messages listlengths 1 1 | ground_truth stringclasses 4
values | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the rank of matrix A where A =\n[[167, -8, 6, 14, 150, 167],\n [119, -18, -53, -64, 17, 32],\n [82, -40, -100, -110, 3, -56],\n [20, -124, -7, 14, -71, -141],\n [141, -64, -41, -38, 5, 4],\n [4, 1, 24, 69, -76, -33]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-107, -34, 134, 9, 134, -59],\n [22, 79, -8, 74, 73, 16],\n [15, -30, -30, -33, -66, 3],\n [-74, -63, 84, -41, 36, -39],\n [106, 72, -108, -8, -90, 88],\n [-104, -48, 132, -23, 105, -47]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-59, 40, -96, 76, -115, 27],\n [-21, -58, 24, -2, 75, -13],\n [-21, 24, -36, 24, 3, 9],\n [-81, -54, -54, 72, -81, 9],\n [-61, -84, -12, 44, -53, -3],\n [-5, -48, 27, -7, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-88, -44, -155, -118, -84, 121],\n [36, 68, 14, 43, -49, -43],\n [60, 22, 100, 68, 55, -74],\n [-12, -22, -9, -18, 11, 17],\n [-32, 24, -60, -12, -56, 24],\n [20, 58, -61, -26, -117, 13]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[10, -40, 10, 5, -15, 65],\n [2, -18, 82, -24, -88, -2],\n [7, -33, 47, -9, -53, 38],\n [7, -21, -49, 21, 49, 56],\n [-3, 5, 53, -19, -55, -30],\n [-12, 48, -12, -6, 18, -78]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-65, 48, 51, 72, -61, 83],\n [39, -19, 81, -64, -13, 58],\n [-23, -52, 9, -44, 17, -39],\n [39, 57, -15, -32, -41, -10],\n [-135, -103, 3, 136, 81, 16],\n [4, -60, -120, -6, 89, -142]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-45, 16, 100, -64, -120, -86],\n [-5, -71, 107, -48, -47, -187],\n [50, 97, -151, 116, -50, 53],\n [-59, 36, 60, -72, -70, 22],\n [28, 69, -140, 88, 37, 151],\n [28, 136, -169, 132, -68, 146]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[72, -24, 54, 28, -34, -62],\n [144, -22, 55, 37, -20, -102],\n [36, 58, 2, -48, -104, 16],\n [32, 90, 18, -50, -130, 44],\n [72, -14, 94, 56, -36, -50],\n [120, -45, 108, 47, -86, -109]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-13, 78, -17, 85, 49, 70],\n [17, -35, 63, 115, -88, 68],\n [-14, 51, -13, 42, 33, 34],\n [22, 11, 12, 86, -5, 70],\n [-47, -81, 53, -101, -110, -120],\n [-17, -47, 4, -107, -28, -92]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[72, -72, 64, -8, 16, 80],\n [83, -58, 96, -47, -31, 110],\n [12, -42, -16, 44, 62, -8],\n [40, -80, 0, 56, 88, 16],\n [-5, 10, 0, -7, -11, -2],\n [95, -55, 120, -71, -58, 134]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-125, 152, 28, -17, -54, -62],\n [102, 13, -5, -19, -43, 21],\n [122, 19, 41, 29, 45, -25],\n [67, -151, -26, 26, 86, 33],\n [80, 137, 90, 68, 91, -122],\n [-3, -107, -8, 93, 151, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[18, 0, -8, 10, 10, 16],\n [24, -30, -18, 6, 0, 21],\n [-122, 40, 64, -58, -50, -108],\n [49, 40, -12, 37, 45, 44],\n [-130, 50, 70, -60, -50, -115],\n [25, -20, -16, 9, 5, 22]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-67, 48, -104, -39, 9, -15],\n [9, 8, -25, 34, -82, -57],\n [73, 38, 113, 42, 46, -15],\n [-16, 37, 70, -11, 129, 82],\n [66, -10, 115, 61, -7, 2],\n [48, 16, 146, 46, 78, 54]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[65, 88, -75, -63, 14, -84],\n [69, 37, 32, 1, 22, 82],\n [37, -18, 142, -19, -18, 60],\n [26, 53, -102, -48, -27, -59],\n [-79, -38, 35, -23, -46, -61],\n [-80, -109, -156, 60, -100, 30]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[36, 63, 77, -103, 57, -8],\n [-38, 100, 74, -104, 6, 118],\n [-7, -19, -115, -33, -53, -175],\n [32, 47, 96, 25, 80, 110],\n [-28, 140, 69, -92, 33, 114],\n [33, -111, -86, 133, -12, -109]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-101, -19, -65, -73, 17, 134],\n [-46, 16, -34, -70, 98, -22],\n [24, -6, 66, 48, -34, -64],\n [32, -35, 145, 113, -127, -72],\n [138, 6, 29, 15, -3, -95],\n [95, -20, -28, -44, -18, 36]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-132, -107, -66, 44, 93, 42],\n [160, 72, 24, -72, -72, 56],\n [74, 47, 80, 53, -10, 36],\n [72, 37, -14, -74, -53, -2],\n [-48, 16, 41, 51, 2, -79],\n [122, 56, 34, -33, -47, 50]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-1, -55, -33, 39, -31, -36],\n [-16, 80, -48, -36, 44, 84],\n [-11, 67, -27, -33, 37, 66],\n [-15, 55, -55, -20, 30, 65],\n [-12, 92, -20, -49, 51, 85],\n [0, 32, 16, -22, 18, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 2 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-54, 51, 66, -9, 28, -4],\n [-64, -33, -12, 57, 16, 6],\n [-64, -33, -12, 57, 16, 6],\n [81, -33, -57, -18, -34, 1],\n [32, 60, 48, -60, 0, -8],\n [-21, -72, -63, 63, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-21, -46, -8, 87, -72, 117],\n [-9, 15, 109, 1, -131, 84],\n [7, -35, -4, 50, 17, 85],\n [-49, -3, -57, 18, -105, -6],\n [72, -45, -138, 41, 19, 2],\n [8, -31, -120, 45, -107, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[22, 21, -12, 23, -12, -10],\n [125, 104, -88, -114, -53, -166],\n [-12, -26, 82, -145, -107, -27],\n [20, 24, -50, 15, 43, -25],\n [45, 5, 2, 14, -50, -8],\n [14, 26, 28, 42, -62, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-40, 77, -30, -72, -51, -3],\n [-44, -31, -46, 56, -47, -67],\n [65, 18, 69, 31, 33, 46],\n [0, -71, -5, 141, -22, -66],\n [23, 84, 40, 54, -58, -3],\n [8, -15, 12, 130, -45, -53]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[0, 21, 7, -84, 42, 84],\n [0, -12, 80, -6, -42, -12],\n [0, 12, -38, -21, 33, 30],\n [0, -11, -13, 50, -20, -48],\n [0, 26, -10, -92, 56, 96],\n [0, 9, 17, -45, 15, 42]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[5, -22, 11, -22, -17, -12],\n [52, 27, 12, 66, 48, 54],\n [19, -14, -59, 6, -78, -87],\n [36, -36, 72, -66, -179, -44],\n [-32, 64, -44, 42, -15, -6],\n [50, 12, 6, 92, 229, 123]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[16, 26, 78, -167, -70, 46],\n [19, 27, -74, 76, 63, -34],\n [17, -88, -82, -40, -78, 46],\n [76, -53, -102, 28, -61, -32],\n [39, 86, 76, 48, 38, -90],\n [-194, -69, 77, 37, 66, 112]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[21, -6, 67, 70, -19, -108],\n [9, 14, -105, -61, -21, 101],\n [13, 54, -20, 65, 4, 145],\n [40, 97, -26, 27, 34, 164],\n [37, 110, 56, 147, 3, 56],\n [7, 34, 37, 58, 19, 40]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-7, 59, 12, 10, 0, 14],\n [52, -89, 72, 8, -27, 82],\n [-33, 85, -22, -2, 36, -23],\n [-50, 24, -104, -20, 18, -120],\n [-22, 105, 2, 12, 9, 3],\n [22, -76, 8, -4, -18, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-45, -84, 57, 91, -20, -3],\n [8, 20, -60, -132, 28, -12],\n [-3, -73, -16, -81, 17, -39],\n [-57, -91, 20, 0, -1, -12],\n [36, 89, -49, -68, 15, 12],\n [-6, 59, -25, -24, 5, 24]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[18, 138, 90, 224, -164, -23],\n [-69, 72, -72, 53, -34, -47],\n [-177, 81, 9, -16, 45, -197],\n [36, 6, 144, 3, 33, -33],\n [27, -56, -174, -14, -51, 120],\n [-18, -10, -24, -99, 129, -31]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-101, -26, 28, -132, 103, -142],\n [-113, -81, 130, -157, 86, -142],\n [79, 25, -35, 91, -34, 63],\n [-21, -16, -73, 11, 54, -59],\n [-137, -160, 57, -70, 33, -95],\n [33, 74, 4, -35, 46, -32]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-112, 80, -78, 134, -8, -40],\n [-22, -34, 23, -12, 15, -12],\n [52, 28, -14, -12, -18, 24],\n [86, -46, 48, -91, 1, 32],\n [-38, -50, 33, -14, 23, -20],\n [6, -78, 61, -64, 25, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[14, -53, -26, 50, -64, 77],\n [-6, -37, 22, -16, 22, 43],\n [14, -9, -34, 46, -60, 21],\n [-18, 54, 36, -63, 81, -81],\n [-6, -15, 18, -18, 24, 15],\n [-12, -19, 34, -37, 49, 16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 2 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-32, 14, -46, -72, -12, 2],\n [-26, -73, 101, 9, 24, -22],\n [30, 40, -44, 25, -10, 13],\n [-12, -26, 34, -2, 8, -8],\n [32, 11, 5, 52, 2, 5],\n [68, 14, 26, 118, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-119, -81, 14, 73, 37, -20],\n [19, 94, -82, -79, 54, 95],\n [99, -230, 104, 175, -59, -25],\n [89, 109, 18, 52, 219, -49],\n [-132, -29, -33, 1, -13, 28],\n [-98, 47, 26, -24, -85, -93]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 5 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[5, 6, -45, -20, 58, -50],\n [-15, -70, 67, -10, -135, 82],\n [25, -7, 27, 30, -26, 2],\n [-34, -43, -6, -52, -39, 28],\n [51, -10, 29, 48, -20, -22],\n [86, -63, 54, 58, -74, -32]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 3 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-92, 38, 62, -44, -113, 40],\n [24, 36, -20, 44, 18, -20],\n [32, -32, -20, 2, 44, -10],\n [52, 38, -40, 67, 49, -35],\n [-96, 24, 66, -57, -114, 45],\n [-20, -118, 24, -99, 7, 35]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 2 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-50, -9, 2, 42, -19, 32],\n [140, 72, -10, -160, 168, -148],\n [-46, 89, 82, 33, 100, -150],\n [78, -103, -154, -157, -42, 86],\n [-52, -49, 21, 96, -105, 94],\n [-92, -101, -42, 35, -122, 58]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-10, 13, 1, 46, 48, -17],\n [6, -7, 5, -6, -8, -1],\n [-60, 67, -71, -21, 2, 52],\n [54, -59, 73, 54, 32, -65],\n [76, -86, 82, -4, -32, -50],\n [22, -26, 16, -31, -38, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[40, 81, 88, -35, -64, -65],\n [-73, -55, 96, -41, -14, -2],\n [59, 197, -22, -37, 1, -9],\n [99, 100, -42, 36, 27, -120],\n [-15, -92, 16, 22, -7, -14],\n [-44, 7, 35, -24, 65, -59]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[31, -40, -5, 45, 26, -99],\n [-140, -100, -164, -6, 50, 144],\n [49, -125, 13, 33, 6, -156],\n [-115, -40, -151, 201, -132, -105],\n [-56, -108, -48, -70, 22, 90],\n [-25, 87, -53, 180, -67, -94]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | 5 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[29, 80, 32, -44, -17, 40],\n [-56, -65, -96, -82, 97, 85],\n [61, -123, 18, 9, 28, 10],\n [56, -134, 32, 68, -2, -50],\n [-14, 117, -12, -96, 13, 85],\n [-20, -22, -48, -68, 58, 70]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-42, 36, -7, 53, 3, 20],\n [73, -3, -67, -24, -40, 73],\n [16, 48, -50, -136, -28, -6],\n [113, -25, -54, 19, -103, 81],\n [-146, 140, -7, -85, 27, -63],\n [-36, -92, 112, 74, 92, -83]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[55, 64, -63, 50, -5, -49],\n [70, -7, -198, 38, 30, 89],\n [101, -124, -69, 85, 155, 208],\n [19, -17, -129, -100, -95, -22],\n [-54, 67, -66, -56, -98, -39],\n [-13, -22, -101, -54, -36, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-116, 41, -58, 77, -6, 79],\n [-71, 56, -22, 68, -24, 28],\n [171, 51, 72, -45, -90, -159],\n [122, -56, 34, -92, 6, -64],\n [12, -60, 15, -42, 51, 12],\n [71, 49, -5, -5, -75, -61]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-38, -1, -51, -64, 46, 45],\n [2, 4, -21, 31, -34, 45],\n [-4, -2, 6, -20, 20, -18],\n [60, 0, 90, 90, -60, -90],\n [74, 10, 51, 181, -154, 9],\n [12, 9, -36, 81, -84, 90]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 2 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-190, 20, -40, 39, -117, 162],\n [-30, 18, -36, 21, -63, 33],\n [-50, 20, -40, 25, -75, 50],\n [50, 4, -8, -1, 3, -38],\n [110, -4, 8, -15, 45, -90],\n [180, -20, 40, -38, 114, -154]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[114, 71, 31, 79, 38, -56],\n [3, -61, -71, -35, 56, 16],\n [-158, -58, -29, -178, 42, 2],\n [-49, 31, -30, -23, 20, 100],\n [-153, -26, -10, -172, 46, -4],\n [-44, -3, -50, -23, 18, 100]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-95, 46, -38, 62, -55, -30],\n [3, 0, -87, 62, -27, -66],\n [-150, 3, -54, 56, -105, -25],\n [51, 39, 75, -38, 66, 41],\n [170, -28, 116, -116, 130, 76],\n [17, 122, -25, 82, 37, -52]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-48, -15, -111, 19, 58, -55],\n [1, 8, 51, -32, -20, 2],\n [-43, -11, -84, 7, 46, -49],\n [-7, -11, -72, 39, 30, -9],\n [-72, -9, -81, -27, 54, -81],\n [36, 9, 69, -5, -38, 41]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 2 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[38, 14, 13, -14, 8, 0],\n [-1, 17, -18, 5, -28, 11],\n [-26, -38, 20, 2, 40, -18],\n [149, 107, -2, -41, -52, 33],\n [49, 7, 28, -21, 28, -7],\n [53, 59, -22, -9, -52, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 2 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-84, 86, 68, -58, -88, -106],\n [108, 104, -133, 64, 60, 214],\n [-80, -31, 106, -29, -59, -136],\n [-25, -132, 4, -28, 42, -65],\n [-28, 93, -8, -247, -142, -219],\n [-7, 164, 45, 12, -90, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[39, 98, 74, -31, 56, 122],\n [-90, -6, 26, -146, 44, -3],\n [-78, -34, -27, -8, 123, -37],\n [-13, -9, 49, -137, -131, -10],\n [-18, 41, 44, -42, 84, 55],\n [-60, 28, 53, -154, 25, 38]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[8, -20, -21, -52, -4, -44],\n [23, 5, 49, 63, -24, 36],\n [70, -50, 35, -30, -60, -60],\n [38, -30, 14, -26, -32, -40],\n [52, -20, 56, 36, -48, 0],\n [12, -40, -49, -112, -4, -92]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-66, 6, -5, 49, -39, -90],\n [26, 118, 145, -47, 96, -111],\n [-88, -89, -51, 66, -42, -114],\n [-23, -50, -47, 26, -73, -13],\n [99, 76, 50, -71, -34, 85],\n [-50, -165, -151, 58, -53, 67]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-89, 97, -39, 51, -128, -58],\n [120, 44, -2, -17, 31, 107],\n [31, -16, 52, -70, 94, 116],\n [-82, -28, 88, -68, 52, -74],\n [-33, -12, 86, -95, 97, 85],\n [14, -177, 15, -1, 90, -108]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[33, -39, 185, 12, -101, 17],\n [-20, 95, -74, -129, -12, -22],\n [-57, 11, -81, -154, -19, -59],\n [1, -107, 77, 122, 7, 19],\n [-23, 55, -131, 38, 91, 17],\n [-14, -96, 238, -11, -142, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[40, -86, -86, 123, 64, -73],\n [105, -94, -46, -36, 69, -71],\n [156, -38, 179, 22, -58, -26],\n [-35, -58, 23, 158, 11, 107],\n [101, -23, 121, -36, -43, -7],\n [55, -23, 35, -42, -32, -46]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[116, -76, -49, -33, -9, -77],\n [130, -117, -5, -86, -12, 25],\n [-36, -45, 152, -13, -11, 126],\n [48, -22, -38, 24, 0, -102],\n [84, -47, 69, -70, -72, -5],\n [-16, -50, 107, 86, 7, -62]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-37, -6, 83, -13, 113, 4],\n [106, 19, -239, 77, 87, 27],\n [56, -3, -81, 29, -36, 59],\n [22, 59, -69, 21, -62, 69],\n [-98, 112, 98, -38, -62, 12],\n [94, -49, -139, 45, 3, 17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[118, 36, 29, 44, -31, -5],\n [85, -20, -54, 47, -60, -89],\n [-81, -15, -38, -57, 78, -14],\n [137, 17, -40, 76, -84, -83],\n [-6, 96, 27, 57, -77, 62],\n [15, -191, 99, -117, 143, 25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-24, 13, 128, -5, 108, 10],\n [35, -99, 104, 131, 7, -149],\n [-26, -32, 2, -48, 108, -4],\n [39, -66, 62, 78, 12, -95],\n [48, -55, 138, 99, 37, -98],\n [94, 20, 15, 8, -20, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[20, -20, -20, 25, 40, -30],\n [-10, 42, 8, -16, -58, 34],\n [-44, -84, 52, -41, 64, -10],\n [21, 91, -28, 14, -91, 35],\n [-7, 55, 4, -14, -71, 39],\n [-2, -30, 4, 1, 34, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-75, 24, 62, -66, 16, -49],\n [27, -60, -24, 1, 106, -63],\n [39, 120, 60, -38, 173, -45],\n [88, -46, -31, -20, 181, 5],\n [-97, 13, 0, 23, -200, -12],\n [-3, 40, 0, 19, -46, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-54, -142, -74, -132, 73, -128],\n [127, -152, 11, -74, 45, 61],\n [59, -54, 93, -124, -88, 73],\n [45, 8, 69, -49, -59, -15],\n [121, -156, -74, -11, 10, 47],\n [49, -10, -12, 54, 39, 45]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[45, -19, 26, -34, -24, -11],\n [77, 2, 42, -41, -41, 3],\n [57, 122, -22, -27, 50, -69],\n [107, 156, 22, -13, -11, 17],\n [-14, 48, -28, 10, 38, -26],\n [-135, -19, -46, 98, 24, 73]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-33, -2, 63, 57, 74, -49],\n [-62, 11, -10, -34, 94, -7],\n [-94, 5, 104, 150, 92, 16],\n [-28, -40, -34, -4, 82, -49],\n [18, 37, 103, 148, -88, 133],\n [-62, 72, 20, 2, -66, 136]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-32, -80, -112, -112, -16, 0],\n [-18, 50, 62, 62, -4, 50],\n [-58, -12, -28, -28, -22, 70],\n [-32, 34, 38, 38, -10, 60],\n [-14, 22, 26, 26, -4, 30],\n [-18, -26, -38, -38, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 2 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[279, 67, 128, 24, -121, -26],\n [278, 151, 23, 8, -142, -74],\n [-41, -52, -48, 72, 114, -18],\n [134, 68, 68, -64, -84, 4],\n [-9, -48, 91, -16, 33, 86],\n [-146, -62, -24, -28, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 5 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[87, -126, -125, -51, -43, 47],\n [37, -44, -35, 3, -11, 19],\n [-23, 55, 60, 51, 23, -7],\n [-6, 66, -27, -36, -3, 69],\n [9, -57, -18, -17, -11, -33],\n [21, -54, -7, 15, -5, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-78, -77, 57, 6, 137, 11],\n [107, 59, 54, -81, 29, 54],\n [-28, -134, 172, -16, -22, 4],\n [-7, -60, 37, 32, -113, 89],\n [-182, -120, -13, 67, 157, -161],\n [-73, 35, -111, 42, 97, -59]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 5 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[108, -12, -143, 49, -69, 66],\n [31, -92, -6, 36, 68, 39],\n [51, 59, -123, 110, -29, 21],\n [34, -47, -117, 241, 39, 84],\n [-26, -5, -3, -11, 37, -52],\n [76, 100, 80, -139, 48, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[146, -56, -8, -30, -8, 156],\n [54, -5, -7, 38, -40, 32],\n [-56, 50, 6, 104, -64, -104],\n [-4, 17, 11, 54, -36, -26],\n [80, -33, 53, -5, 2, 103],\n [-75, 24, 168, 54, 18, -33]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 3 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[0, 63, -3, 21, 39, -42],\n [-10, 109, -49, -7, 17, -36],\n [-16, 40, -72, -56, -56, 32],\n [-9, 96, -44, -7, 14, -31],\n [21, 21, 91, 98, 119, -91],\n [-6, 36, -28, -14, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[72, 39, 155, 17, -78, 7],\n [58, 14, -20, 74, 102, 102],\n [56, -34, 60, 4, -42, 78],\n [78, -73, 35, 11, -22, 143],\n [85, 64, 105, 44, 9, -36],\n [106, -106, 66, -37, -77, 62]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[7, -105, 134, -78, 16, -61],\n [-134, -136, -21, 60, -65, -76],\n [-70, -88, -17, 12, 5, -8],\n [-137, 0, -84, 146, -71, 58],\n [-121, -20, -13, 120, -80, 30],\n [-174, -100, -46, 106, -58, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[99, 82, 40, -103, -60, -112],\n [-52, 25, 41, 46, -48, 17],\n [-90, 2, -122, 79, 35, 31],\n [-53, -3, -125, -22, 66, 6],\n [-205, 56, 22, 28, -52, 61],\n [-82, 30, 42, -42, -27, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[45, -10, 64, 36, 9, -22],\n [-20, 6, -56, -35, -11, 21],\n [103, 26, 76, 33, 19, -13],\n [-1, -53, -55, 5, -5, 27],\n [-25, 91, 173, 36, 23, -86],\n [-20, 194, 290, 111, 90, -113]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-87, 128, -17, -55, 62, 1],\n [82, -111, -5, 9, -22, -37],\n [59, 8, 129, -103, 138, 89],\n [10, 39, 41, -97, 110, 13],\n [-90, 50, -84, 96, -112, -28],\n [-95, 74, -135, 7, -38, -109]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[27, 39, 15, -48, -34, -56],\n [-111, -179, -11, 190, -152, 26],\n [50, 64, -68, -78, 188, 32],\n [-30, -15, -60, 162, -80, -121],\n [-2, 33, 33, 25, 38, 48],\n [24, 95, 56, 2, 46, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[26, -167, -130, 65, -83, -280],\n [-6, -4, 48, -27, 82, 71],\n [-39, -84, 51, -66, 30, -123],\n [1, 20, 1, 45, 32, 64],\n [-29, 48, 37, -64, -70, -39],\n [39, 3, -57, 2, -47, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[56, -24, -45, 66, -83, 63],\n [-8, 2, 7, -6, 9, -9],\n [-40, -30, 51, 66, -35, -45],\n [-48, -8, 50, 12, 14, -54],\n [-32, -22, 40, 48, -24, -36],\n [64, -11, -58, 36, -62, 72]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-110, -46, -35, 5, 88, 89],\n [-20, 23, -169, 97, -118, -108],\n [58, -209, 23, -133, 24, -14],\n [120, -19, 155, -143, 90, -25],\n [-123, 26, -306, 145, -71, -125],\n [-3, 76, 139, -72, 171, 71]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[68, 93, -105, 151, 6, -38],\n [104, 65, -97, 143, 23, -21],\n [20, -24, -12, 100, -15, -127],\n [35, -131, 76, -42, 16, -37],\n [-81, -19, 32, 10, -43, -104],\n [-163, -74, 121, -153, -50, -29]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 3 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[-140, -79, 90, -74, -20, 140],\n [-54, -55, 154, 148, -3, 59],\n [146, 51, -10, 76, -10, -60],\n [-42, 37, -44, -134, -16, 58],\n [-57, -2, -68, 59, 63, -156],\n [-60, -52, -14, -146, -14, 50]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[52, 60, 4, -134, -125, 50],\n [-83, -12, -15, 115, 91, -44],\n [-22, 55, -10, -38, -51, 13],\n [96, 82, -8, -124, -80, -14],\n [115, 21, 11, -119, -74, 15],\n [-119, -62, 21, 33, -46, 112]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-21, -9, 16, 9, -7, -13],\n [54, -54, 6, -18, 48, -6],\n [82, 18, -52, -34, 34, 42],\n [-28, -72, 58, 16, 14, -48],\n [85, -135, 40, -25, 95, -35],\n [82, 18, -52, -34, 34, 42]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[38, -1, 4, -86, -57, -134],\n [-108, 89, 79, 1, -116, -44],\n [105, -87, -40, -7, 92, -92],\n [112, -63, -74, -66, 69, 37],\n [-65, 63, 12, -13, -64, 110],\n [-39, 0, 1, 80, 36, 81]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[117, -102, 18, 64, -65, -64],\n [101, -111, -99, 13, -150, -33],\n [-13, -39, -67, -19, -26, 79],\n [-174, 179, 33, -145, 97, 125],\n [-28, -35, 77, 9, 19, 5],\n [-56, 131, 63, -5, 139, 11]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[80, -26, 45, 55, 109, 7],\n [-55, 66, 47, 95, 98, -19],\n [-166, -123, 173, 42, -96, 45],\n [-100, -21, 132, 75, 46, -17],\n [-209, -66, 139, 3, -96, -15],\n [3, -112, 26, 24, -133, 138]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[60, -55, 20, -20, 10, 110],\n [-38, 72, -24, 16, -26, -54],\n [-75, -10, 35, -50, 85, 20],\n [55, -69, 24, -20, 19, 93],\n [96, -65, -11, 38, -52, -5],\n [29, 13, -12, 12, -31, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 3 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[107, -78, -71, -32, 240, -146],\n [-15, 64, 18, 125, -237, 196],\n [-30, 70, 50, 28, -116, 68],\n [-3, 14, 42, -41, -79, 51],\n [-52, 8, -19, -65, -15, 8],\n [-12, 5, 132, -76, 35, -98]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[117, 10, -82, 39, -44, -17],\n [101, 58, 186, 11, 87, 19],\n [-68, 6, 32, -8, -26, -78],\n [6, 117, -24, -109, 113, 62],\n [-153, -35, -142, 76, -82, -115],\n [-114, -48, -256, -8, -94, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 5 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[104, -4, 16, -8, -76, -76],\n [66, -13, 103, -60, -94, -77],\n [88, 4, -52, 32, -32, -44],\n [54, -15, 123, -72, -96, -75],\n [54, 9, -90, 54, 9, -9],\n [-44, 14, -116, 68, 86, 66]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[60, -6, -107, -5, -100, -24],\n [38, -114, -79, 27, -14, -123],\n [42, 4, -76, 8, -106, 13],\n [19, 126, -16, -71, -8, 63],\n [-35, 184, 83, -62, 14, 166],\n [-20, -38, 29, 31, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[10, 72, -8, -4, -81, -39],\n [-9, 126, 186, 34, -100, 59],\n [120, 67, 60, 11, 3, 40],\n [-83, -99, -86, -15, 47, -31],\n [-46, 79, 68, 11, -98, -7],\n [-85, 9, -10, -3, -59, -35]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[2, -7, -3, 6, 21, 14],\n [2, -25, -7, 21, 70, 49],\n [16, 34, -4, -27, -77, -63],\n [-58, -13, 39, 6, -21, 14],\n [42, -21, -35, 21, 98, 49],\n [-12, -12, 6, 9, 21, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 2 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[28, 58, 20, -212, 38, -18],\n [10, 37, -50, 8, -50, -12],\n [9, 28, 51, -34, -27, 46],\n [-119, -14, 35, -32, -80, -117],\n [-106, 5, 34, -82, -73, -117],\n [28, -24, -44, 144, -2, 44]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[118, -46, -28, -51, 21, -1],\n [8, -40, -10, -20, -48, -130],\n [55, -19, -34, -27, 15, -23],\n [7, -115, -82, -132, -36, -19],\n [0, -32, -39, -32, -22, -83],\n [59, -87, -22, -94, -10, 61]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 4 | MATH |
[
{
"content": "Compute the rank of the given 6x6 matrix:\n[[18, -55, -10, 91, -52, 21],\n [-84, -58, -28, -14, -88, 78],\n [-84, 1, -14, -91, -26, 45],\n [-19, 22, 2, -49, 17, -2],\n [-53, 21, -4, -84, 5, 17],\n [-5, 12, 2, -21, 11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[117, 81, 12, -27, -59, 89],\n [-24, 18, 36, 44, -2, -8],\n [-105, -90, -30, 5, 60, -85],\n [-15, -90, -90, -85, 40, -35],\n [-15, -36, -30, -25, 18, -19],\n [-78, 18, 72, 98, 10, -38]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 2 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.