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": "y^{(n)}=\\frac{(-1)^{n-1}\\cdotn!\\cdot2^{n-1}}{(2x+3)^{n+1}}",
"budget": 8619
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006531",
"normalized_example_id": "ex_006531",
"source_idx": 6531,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8619,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{128}{3}",
"budget": 3099
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006532",
"normalized_example_id": "ex_006532",
"source_idx": 6532,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5165,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{128}{3}",
"budget": 4132
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006532",
"normalized_example_id": "ex_006532",
"source_idx": 6532,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5165,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{128}{3}",
"budget": 5165
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006532",
"normalized_example_id": "ex_006532",
"source_idx": 6532,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5165,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4924
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006537",
"normalized_example_id": "ex_006537",
"source_idx": 6537,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8206,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6565
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006537",
"normalized_example_id": "ex_006537",
"source_idx": 6537,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8206,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8206
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006537",
"normalized_example_id": "ex_006537",
"source_idx": 6537,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8206,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "81",
"budget": 5873
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006539",
"normalized_example_id": "ex_006539",
"source_idx": 6539,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9789,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "81",
"budget": 7831
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006539",
"normalized_example_id": "ex_006539",
"source_idx": 6539,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9789,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "81",
"budget": 9789
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006539",
"normalized_example_id": "ex_006539",
"source_idx": 6539,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9789,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "24",
"budget": 4903
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006540",
"normalized_example_id": "ex_006540",
"source_idx": 6540,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8171,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "24",
"budget": 6537
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006540",
"normalized_example_id": "ex_006540",
"source_idx": 6540,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8171,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "24",
"budget": 8171
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006540",
"normalized_example_id": "ex_006540",
"source_idx": 6540,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8171,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = 1",
"budget": 4406
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006541",
"normalized_example_id": "ex_006541",
"source_idx": 6541,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7343,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = 1",
"budget": 5874
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006541",
"normalized_example_id": "ex_006541",
"source_idx": 6541,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7343,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = 1",
"budget": 7343
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006541",
"normalized_example_id": "ex_006541",
"source_idx": 6541,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7343,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "610",
"budget": 5815
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006542",
"normalized_example_id": "ex_006542",
"source_idx": 6542,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "610",
"budget": 7754
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006542",
"normalized_example_id": "ex_006542",
"source_idx": 6542,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "610",
"budget": 9692
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006542",
"normalized_example_id": "ex_006542",
"source_idx": 6542,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4040099}{2010}",
"budget": 4522
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006544",
"normalized_example_id": "ex_006544",
"source_idx": 6544,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7537,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4040099}{2010}",
"budget": 6030
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006544",
"normalized_example_id": "ex_006544",
"source_idx": 6544,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7537,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4040099}{2010}",
"budget": 7537
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006544",
"normalized_example_id": "ex_006544",
"source_idx": 6544,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7537,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "495",
"budget": 3727
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006547",
"normalized_example_id": "ex_006547",
"source_idx": 6547,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6212,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "495",
"budget": 4970
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006547",
"normalized_example_id": "ex_006547",
"source_idx": 6547,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6212,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "495",
"budget": 6212
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006547",
"normalized_example_id": "ex_006547",
"source_idx": 6547,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6212,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 2029
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006548",
"normalized_example_id": "ex_006548",
"source_idx": 6548,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3381,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 2705
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006548",
"normalized_example_id": "ex_006548",
"source_idx": 6548,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3381,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 3381
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006548",
"normalized_example_id": "ex_006548",
"source_idx": 6548,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3381,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "20",
"budget": 4260
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006552",
"normalized_example_id": "ex_006552",
"source_idx": 6552,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7100,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "20",
"budget": 5680
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006552",
"normalized_example_id": "ex_006552",
"source_idx": 6552,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7100,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "20",
"budget": 7100
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006552",
"normalized_example_id": "ex_006552",
"source_idx": 6552,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7100,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "105",
"budget": 1997
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006553",
"normalized_example_id": "ex_006553",
"source_idx": 6553,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3329,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "105",
"budget": 2663
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006553",
"normalized_example_id": "ex_006553",
"source_idx": 6553,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3329,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "105",
"budget": 3329
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006553",
"normalized_example_id": "ex_006553",
"source_idx": 6553,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3329,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot(1+\\sqrt{2})\\cdot\\sqrt[3]{6V}",
"budget": 2057
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006555",
"normalized_example_id": "ex_006555",
"source_idx": 6555,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3429,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot(1+\\sqrt{2})\\cdot\\sqrt[3]{6V}",
"budget": 2743
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006555",
"normalized_example_id": "ex_006555",
"source_idx": 6555,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3429,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot(1+\\sqrt{2})\\cdot\\sqrt[3]{6V}",
"budget": 3429
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006555",
"normalized_example_id": "ex_006555",
"source_idx": 6555,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3429,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{3}{32},1\\frac{1}{4},1\\frac{13}{32}",
"budget": 1150
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006556",
"normalized_example_id": "ex_006556",
"source_idx": 6556,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1916,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{3}{32},1\\frac{1}{4},1\\frac{13}{32}",
"budget": 1533
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006556",
"normalized_example_id": "ex_006556",
"source_idx": 6556,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1916,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{3}{32},1\\frac{1}{4},1\\frac{13}{32}",
"budget": 1916
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006556",
"normalized_example_id": "ex_006556",
"source_idx": 6556,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1916,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{36}",
"budget": 3070
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006557",
"normalized_example_id": "ex_006557",
"source_idx": 6557,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5116,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{36}",
"budget": 4093
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006557",
"normalized_example_id": "ex_006557",
"source_idx": 6557,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5116,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{36}",
"budget": 5116
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006557",
"normalized_example_id": "ex_006557",
"source_idx": 6557,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5116,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 886
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006560",
"normalized_example_id": "ex_006560",
"source_idx": 6560,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1476,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1181
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006560",
"normalized_example_id": "ex_006560",
"source_idx": 6560,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1476,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1476
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006560",
"normalized_example_id": "ex_006560",
"source_idx": 6560,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1476,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\pi}",
"budget": 1679
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006562",
"normalized_example_id": "ex_006562",
"source_idx": 6562,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2798,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\pi}",
"budget": 2238
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006562",
"normalized_example_id": "ex_006562",
"source_idx": 6562,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2798,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\pi}",
"budget": 2798
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006562",
"normalized_example_id": "ex_006562",
"source_idx": 6562,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2798,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1064\\mathrm{~}^{2}",
"budget": 2302
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006563",
"normalized_example_id": "ex_006563",
"source_idx": 6563,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3837,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1064\\mathrm{~}^{2}",
"budget": 3070
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006563",
"normalized_example_id": "ex_006563",
"source_idx": 6563,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3837,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1064\\mathrm{~}^{2}",
"budget": 3837
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006563",
"normalized_example_id": "ex_006563",
"source_idx": 6563,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3837,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "15",
"budget": 5423
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006565",
"normalized_example_id": "ex_006565",
"source_idx": 6565,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9039,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "15",
"budget": 7231
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006565",
"normalized_example_id": "ex_006565",
"source_idx": 6565,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9039,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "15",
"budget": 9039
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006565",
"normalized_example_id": "ex_006565",
"source_idx": 6565,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9039,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5782
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006566",
"normalized_example_id": "ex_006566",
"source_idx": 6566,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9636,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7709
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006566",
"normalized_example_id": "ex_006566",
"source_idx": 6566,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9636,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9636
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006566",
"normalized_example_id": "ex_006566",
"source_idx": 6566,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9636,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\lnx}{4x}",
"budget": 3875
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006567",
"normalized_example_id": "ex_006567",
"source_idx": 6567,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6459,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\lnx}{4x}",
"budget": 5167
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006567",
"normalized_example_id": "ex_006567",
"source_idx": 6567,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6459,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\lnx}{4x}",
"budget": 6459
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006567",
"normalized_example_id": "ex_006567",
"source_idx": 6567,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6459,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "152",
"budget": 2227
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006568",
"normalized_example_id": "ex_006568",
"source_idx": 6568,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3712,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "152",
"budget": 2970
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006568",
"normalized_example_id": "ex_006568",
"source_idx": 6568,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3712,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "152",
"budget": 3712
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006568",
"normalized_example_id": "ex_006568",
"source_idx": 6568,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3712,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\equiv 1 \\pmod{3}",
"budget": 5080
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006569",
"normalized_example_id": "ex_006569",
"source_idx": 6569,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8466,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\equiv 1 \\pmod{3}",
"budget": 6773
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006569",
"normalized_example_id": "ex_006569",
"source_idx": 6569,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8466,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\equiv 1 \\pmod{3}",
"budget": 8466
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006569",
"normalized_example_id": "ex_006569",
"source_idx": 6569,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8466,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "150",
"budget": 1514
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006573",
"normalized_example_id": "ex_006573",
"source_idx": 6573,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2524,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "150",
"budget": 2019
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006573",
"normalized_example_id": "ex_006573",
"source_idx": 6573,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2524,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "150",
"budget": 2524
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006573",
"normalized_example_id": "ex_006573",
"source_idx": 6573,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2524,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\left(a^{2}+b^{2}\\right)^{50}}",
"budget": 2356
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006575",
"normalized_example_id": "ex_006575",
"source_idx": 6575,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3927,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\left(a^{2}+b^{2}\\right)^{50}}",
"budget": 3142
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006575",
"normalized_example_id": "ex_006575",
"source_idx": 6575,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3927,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\left(a^{2}+b^{2}\\right)^{50}}",
"budget": 3927
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006575",
"normalized_example_id": "ex_006575",
"source_idx": 6575,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3927,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1969
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006576",
"normalized_example_id": "ex_006576",
"source_idx": 6576,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3281,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2625
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006576",
"normalized_example_id": "ex_006576",
"source_idx": 6576,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3281,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3281
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006576",
"normalized_example_id": "ex_006576",
"source_idx": 6576,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3281,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4570
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006579",
"normalized_example_id": "ex_006579",
"source_idx": 6579,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7617,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6094
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006579",
"normalized_example_id": "ex_006579",
"source_idx": 6579,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7617,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7617
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006579",
"normalized_example_id": "ex_006579",
"source_idx": 6579,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7617,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "20",
"budget": 1198
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006581",
"normalized_example_id": "ex_006581",
"source_idx": 6581,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1996,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "20",
"budget": 1597
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006581",
"normalized_example_id": "ex_006581",
"source_idx": 6581,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1996,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "20",
"budget": 1996
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006581",
"normalized_example_id": "ex_006581",
"source_idx": 6581,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1996,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{2 - \\sqrt{2}}{6}",
"budget": 3856
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006582",
"normalized_example_id": "ex_006582",
"source_idx": 6582,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6426,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{2 - \\sqrt{2}}{6}",
"budget": 5141
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006582",
"normalized_example_id": "ex_006582",
"source_idx": 6582,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6426,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{2 - \\sqrt{2}}{6}",
"budget": 6426
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006582",
"normalized_example_id": "ex_006582",
"source_idx": 6582,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6426,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5590
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006583",
"normalized_example_id": "ex_006583",
"source_idx": 6583,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9317,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7454
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006583",
"normalized_example_id": "ex_006583",
"source_idx": 6583,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9317,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9317
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006583",
"normalized_example_id": "ex_006583",
"source_idx": 6583,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9317,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\theta=\\arctan \\frac{108}{145}",
"budget": 4024
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006584",
"normalized_example_id": "ex_006584",
"source_idx": 6584,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6706,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\theta=\\arctan \\frac{108}{145}",
"budget": 5365
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006584",
"normalized_example_id": "ex_006584",
"source_idx": 6584,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6706,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\theta=\\arctan \\frac{108}{145}",
"budget": 6706
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006584",
"normalized_example_id": "ex_006584",
"source_idx": 6584,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6706,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1441
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006587",
"normalized_example_id": "ex_006587",
"source_idx": 6587,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2402,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1922
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006587",
"normalized_example_id": "ex_006587",
"source_idx": 6587,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2402,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2402
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006587",
"normalized_example_id": "ex_006587",
"source_idx": 6587,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2402,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-3",
"budget": 3944
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006588",
"normalized_example_id": "ex_006588",
"source_idx": 6588,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6574,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-3",
"budget": 5259
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006588",
"normalized_example_id": "ex_006588",
"source_idx": 6588,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6574,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-3",
"budget": 6574
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006588",
"normalized_example_id": "ex_006588",
"source_idx": 6588,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6574,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "90",
"budget": 2514
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006589",
"normalized_example_id": "ex_006589",
"source_idx": 6589,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4190,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "90",
"budget": 3352
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006589",
"normalized_example_id": "ex_006589",
"source_idx": 6589,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4190,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "90",
"budget": 4190
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006589",
"normalized_example_id": "ex_006589",
"source_idx": 6589,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4190,
... |
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