| {"messages": [{"content": "What is the rank of the matrix:\n[[55, 7, 22, -26, -54, 20],\n [-40, 32, -84, -46, 30, 38],\n [40, 4, 18, -17, -39, 13],\n [5, -55, 104, 95, 9, -77],\n [-40, 56, -128, -88, 24, 72],\n [85, 25, 8, -65, -87, 51]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[210, 76, 14, 42, -113, 156],\n [42, 4, -44, 68, 80, 50],\n [-160, -48, -32, -37, 110, -125],\n [-59, 66, -4, -221, -65, -154],\n [-37, -26, 48, -3, -79, -6],\n [-121, -2, -32, -93, 41, -124]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[-10, 26, -50, -84, 41, 30],\n [-4, -105, 81, 87, -60, 32],\n [-8, -12, -1, -32, -50, -108],\n [7, 66, -21, 36, 83, 112],\n [-64, -80, -10, -90, -1, 70],\n [20, -98, -7, -102, -10, 76]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[-21, 93, 48, 30, 51, 63],\n [0, -90, -72, 0, -72, -72],\n [7, 39, 40, -10, 39, 35],\n [-63, 19, -64, 90, -55, -19],\n [28, 66, 88, -40, 84, 68],\n [63, 1, 80, -90, 71, 35]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[73, 45, -21, 32, 97, 33],\n [-8, 72, 8, 20, 20, -20],\n [63, -81, -27, -9, 36, 54],\n [34, -90, -18, -19, 1, 39],\n [-92, -36, 28, -34, -114, -46],\n [-68, -36, 20, -28, -88, -32]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[-22, -76, 125, 3, 34, 36],\n [29, -8, -45, 54, -68, 53],\n [-26, 40, 4, -66, 68, -78],\n [-30, -40, 100, -30, 60, -10],\n [14, 0, -26, 24, -32, 22],\n [-4, -24, 34, 6, 4, 16]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[-12, 108, 164, 10, 24, 54],\n [-8, -80, -192, -22, -50, -34],\n [-120, -70, -52, -52, -64, -46],\n [66, 131, 104, 17, 80, 74],\n [18, 105, 66, -12, 63, 57],\n [-40, -16, 52, -1, -21, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[95, 96, -33, -21, -202, 91],\n [130, -110, -30, -14, -167, -25],\n [-21, -19, -150, -10, -195, 24],\n [-97, -101, -54, 38, 42, -119],\n [25, 111, -25, -11, -153, 20],\n [-154, 32, -37, 17, 166, 48]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-50, -128, -37, -166, 94, 84],\n [-205, 48, 24, -129, 168, 103],\n [50, -41, 93, -2, 55, -70],\n [128, -50, -109, 44, -32, 40],\n [66, -33, 20, 22, -15, -41],\n [73, -149, 145, -63, -29, -147]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[-59, -101, 90, 30, 26, 127],\n [-77, -3, -8, -39, -58, -49],\n [-48, -56, -48, 57, -42, -146],\n [-7, 1, -34, 22, 3, -59],\n [-54, -134, 1, 101, -35, -98],\n [94, -16, -11, 62, 24, -22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[67, -104, 19, -65, -76, 141],\n [107, -42, 10, -50, 59, -23],\n [-6, -116, 64, -120, -162, 238],\n [-50, -7, 4, 5, -65, 64],\n [-43, -30, 37, -53, -82, 103],\n [-133, 94, 3, 45, -6, -55]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[19, 11, 129, 3, -50, -32],\n [-97, -82, -68, -74, 139, 12],\n [-47, -45, -103, -17, 80, 20],\n [-45, -52, -170, 8, 89, 32],\n [48, 55, 108, 4, -81, -17],\n [28, 20, -57, 39, -26, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-125, -105, -104, 78, -19, 61],\n [100, 80, 88, -56, 28, -52],\n [75, 60, 66, -42, 21, -39],\n [50, 10, 80, 20, 110, -50],\n [145, 124, 118, -94, 15, -69],\n [-5, -1, -8, -2, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[-56, -43, -34, 9, -74, 67],\n [-76, -38, 16, -66, -4, -58],\n [140, 79, -2, 87, 50, 41],\n [-29, -7, 29, -54, 34, -77],\n [-46, -17, 28, -63, 26, -79],\n [-63, -46, -31, 1, -72, 58]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-12, -24, -39, -3, -27, 24],\n [9, 18, 72, 90, 54, -81],\n [28, 56, 34, -110, 18, 28],\n [-21, -42, -54, 24, -36, 21],\n [-26, -52, -75, 13, -51, 38],\n [4, 8, 13, 1, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[7, 51, -38, 41, -45, 63],\n [-84, -44, -138, -36, -44, 58],\n [54, 42, 54, 42, 0, -4],\n [-56, -44, -128, -16, -50, 52],\n [-44, 46, -8, -16, 1, 38],\n [-25, 79, -7, 13, -17, 62]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[8, -98, 52, -10, -54, 102],\n [-6, -37, 44, 42, -18, 78],\n [-2, -101, -94, -75, -97, -19],\n [34, -1, 94, -49, 37, 31],\n [-2, -26, 2, 3, -19, 23],\n [9, -26, -40, -61, -25, -37]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[114, -86, 40, 38, -66, -50],\n [36, -89, -35, -28, -39, -65],\n [-65, -50, 63, 5, -122, -16],\n [89, -36, -57, -13, 48, -38],\n [22, -88, 40, 10, -104, -48],\n [69, 39, 32, 47, 37, 29]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-68, -6, -108, -132, 10, -132],\n [110, -72, 11, 71, -186, 26],\n [-52, -85, -52, 34, -42, 20],\n [-54, 29, 58, -48, 107, -2],\n [19, -17, 43, -24, -23, -23],\n [-146, -23, -3, -15, 150, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-42, 33, 39, -24, 6, 3],\n [-14, 11, 13, -8, 2, 1],\n [-24, 16, 28, -58, 32, 26],\n [44, -34, -42, 34, -12, -8],\n [2, -7, 9, -83, 54, 46],\n [-28, 28, 14, 77, -56, -49]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-40, -74, 20, -11, 49, 23],\n [5, -51, 0, -39, 25, 36],\n [-97, 31, 32, -41, 7, 80],\n [38, 102, -18, 78, -62, -90],\n [62, 46, -22, 94, -38, -118],\n [55, 69, -30, -84, -52, 69]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[-144, -51, -21, 103, 46, 64],\n [-19, 38, -3, -10, -30, 20],\n [-27, -18, 5, 30, 10, 16],\n [36, 105, 41, -49, -108, 33],\n [-112, 41, -9, 43, -34, 76],\n [9, -24, 13, 16, 12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-97, -14, -30, -53, 12, -85],\n [-5, 140, 45, 20, 45, 40],\n [-1, -102, -34, -17, -32, -33],\n [18, 146, 53, 33, 43, 61],\n [-42, -124, -52, -42, -32, -74],\n [-54, 82, 13, -15, 35, -19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[-25, -3, 20, 65, -86, -24],\n [27, -10, -45, -75, 24, -71],\n [-2, 31, 19, 33, -19, -79],\n [39, -90, 55, -86, 28, -106],\n [-36, 112, -72, 78, 3, 131],\n [13, -1, 52, 4, 8, -101]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-45, 24, -9, 104, 9, -88],\n [90, -7, 32, -42, 63, 94],\n [-18, -52, -10, -170, -162, 38],\n [-153, 27, -87, 35, 36, -61],\n [-81, 40, -65, 51, 153, 11],\n [-135, -9, -57, -22, -126, -94]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[-88, 51, -58, 60, -28, -25],\n [110, -61, -54, -29, 72, 68],\n [-36, -2, -14, -23, 39, -78],\n [-43, 109, -30, 33, -48, -130],\n [161, -169, 46, -95, 132, 142],\n [29, -10, 112, -32, -48, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[119, -59, 17, -115, 79, -43],\n [175, 102, 52, -93, 106, 116],\n [-31, 51, -175, -35, -25, -1],\n [58, -116, 102, 31, 34, -73],\n [-24, 73, 2, 88, -32, -2],\n [-33, -29, -69, -11, -17, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[-3, -70, 98, 62, 99, -84],\n [15, 31, -39, -24, -44, 35],\n [-63, -49, 49, 28, 70, -49],\n [-96, -7, -21, -18, 11, 7],\n [-150, -20, -20, -20, 30, 0],\n [27, -66, 102, 66, 93, -84]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[-30, 9, 27, 15, -14, -15],\n [15, -26, -8, 15, -14, 15],\n [-103, -24, 126, 107, -86, -21],\n [-96, -40, 104, 120, -112, -24],\n [-14, 2, 95, 1, 58, 42],\n [-8, -63, 48, 70, -48, 33]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[15, -45, -25, -1, 18, -4],\n [46, -117, -81, -132, 13, 15],\n [74, 91, 41, 23, 107, 35],\n [29, 106, 72, 140, 81, 3],\n [100, 11, 127, 106, -11, -2],\n [-46, 67, 31, 68, -11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[83, 49, -23, -34, 50, 53],\n [52, -15, -18, -91, 63, 57],\n [-78, -69, -63, -26, 5, -15],\n [161, 92, 20, -46, 89, 94],\n [105, 116, 88, 62, -47, -2],\n [75, 32, 64, -28, 10, 28]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[69, 105, -9, 12, -9, -162],\n [-110, 82, 187, 73, 162, -3],\n [-5, -25, -7, 3, 2, -7],\n [135, 27, -158, -82, -168, 12],\n [36, 12, -49, -44, -69, 84],\n [-73, -125, 19, 27, 52, 25]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[-104, 127, -82, 79, -125, -101],\n [-99, 36, 23, 20, -89, 24],\n [7, 66, 116, 19, -70, 113],\n [-30, 102, 72, 49, -25, 172],\n [36, -166, 63, -64, 4, -29],\n [-34, 163, -136, 127, 74, 78]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[63, -9, 72, 153, -90, -90],\n [-75, -97, 35, -28, 70, 31],\n [-58, -58, 8, -46, 60, 36],\n [41, 19, 19, 64, -50, -41],\n [21, 55, -41, -32, -10, 11],\n [-70, -106, 50, -4, 60, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[3, -3, 16, -3, -8, -11],\n [-72, -24, 88, -72, -128, 64],\n [-36, 12, -74, 0, 16, 82],\n [14, 14, -63, 28, 56, 7],\n [39, -3, 31, 15, 16, -68],\n [45, -9, 63, 9, 0, -90]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[17, 42, -43, -67, -32, 18],\n [2, -32, 20, 13, 82, -57],\n [-25, -72, 71, 62, 70, -3],\n [-5, -35, 30, -70, 60, 55],\n [-2, 44, -28, -27, -110, 83],\n [1, 15, -10, -64, -32, 71]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[6, -37, -27, -33, -39, 95],\n [-14, 17, 63, -27, -13, -31],\n [-36, 14, 162, -114, -78, 2],\n [0, 36, 0, 54, 54, -99],\n [28, -26, -126, 66, 38, 40],\n [-26, 7, 117, -87, -61, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[-2, -14, 17, -39, 6, -7],\n [1, -24, 21, -45, 2, -5],\n [-39, 54, 26, -44, 72, -68],\n [18, -84, 66, 36, 6, -66],\n [24, 10, -76, -3, -77, 124],\n [55, -94, -6, 112, -80, 40]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[102, 46, -26, 44, -86, 28],\n [-9, -14, -13, 16, 29, -30],\n [108, 38, -44, 68, -68, 0],\n [-96, -15, 68, -98, 20, 52],\n [27, 29, 19, -22, -59, 54],\n [-33, -8, 19, -28, 13, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[38, -30, 75, -12, -155, -111],\n [-24, -94, 113, 168, -37, -102],\n [61, 38, -98, -129, 9, -10],\n [5, -44, 80, 79, -83, -75],\n [-8, 52, -16, -36, -8, 76],\n [57, -32, 42, 9, -123, -118]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[94, 125, 97, 86, -133, 53],\n [25, 47, 52, 26, -25, 5],\n [28, 61, 75, 10, -21, 1],\n [34, 61, 69, -62, -33, 13],\n [-39, -32, -5, 34, 68, -38],\n [-17, -38, -51, 85, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[-58, 80, -111, -46, 3, -26],\n [9, -115, 112, 23, -115, 77],\n [-105, 7, -62, -31, -35, 94],\n [-106, -58, 29, 15, -30, 96],\n [-167, -39, 39, 52, 59, 15],\n [10, -50, 54, -2, -120, -30]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[-73, 67, 72, 37, -12, -108],\n [-54, 88, 85, 43, 60, -198],\n [-153, 130, 106, 87, -47, -139],\n [-9, 55, -8, -95, 5, -8],\n [-86, 29, 21, 83, -79, 37],\n [-26, 93, -56, -98, 8, 49]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine the rank of the following matrix:\n[[62, 8, 42, -14, -6, 4],\n [20, -48, -4, 44, -100, 24],\n [-46, 32, -18, -26, 78, -20],\n [110, 30, 80, -40, 20, 0],\n [-86, 30, -44, -20, 88, -24],\n [-5, 12, 1, -11, 25, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[4, 28, 44, 4, -20, -20],\n [81, 12, -84, -24, 30, 75],\n [8, 56, 88, 8, -40, -40],\n [90, 38, -50, -22, 14, 62],\n [-36, 7, 59, 13, -23, -44],\n [-57, -29, 23, 13, -5, -35]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the rank of the matrix:\n[[-34, 5, 157, 54, -9, 69],\n [134, -15, -2, -63, -34, 14],\n [77, -141, 31, -212, -103, 141],\n [-45, 30, -57, 38, -33, -103],\n [132, 43, -171, -11, 41, -97],\n [21, 42, -120, 30, -12, -123]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-63, -1, -62, -45, -80, -55],\n [23, -68, 46, -9, 45, 29],\n [-20, 58, -40, 8, -38, -24],\n [-54, -42, -52, -34, -30, -6],\n [-28, 104, -64, 20, -58, -36],\n [22, 41, 20, 12, -9, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"} | |
| {"messages": [{"content": "Calculate the rank of matrix A where A =\n[[-74, -76, -137, 48, 141, 13],\n [10, 34, -26, 214, -36, 70],\n [-82, -65, 164, 24, -20, -25],\n [-21, -63, -18, -40, 22, -4],\n [27, -5, 162, -122, -97, -34],\n [24, -185, -9, 1, -110, 68]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the rank of the given 6x6 matrix:\n[[73, -72, 62, -47, 57, 88],\n [-70, 80, -80, 30, -130, -20],\n [-58, 56, -47, 39, -37, -77],\n [-61, 56, -44, 45, -19, -98],\n [45, -40, 30, -35, 5, 80],\n [-24, 24, -21, 15, -21, -27]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the rank of the matrix:\n[[-70, 46, -37, -86, 11, 7],\n [71, -32, 34, 97, -6, -28],\n [-12, -60, 10, -60, -22, 98],\n [-16, -8, -4, -32, -4, 28],\n [7, -10, 5, 5, -3, 7],\n [-1, -14, 3, -11, -5, 21]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"} | |