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{5}{3}",
"budget": 5215
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005299",
"normalized_example_id": "ex_005299",
"source_idx": 5299,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}",
"budget": 6954
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005299",
"normalized_example_id": "ex_005299",
"source_idx": 5299,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}",
"budget": 8692
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005299",
"normalized_example_id": "ex_005299",
"source_idx": 5299,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\in \\{0, 1, 2\\}",
"budget": 1793
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005300",
"normalized_example_id": "ex_005300",
"source_idx": 5300,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2989,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\in \\{0, 1, 2\\}",
"budget": 2391
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005300",
"normalized_example_id": "ex_005300",
"source_idx": 5300,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2989,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\in \\{0, 1, 2\\}",
"budget": 2989
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005300",
"normalized_example_id": "ex_005300",
"source_idx": 5300,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2989,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2,1,0,-1",
"budget": 4619
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005301",
"normalized_example_id": "ex_005301",
"source_idx": 5301,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7699,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2,1,0,-1",
"budget": 6159
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005301",
"normalized_example_id": "ex_005301",
"source_idx": 5301,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7699,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2,1,0,-1",
"budget": 7699
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005301",
"normalized_example_id": "ex_005301",
"source_idx": 5301,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7699,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}",
"budget": 1600
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005305",
"normalized_example_id": "ex_005305",
"source_idx": 5305,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2666,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}",
"budget": 2133
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005305",
"normalized_example_id": "ex_005305",
"source_idx": 5305,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2666,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}",
"budget": 2666
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005305",
"normalized_example_id": "ex_005305",
"source_idx": 5305,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2666,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2366
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005306",
"normalized_example_id": "ex_005306",
"source_idx": 5306,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3943,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3154
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005306",
"normalized_example_id": "ex_005306",
"source_idx": 5306,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3943,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3943
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005306",
"normalized_example_id": "ex_005306",
"source_idx": 5306,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3943,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\ln2",
"budget": 761
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005308",
"normalized_example_id": "ex_005308",
"source_idx": 5308,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1269,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\ln2",
"budget": 1015
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005308",
"normalized_example_id": "ex_005308",
"source_idx": 5308,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1269,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\ln2",
"budget": 1269
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005308",
"normalized_example_id": "ex_005308",
"source_idx": 5308,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1269,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1349
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005312",
"normalized_example_id": "ex_005312",
"source_idx": 5312,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2248,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1798
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005312",
"normalized_example_id": "ex_005312",
"source_idx": 5312,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2248,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2248
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005312",
"normalized_example_id": "ex_005312",
"source_idx": 5312,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2248,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "949",
"budget": 1540
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005314",
"normalized_example_id": "ex_005314",
"source_idx": 5314,
"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": "949",
"budget": 2054
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005314",
"normalized_example_id": "ex_005314",
"source_idx": 5314,
"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": "949",
"budget": 2567
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005314",
"normalized_example_id": "ex_005314",
"source_idx": 5314,
"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": "3,1",
"budget": 2112
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005315",
"normalized_example_id": "ex_005315",
"source_idx": 5315,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3520,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,1",
"budget": 2816
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005315",
"normalized_example_id": "ex_005315",
"source_idx": 5315,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3520,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,1",
"budget": 3520
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005315",
"normalized_example_id": "ex_005315",
"source_idx": 5315,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3520,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "120",
"budget": 5126
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005320",
"normalized_example_id": "ex_005320",
"source_idx": 5320,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8543,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "120",
"budget": 6834
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005320",
"normalized_example_id": "ex_005320",
"source_idx": 5320,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8543,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "120",
"budget": 8543
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005320",
"normalized_example_id": "ex_005320",
"source_idx": 5320,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8543,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2026",
"budget": 1419
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005321",
"normalized_example_id": "ex_005321",
"source_idx": 5321,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2365,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2026",
"budget": 1892
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005321",
"normalized_example_id": "ex_005321",
"source_idx": 5321,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2365,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2026",
"budget": 2365
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005321",
"normalized_example_id": "ex_005321",
"source_idx": 5321,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2365,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1313
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005324",
"normalized_example_id": "ex_005324",
"source_idx": 5324,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2189,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1751
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005324",
"normalized_example_id": "ex_005324",
"source_idx": 5324,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2189,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2189
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005324",
"normalized_example_id": "ex_005324",
"source_idx": 5324,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2189,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1973",
"budget": 3542
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005325",
"normalized_example_id": "ex_005325",
"source_idx": 5325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5904,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1973",
"budget": 4723
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005325",
"normalized_example_id": "ex_005325",
"source_idx": 5325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5904,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1973",
"budget": 5904
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005325",
"normalized_example_id": "ex_005325",
"source_idx": 5325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5904,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1964",
"budget": 2401
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005326",
"normalized_example_id": "ex_005326",
"source_idx": 5326,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4002,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1964",
"budget": 3202
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005326",
"normalized_example_id": "ex_005326",
"source_idx": 5326,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4002,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1964",
"budget": 4002
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005326",
"normalized_example_id": "ex_005326",
"source_idx": 5326,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4002,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "16",
"budget": 3908
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005327",
"normalized_example_id": "ex_005327",
"source_idx": 5327,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6513,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "16",
"budget": 5210
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005327",
"normalized_example_id": "ex_005327",
"source_idx": 5327,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6513,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "16",
"budget": 6513
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005327",
"normalized_example_id": "ex_005327",
"source_idx": 5327,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6513,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "23",
"budget": 1690
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005328",
"normalized_example_id": "ex_005328",
"source_idx": 5328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2816,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "23",
"budget": 2253
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005328",
"normalized_example_id": "ex_005328",
"source_idx": 5328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2816,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "23",
"budget": 2816
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005328",
"normalized_example_id": "ex_005328",
"source_idx": 5328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2816,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\sqrt{\\frac{2S}{\\sinC}}",
"budget": 1134
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005330",
"normalized_example_id": "ex_005330",
"source_idx": 5330,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1890,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\sqrt{\\frac{2S}{\\sinC}}",
"budget": 1512
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005330",
"normalized_example_id": "ex_005330",
"source_idx": 5330,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1890,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\sqrt{\\frac{2S}{\\sinC}}",
"budget": 1890
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005330",
"normalized_example_id": "ex_005330",
"source_idx": 5330,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1890,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "27",
"budget": 4001
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005331",
"normalized_example_id": "ex_005331",
"source_idx": 5331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6669,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "27",
"budget": 5335
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005331",
"normalized_example_id": "ex_005331",
"source_idx": 5331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6669,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "27",
"budget": 6669
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005331",
"normalized_example_id": "ex_005331",
"source_idx": 5331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6669,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "29",
"budget": 4457
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005332",
"normalized_example_id": "ex_005332",
"source_idx": 5332,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7429,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "29",
"budget": 5943
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005332",
"normalized_example_id": "ex_005332",
"source_idx": 5332,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7429,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "29",
"budget": 7429
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005332",
"normalized_example_id": "ex_005332",
"source_idx": 5332,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7429,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{4^{n}+2}{3}",
"budget": 5516
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005333",
"normalized_example_id": "ex_005333",
"source_idx": 5333,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9194,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{4^{n}+2}{3}",
"budget": 7355
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005333",
"normalized_example_id": "ex_005333",
"source_idx": 5333,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9194,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{4^{n}+2}{3}",
"budget": 9194
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005333",
"normalized_example_id": "ex_005333",
"source_idx": 5333,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9194,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "340",
"budget": 709
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005334",
"normalized_example_id": "ex_005334",
"source_idx": 5334,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1182,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "340",
"budget": 946
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005334",
"normalized_example_id": "ex_005334",
"source_idx": 5334,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1182,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "340",
"budget": 1182
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005334",
"normalized_example_id": "ex_005334",
"source_idx": 5334,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1182,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3-2\\sqrt{2}",
"budget": 2408
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005335",
"normalized_example_id": "ex_005335",
"source_idx": 5335,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4014,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3-2\\sqrt{2}",
"budget": 3211
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005335",
"normalized_example_id": "ex_005335",
"source_idx": 5335,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4014,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3-2\\sqrt{2}",
"budget": 4014
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005335",
"normalized_example_id": "ex_005335",
"source_idx": 5335,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4014,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "102",
"budget": 1677
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005336",
"normalized_example_id": "ex_005336",
"source_idx": 5336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2795,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "102",
"budget": 2236
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005336",
"normalized_example_id": "ex_005336",
"source_idx": 5336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2795,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "102",
"budget": 2795
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005336",
"normalized_example_id": "ex_005336",
"source_idx": 5336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2795,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "352",
"budget": 2156
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005337",
"normalized_example_id": "ex_005337",
"source_idx": 5337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3594,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "352",
"budget": 2875
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005337",
"normalized_example_id": "ex_005337",
"source_idx": 5337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3594,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "352",
"budget": 3594
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005337",
"normalized_example_id": "ex_005337",
"source_idx": 5337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3594,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "504405,513315,522225,531135,540045,549945,558855,567765,576675,585585,594495",
"budget": 1445
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005338",
"normalized_example_id": "ex_005338",
"source_idx": 5338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2409,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "504405,513315,522225,531135,540045,549945,558855,567765,576675,585585,594495",
"budget": 1927
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005338",
"normalized_example_id": "ex_005338",
"source_idx": 5338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2409,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "504405,513315,522225,531135,540045,549945,558855,567765,576675,585585,594495",
"budget": 2409
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005338",
"normalized_example_id": "ex_005338",
"source_idx": 5338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2409,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "990",
"budget": 2745
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005339",
"normalized_example_id": "ex_005339",
"source_idx": 5339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4575,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "990",
"budget": 3660
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005339",
"normalized_example_id": "ex_005339",
"source_idx": 5339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4575,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "990",
"budget": 4575
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005339",
"normalized_example_id": "ex_005339",
"source_idx": 5339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4575,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5518
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005340",
"normalized_example_id": "ex_005340",
"source_idx": 5340,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9196,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7357
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005340",
"normalized_example_id": "ex_005340",
"source_idx": 5340,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9196,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9196
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005340",
"normalized_example_id": "ex_005340",
"source_idx": 5340,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9196,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{3}-2",
"budget": 3319
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005341",
"normalized_example_id": "ex_005341",
"source_idx": 5341,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5531,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{3}-2",
"budget": 4425
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005341",
"normalized_example_id": "ex_005341",
"source_idx": 5341,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5531,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{3}-2",
"budget": 5531
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005341",
"normalized_example_id": "ex_005341",
"source_idx": 5341,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5531,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2x-1)\\cos2x-\\sin2x+C",
"budget": 1235
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005342",
"normalized_example_id": "ex_005342",
"source_idx": 5342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2058,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2x-1)\\cos2x-\\sin2x+C",
"budget": 1646
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005342",
"normalized_example_id": "ex_005342",
"source_idx": 5342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2058,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2x-1)\\cos2x-\\sin2x+C",
"budget": 2058
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005342",
"normalized_example_id": "ex_005342",
"source_idx": 5342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2058,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5285
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005346",
"normalized_example_id": "ex_005346",
"source_idx": 5346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8808,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7046
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005346",
"normalized_example_id": "ex_005346",
"source_idx": 5346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8808,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8808
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005346",
"normalized_example_id": "ex_005346",
"source_idx": 5346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8808,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2776
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005350",
"normalized_example_id": "ex_005350",
"source_idx": 5350,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4626,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3701
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005350",
"normalized_example_id": "ex_005350",
"source_idx": 5350,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4626,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4626
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005350",
"normalized_example_id": "ex_005350",
"source_idx": 5350,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4626,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "240",
"budget": 4377
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005351",
"normalized_example_id": "ex_005351",
"source_idx": 5351,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7295,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "240",
"budget": 5836
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005351",
"normalized_example_id": "ex_005351",
"source_idx": 5351,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7295,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "240",
"budget": 7295
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005351",
"normalized_example_id": "ex_005351",
"source_idx": 5351,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7295,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3220
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005352",
"normalized_example_id": "ex_005352",
"source_idx": 5352,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5366,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4293
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005352",
"normalized_example_id": "ex_005352",
"source_idx": 5352,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5366,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5366
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005352",
"normalized_example_id": "ex_005352",
"source_idx": 5352,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5366,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{A+B}",
"budget": 1559
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005353",
"normalized_example_id": "ex_005353",
"source_idx": 5353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2599,
... |
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