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": "f(x)=1+x",
"budget": 2734
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006782",
"normalized_example_id": "ex_006782",
"source_idx": 6782,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4556,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=1+x",
"budget": 3645
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006782",
"normalized_example_id": "ex_006782",
"source_idx": 6782,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4556,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=1+x",
"budget": 4556
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006782",
"normalized_example_id": "ex_006782",
"source_idx": 6782,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4556,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "412",
"budget": 4759
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006784",
"normalized_example_id": "ex_006784",
"source_idx": 6784,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7931,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "412",
"budget": 6345
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006784",
"normalized_example_id": "ex_006784",
"source_idx": 6784,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7931,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "412",
"budget": 7931
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006784",
"normalized_example_id": "ex_006784",
"source_idx": 6784,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7931,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1898",
"budget": 5062
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006787",
"normalized_example_id": "ex_006787",
"source_idx": 6787,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8437,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1898",
"budget": 6750
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006787",
"normalized_example_id": "ex_006787",
"source_idx": 6787,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8437,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1898",
"budget": 8437
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006787",
"normalized_example_id": "ex_006787",
"source_idx": 6787,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8437,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{5}}[(\\frac{1+\\sqrt{5}}{2})^{n+1}-(\\frac{1-\\sqrt{5}}{2})^{n+1}]",
"budget": 1799
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006791",
"normalized_example_id": "ex_006791",
"source_idx": 6791,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2998,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{5}}[(\\frac{1+\\sqrt{5}}{2})^{n+1}-(\\frac{1-\\sqrt{5}}{2})^{n+1}]",
"budget": 2398
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006791",
"normalized_example_id": "ex_006791",
"source_idx": 6791,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2998,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{5}}[(\\frac{1+\\sqrt{5}}{2})^{n+1}-(\\frac{1-\\sqrt{5}}{2})^{n+1}]",
"budget": 2998
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006791",
"normalized_example_id": "ex_006791",
"source_idx": 6791,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2998,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}N|}{|NC_{1}|}=\\sqrt{2}+1",
"budget": 3361
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006793",
"normalized_example_id": "ex_006793",
"source_idx": 6793,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5601,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}N|}{|NC_{1}|}=\\sqrt{2}+1",
"budget": 4481
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006793",
"normalized_example_id": "ex_006793",
"source_idx": 6793,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5601,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}N|}{|NC_{1}|}=\\sqrt{2}+1",
"budget": 5601
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006793",
"normalized_example_id": "ex_006793",
"source_idx": 6793,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5601,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2587
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006795",
"normalized_example_id": "ex_006795",
"source_idx": 6795,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4311,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3449
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006795",
"normalized_example_id": "ex_006795",
"source_idx": 6795,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4311,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4311
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006795",
"normalized_example_id": "ex_006795",
"source_idx": 6795,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4311,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(\\frac{5}{2}p,-p)",
"budget": 3389
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006796",
"normalized_example_id": "ex_006796",
"source_idx": 6796,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5648,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(\\frac{5}{2}p,-p)",
"budget": 4518
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006796",
"normalized_example_id": "ex_006796",
"source_idx": 6796,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5648,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(\\frac{5}{2}p,-p)",
"budget": 5648
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006796",
"normalized_example_id": "ex_006796",
"source_idx": 6796,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5648,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2007",
"budget": 4198
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006797",
"normalized_example_id": "ex_006797",
"source_idx": 6797,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6996,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2007",
"budget": 5597
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006797",
"normalized_example_id": "ex_006797",
"source_idx": 6797,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6996,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2007",
"budget": 6996
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006797",
"normalized_example_id": "ex_006797",
"source_idx": 6797,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6996,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "512",
"budget": 2369
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006798",
"normalized_example_id": "ex_006798",
"source_idx": 6798,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3948,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "512",
"budget": 3158
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006798",
"normalized_example_id": "ex_006798",
"source_idx": 6798,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3948,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "512",
"budget": 3948
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006798",
"normalized_example_id": "ex_006798",
"source_idx": 6798,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3948,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "501",
"budget": 4273
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006800",
"normalized_example_id": "ex_006800",
"source_idx": 6800,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7122,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "501",
"budget": 5698
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006800",
"normalized_example_id": "ex_006800",
"source_idx": 6800,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7122,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "501",
"budget": 7122
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006800",
"normalized_example_id": "ex_006800",
"source_idx": 6800,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7122,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2,-3)",
"budget": 1234
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006803",
"normalized_example_id": "ex_006803",
"source_idx": 6803,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2056,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2,-3)",
"budget": 1645
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006803",
"normalized_example_id": "ex_006803",
"source_idx": 6803,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2056,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2,-3)",
"budget": 2056
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006803",
"normalized_example_id": "ex_006803",
"source_idx": 6803,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2056,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.87",
"budget": 903
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006804",
"normalized_example_id": "ex_006804",
"source_idx": 6804,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1505,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.87",
"budget": 1204
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006804",
"normalized_example_id": "ex_006804",
"source_idx": 6804,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1505,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.87",
"budget": 1505
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006804",
"normalized_example_id": "ex_006804",
"source_idx": 6804,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1505,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4844
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006806",
"normalized_example_id": "ex_006806",
"source_idx": 6806,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8073,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6458
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006806",
"normalized_example_id": "ex_006806",
"source_idx": 6806,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8073,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8073
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006806",
"normalized_example_id": "ex_006806",
"source_idx": 6806,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8073,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 1540
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006809",
"normalized_example_id": "ex_006809",
"source_idx": 6809,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2567,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 2054
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006809",
"normalized_example_id": "ex_006809",
"source_idx": 6809,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2567,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 2567
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006809",
"normalized_example_id": "ex_006809",
"source_idx": 6809,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2567,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10",
"budget": 1750
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006810",
"normalized_example_id": "ex_006810",
"source_idx": 6810,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2916,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10",
"budget": 2333
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006810",
"normalized_example_id": "ex_006810",
"source_idx": 6810,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2916,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10",
"budget": 2916
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006810",
"normalized_example_id": "ex_006810",
"source_idx": 6810,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2916,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2324
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006811",
"normalized_example_id": "ex_006811",
"source_idx": 6811,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3874,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3099
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006811",
"normalized_example_id": "ex_006811",
"source_idx": 6811,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3874,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3874
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006811",
"normalized_example_id": "ex_006811",
"source_idx": 6811,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3874,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1007",
"budget": 2944
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006812",
"normalized_example_id": "ex_006812",
"source_idx": 6812,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4906,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1007",
"budget": 3925
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006812",
"normalized_example_id": "ex_006812",
"source_idx": 6812,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4906,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1007",
"budget": 4906
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006812",
"normalized_example_id": "ex_006812",
"source_idx": 6812,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4906,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "140",
"budget": 1933
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006814",
"normalized_example_id": "ex_006814",
"source_idx": 6814,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3222,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "140",
"budget": 2578
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006814",
"normalized_example_id": "ex_006814",
"source_idx": 6814,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3222,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "140",
"budget": 3222
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006814",
"normalized_example_id": "ex_006814",
"source_idx": 6814,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3222,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3116
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006815",
"normalized_example_id": "ex_006815",
"source_idx": 6815,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5193,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4154
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006815",
"normalized_example_id": "ex_006815",
"source_idx": 6815,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5193,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5193
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006815",
"normalized_example_id": "ex_006815",
"source_idx": 6815,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5193,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-0.05",
"budget": 1079
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006817",
"normalized_example_id": "ex_006817",
"source_idx": 6817,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1799,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-0.05",
"budget": 1439
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006817",
"normalized_example_id": "ex_006817",
"source_idx": 6817,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1799,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-0.05",
"budget": 1799
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006817",
"normalized_example_id": "ex_006817",
"source_idx": 6817,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1799,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "207",
"budget": 4180
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006823",
"normalized_example_id": "ex_006823",
"source_idx": 6823,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6967,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "207",
"budget": 5574
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006823",
"normalized_example_id": "ex_006823",
"source_idx": 6823,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6967,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "207",
"budget": 6967
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006823",
"normalized_example_id": "ex_006823",
"source_idx": 6823,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6967,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9801",
"budget": 1711
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006826",
"normalized_example_id": "ex_006826",
"source_idx": 6826,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2851,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9801",
"budget": 2281
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006826",
"normalized_example_id": "ex_006826",
"source_idx": 6826,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2851,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9801",
"budget": 2851
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006826",
"normalized_example_id": "ex_006826",
"source_idx": 6826,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2851,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3x^{2}}{x^{3}-1}",
"budget": 2298
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006827",
"normalized_example_id": "ex_006827",
"source_idx": 6827,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3830,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3x^{2}}{x^{3}-1}",
"budget": 3064
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006827",
"normalized_example_id": "ex_006827",
"source_idx": 6827,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3830,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3x^{2}}{x^{3}-1}",
"budget": 3830
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006827",
"normalized_example_id": "ex_006827",
"source_idx": 6827,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3830,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2017",
"budget": 1130
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006830",
"normalized_example_id": "ex_006830",
"source_idx": 6830,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1884,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2017",
"budget": 1507
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006830",
"normalized_example_id": "ex_006830",
"source_idx": 6830,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1884,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2017",
"budget": 1884
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006830",
"normalized_example_id": "ex_006830",
"source_idx": 6830,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1884,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.2;n=10",
"budget": 1042
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006831",
"normalized_example_id": "ex_006831",
"source_idx": 6831,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1737,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.2;n=10",
"budget": 1390
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006831",
"normalized_example_id": "ex_006831",
"source_idx": 6831,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1737,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.2;n=10",
"budget": 1737
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006831",
"normalized_example_id": "ex_006831",
"source_idx": 6831,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1737,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{2}{5}",
"budget": 2908
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006832",
"normalized_example_id": "ex_006832",
"source_idx": 6832,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4847,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{2}{5}",
"budget": 3878
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006832",
"normalized_example_id": "ex_006832",
"source_idx": 6832,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4847,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{2}{5}",
"budget": 4847
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006832",
"normalized_example_id": "ex_006832",
"source_idx": 6832,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4847,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}e^{x^{2}}+C",
"budget": 1105
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006835",
"normalized_example_id": "ex_006835",
"source_idx": 6835,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1842,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}e^{x^{2}}+C",
"budget": 1474
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006835",
"normalized_example_id": "ex_006835",
"source_idx": 6835,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1842,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}e^{x^{2}}+C",
"budget": 1842
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006835",
"normalized_example_id": "ex_006835",
"source_idx": 6835,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1842,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "14",
"budget": 1402
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006836",
"normalized_example_id": "ex_006836",
"source_idx": 6836,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2336,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "14",
"budget": 1869
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006836",
"normalized_example_id": "ex_006836",
"source_idx": 6836,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2336,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "14",
"budget": 2336
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006836",
"normalized_example_id": "ex_006836",
"source_idx": 6836,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2336,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi",
"budget": 1606
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006837",
"normalized_example_id": "ex_006837",
"source_idx": 6837,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2676,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi",
"budget": 2141
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006837",
"normalized_example_id": "ex_006837",
"source_idx": 6837,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2676,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi",
"budget": 2676
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006837",
"normalized_example_id": "ex_006837",
"source_idx": 6837,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2676,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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[3]{4}",
"budget": 1631
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006838",
"normalized_example_id": "ex_006838",
"source_idx": 6838,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2719,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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[3]{4}",
"budget": 2175
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006838",
"normalized_example_id": "ex_006838",
"source_idx": 6838,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2719,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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[3]{4}",
"budget": 2719
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006838",
"normalized_example_id": "ex_006838",
"source_idx": 6838,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2719,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "43",
"budget": 1529
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006839",
"normalized_example_id": "ex_006839",
"source_idx": 6839,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2548,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "43",
"budget": 2038
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006839",
"normalized_example_id": "ex_006839",
"source_idx": 6839,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2548,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "43",
"budget": 2548
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006839",
"normalized_example_id": "ex_006839",
"source_idx": 6839,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2548,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = kx + n",
"budget": 4784
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006841",
"normalized_example_id": "ex_006841",
"source_idx": 6841,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7973,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = kx + n",
"budget": 6378
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006841",
"normalized_example_id": "ex_006841",
"source_idx": 6841,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7973,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = kx + n",
"budget": 7973
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006841",
"normalized_example_id": "ex_006841",
"source_idx": 6841,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7973,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 923
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006842",
"normalized_example_id": "ex_006842",
"source_idx": 6842,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1538,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1230
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006842",
"normalized_example_id": "ex_006842",
"source_idx": 6842,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1538,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1538
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006842",
"normalized_example_id": "ex_006842",
"source_idx": 6842,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1538,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3228
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006843",
"normalized_example_id": "ex_006843",
"source_idx": 6843,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5380,
... |
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