300 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004438", "normalized_example_id": "ex_004438", "source_idx": 4438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2167, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{11}", "budget": 1734 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004438", "normalized_example_id": "ex_004438", "source_idx": 4438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2167, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{11}", "budget": 2167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004438", "normalized_example_id": "ex_004438", "source_idx": 4438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2167, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 2031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004439", "normalized_example_id": "ex_004439", "source_idx": 4439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 2708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004439", "normalized_example_id": "ex_004439", "source_idx": 4439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 3385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004439", "normalized_example_id": "ex_004439", "source_idx": 4439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "41", "budget": 2175 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004440", "normalized_example_id": "ex_004440", "source_idx": 4440, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3625, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "41", "budget": 2900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004440", "normalized_example_id": "ex_004440", "source_idx": 4440, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3625, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "41", "budget": 3625 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004440", "normalized_example_id": "ex_004440", "source_idx": 4440, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3625, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3535 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004441", "normalized_example_id": "ex_004441", "source_idx": 4441, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5891, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004441", "normalized_example_id": "ex_004441", "source_idx": 4441, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5891, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5891 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004441", "normalized_example_id": "ex_004441", "source_idx": 4441, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5891, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156", "budget": 3985 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004442", "normalized_example_id": "ex_004442", "source_idx": 4442, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6642, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156", "budget": 5314 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004442", "normalized_example_id": "ex_004442", "source_idx": 4442, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6642, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156", "budget": 6642 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004442", "normalized_example_id": "ex_004442", "source_idx": 4442, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6642, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 3507 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004444", "normalized_example_id": "ex_004444", "source_idx": 4444, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5845, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 4676 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004444", "normalized_example_id": "ex_004444", "source_idx": 4444, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5845, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 5845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004444", "normalized_example_id": "ex_004444", "source_idx": 4444, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5845, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1211", "budget": 6020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004445", "normalized_example_id": "ex_004445", "source_idx": 4445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1211", "budget": 8026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004445", "normalized_example_id": "ex_004445", "source_idx": 4445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1211", "budget": 10033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004445", "normalized_example_id": "ex_004445", "source_idx": 4445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8\\sqrt{(x^{2}+1)^{3}}", "budget": 1904 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004450", "normalized_example_id": "ex_004450", "source_idx": 4450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3174, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8\\sqrt{(x^{2}+1)^{3}}", "budget": 2539 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004450", "normalized_example_id": "ex_004450", "source_idx": 4450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3174, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8\\sqrt{(x^{2}+1)^{3}}", "budget": 3174 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004450", "normalized_example_id": "ex_004450", "source_idx": 4450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3174, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2\\sqrt{3}}{3}", "budget": 2002 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004451", "normalized_example_id": "ex_004451", "source_idx": 4451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2\\sqrt{3}}{3}", "budget": 2670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004451", "normalized_example_id": "ex_004451", "source_idx": 4451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2\\sqrt{3}}{3}", "budget": 3337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004451", "normalized_example_id": "ex_004451", "source_idx": 4451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a \\in (-\\infty, 0] \\cup \\left\\{ \\frac{9}{4} \\right\\}", "budget": 2657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004453", "normalized_example_id": "ex_004453", "source_idx": 4453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a \\in (-\\infty, 0] \\cup \\left\\{ \\frac{9}{4} \\right\\}", "budget": 3543 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004453", "normalized_example_id": "ex_004453", "source_idx": 4453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a \\in (-\\infty, 0] \\cup \\left\\{ \\frac{9}{4} \\right\\}", "budget": 4429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004453", "normalized_example_id": "ex_004453", "source_idx": 4453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1990", "budget": 3331 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004455", "normalized_example_id": "ex_004455", "source_idx": 4455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1990", "budget": 4441 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004455", "normalized_example_id": "ex_004455", "source_idx": 4455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1990", "budget": 5551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004455", "normalized_example_id": "ex_004455", "source_idx": 4455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004456", "normalized_example_id": "ex_004456", "source_idx": 4456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4098, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004456", "normalized_example_id": "ex_004456", "source_idx": 4456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4098, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4098 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004456", "normalized_example_id": "ex_004456", "source_idx": 4456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4098, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot6=78", "budget": 2980 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004457", "normalized_example_id": "ex_004457", "source_idx": 4457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4966, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot6=78", "budget": 3973 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004457", "normalized_example_id": "ex_004457", "source_idx": 4457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4966, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot6=78", "budget": 4966 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004457", "normalized_example_id": "ex_004457", "source_idx": 4457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4966, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} a b}{4}", "budget": 6127 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004460", "normalized_example_id": "ex_004460", "source_idx": 4460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10211, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} a b}{4}", "budget": 8169 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004460", "normalized_example_id": "ex_004460", "source_idx": 4460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10211, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} a b}{4}", "budget": 10211 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004460", "normalized_example_id": "ex_004460", "source_idx": 4460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10211, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "113", "budget": 1803 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004462", "normalized_example_id": "ex_004462", "source_idx": 4462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "113", "budget": 2404 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004462", "normalized_example_id": "ex_004462", "source_idx": 4462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "113", "budget": 3005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004462", "normalized_example_id": "ex_004462", "source_idx": 4462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4415 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004466", "normalized_example_id": "ex_004466", "source_idx": 4466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7358, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004466", "normalized_example_id": "ex_004466", "source_idx": 4466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7358, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004466", "normalized_example_id": "ex_004466", "source_idx": 4466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7358, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 2213 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004468", "normalized_example_id": "ex_004468", "source_idx": 4468, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3689, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 2951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004468", "normalized_example_id": "ex_004468", "source_idx": 4468, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3689, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 3689 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004468", "normalized_example_id": "ex_004468", "source_idx": 4468, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3689, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1089", "budget": 1486 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004472", "normalized_example_id": "ex_004472", "source_idx": 4472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2476, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1089", "budget": 1981 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004472", "normalized_example_id": "ex_004472", "source_idx": 4472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2476, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1089", "budget": 2476 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004472", "normalized_example_id": "ex_004472", "source_idx": 4472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2476, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\sigma \\text{ and } 2 \\pi", "budget": 813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004474", "normalized_example_id": "ex_004474", "source_idx": 4474, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1355, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\sigma \\text{ and } 2 \\pi", "budget": 1084 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004474", "normalized_example_id": "ex_004474", "source_idx": 4474, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1355, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\sigma \\text{ and } 2 \\pi", "budget": 1355 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004474", "normalized_example_id": "ex_004474", "source_idx": 4474, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1355, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4652 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004475", "normalized_example_id": "ex_004475", "source_idx": 4475, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004475", "normalized_example_id": "ex_004475", "source_idx": 4475, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7754 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004475", "normalized_example_id": "ex_004475", "source_idx": 4475, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7754, ...