id stringlengths 33 33 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringclasses 3
values | dataset stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_rank_train_0900 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[5, -37, -21, -5, 5],\n [-20, 1, 39, 40, 53],\n [-45, 0, -33, -6, -4],\n [-55, -19, 0, 26, 21],\n [-20, 31, 6, -3, -31]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0901 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[12, -39, -2, -11, 17],\n [37, 3, -2, -28, -13],\n [25, -2, -20, -31, -26],\n [20, 11, -25, -37, -42],\n [104, -37, 9, -19, 40]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0902 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[13, -17, 13, -4, 12],\n [43, -60, 50, 11, 30],\n [-20, 31, -29, -25, -6],\n [-4, 2, 2, 22, -12],\n [17, -26, 24, 19, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0903 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-6, 2, 27, 27, 3],\n [64, 65, 2, 27, -46],\n [10, 1, -1, 0, -31],\n [-11, -29, -13, -18, -1],\n [-37, -40, 22, 14, 44]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0904 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[16, -24, 6, 18, 12],\n [-8, -2, -3, 15, 0],\n [-13, 23, -18, -10, -4],\n [-32, 28, 18, -26, -32],\n [2, 6, -18, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0905 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-31, 66, 37, -25, 8],\n [-40, 20, -18, -2, -42],\n [14, -51, -5, 43, -20],\n [10, -41, -60, -10, -45],\n [-25, -6, 13, 48, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0906 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-41, -39, -14, -43, 23],\n [7, -10, -12, 40, -31],\n [47, 27, 62, 10, 1],\n [22, -1, 54, -13, 12],\n [10, -14, 20, 12, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0907 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-1, -31, 30, 9, 10],\n [-8, 4, -5, -12, 3],\n [9, -9, 10, 15, -2],\n [-42, -6, 0, -54, 24],\n [-7, -1, 0, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0908 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[20, 42, -6, 4, -10],\n [-8, -56, -2, -16, 6],\n [6, -22, -4, -16, -22],\n [0, -11, -5, 6, 47],\n [26, 65, -7, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0909 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[21, -17, 21, 9, -3],\n [-11, -1, -27, -19, -5],\n [14, -30, -11, 10, 32],\n [17, -13, 21, 25, 23],\n [25, -45, -8, 17, 43]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0910 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-24, -4, -3, 20, 0],\n [-56, -20, 3, 36, -8],\n [-30, 7, -15, 37, 9],\n [-26, -11, 3, 15, -5],\n [0, -32, 30, -32, -24]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0911 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[10, 6, -13, -12, -6],\n [-6, -8, 12, 6, 8],\n [1, 16, -16, 3, -16],\n [1, -6, 5, -3, 6],\n [8, -4, -2, -12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0912 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[16, 11, 42, -7, 16],\n [-15, 3, -40, 0, -10],\n [-12, 23, -4, -12, 17],\n [1, -1, -8, 4, -10],\n [-3, 9, -31, 0, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0913 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[31, -29, -25, 18, -20],\n [-2, -5, 8, 0, -9],\n [-19, 10, -23, -39, -3],\n [13, 0, -7, 15, 11],\n [34, -42, -28, 15, -38]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0914 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-2, -26, -36, 38, -28],\n [16, 32, 30, -25, -12],\n [-36, -22, -6, 18, 68],\n [-27, -19, 4, 30, 46],\n [-7, -33, -15, 1, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0915 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[23, -51, -24, -48, -10],\n [-11, 4, 22, -45, -20],\n [-31, 8, 29, 21, -26],\n [58, -8, 22, -12, -10],\n [-64, 13, -8, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0916 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-6, -18, 27, 6, -6],\n [7, 34, -49, -13, 15],\n [-17, -12, 24, -1, 7],\n [-2, -6, 9, 2, -2],\n [13, 26, -41, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0917 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-3, 9, 11, 2, -10],\n [9, 18, 12, -24, -15],\n [-9, 12, 18, 12, -15],\n [9, -22, -28, -8, 25],\n [-9, 12, 18, 12, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0918 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[6, 16, -34, 19, 3],\n [-34, 12, -28, -8, -14],\n [16, 23, -22, 22, -9],\n [5, 12, -24, 17, 0],\n [-22, 3, -24, 17, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0919 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[23, 20, -18, -11, -15],\n [19, 19, -22, -13, -10],\n [-13, 27, -12, -5, -28],\n [-13, 19, -33, -17, 1],\n [-21, 33, 1, 3, -47]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0920 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-45, -49, 29, 3, 4],\n [-27, -21, 6, -16, -10],\n [-48, -15, 24, -18, -6],\n [18, 30, 21, 53, 46],\n [21, 6, -51, 5, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0921 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-3, -72, 3, 15, 0],\n [45, -14, -13, 4, 4],\n [-24, -4, -15, -38, 14],\n [21, 43, -17, -36, 22],\n [40, 7, -54, -86, 50]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0922 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-21, 17, -26, -21, 29],\n [-6, 5, -8, -6, 11],\n [1, -2, 6, 1, -24],\n [-23, 17, -22, -23, 1],\n [30, -24, 36, 30, -36]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0923 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-23, 24, 4, -5, 28],\n [23, -22, -38, 27, 20],\n [11, 1, 20, -28, -47],\n [-12, 20, 1, -4, 21],\n [10, 7, 8, -27, -31]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0924 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-6, 16, 30, 55, -38],\n [0, -6, 10, 15, -2],\n [1, -2, -24, 11, 6],\n [-57, 31, 41, 52, -5],\n [-50, -10, 18, 78, 30]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0925 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-20, 1, 25, -46, 13],\n [15, -6, 11, -11, 27],\n [10, -2, 5, -8, 4],\n [-22, 5, 3, -12, -13],\n [28, -2, 8, -20, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0926 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[3, -15, -9, 0, 9],\n [10, -26, 1, -25, 37],\n [-10, 10, 12, -10, 0],\n [9, -27, -29, 20, 1],\n [-12, 2, 20, -30, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0927 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-38, 15, -5, 11, -4],\n [14, 10, 18, -26, 28],\n [12, -19, 1, 1, -10],\n [31, -28, 16, -15, 2],\n [-2, 3, -5, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0928 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-28, -6, -30, 4, -8],\n [-26, 6, -36, 2, -4],\n [7, -12, 17, 1, -2],\n [26, 21, 17, -6, 12],\n [-24, 18, -42, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0929 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-68, 13, 8, -11, -32],\n [20, 4, 32, 44, -25],\n [-33, 0, -43, -37, -6],\n [14, -38, 29, 13, 43],\n [11, -48, 15, 25, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0930 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-42, -11, -20, 5, 6],\n [-40, 53, 5, 28, 16],\n [24, 29, 14, -21, -2],\n [41, 24, 15, -38, -18],\n [1, 13, 15, 44, 14]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0931 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[60, 33, 15, 30, 21],\n [28, 10, 12, 8, 26],\n [-42, 3, -22, 8, -17],\n [24, -21, 23, -26, 23],\n [26, -10, 19, -14, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0932 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[21, 21, -2, 23, -48],\n [-15, 12, 4, -6, 45],\n [-36, -45, -17, -43, 36],\n [3, 24, 12, 9, 4],\n [18, 24, 13, 20, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0933 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[42, 34, 18, -22, -36],\n [-57, 1, -38, 2, -4],\n [0, 51, 25, -24, -22],\n [27, -27, 8, 12, 16],\n [3, -17, 1, 9, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0934 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-14, 3, 15, -12, -9],\n [-3, -17, -37, 20, 19],\n [15, 16, 38, -22, -20],\n [-8, 6, 12, -6, -6],\n [-10, -14, -31, 17, 16]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0935 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-56, -56, -55, -33, 4],\n [-44, -82, -38, 2, 60],\n [22, 40, 15, 58, -2],\n [-10, -16, -28, 17, 38],\n [30, 11, 46, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0936 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[8, 12, 2, 4, 6],\n [-2, 16, 14, 0, 2],\n [36, 16, -20, 16, 20],\n [-10, 42, 41, -2, 3],\n [40, 22, -19, 18, 23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0937 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[15, 10, -67, -72, 10],\n [-13, 31, 1, -12, -45],\n [18, -37, -11, 5, 39],\n [26, -13, -40, -30, -13],\n [30, -29, 13, 37, -68]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0938 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-14, -35, -30, 17, -13],\n [-12, -10, -17, -19, 39],\n [-1, -3, 3, -5, 6],\n [0, 5, -8, 5, -3],\n [-14, -20, -16, -18, 36]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0939 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-20, -38, 35, 6, 31],\n [2, 3, 16, 19, 29],\n [-3, 11, -16, -3, -20],\n [27, 37, -26, 0, -10],\n [-7, 42, 22, 65, 33]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0940 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-40, 20, -12, -34, 28],\n [-38, 12, -3, -26, 14],\n [-34, 16, -9, -28, 22],\n [-10, 0, 3, -4, -2],\n [8, -2, 0, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0941 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[28, -27, -3, 15, -1],\n [-24, 40, -16, -12, 4],\n [-6, -22, 28, -5, -1],\n [13, -6, 15, 10, -28],\n [17, -27, -30, 4, 46]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0942 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-25, 6, -2, -18, 30],\n [-1, 4, -6, 14, -33],\n [-32, 30, -30, -46, 4],\n [-4, 6, -15, -6, -20],\n [-1, 8, -1, 8, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0943 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-3, 11, 15, -24, 31],\n [-13, -2, -27, 5, -33],\n [-7, 12, 10, 7, -5],\n [4, -22, 46, 6, -8],\n [4, 15, -3, 49, -28]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0944 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[0, -11, -19, 24, 12],\n [-37, 47, 50, 45, 5],\n [14, -20, -33, 7, 26],\n [12, 6, 0, -12, 36],\n [14, -28, -19, 37, 26]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0945 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[0, -5, -14, -23, 33],\n [-45, -4, -30, -4, 0],\n [-48, -3, -21, 0, -12],\n [11, 7, -6, 35, -25],\n [-48, -5, -18, -11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0946 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-20, 13, 25, 3, -6],\n [-42, -24, -21, -3, 54],\n [-72, 11, 13, 3, 18],\n [18, -34, 19, -3, 54],\n [-2, 2, 54, 3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0947 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-5, 2, 3, 4, 17],\n [-10, 10, 5, 20, 55],\n [-9, 12, 4, 24, 60],\n [-10, 4, 6, 8, 34],\n [-12, -12, 10, -24, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0948 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-8, 10, -3, 1, -10],\n [20, -16, -7, 31, 18],\n [24, -28, -9, 15, 20],\n [12, -5, 23, 11, 27],\n [8, -13, 2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0949 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[4, -18, 5, 10, 21],\n [-14, 11, 2, 17, -15],\n [-6, -1, 3, 13, 0],\n [12, 10, -9, -34, -9],\n [-8, -4, 5, 20, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0950 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-19, -4, -38, 19, -14],\n [-9, 34, -18, 9, -36],\n [23, 6, 46, -23, 16],\n [2, 12, 4, -2, -8],\n [14, -48, 28, -14, 52]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0951 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[32, -33, -7, 3, 3],\n [-10, 21, 7, 28, 17],\n [0, 2, 20, 5, 10],\n [-4, 11, -31, 19, -1],\n [15, -21, -32, -13, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0952 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[7, -1, 10, -25, 6],\n [-5, 11, -6, 27, -2],\n [10, 5, 15, -30, 10],\n [18, 36, 30, -30, 24],\n [12, 15, 19, -28, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0953 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[68, -17, -55, -34, -16],\n [78, 6, -68, -20, 2],\n [66, -9, -63, 4, -28],\n [-1, 11, -11, 12, -13],\n [-45, 19, 43, 8, 35]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0954 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-17, 19, 0, 17, -12],\n [-19, -1, -14, 19, -20],\n [-27, 27, -2, 27, -20],\n [-1, 17, 10, 1, 4],\n [37, -8, 21, -37, 36]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0955 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-16, 3, 1, 13, -11],\n [32, -6, -2, -26, 22],\n [-7, 6, -8, 6, 3],\n [-14, 12, -16, 12, 6],\n [-25, 0, 10, 20, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0956 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-45, 25, -10, -20, 35],\n [6, 9, -10, 6, -2],\n [39, -30, -10, 24, -29],\n [-42, 36, -24, -12, 30],\n [-33, 20, 18, -18, 9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0957 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[8, -2, 4, -8, 0],\n [0, -21, 10, -14, -14],\n [-19, 16, -23, 17, -2],\n [-7, 28, -19, 21, 14],\n [52, -28, 40, -54, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0958 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-2, 8, 2, -12, 12],\n [20, 18, 1, -27, 13],\n [-2, 8, 2, -12, 12],\n [-34, -4, 4, 6, 14],\n [22, 24, 2, -36, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0959 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-44, 57, 13, 73, 9],\n [22, -29, 4, -28, -4],\n [23, -40, -3, -29, -2],\n [-20, -6, -33, 34, 9],\n [-17, 17, 10, 21, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0960 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-4, 25, -30, -33, 10],\n [0, 8, -12, -8, 2],\n [-20, -24, 66, -4, 4],\n [-2, -24, 39, 30, -11],\n [-16, 31, -24, -7, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0961 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-32, -2, 6, -12, -23],\n [-44, -14, -40, -2, -30],\n [74, 14, 30, 12, 50],\n [16, 20, 72, -12, 12],\n [12, -10, -42, 12, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0962 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-14, -24, 12, -12, 26],\n [-8, -6, -9, -12, -25],\n [9, 10, -11, 20, -32],\n [6, 2, -2, 19, -10],\n [25, 44, 4, 4, 31]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0963 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-50, -21, 26, 58, 7],\n [4, -24, 8, 8, -8],\n [-9, -39, 10, 26, -11],\n [-51, 0, -4, 44, 8],\n [62, 3, -30, -62, -17]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0964 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[0, -10, -28, -4, 14],\n [30, 0, 33, 24, -24],\n [32, -14, -4, 20, -6],\n [26, -2, 23, 20, -18],\n [-14, 3, -7, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0965 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-17, -17, 2, -19, 14],\n [-17, 17, 27, 7, 2],\n [22, -18, -32, -6, -4],\n [-28, -8, 18, -16, 16],\n [-42, -12, 27, -24, 24]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0966 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-18, 15, 7, -16, -14],\n [-43, -28, -43, -21, 35],\n [6, 9, 9, 4, -6],\n [8, -4, 4, 0, -8],\n [35, 38, 55, 5, -59]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0967 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[12, 8, -6, -6, -10],\n [-38, -27, 15, 14, 35],\n [8, 7, 0, 1, -10],\n [-30, -20, 15, 15, 25],\n [6, 14, 21, 27, -25]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0968 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[-16, -3, 36, -16, 7],\n [8, 10, -11, 36, 14],\n [-21, -8, 31, -22, 5],\n [-25, -35, -11, -38, -24],\n [-19, -14, 37, -39, -9]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0969 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-64, 51, 64, -26, 60],\n [-29, -12, -1, 7, 35],\n [34, 30, 9, 4, -38],\n [-42, 43, 50, -32, 41],\n [-12, -3, -1, 32, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0970 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-20, -11, -14, 12, -17],\n [-30, 47, 10, -30, -12],\n [-10, 44, 28, -26, -21],\n [15, -14, 2, 9, 3],\n [-25, 0, -10, 5, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0971 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[0, -21, -42, -3, -21],\n [27, 28, -9, 20, -11],\n [-4, -12, -9, -7, -3],\n [-1, 20, 30, 9, 14],\n [-3, -17, 6, -22, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0972 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[14, -16, 2, -16, -18],\n [-7, -17, 17, -10, 8],\n [8, -2, -4, -4, -10],\n [-11, -16, 19, -8, 13],\n [10, -40, 22, -32, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0973 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[33, -6, 54, -21, 9],\n [24, 0, 36, -36, 24],\n [1, 2, 0, -11, 9],\n [-15, 10, -30, -25, 25],\n [28, -8, 48, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0974 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-8, -5, 10, -6, -1],\n [0, 15, 0, -6, -9],\n [-24, 30, 30, -36, -30],\n [-16, 15, 20, -22, -17],\n [0, 30, 0, -12, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0975 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[4, -2, 16, 0, 21],\n [-10, 22, -34, -34, -19],\n [-30, -8, -26, 32, -41],\n [-42, 19, -64, 1, -42],\n [4, -16, 28, -2, -20]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0976 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-14, -10, -15, 6, 61],\n [-6, -13, -16, 3, 46],\n [15, 9, 6, -3, -37],\n [-31, -8, -3, 21, 35],\n [41, 0, 5, -30, -64]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0977 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[18, 4, -15, -17, -7],\n [-18, 8, 2, 46, -15],\n [-16, 4, 41, 7, 16],\n [20, -2, -6, -29, 5],\n [-8, -60, -45, 25, 21]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0978 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-14, -8, -2, -18, 8],\n [3, 8, -3, -7, 4],\n [24, 31, -6, 1, 2],\n [46, 42, -2, 32, -12],\n [56, 54, -4, 34, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0979 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[14, 1, -16, -7, 58],\n [10, 4, -17, -1, 50],\n [8, -2, -6, 0, 24],\n [-10, 14, -5, -27, 14],\n [-19, 5, 12, 11, -60]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0980 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[10, -8, 24, 16, 20],\n [1, -12, -6, -4, 2],\n [0, 24, 18, 12, 0],\n [7, -20, 6, 4, 14],\n [8, -8, 18, 12, 16]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0981 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[13, -8, 32, -9, -8],\n [9, -12, 12, 0, 18],\n [22, -13, -58, -5, 7],\n [-19, 16, 1, 32, 50],\n [8, 29, 28, 13, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0982 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "What is the rank of the matrix:\n[[2, 1, 9, 32, 10],\n [-14, 11, 63, 26, 6],\n [-18, 5, 31, 33, -10],\n [15, -5, -37, -46, 9],\n [-27, 1, -19, 48, 7]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0983 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-28, -38, -35, 13, 2],\n [-5, -6, 13, -24, 1],\n [6, -3, 10, 23, -40],\n [-49, -68, -25, 0, -11],\n [39, 52, -6, 13, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0984 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[4, 6, 1, -2, 0],\n [-12, -18, -3, 6, 0],\n [-3, 17, 4, -23, -12],\n [3, 36, 9, -36, -16],\n [-11, -28, -4, 20, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0985 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-28, -34, -42, 17, 45],\n [14, 62, 51, -9, -55],\n [-2, -28, -24, -18, 23],\n [30, 0, 15, -46, -20],\n [30, 22, 36, -15, -38]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0986 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-12, 9, 29, -6, 8],\n [-15, 42, 26, -28, 10],\n [-9, 6, 22, -4, 6],\n [9, -3, -23, 2, -6],\n [-15, 24, 32, -16, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0987 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-39, 39, 27, -9, 19],\n [-36, -15, 24, -58, -8],\n [-44, 29, -26, -30, 18],\n [17, 58, -31, 73, 29],\n [14, 13, 0, 28, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0988 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-5, -12, -10, -4, 2],\n [-1, -45, 54, 14, 3],\n [9, -19, -8, 15, 33],\n [-6, -32, -18, -1, 16],\n [-23, -36, -20, -21, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0989 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[-20, 21, 0, 6, -23],\n [-15, 19, -5, 4, -22],\n [-25, 10, 25, 10, -5],\n [12, -10, -4, -4, 10],\n [5, -2, -5, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0990 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-33, 27, 15, -5, 0],\n [14, -12, -5, 0, 2],\n [23, 15, -11, -12, 44],\n [1, 3, -2, 1, 2],\n [-16, 24, -12, 26, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0991 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-34, 4, -32, 32, -4],\n [-6, -2, -18, 20, 10],\n [6, -15, -37, 8, 29],\n [-12, -9, -39, 12, 15],\n [4, 12, 36, -2, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0992 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[25, -17, -11, -1, -7],\n [23, -28, -26, -26, 17],\n [9, -15, -25, 21, 37],\n [20, -43, -43, -1, 10],\n [12, -16, -8, -4, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0993 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-6, 4, 18, -18, 7],\n [-2, -24, -26, 22, -13],\n [-25, -8, 32, -46, 2],\n [-57, -5, 48, -78, -14],\n [0, -9, 18, 8, 26]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0994 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[2, 8, -3, -4, -4],\n [-35, 16, 19, 3, -8],\n [34, 17, -18, -2, 3],\n [-23, 3, -5, -33, -31],\n [6, -2, 5, 16, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0995 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[6, -20, -14, -6, -14],\n [7, -10, -7, -6, -6],\n [20, 30, 36, -3, 35],\n [2, 0, 30, 18, 14],\n [16, 0, 0, -12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0996 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-15, 27, -3, 18, -42],\n [-16, 26, 0, 21, 6],\n [-12, 28, -4, 16, -24],\n [20, -38, 2, -27, -2],\n [-5, 5, 1, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_rank_train_0997 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[13, 23, -24, 9, 23],\n [-8, -22, 21, -6, -22],\n [34, 0, -15, 20, 0],\n [-20, 30, -15, -10, 30],\n [38, -6, -12, 22, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_rank_train_0998 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Calculate the rank of matrix A where A =\n[[21, -24, -5, -30, -7],\n [26, -64, 22, 14, -22],\n [-1, 48, -16, 12, 11],\n [-53, -2, 4, 22, -1],\n [8, 18, -13, 27, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_rank_train_0999 | arithmetic_matrix_rank | null | [
{
"role": "user",
"content": "Compute the rank of the given 5x5 matrix:\n[[-8, -4, 32, 12, 16],\n [-50, -25, 0, -45, 10],\n [10, 5, -40, -15, -20],\n [42, 21, -8, 33, -12],\n [-30, -15, 0, -27, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
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