answer
string | prompt
string | prompt_token_ids
list | response
list | dataset
string | response_token_ids
list | response_token_length
int64 | correctness
int64 | conversations
list | template_prompt
string | answer_option
string | membership
int64 | difficulty
float64 | source
string | domain
string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
588
| "On $\\triangle ABC$ points $A,D,E$, and $B$ lie that order on side $\\overline{AB}$ with $AD=4, DE=(...TRUNCATED)
| [151644,872,198,1925,57960,55114,19360,3,3501,400,32,27266,42125,54876,323,400,33,3,10246,429,1973,3(...TRUNCATED)
| ["Okay, so I need to find the area of heptagon AFNBCEM given some information about triangle ABC and(...TRUNCATED)
|
aime25
| [32313,11,773,358,1184,311,1477,279,3082,315,566,417,6113,19885,33342,2104,44,2661,1045,1995,911,214(...TRUNCATED)
| 14,013
| 1
| [{"from":"human","value":"On $\\triangle ABC$ points $A,D,E$, and $B$ lie that order on side $\\over(...TRUNCATED)
| "On $\\triangle ABC$ points $A,D,E$, and $B$ lie that order on side $\\overline{AB}$ with $AD=4, DE=(...TRUNCATED)
| null | 1
| null | null | null |
821
| "The twelve letters $A,B,C,D,E,F,G,H,I,J,K$, and $L$ are randomly grouped into six pairs of letters.(...TRUNCATED)
| [151644,872,198,785,29235,11931,400,32,8161,11289,27266,42125,27229,37306,43539,37768,58862,43654,54(...TRUNCATED)
| ["Okay, so I need to find the probability that the last word listed contains the letter G when we ra(...TRUNCATED)
|
aime25
| [32313,11,773,358,1184,311,1477,279,18927,429,279,1537,3409,10007,5610,279,6524,479,979,582,26618,67(...TRUNCATED)
| 22,106
| 1
| [{"from":"human","value":"The twelve letters $A,B,C,D,E,F,G,H,I,J,K$, and $L$ are randomly grouped i(...TRUNCATED)
| "The twelve letters $A,B,C,D,E,F,G,H,I,J,K$, and $L$ are randomly grouped into six pairs of letters.(...TRUNCATED)
| null | 1
| null | null | null |
77
| "Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one (...TRUNCATED)
| [151644,872,198,10061,400,74,3,387,1931,5109,1741,429,279,1849,400,91,17,20,10,17,15,72,9141,87803,2(...TRUNCATED)
| ["Okay, so I need to solve this problem where we have two equations involving complex numbers, and w(...TRUNCATED)
|
aime25
| [32313,11,1077,594,1490,13,358,1184,311,11625,419,3491,1380,582,614,264,1849,315,37906,15860,6351,51(...TRUNCATED)
| 4,267
| 1
| [{"from":"human","value":"Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|(...TRUNCATED)
| "Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one (...TRUNCATED)
| null | 1
| null | null | null |
62
| "The parabola with equation $y=x^{2}-4$ is rotated $60^{\\circ}$ counterclockwise around the origin.(...TRUNCATED)
| [151644,872,198,785,1346,370,7924,448,23606,400,88,25387,47822,17,19732,19,3,374,45620,400,21,15,61,(...TRUNCATED)
| ["Okay, so I need to find the y-coordinate of the intersection point in the fourth quadrant between (...TRUNCATED)
|
aime25
| [32313,11,773,358,1184,311,1477,279,379,80697,315,279,19246,1459,304,279,11737,93286,1948,279,4024,1(...TRUNCATED)
| 11,650
| 1
| [{"from":"human","value":"The parabola with equation $y=x^{2}-4$ is rotated $60^{\\circ}$ counterclo(...TRUNCATED)
| "The parabola with equation $y=x^{2}-4$ is rotated $60^{\\circ}$ counterclockwise around the origin.(...TRUNCATED)
| null | 1
| null | null | null |
81
| "The 27 cells of a $3\\times9$ grid are filled in using the numbers 1 through 9 so that each row con(...TRUNCATED)
| [151644,872,198,785,220,17,22,7761,315,264,400,18,4955,1733,24,3,5827,525,10199,304,1667,279,5109,22(...TRUNCATED)
| ["Okay, so I need to figure out the number of ways to fill a 3x9 grid with numbers 1 through 9, foll(...TRUNCATED)
|
aime25
| [32313,11,773,358,614,419,3491,911,25009,279,1372,315,5510,311,5155,264,220,18,87,24,5827,448,5109,2(...TRUNCATED)
| 20,244
| 0
| [{"from":"human","value":"The 27 cells of a $3\\times9$ grid are filled in using the numbers 1 throu(...TRUNCATED)
| "The 27 cells of a $3\\times9$ grid are filled in using the numbers 1 through 9 so that each row con(...TRUNCATED)
| null | 1
| null | null | null |
510
| "The set of points in 3-dimensional coordinate space that lie in the plane $x+y+z=75$ whose coordina(...TRUNCATED)
| [151644,872,198,785,738,315,3501,304,220,18,32420,16184,3550,429,10246,304,279,11031,400,87,43010,92(...TRUNCATED)
| ["Okay, so I need to solve this problem about points in 3D space lying on the plane x + y + z = 75, (...TRUNCATED)
|
aime25
| [32313,11,773,358,614,419,3491,1588,911,3501,304,220,18,35,3550,20446,389,279,11031,856,488,379,488,(...TRUNCATED)
| 17,643
| 1
| [{"from":"human","value":"The set of points in 3-dimensional coordinate space that lie in the plane (...TRUNCATED)
| "The set of points in 3-dimensional coordinate space that lie in the plane $x+y+z=75$ whose coordina(...TRUNCATED)
| null | 1
| null | null | null |
204
| "Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center(...TRUNCATED)
| [151644,872,198,27387,64828,264,13364,1119,3040,29136,1783,448,1378,76833,12757,2424,31796,287,518,2(...TRUNCATED)
| ["Okay, so Alex is dividing a disk into four quadrants using two perpendicular diameters. Then he ad(...TRUNCATED)
|
aime25
| [32313,11,773,8515,374,49702,264,13364,1119,3040,29136,1783,1667,1378,76833,12757,2424,13,5005,566,1(...TRUNCATED)
| 32,768
| 0
| [{"from":"human","value":"Alex divides a disk into four quadrants with two perpendicular diameters i(...TRUNCATED)
| "Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center(...TRUNCATED)
| null | 1
| null | null | null |
60
| "Let $ABCDE$ be a convex pentagon with $AB=14, BC=7, CD=24, DE=13, EA=26,$ and $\\angle B=\\angle E=(...TRUNCATED)
| [151644,872,198,10061,400,63663,3,387,264,65930,20189,6113,448,400,1867,28,16,19,11,18040,28,22,11,1(...TRUNCATED)
| ["Okay, so I need to find the minimal value of the function f(X) = AX + BX + CX + DX + EX for a conv(...TRUNCATED)
|
aime25
| [32313,11,773,358,614,419,3491,911,264,65930,20189,6113,19360,1150,448,2661,3108,28316,323,1378,2594(...TRUNCATED)
| 28,171
| 0
| [{"from":"human","value":"Let $ABCDE$ be a convex pentagon with $AB=14, BC=7, CD=24, DE=13, EA=26,$ (...TRUNCATED)
| "Let $ABCDE$ be a convex pentagon with $AB=14, BC=7, CD=24, DE=13, EA=26,$ and $\\angle B=\\angle E=(...TRUNCATED)
| null | 1
| null | null | null |
735
| "Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^(...TRUNCATED)
| [151644,872,198,10061,400,45,3,78064,279,1372,315,11457,88561,315,6785,25780,4930,64,8402,10109,1508(...TRUNCATED)
| ["Okay, so I need to find the number of ordered triples (a, b, c) where each of a, b, c is a positiv(...TRUNCATED)
|
aime25
| [32313,11,773,358,1184,311,1477,279,1372,315,11457,88561,320,64,11,293,11,272,8,1380,1817,315,264,11(...TRUNCATED)
| 29,261
| 0
| [{"from":"human","value":"Let $N$ denote the number of ordered triples of positive integers $(a,b,c)(...TRUNCATED)
| "Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^(...TRUNCATED)
| null | 1
| null | null | null |
468
| "Six points $A, B, C, D, E$ and $F$ lie in a straight line in that order. Suppose that $G$ is a poin(...TRUNCATED)
| [151644,872,198,41460,3501,400,32,11,425,11,356,11,422,11,468,3,323,400,37,3,10246,304,264,7678,1555(...TRUNCATED)
| ["Okay, so I need to find the area of triangle BGE given the points on a straight line and some dist(...TRUNCATED)
|
aime25
| [32313,11,773,358,614,419,17047,3491,1588,11,323,358,1184,311,1477,279,3082,315,21495,425,10777,13,6(...TRUNCATED)
| 5,072
| 1
| [{"from":"human","value":"Six points $A, B, C, D, E$ and $F$ lie in a straight line in that order. S(...TRUNCATED)
| "Six points $A, B, C, D, E$ and $F$ lie in a straight line in that order. Suppose that $G$ is a poin(...TRUNCATED)
| null | 1
| null | null | null |
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