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{p-1}{4}",
"budget": 4185
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005784",
"normalized_example_id": "ex_005784",
"source_idx": 5784,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4185,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "576",
"budget": 6025
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005786",
"normalized_example_id": "ex_005786",
"source_idx": 5786,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10041,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "576",
"budget": 8033
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005786",
"normalized_example_id": "ex_005786",
"source_idx": 5786,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10041,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "576",
"budget": 10041
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005786",
"normalized_example_id": "ex_005786",
"source_idx": 5786,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10041,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{320}",
"budget": 2204
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005787",
"normalized_example_id": "ex_005787",
"source_idx": 5787,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3673,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{320}",
"budget": 2938
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005787",
"normalized_example_id": "ex_005787",
"source_idx": 5787,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3673,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{320}",
"budget": 3673
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005787",
"normalized_example_id": "ex_005787",
"source_idx": 5787,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3673,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2n+1",
"budget": 1055
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005789",
"normalized_example_id": "ex_005789",
"source_idx": 5789,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1759,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2n+1",
"budget": 1407
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005789",
"normalized_example_id": "ex_005789",
"source_idx": 5789,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1759,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2n+1",
"budget": 1759
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005789",
"normalized_example_id": "ex_005789",
"source_idx": 5789,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1759,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-18",
"budget": 4178
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005790",
"normalized_example_id": "ex_005790",
"source_idx": 5790,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6964,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5571
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005790",
"normalized_example_id": "ex_005790",
"source_idx": 5790,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6964,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6964
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005790",
"normalized_example_id": "ex_005790",
"source_idx": 5790,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6964,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1010",
"budget": 2725
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005791",
"normalized_example_id": "ex_005791",
"source_idx": 5791,
"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": "1010",
"budget": 3633
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005791",
"normalized_example_id": "ex_005791",
"source_idx": 5791,
"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": "1010",
"budget": 4541
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005791",
"normalized_example_id": "ex_005791",
"source_idx": 5791,
"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": "B",
"budget": 842
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005794",
"normalized_example_id": "ex_005794",
"source_idx": 5794,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1404,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 1123
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005794",
"normalized_example_id": "ex_005794",
"source_idx": 5794,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1404,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 1404
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005794",
"normalized_example_id": "ex_005794",
"source_idx": 5794,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1404,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "25",
"budget": 3062
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005795",
"normalized_example_id": "ex_005795",
"source_idx": 5795,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5104,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "25",
"budget": 4083
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005795",
"normalized_example_id": "ex_005795",
"source_idx": 5795,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5104,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "25",
"budget": 5104
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005795",
"normalized_example_id": "ex_005795",
"source_idx": 5795,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5104,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "399",
"budget": 4121
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005797",
"normalized_example_id": "ex_005797",
"source_idx": 5797,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6868,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "399",
"budget": 5494
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005797",
"normalized_example_id": "ex_005797",
"source_idx": 5797,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6868,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "399",
"budget": 6868
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005797",
"normalized_example_id": "ex_005797",
"source_idx": 5797,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6868,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{72}",
"budget": 2410
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005798",
"normalized_example_id": "ex_005798",
"source_idx": 5798,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4016,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{72}",
"budget": 3213
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005798",
"normalized_example_id": "ex_005798",
"source_idx": 5798,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4016,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{72}",
"budget": 4016
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005798",
"normalized_example_id": "ex_005798",
"source_idx": 5798,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4016,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "621",
"budget": 2296
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005802",
"normalized_example_id": "ex_005802",
"source_idx": 5802,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3826,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "621",
"budget": 3061
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005802",
"normalized_example_id": "ex_005802",
"source_idx": 5802,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3826,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "621",
"budget": 3826
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005802",
"normalized_example_id": "ex_005802",
"source_idx": 5802,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3826,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "135",
"budget": 2477
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005805",
"normalized_example_id": "ex_005805",
"source_idx": 5805,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4129,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "135",
"budget": 3303
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005805",
"normalized_example_id": "ex_005805",
"source_idx": 5805,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4129,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "135",
"budget": 4129
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005805",
"normalized_example_id": "ex_005805",
"source_idx": 5805,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4129,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 3692
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005808",
"normalized_example_id": "ex_005808",
"source_idx": 5808,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6154,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 4923
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005808",
"normalized_example_id": "ex_005808",
"source_idx": 5808,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6154,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 6154
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005808",
"normalized_example_id": "ex_005808",
"source_idx": 5808,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6154,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=2x",
"budget": 2548
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005813",
"normalized_example_id": "ex_005813",
"source_idx": 5813,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4247,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=2x",
"budget": 3398
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005813",
"normalized_example_id": "ex_005813",
"source_idx": 5813,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4247,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=2x",
"budget": 4247
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005813",
"normalized_example_id": "ex_005813",
"source_idx": 5813,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4247,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\frac{a^2 + b^2 + \\sqrt{2}ab}{2}}",
"budget": 1891
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005814",
"normalized_example_id": "ex_005814",
"source_idx": 5814,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3152,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\frac{a^2 + b^2 + \\sqrt{2}ab}{2}}",
"budget": 2522
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005814",
"normalized_example_id": "ex_005814",
"source_idx": 5814,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3152,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\frac{a^2 + b^2 + \\sqrt{2}ab}{2}}",
"budget": 3152
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005814",
"normalized_example_id": "ex_005814",
"source_idx": 5814,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3152,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 1967
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005815",
"normalized_example_id": "ex_005815",
"source_idx": 5815,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3278,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 2622
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005815",
"normalized_example_id": "ex_005815",
"source_idx": 5815,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3278,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 3278
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005815",
"normalized_example_id": "ex_005815",
"source_idx": 5815,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3278,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\left(3 n^{2}-5 n+6\\right)",
"budget": 1014
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005816",
"normalized_example_id": "ex_005816",
"source_idx": 5816,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1690,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\left(3 n^{2}-5 n+6\\right)",
"budget": 1352
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005816",
"normalized_example_id": "ex_005816",
"source_idx": 5816,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1690,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\left(3 n^{2}-5 n+6\\right)",
"budget": 1690
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005816",
"normalized_example_id": "ex_005816",
"source_idx": 5816,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1690,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "86400",
"budget": 1315
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005817",
"normalized_example_id": "ex_005817",
"source_idx": 5817,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2191,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "86400",
"budget": 1753
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005817",
"normalized_example_id": "ex_005817",
"source_idx": 5817,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2191,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "86400",
"budget": 2191
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005817",
"normalized_example_id": "ex_005817",
"source_idx": 5817,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2191,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2981
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005818",
"normalized_example_id": "ex_005818",
"source_idx": 5818,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4969,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3975
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005818",
"normalized_example_id": "ex_005818",
"source_idx": 5818,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4969,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4969
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005818",
"normalized_example_id": "ex_005818",
"source_idx": 5818,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4969,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{x^{2}+1}}{x^{2}}",
"budget": 2522
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005820",
"normalized_example_id": "ex_005820",
"source_idx": 5820,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4204,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{x^{2}+1}}{x^{2}}",
"budget": 3363
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005820",
"normalized_example_id": "ex_005820",
"source_idx": 5820,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4204,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{x^{2}+1}}{x^{2}}",
"budget": 4204
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005820",
"normalized_example_id": "ex_005820",
"source_idx": 5820,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4204,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-\\frac{e^{x}}{\\sqrt{1-e^{2x}}\\cdot\\arcsin\\sqrt{1-e^{2x}}}",
"budget": 2782
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005821",
"normalized_example_id": "ex_005821",
"source_idx": 5821,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4637,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-\\frac{e^{x}}{\\sqrt{1-e^{2x}}\\cdot\\arcsin\\sqrt{1-e^{2x}}}",
"budget": 3710
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005821",
"normalized_example_id": "ex_005821",
"source_idx": 5821,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4637,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-\\frac{e^{x}}{\\sqrt{1-e^{2x}}\\cdot\\arcsin\\sqrt{1-e^{2x}}}",
"budget": 4637
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005821",
"normalized_example_id": "ex_005821",
"source_idx": 5821,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4637,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=x",
"budget": 4773
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005822",
"normalized_example_id": "ex_005822",
"source_idx": 5822,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7955,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=x",
"budget": 6364
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005822",
"normalized_example_id": "ex_005822",
"source_idx": 5822,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7955,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=x",
"budget": 7955
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005822",
"normalized_example_id": "ex_005822",
"source_idx": 5822,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7955,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "50",
"budget": 2415
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005823",
"normalized_example_id": "ex_005823",
"source_idx": 5823,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4025,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "50",
"budget": 3220
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005823",
"normalized_example_id": "ex_005823",
"source_idx": 5823,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4025,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "50",
"budget": 4025
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005823",
"normalized_example_id": "ex_005823",
"source_idx": 5823,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4025,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 836
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005824",
"normalized_example_id": "ex_005824",
"source_idx": 5824,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1394,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1115
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005824",
"normalized_example_id": "ex_005824",
"source_idx": 5824,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1394,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1394
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005824",
"normalized_example_id": "ex_005824",
"source_idx": 5824,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1394,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3399
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005825",
"normalized_example_id": "ex_005825",
"source_idx": 5825,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5665,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4532
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005825",
"normalized_example_id": "ex_005825",
"source_idx": 5825,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5665,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5665
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005825",
"normalized_example_id": "ex_005825",
"source_idx": 5825,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5665,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "r_a + r_b + r_c \\geq r",
"budget": 3659
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005826",
"normalized_example_id": "ex_005826",
"source_idx": 5826,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6098,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "r_a + r_b + r_c \\geq r",
"budget": 4878
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005826",
"normalized_example_id": "ex_005826",
"source_idx": 5826,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6098,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "r_a + r_b + r_c \\geq r",
"budget": 6098
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005826",
"normalized_example_id": "ex_005826",
"source_idx": 5826,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6098,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{n(n+1)(2n+1)}{6}",
"budget": 836
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005827",
"normalized_example_id": "ex_005827",
"source_idx": 5827,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1394,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{n(n+1)(2n+1)}{6}",
"budget": 1115
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005827",
"normalized_example_id": "ex_005827",
"source_idx": 5827,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1394,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{n(n+1)(2n+1)}{6}",
"budget": 1394
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005827",
"normalized_example_id": "ex_005827",
"source_idx": 5827,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1394,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+1)!-1",
"budget": 658
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005829",
"normalized_example_id": "ex_005829",
"source_idx": 5829,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1097,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+1)!-1",
"budget": 878
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005829",
"normalized_example_id": "ex_005829",
"source_idx": 5829,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1097,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+1)!-1",
"budget": 1097
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005829",
"normalized_example_id": "ex_005829",
"source_idx": 5829,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1097,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "78",
"budget": 3112
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005830",
"normalized_example_id": "ex_005830",
"source_idx": 5830,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5186,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "78",
"budget": 4149
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005830",
"normalized_example_id": "ex_005830",
"source_idx": 5830,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5186,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "78",
"budget": 5186
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005830",
"normalized_example_id": "ex_005830",
"source_idx": 5830,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5186,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "p+q-1",
"budget": 2070
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005834",
"normalized_example_id": "ex_005834",
"source_idx": 5834,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3450,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "p+q-1",
"budget": 2760
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005834",
"normalized_example_id": "ex_005834",
"source_idx": 5834,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3450,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "p+q-1",
"budget": 3450
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005834",
"normalized_example_id": "ex_005834",
"source_idx": 5834,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3450,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "30^{\\circ}",
"budget": 4341
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005835",
"normalized_example_id": "ex_005835",
"source_idx": 5835,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7235,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "30^{\\circ}",
"budget": 5788
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005835",
"normalized_example_id": "ex_005835",
"source_idx": 5835,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7235,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "30^{\\circ}",
"budget": 7235
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005835",
"normalized_example_id": "ex_005835",
"source_idx": 5835,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7235,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 958
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005838",
"normalized_example_id": "ex_005838",
"source_idx": 5838,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1597,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1278
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005838",
"normalized_example_id": "ex_005838",
"source_idx": 5838,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1597,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1597
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005838",
"normalized_example_id": "ex_005838",
"source_idx": 5838,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1597,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{-(b+1)^2}{4}",
"budget": 3008
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005839",
"normalized_example_id": "ex_005839",
"source_idx": 5839,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5014,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{-(b+1)^2}{4}",
"budget": 4011
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005839",
"normalized_example_id": "ex_005839",
"source_idx": 5839,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5014,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{-(b+1)^2}{4}",
"budget": 5014
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005839",
"normalized_example_id": "ex_005839",
"source_idx": 5839,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5014,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 2132
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005840",
"normalized_example_id": "ex_005840",
"source_idx": 5840,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3553,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 2842
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005840",
"normalized_example_id": "ex_005840",
"source_idx": 5840,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3553,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 3553
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005840",
"normalized_example_id": "ex_005840",
"source_idx": 5840,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3553,
... |
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