problem stringclasses 500
values | gold_answer stringclasses 301
values | gold_answer_canon stringclasses 296
values | split stringclasses 1
value | step int64 0 0 | sample_idx int64 0 7 | endpoint stringclasses 2
values | deployment stringclasses 1
value | api_version stringclasses 1
value | temperature float64 1 1 | top_p float64 0.95 0.95 | pass1 dict | usage dict | pass2a dict | pass2b dict | pass2c dict | pass2d dict | pass2 dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 0 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 496,
"total_tokens": 884
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 1 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 514,
"total_tokens": 902
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 2 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 488,
"total_tokens": 876
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 3 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 318,
"total_tokens": 706
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 4 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 780,
"total_tokens": 1168
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 5 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 529,
"total_tokens": 917
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 6 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 525,
"total_tokens": 913
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 7 | openrouter | DeepSeek-R1 | null | 1 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 360,
"total_tokens": 748
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 0 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point B, I think. Wait, looking at the Asymptote code, the coordinates are given. The Asym... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's parse the Asymptote diagram. The diagram has two horizontal lines: one at y=0 (from (0,0) to (10,0)) and another at y=3 (from (0,3) t... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's understand the figure. There are two horizontal lines: the top one at y=3 and the bottom one at y=0. Points A(2,3), B(4,0), and C(8,0... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's interpret the figure based on the Asymptote code. There are two horizontal lines: one at y=0 (from (0,0) to (10,0)) and one at y=3 (f... | {
"output": "<think>\nOkay, let me try to visualize the diagram again based on the Asymptote code. There are two horizontal lines: one at y=0 (from (0,0) to (10,0)) and another at y=3 (from (0,3) to (10,3)). Point A is at (2,3), B at (4,0), and C at (8,0). The segments drawn are from A(2,3) to B(4,0), A(2,3) to C(8,0... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's interpret the figure based on the Asymptote code. There are two horizontal lines: one at y=0 (from (0,0) to (10,0)) and one at y=3 (f... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 1 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), which I think is somewhere along the upper line. Let me visualize the Asymptote dia... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. The Asymptote code draws two horizontal lines at y=0 and y=3. Points A(2,3), B(4,0), C(8,0). The angle at A is 124°, and we need to find x° at (4.5,3). \n\nFirst, BC is from (4,0) to (8,0),... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's analyze the diagram based on the Asymptote code. The upper line is horizontal at y=3, and the lower line is horizontal at y=0. Point A ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through A, and AB equals BC. The Asymptote code shows points A at (2,3), B at (4,0), and C at (8,0). The angle at A is 124 degrees, and we need to find x degrees at (4.5,3). \n\nFirst, BC is the segment from B(4,0) to C(... | {
"output": "<think>\nOkay, let me try to approach this problem again carefully. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's analyze the Asymptote code provided. The diagram has two horizontal lines: the upper line from (0,... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through A, and AB equals BC. The Asymptote code shows points A at (2,3), B at (4,0), and C at (8,0). The angle at A is 124 degrees, and we need to find x degrees at (4.5,3). \n\nFirst, BC is the segment from B(4,0) to C(... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 2 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's see. The problem says that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), so probably the angle at point B or near it. Wait, the Asy code labels x at (4.5,3), which is on the upper line. The upper ... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let me start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x. The Asy code shows two horizontal lines (y=0 and y=3). Points A(2,3), B(4,0), C(8,0). The angle at A is 124 degrees, labeled southwest of A. The angle x is labeled... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the upper line. \n\nFirst, let's visualize the diagram based on the Asymptote code. There are two horizontal lines: ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates, but maybe the key is to use the given information rather than the coordinates.\n\nFirst, let's visualize the... | {
"output": "<think>\nOkay, let's try to visualize the problem again. We have two horizontal lines: the upper line at y=3 and the lower line at y=0. Point A is at (2,3), B at (4,0), and C at (8,0). The Asy code draws lines from A to B and A to C. The problem states that BC is parallel to a segment through A, and AB e... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates, but maybe the key is to use the given information rather than the coordinates.\n\nFirst, let's visualize the... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 3 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the upper line.\n\nFirst, I need to visualize the diagram. The Asymptote code... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB = BC. We need to find angle x.\n\nFirst, the Asymptote code shows two horizontal lines (y=0 and y=3). Points B(4,0) and C(8,0) are on the lower line, so BC is horizontal. The segment through A(2,3) th... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's interpret the diagram. There are two horizontal lines: one at the bottom (y=0) with points B and C, and one at the top (y=3) with poi... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides a diagram with two horizontal lines (y=0 and y=3). Points B and C are on the lower line (y=0) at (4,0) and (8,0), so BC i... | {
"output": "<think>\nOkay, let's tackle this geometry problem step by step. The problem states that segment BC is parallel to the segment through point A, and AB equals BC. We need to find the measure of angle x, which is located near point B on the upper line.\n\nFirst, let's interpret the given information. The As... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides a diagram with two horizontal lines (y=0 and y=3). Points B and C are on the lower line (y=0) at (4,0) and (8,0), so BC i... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 4 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), probably at point B or somewhere near. The Asymptote code draws two horizon... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure. The Asymptote code shows two horizontal lines at y=0 and y=3. Points A(2,3), B(4,0), C(8,0). The segment BC is from (4,0) to (8,0), which is horizontal. The seg... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's interpret the diagram based on the Asymptote code. The upper horizontal line is y=3, and the lower is y=0. Points A(2,3), B(4,0), C(8... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A(2,3), B(4,0), C(8,0). The upper line is y=3, lower line y=0. BC is from (4,0) to (8,0), which is horizonta... | {
"output": "<think>\nOkay, let's tackle this geometry problem step by step. \n\nFirst, let's understand the given information and the diagram. The Asymptote code shows two horizontal lines: one at y=0 (from (0,0) to (10,0)) and another at y=3 (from (0,3) to (10,3)). Points A, B, and C are at (2,3), (4,0), and (8,0) ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A(2,3), B(4,0), C(8,0). The upper line is y=3, lower line y=0. BC is from (4,0) to (8,0), which is horizonta... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 5 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), which I think is somewhere along the top line. Let me visualize the Asymptote diagr... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let me start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote diagram shows two horizontal lines (y=0 and y=3). Points A(2,3), B(4,0), C(8,0). The angle at A is 124°, and x is labeled near (4.5,3)... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's parse the given information. The Asymptote diagram shows two horizontal lines at y=0 and y=3. Points A(2,3), B(4,0), and C(8,0) are c... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, the Asymptote diagram shows two horizontal lines (y=0 and y=3). Points A(2,3), B(4,0), C(8,0). The segment BC is from (4,0) to (8,0), which... | {
"output": "<think>\nOkay, let's tackle this geometry problem step by step. The problem states that segment BC is parallel to the segment through point A, and AB equals BC. We need to find the measure of angle x, which is labeled near (4.5,3) on the diagram. \n\nFirst, let's parse the given information. The Asymptot... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, the Asymptote diagram shows two horizontal lines (y=0 and y=3). Points A(2,3), B(4,0), C(8,0). The segment BC is from (4,0) to (8,0), which... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 6 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 1 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point B, I think. Wait, the Asy code labels x degrees at (4.5,3), which is on the top line... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates, but maybe they're just for drawing. Let's focus on the given information.\n\nFirst, BC is parallel to a segm... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's understand the diagram. There are two horizontal lines: the bottom line (y=0) with points B and C, and the top line (y=3) with point ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's interpret the diagram. There are two horizontal lines: the bottom line (y=0) with points B and C, and the top line (y=3) with point A... | {
"output": "<think>\nOkay, let's tackle this geometry problem step by step. The problem states that segment BC is parallel to the segment through point A, and AB equals BC. We need to find the measure of angle x, which is located near point B on the diagram.\n\nFirst, let's parse the given information. The Asymptote... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's interpret the diagram. There are two horizontal lines: the bottom line (y=0) with points B and C, and the top line (y=3) with point A... |
End of preview. Expand in Data Studio
deepseek-r1-math500-t1
This dataset repo contains external-model traces used in the Illusion-of-Reasoning analysis.
- Domain:
MATH-500 - Model:
DeepSeek-R1 - Target temperature label:
1 - Rows in
data.jsonl:4000 - Source artifact:
/n/fs/similarity/Illusion-of-Reasoning/artifacts/results/deepseek-r1-openrouter-temp1/step0000_test.jsonl
Notes:
- Full G=8 traces from local artifact root.
- Rows are uploaded as raw JSONL records from the local analysis artifacts.
- Downloads last month
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