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": "20a", "budget": 2155 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006591", "normalized_example_id": "ex_006591", "source_idx": 6591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3591, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20a", "budget": 2873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006591", "normalized_example_id": "ex_006591", "source_idx": 6591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3591, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20a", "budget": 3591 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006591", "normalized_example_id": "ex_006591", "source_idx": 6591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3591, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2235", "budget": 2506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006592", "normalized_example_id": "ex_006592", "source_idx": 6592, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4176, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2235", "budget": 3341 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006592", "normalized_example_id": "ex_006592", "source_idx": 6592, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4176, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2235", "budget": 4176 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006592", "normalized_example_id": "ex_006592", "source_idx": 6592, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4176, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006593", "normalized_example_id": "ex_006593", "source_idx": 6593, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1822, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1458 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006593", "normalized_example_id": "ex_006593", "source_idx": 6593, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1822, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1822 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006593", "normalized_example_id": "ex_006593", "source_idx": 6593, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1822, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4457 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006597", "normalized_example_id": "ex_006597", "source_idx": 6597, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5943 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006597", "normalized_example_id": "ex_006597", "source_idx": 6597, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006597", "normalized_example_id": "ex_006597", "source_idx": 6597, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7429, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-10", "budget": 2884 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006598", "normalized_example_id": "ex_006598", "source_idx": 6598, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4807, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-10", "budget": 3846 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006598", "normalized_example_id": "ex_006598", "source_idx": 6598, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4807, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-10", "budget": 4807 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006598", "normalized_example_id": "ex_006598", "source_idx": 6598, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4807, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006599", "normalized_example_id": "ex_006599", "source_idx": 6599, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6718, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006599", "normalized_example_id": "ex_006599", "source_idx": 6599, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6718, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006599", "normalized_example_id": "ex_006599", "source_idx": 6599, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6718, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x-\\frac{4}{5})^{2}+(y-\\frac{3}{5})^{2}=5or(x-4)^{2}+(y+1)^{2}=5", "budget": 3952 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006600", "normalized_example_id": "ex_006600", "source_idx": 6600, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6586, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x-\\frac{4}{5})^{2}+(y-\\frac{3}{5})^{2}=5or(x-4)^{2}+(y+1)^{2}=5", "budget": 5269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006600", "normalized_example_id": "ex_006600", "source_idx": 6600, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6586, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x-\\frac{4}{5})^{2}+(y-\\frac{3}{5})^{2}=5or(x-4)^{2}+(y+1)^{2}=5", "budget": 6586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006600", "normalized_example_id": "ex_006600", "source_idx": 6600, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6586, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}]+1", "budget": 3681 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006601", "normalized_example_id": "ex_006601", "source_idx": 6601, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}]+1", "budget": 4908 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006601", "normalized_example_id": "ex_006601", "source_idx": 6601, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}]+1", "budget": 6135 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006601", "normalized_example_id": "ex_006601", "source_idx": 6601, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "179", "budget": 4942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006603", "normalized_example_id": "ex_006603", "source_idx": 6603, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8237, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "179", "budget": 6590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006603", "normalized_example_id": "ex_006603", "source_idx": 6603, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8237, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "179", "budget": 8237 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006603", "normalized_example_id": "ex_006603", "source_idx": 6603, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8237, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1296 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006604", "normalized_example_id": "ex_006604", "source_idx": 6604, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2160, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1728 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006604", "normalized_example_id": "ex_006604", "source_idx": 6604, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2160, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 2160 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006604", "normalized_example_id": "ex_006604", "source_idx": 6604, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2160, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{\\sqrt{3}}{4}", "budget": 2385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006609", "normalized_example_id": "ex_006609", "source_idx": 6609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3975, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{\\sqrt{3}}{4}", "budget": 3180 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006609", "normalized_example_id": "ex_006609", "source_idx": 6609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3975, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{\\sqrt{3}}{4}", "budget": 3975 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006609", "normalized_example_id": "ex_006609", "source_idx": 6609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3975, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 5924 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006610", "normalized_example_id": "ex_006610", "source_idx": 6610, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 7898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006610", "normalized_example_id": "ex_006610", "source_idx": 6610, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 9873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006610", "normalized_example_id": "ex_006610", "source_idx": 6610, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12560", "budget": 4856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006611", "normalized_example_id": "ex_006611", "source_idx": 6611, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8094, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12560", "budget": 6475 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006611", "normalized_example_id": "ex_006611", "source_idx": 6611, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8094, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12560", "budget": 8094 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006611", "normalized_example_id": "ex_006611", "source_idx": 6611, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8094, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "667", "budget": 1327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006612", "normalized_example_id": "ex_006612", "source_idx": 6612, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2211, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "667", "budget": 1769 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006612", "normalized_example_id": "ex_006612", "source_idx": 6612, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2211, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "667", "budget": 2211 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006612", "normalized_example_id": "ex_006612", "source_idx": 6612, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2211, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 3661 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006613", "normalized_example_id": "ex_006613", "source_idx": 6613, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6101, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 4881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006613", "normalized_example_id": "ex_006613", "source_idx": 6613, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6101, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 6101 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006613", "normalized_example_id": "ex_006613", "source_idx": 6613, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6101, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2826 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006615", "normalized_example_id": "ex_006615", "source_idx": 6615, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4710, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006615", "normalized_example_id": "ex_006615", "source_idx": 6615, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4710, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4710 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006615", "normalized_example_id": "ex_006615", "source_idx": 6615, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4710, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "52", "budget": 2014 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006616", "normalized_example_id": "ex_006616", "source_idx": 6616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3357, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "52", "budget": 2686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006616", "normalized_example_id": "ex_006616", "source_idx": 6616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3357, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "52", "budget": 3357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006616", "normalized_example_id": "ex_006616", "source_idx": 6616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3357, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2207 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006617", "normalized_example_id": "ex_006617", "source_idx": 6617, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3678, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006617", "normalized_example_id": "ex_006617", "source_idx": 6617, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3678, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 3678 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006617", "normalized_example_id": "ex_006617", "source_idx": 6617, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3678, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1214 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006618", "normalized_example_id": "ex_006618", "source_idx": 6618, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2023, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1618 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006618", "normalized_example_id": "ex_006618", "source_idx": 6618, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2023, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2023 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006618", "normalized_example_id": "ex_006618", "source_idx": 6618, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2023, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006622", "normalized_example_id": "ex_006622", "source_idx": 6622, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006622", "normalized_example_id": "ex_006622", "source_idx": 6622, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006622", "normalized_example_id": "ex_006622", "source_idx": 6622, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1939, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 2359 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006623", "normalized_example_id": "ex_006623", "source_idx": 6623, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3932, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 3146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006623", "normalized_example_id": "ex_006623", "source_idx": 6623, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3932, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 3932 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006623", "normalized_example_id": "ex_006623", "source_idx": 6623, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3932, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1197", "budget": 3971 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006624", "normalized_example_id": "ex_006624", "source_idx": 6624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6618, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1197", "budget": 5294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006624", "normalized_example_id": "ex_006624", "source_idx": 6624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6618, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1197", "budget": 6618 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006624", "normalized_example_id": "ex_006624", "source_idx": 6624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6618, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15}\\mathrm{~}^{2}", "budget": 2155 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006629", "normalized_example_id": "ex_006629", "source_idx": 6629, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3591, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15}\\mathrm{~}^{2}", "budget": 2873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006629", "normalized_example_id": "ex_006629", "source_idx": 6629, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3591, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15}\\mathrm{~}^{2}", "budget": 3591 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006629", "normalized_example_id": "ex_006629", "source_idx": 6629, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3591, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x\\in(-\\infty;-\\sqrt[3]{5})\\cup(\\sqrt[6]{21};+\\infty)", "budget": 2918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006630", "normalized_example_id": "ex_006630", "source_idx": 6630, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4864, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x\\in(-\\infty;-\\sqrt[3]{5})\\cup(\\sqrt[6]{21};+\\infty)", "budget": 3891 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006630", "normalized_example_id": "ex_006630", "source_idx": 6630, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4864, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x\\in(-\\infty;-\\sqrt[3]{5})\\cup(\\sqrt[6]{21};+\\infty)", "budget": 4864 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006630", "normalized_example_id": "ex_006630", "source_idx": 6630, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4864, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 4099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006632", "normalized_example_id": "ex_006632", "source_idx": 6632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 5465 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006632", "normalized_example_id": "ex_006632", "source_idx": 6632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 6831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006632", "normalized_example_id": "ex_006632", "source_idx": 6632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5^{9}\\cdot2^{9}", "budget": 3364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006634", "normalized_example_id": "ex_006634", "source_idx": 6634, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5607, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5^{9}\\cdot2^{9}", "budget": 4486 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006634", "normalized_example_id": "ex_006634", "source_idx": 6634, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5607, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5^{9}\\cdot2^{9}", "budget": 5607 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006634", "normalized_example_id": "ex_006634", "source_idx": 6634, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5607, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "881", "budget": 2393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006636", "normalized_example_id": "ex_006636", "source_idx": 6636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "881", "budget": 3191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006636", "normalized_example_id": "ex_006636", "source_idx": 6636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "881", "budget": 3989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006636", "normalized_example_id": "ex_006636", "source_idx": 6636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 5083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006638", "normalized_example_id": "ex_006638", "source_idx": 6638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8471, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 6777 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006638", "normalized_example_id": "ex_006638", "source_idx": 6638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8471, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 8471 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006638", "normalized_example_id": "ex_006638", "source_idx": 6638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8471, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(995,1),(176,10),(80,21)", "budget": 2725 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006640", "normalized_example_id": "ex_006640", "source_idx": 6640, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4541, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(995,1),(176,10),(80,21)", "budget": 3633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006640", "normalized_example_id": "ex_006640", "source_idx": 6640, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4541, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(995,1),(176,10),(80,21)", "budget": 4541 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006640", "normalized_example_id": "ex_006640", "source_idx": 6640, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4541, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1100", "budget": 1849 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006641", "normalized_example_id": "ex_006641", "source_idx": 6641, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3081, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1100", "budget": 2465 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006641", "normalized_example_id": "ex_006641", "source_idx": 6641, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3081, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1100", "budget": 3081 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006641", "normalized_example_id": "ex_006641", "source_idx": 6641, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3081, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}", "budget": 1436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006643", "normalized_example_id": "ex_006643", "source_idx": 6643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}", "budget": 1915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006643", "normalized_example_id": "ex_006643", "source_idx": 6643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}", "budget": 2394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006643", "normalized_example_id": "ex_006643", "source_idx": 6643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\ln(1+e^{4})-1", "budget": 4837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006645", "normalized_example_id": "ex_006645", "source_idx": 6645, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8062, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\ln(1+e^{4})-1", "budget": 6450 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006645", "normalized_example_id": "ex_006645", "source_idx": 6645, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8062, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\ln(1+e^{4})-1", "budget": 8062 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006645", "normalized_example_id": "ex_006645", "source_idx": 6645, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8062, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 1565 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006646", "normalized_example_id": "ex_006646", "source_idx": 6646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2608, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 2086 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006646", "normalized_example_id": "ex_006646", "source_idx": 6646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2608, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 2608 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006646", "normalized_example_id": "ex_006646", "source_idx": 6646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2608, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5,6,8", "budget": 3130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006650", "normalized_example_id": "ex_006650", "source_idx": 6650, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5216, ...