Dataset Viewer
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[
{
"content": "Determine the rank of the following matrix:\n[[59, 8, 18, -23, 14],\n [62, 22, 31, -20, -2],\n [53, -30, 4, -14, 30],\n [-11, 56, 25, 26, 24],\n [0, -44, -34, -27, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[6, 35, 9, -10, 16],\n [-30, -43, -1, 28, -36],\n [-6, -41, -11, 11, -18],\n [30, 19, -7, -24, 28],\n [-36, -54, -2, 34, -44]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-24, -2, 0, -38, 48],\n [12, -2, 0, 25, -42],\n [-12, 0, 0, -21, 30],\n [-16, -3, 0, -22, 22],\n [-4, -3, 0, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[12, 14, 11, 22, 3],\n [-2, 15, 25, 18, 19],\n [-12, 37, -2, -10, 35],\n [46, -38, 2, 26, 9],\n [-48, 14, -17, -42, -27]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-28, -35, 13, 22, 26],\n [4, 45, 11, 4, -8],\n [6, 39, 9, 3, -6],\n [-10, -64, -18, -9, 4],\n [36, 14, -30, -38, -36]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[11, -11, 15, 20, -13],\n [-15, 25, -15, -30, 25],\n [-9, -29, -33, -6, -17],\n [-24, 18, -36, -42, 24],\n [-8, -16, -24, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[6, 2, -4, -3, -1],\n [12, 4, -8, -6, -2],\n [-12, -4, 8, 6, 2],\n [36, 12, -24, -18, -6],\n [-24, -8, 16, 12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-3, 18, -9, 18, -12],\n [5, -30, 15, -30, 20],\n [-3, 18, -9, 18, -12],\n [-6, 36, -18, 36, -24],\n [-5, 30, -15, 30, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-30, 3, -2, 14, 2],\n [0, 13, 3, -11, -3],\n [-24, -23, -13, 37, 1],\n [-18, -12, 15, 5, 27],\n [-66, 12, -17, 37, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[0, 0, 0, 0, 0],\n [-18, -12, 0, -12, 6],\n [30, 20, 0, 20, -10],\n [6, 4, 0, 4, -2],\n [30, 20, 0, 20, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[2, -8, 0, -4, 10],\n [-3, 12, 0, 6, -15],\n [-4, 16, 0, 8, -20],\n [-1, 4, 0, 2, -5],\n [-1, 4, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-61, 55, 2, -21, -67],\n [58, -43, -25, 15, 28],\n [-4, 40, 27, -33, -27],\n [-18, 6, -31, -5, -11],\n [-27, 12, 45, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-5, 10, 25, -20, 25],\n [1, -2, -5, 4, -5],\n [-4, 8, 20, -16, 20],\n [2, -4, -10, 8, -10],\n [-4, 8, 20, -16, 20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-2, 45, -15, 19, -13],\n [-35, 25, -2, 46, -9],\n [8, 32, 0, 8, 6],\n [43, 29, -12, -32, 1],\n [2, -5, 27, 5, 32]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-9, -12, -15, -18, 0],\n [-16, -16, 52, 7, 2],\n [12, -3, -35, -31, -22],\n [-26, -2, -12, 19, 42],\n [-44, -36, -4, -21, 26]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-15, 38, 10, 50, -17],\n [-9, 0, -14, -15, 57],\n [-12, -26, 29, 10, -10],\n [-15, 16, -15, 0, 61],\n [9, 34, -23, 5, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-25, 5, -5, -10, -10],\n [-10, 2, -2, -4, -4],\n [15, 30, -20, -20, 20],\n [16, 10, -6, -4, 12],\n [17, -10, 8, 12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[20, -7, 18, 2, -5],\n [21, -24, 10, 19, -11],\n [-5, 14, -22, -46, -4],\n [-8, -1, 22, 46, 13],\n [10, -20, -12, 1, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[7, 3, -4, 12, -4],\n [-3, -11, 4, 12, -8],\n [-30, -25, 20, -30, 5],\n [22, 24, -16, 12, 2],\n [33, 19, -20, 48, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-4, 10, 2, 6, -4],\n [10, -25, -5, -15, 10],\n [2, -5, -1, -3, 2],\n [8, -20, -4, -12, 8],\n [12, -30, -6, -18, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-3, -15, 18, 5, -20],\n [-8, 4, 10, -42, 26],\n [28, 1, 22, 34, -32],\n [-9, -29, 23, 18, -39],\n [-16, -38, 18, 30, -50]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[20, -10, 10, 10, -10],\n [12, -6, 6, 6, -6],\n [0, 0, 0, 0, 0],\n [20, -10, 10, 10, -10],\n [20, -10, 10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-10, 0, 12, -12, -12],\n [-23, -13, 1, 21, 12],\n [19, 13, -14, -26, 21],\n [45, 10, -43, -45, 51],\n [-4, 55, 32, -12, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[34, 50, 41, 14, -28],\n [-24, 16, 41, 38, 62],\n [-69, -55, -71, 3, -10],\n [-29, 29, -25, -15, 10],\n [23, -11, -47, -41, -72]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[16, 1, 23, 1, -6],\n [16, 2, 22, 2, 0],\n [8, -2, 14, -2, -18],\n [0, 3, -3, 3, 18],\n [-24, -9, -27, -9, -36]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[30, 18, 45, -24, -21],\n [-25, -42, -15, 29, 31],\n [-30, -66, -5, 40, 45],\n [30, 24, 40, -26, -24],\n [-20, 0, -40, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-3, -6, -9, 0, -6],\n [1, 2, 3, 0, 2],\n [4, 8, 12, 0, 8],\n [4, 8, 12, 0, 8],\n [-5, -10, -15, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[42, -32, -23, 4, -35],\n [-22, 39, 16, 36, 8],\n [30, 24, -28, 4, -32],\n [40, -9, -29, 18, -34],\n [-26, -12, 22, -12, 26]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-5, 14, -4, -7, -7],\n [-2, 20, -4, 2, -22],\n [-4, 22, -5, -2, -20],\n [-13, 22, -8, -23, 1],\n [2, 10, -1, 8, -18]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[1, -7, -5, -1, 0],\n [-18, -6, -24, -24, 6],\n [26, 46, -12, 33, -15],\n [26, 5, -7, 16, -13],\n [29, -14, -5, -12, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[13, -39, 41, 25, 7],\n [12, -2, -4, -7, 13],\n [-38, 2, 18, 26, -42],\n [15, -35, 35, 20, 10],\n [-2, -30, 38, 28, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[13, -7, 19, 16, -6],\n [-21, 34, -8, 53, 17],\n [-11, 25, -23, 36, 24],\n [3, -4, 20, 7, -11],\n [1, -7, 0, -18, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-1, 12, 17, 21, -4],\n [21, -27, -7, 9, 9],\n [10, -21, -16, -12, 7],\n [-4, 3, -2, -6, -1],\n [-30, 36, 6, -18, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-15, -12, -15, 15, 18],\n [-24, -6, 24, 36, 24],\n [14, 20, 46, -6, -20],\n [9, -6, -39, -21, -6],\n [-3, 2, 13, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-20, 34, 13, 0, -16],\n [35, -29, 6, -19, 4],\n [-5, 8, 29, -46, -35],\n [0, -58, -51, 15, 89],\n [5, 13, -12, 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[[-19, 55, -12, -33, -9],\n [-31, -11, -56, 25, -8],\n [-52, 66, 32, -2, -22],\n [-41, 39, -34, -14, -1],\n [-8, -21, 50, 40, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-7, 11, -5, 12, 2],\n [3, 1, 5, 0, -6],\n [-11, 23, -5, 24, -2],\n [-10, 20, -5, 21, -1],\n [15, -15, 15, -18, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-27, 54, -34, -25, -6],\n [21, -42, 30, 23, 2],\n [21, -42, 26, 19, 5],\n [-30, 60, -40, -30, -5],\n [36, -72, 48, 36, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[8, 19, 21, 10, 18],\n [18, 28, -17, 17, 33],\n [-10, -25, 13, -20, 4],\n [-12, -32, 6, -18, -40],\n [14, 12, -33, 5, 41]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-30, -30, -20, -30, -10],\n [-6, -6, -4, -6, -2],\n [-6, -6, -4, -6, -2],\n [-18, -18, -12, -18, -6],\n [-30, -30, -20, -30, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-23, 60, -25, -11, 72],\n [-16, 51, -34, -4, 42],\n [-5, 12, 55, -53, 12],\n [-4, 7, 47, -42, 12],\n [-14, 66, 10, -62, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-30, 0, 30, 30, 24],\n [-10, -5, 21, 13, 16],\n [-40, 10, 18, 34, 16],\n [5, 20, -49, -17, -36],\n [-20, 30, -46, 2, -32]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[0, 1, -1, -2, 3],\n [-9, -40, -5, -10, 6],\n [-9, -41, -4, -8, 3],\n [2, 5, 5, 10, -13],\n [7, 33, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[3, -15, -12, 9, -18],\n [-6, 30, 24, -18, 36],\n [-5, 25, 20, -15, 30],\n [0, 0, 0, 0, 0],\n [4, -20, -16, 12, -24]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-21, 29, -19, -5, -13],\n [0, -10, -20, -20, 25],\n [-33, 43, -35, -13, -14],\n [6, -14, -6, -10, 18],\n [-6, 16, 10, 14, -23]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-4, -17, -13, -33, -45],\n [24, -2, 26, 16, 10],\n [16, 4, 20, 20, 20],\n [-8, -6, -12, -17, -20],\n [4, 17, 13, 33, 45]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[3, -15, -12, -9, 18],\n [-6, 30, 24, 18, -36],\n [5, -25, -20, -15, 30],\n [4, -20, -16, -12, 24],\n [-3, 15, 12, 9, -18]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[24, -4, 12, -30, -10],\n [28, -2, 10, -39, -13],\n [12, -12, 21, 0, 0],\n [4, -6, 10, 3, 1],\n [-32, 8, -20, 36, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[90, 54, 56, 23, -10],\n [-9, -23, 11, 20, 10],\n [-54, -30, -21, -21, 7],\n [39, 33, 13, -15, -10],\n [42, 22, 3, -11, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[17, 16, 9, -15, 19],\n [28, 25, 13, -24, 31],\n [-7, -12, -11, 9, -9],\n [24, 5, -11, -12, 23],\n [-9, 24, 39, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-6, 14, -6, -32, -12],\n [28, 2, 6, 36, 28],\n [-40, -8, -2, -36, -42],\n [28, 10, 16, 40, 14],\n [-34, -4, -6, -40, -34]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-2, 16, -26, 22, 18],\n [-10, 20, 30, 10, -10],\n [-14, 34, 26, 24, -4],\n [0, 12, -32, 20, 20],\n [1, -5, 5, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[44, 7, -43, -31, 8],\n [16, -36, 32, -2, 38],\n [13, -15, 8, -5, 17],\n [-14, 10, -24, 10, -66],\n [6, -42, 48, 6, 42]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[0, 0, 0, 0, 0],\n [5, -1, 3, 1, 3],\n [-20, 4, -12, -4, -12],\n [-10, 2, -6, -2, -6],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[28, -20, -40, -1, 3],\n [-26, -6, -41, -10, -8],\n [10, -6, -86, 8, 28],\n [2, 6, 71, -2, -16],\n [2, 6, 71, -2, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[5, 8, 8, 5, -21],\n [-20, -25, -18, -13, 49],\n [10, 11, 6, 5, -17],\n [15, 20, 16, 11, -43],\n [5, 2, -4, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-20, 20, 25, -30, 15],\n [4, -4, -5, 6, -3],\n [-24, 24, 30, -36, 18],\n [4, -4, -5, 6, -3],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[4, 12, -16, 24, 20],\n [2, 6, -8, 12, 10],\n [-1, -3, 4, -6, -5],\n [4, 12, -16, 24, 20],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-27, 21, 7, 38, 40],\n [29, -30, -12, -21, -34],\n [-34, -4, 8, 26, 52],\n [-36, 36, 12, 42, 48],\n [12, 6, -2, -10, -20]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-18, 14, -28, 20, 2],\n [0, 6, -10, -16, 22],\n [18, -30, -12, 6, 6],\n [-45, 46, -19, 38, -24],\n [-18, 12, -14, 28, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[10, -3, 33, -30, -18],\n [-8, 2, -26, 24, 12],\n [-6, 3, -21, 18, 18],\n [4, -3, 15, -12, -18],\n [6, -3, 21, -18, -18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[11, -1, 1, -12, -9],\n [19, 6, 20, -4, -2],\n [-21, -7, -25, -7, -4],\n [-18, -11, -23, 37, 16],\n [-3, 0, -6, -24, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[3, -12, -33, -21, 19],\n [20, -31, 21, 34, 16],\n [-22, 52, 9, -11, -29],\n [21, -40, 14, 27, 18],\n [-28, 13, 4, 22, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-38, -4, -28, -2, -17],\n [36, -2, 26, -1, 14],\n [14, 20, 12, 10, 13],\n [-24, 60, -12, 30, 12],\n [34, -8, 24, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-18, 22, -8, -36, 0],\n [31, 39, 20, -18, -38],\n [12, 18, -6, -3, -6],\n [26, -18, -16, 52, 14],\n [-33, 13, 10, -51, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-20, -10, -52, -15, 19],\n [-12, 1, -28, -19, 17],\n [12, 6, 36, 15, -17],\n [-16, 28, 4, -27, 10],\n [16, -15, 16, 26, -16]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-16, -15, 2, -4, 24],\n [-26, -20, 4, -6, 36],\n [18, -40, -12, -2, 12],\n [18, -5, -6, 2, -12],\n [-36, 10, 12, -4, 24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[0, 10, 30, 15, -10],\n [0, -10, -30, -15, 10],\n [0, 2, 6, 3, -2],\n [0, -8, -24, -12, 8],\n [0, -8, -24, -12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-5, -20, -10, -20, 10],\n [-14, -8, -28, 16, -20],\n [6, -8, 12, -24, 20],\n [11, 20, 22, 8, 2],\n [0, 8, 0, 12, -8]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[15, 20, 10, 30, 25],\n [-9, -12, -6, -18, -15],\n [6, 8, 4, 12, 10],\n [-3, -4, -2, -6, -5],\n [-18, -24, -12, -36, -30]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-2, -26, 2, 18, 18],\n [-19, 52, -18, -62, 9],\n [-26, 43, 11, -39, 9],\n [17, -36, -9, 32, -10],\n [27, -2, 23, 18, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-3, 5, -1, 5, -2],\n [-18, 30, -6, 30, -12],\n [0, 0, 0, 0, 0],\n [0, 0, 0, 0, 0],\n [18, -30, 6, -30, 12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-7, 7, 15, -23, 24],\n [13, -11, -29, 41, -44],\n [4, 2, -12, 8, -12],\n [6, -18, -6, 30, -24],\n [-7, 0, 19, -17, 22]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-18, 6, -12, 18, 30],\n [-7, 11, -6, 11, 15],\n [-13, 26, -12, 23, 30],\n [5, -19, 6, -13, -15],\n [5, -45, 10, -25, -25]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-42, 47, 4, 34, -11],\n [16, -35, 9, -37, 16],\n [-5, -10, -7, 5, -12],\n [-20, 5, -14, 12, 25],\n [-26, 20, -2, 22, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-13, 7, 5, 3, -8],\n [-7, 1, 7, -3, 0],\n [12, -3, -10, 3, 2],\n [-3, 12, -15, 18, -18],\n [13, -16, 9, -18, 22]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[3, -15, -6, -6, -6],\n [-1, 5, 2, 2, 2],\n [3, -15, -6, -6, -6],\n [-10, 26, 32, 26, 32],\n [0, -8, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-4, 0, 20, 44, 4],\n [4, 0, -8, 7, -13],\n [2, 0, -10, -22, -2],\n [-10, 0, 34, 42, 22],\n [-7, 0, 19, 9, 19]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[0, -36, -30, -6, 18],\n [0, 0, 0, 0, 0],\n [0, -36, -30, -6, 18],\n [0, 6, 5, 1, -3],\n [0, 6, 5, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[14, -28, 35, -14, 39],\n [-15, 30, -25, 10, -30],\n [-2, -8, 25, 2, 33],\n [-13, 6, -25, 30, -12],\n [-9, 20, -10, 2, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[24, -2, 19, -21, -3],\n [-35, 5, -25, 30, 5],\n [15, 5, 20, -15, 0],\n [-18, 14, 2, 12, 6],\n [-9, 7, 1, 6, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-6, 12, -54, -12, -12],\n [41, 10, 30, 25, 35],\n [-6, -18, 54, 34, 20],\n [-25, -10, 0, -55, -45],\n [40, 6, 48, -26, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[8, 20, 24, -24, -4],\n [-10, -25, -30, 30, 5],\n [-8, -20, -24, 24, 4],\n [-4, -10, -12, 12, 2],\n [-6, -15, -18, 18, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[-8, 0, 8, -8, -2],\n [-12, 0, 12, -12, -3],\n [-16, 0, 16, -16, -4],\n [4, 0, -4, 4, 1],\n [-4, 0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-30, -24, -28, 58, -8],\n [9, -14, 9, 6, 19],\n [-50, -48, -22, 76, 14],\n [10, -12, -16, 34, -4],\n [22, 24, 24, -54, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-49, -14, 17, 4, 3],\n [25, 31, 13, -7, 13],\n [1, 20, 13, 2, 24],\n [-19, 3, -33, 13, 70],\n [24, 35, 36, -25, -24]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the rank of the matrix:\n[[-1, 6, 15, -6, 10],\n [-2, 12, -24, -12, -4],\n [12, -72, -18, 72, -48],\n [-9, 54, 9, -54, 34],\n [0, 0, -27, 0, -12]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[14, 12, 0, 18, 10],\n [16, 0, 12, 0, -4],\n [-28, -24, 0, -36, -20],\n [34, 36, -6, 54, 32],\n [-18, -28, 11, -42, -27]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[6, 2, -8, 5, 3],\n [36, -10, -15, -14, -48],\n [30, 2, -28, 9, -9],\n [-36, -2, 33, -10, 12],\n [-30, -6, 34, -17, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[12, 8, 0, 6, -6],\n [30, 20, 0, 15, -15],\n [-12, -8, 0, -6, 6],\n [-12, -8, 0, -6, 6],\n [-36, -24, 0, -18, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[5, 10, 5, 0, 5],\n [-1, -2, -1, 0, -1],\n [0, 0, 0, 0, 0],\n [5, 10, 5, 0, 5],\n [-6, -12, -6, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-23, 11, -7, -12, 42],\n [6, -15, 12, 0, -18],\n [27, -21, 15, 12, -54],\n [18, 48, -42, 24, 0],\n [25, -16, 11, 12, -48]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-26, -57, 5, 47, -106],\n [8, 13, -15, -11, 52],\n [-9, 9, 2, -3, 27],\n [-22, 22, 26, -4, 1],\n [-18, 45, 37, -20, 18]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Compute the rank of the given 5x5 matrix:\n[[-2, 5, 8, 21, 1],\n [8, -6, 12, 5, 62],\n [5, -19, 26, 4, 27],\n [-58, 42, 39, -10, 10],\n [-34, 52, -2, -12, 72]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-10, 20, -5, 6, 23],\n [8, -5, 4, 15, 8],\n [-30, 25, -15, -45, -15],\n [18, -15, 9, 27, 9],\n [0, -15, 0, -27, -36]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Determine the rank of the following matrix:\n[[1, 5, 1, -6, -4],\n [-1, -5, -1, 6, 4],\n [6, 30, 6, -36, -24],\n [-4, -20, -4, 24, 16],\n [0, 0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-4, -14, 32, 18, 36],\n [-8, -4, 32, 12, 24],\n [-4, 22, -16, -18, -36],\n [15, -24, -18, 9, 18],\n [8, -2, -24, -6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[-24, 25, 10, -18, 46],\n [6, -12, 38, 6, 6],\n [25, -24, 36, -24, -4],\n [6, -3, -2, -18, 4],\n [-4, 28, -4, -36, -28]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Calculate the rank of matrix A where A =\n[[0, 0, 0, 0, 0],\n [-8, 4, -8, 6, 6],\n [-20, 10, -20, 15, 15],\n [-12, 6, -12, 9, 9],\n [8, -4, 8, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "Find the rank of the matrix:\n[[18, 15, 6, -3, -24],\n [-11, -45, -3, -1, -3],\n [0, -7, 11, -4, 22],\n [-11, -25, -11, 3, -11],\n [-8, 5, -21, 8, -26]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
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