id stringlengths 43 43 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_multiplication_train_0100 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -5, -2, -5],\n [5, 2, 1, -3],\n [-1, 5, 8, 0],\n [4, -3, 8, 5],\n [-7, -1, 7, -7]]\nB =\n[[-1, -8, -4],\n [-2, 7, -3],\n [5, 8, 2],\n [-7, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{You... | 311 | math |
arithmetic_matrix_multiplication_train_0101 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 7, 7, -6],\n [0, 3, -4, -8],\n [3, -8, 3, -3],\n [-8, -6, 5, -4]]\nB =\n[[-1, -1, -5, -4],\n [-6, -8, -5, -5],\n [6, 7, -7, -5],\n [2, -2, -5, -5]]\n\nPresent the answer in LaTex format: \\b... | 21 | math |
arithmetic_matrix_multiplication_train_0102 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 7, 1, -2],\n [1, -7, 5, 3],\n [-4, 1, 8, -4],\n [8, 5, 7, 3],\n [3, -4, -5, -3]]\nB =\n[[7, 1, 7, 1, 7],\n [-3, 0, -6, 7, -3],\n [-6, 8, 0, -6, 6],\n [8, 7, -8, -2, -4]]\n\nPresent the an... | 111 | math |
arithmetic_matrix_multiplication_train_0103 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, 2],\n [2, 2, 2],\n [-6, 0, -5]]\nB =\n[[-7, -1, -8, -5, -6],\n [0, -2, -6, -6, -4],\n [-2, 1, 6, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 258 | math |
arithmetic_matrix_multiplication_train_0104 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, 8],\n [0, 1, -6],\n [1, 4, 7],\n [-1, 8, 3],\n [-8, -5, -5]]\nB =\n[[7, 8, -3],\n [-5, 3, -6],\n [4, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -210 | math |
arithmetic_matrix_multiplication_train_0105 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[2, -6, 7],\n [5, -8, -8],\n [1, -5, 8],\n [-7, 7, -5],\n [7, 5, -1]]\nB =\n[[0, 1, 6, -7],\n [-7, 4, 8, 2],\n [-5, 6, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -30 | math |
arithmetic_matrix_multiplication_train_0106 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 5, -6, -1],\n [7, 6, 3, 7, -6],\n [-2, 6, 5, -3, -2]]\nB =\n[[7, 1, 0],\n [3, -1, -4],\n [3, 7, -7],\n [-1, -2, 8],\n [5, 2, -7]]\n\nPresent the answer in LaTex for... | 335 | math |
arithmetic_matrix_multiplication_train_0107 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -3, 2],\n [8, 0, 7],\n [-4, -8, 1],\n [-4, -6, 7],\n [-5, -6, 6]]\nB =\n[[-7, 4, -7, -8],\n [-8, 8, -3, 0],\n [-7, 3, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 999 | math |
arithmetic_matrix_multiplication_train_0108 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, -2, -5, 5],\n [-5, 6, -3, 1, 8],\n [6, 7, 4, -4, 3]]\nB =\n[[-8, 1, -6],\n [3, -3, 4],\n [3, 4, 1],\n [2, 0, 7],\n [8, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{... | 305 | math |
arithmetic_matrix_multiplication_train_0109 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[5, -2, 4, 1, 0],\n [-3, 8, -3, 6, 8],\n [-1, -7, 0, 0, -7],\n [4, -4, -3, 6, -6]]\nB =\n[[-2, -3, 6, 0],\n [-8, -2, 2, -6],\n [3, 2, 4, -3],\n [7, 2, -5, 0],\n [-7, -3, -1, -3]]\n\nPres... | 51 | math |
arithmetic_matrix_multiplication_train_0110 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 6, 3, 8, 2],\n [-3, -4, -2, 5, -1],\n [-8, -6, -3, 7, -8],\n [4, -2, 4, -3, 6]]\nB =\n[[7, -1, -6, 2],\n [4, -7, 6, -7],\n [1, -8, 5, 6],\n [6, 0, 2, 3],\n [-1, 1, 0, -7]]\n\nPresent... | 111 | math |
arithmetic_matrix_multiplication_train_0111 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, 1],\n [-5, -4, -3],\n [7, 2, 5],\n [4, -5, -7],\n [2, 4, 7]]\nB =\n[[-1, -8, -4, 2],\n [5, 2, 3, 6],\n [7, 3, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -234 | math |
arithmetic_matrix_multiplication_train_0112 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-3, -7, 2],\n [6, 8, -2],\n [0, 5, -6],\n [2, 1, -3],\n [8, 1, -3]]\nB =\n[[-5, 5, 6],\n [0, 7, 5],\n [-1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 86 | math |
arithmetic_matrix_multiplication_train_0113 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -3, -6],\n [-3, -6, 2],\n [5, -4, -4],\n [-7, 1, -6]]\nB =\n[[0, -7, -5, -3],\n [-8, 3, 1, -2],\n [-7, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 519 | math |
arithmetic_matrix_multiplication_train_0114 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, -2, -2],\n [6, -2, 6, -2],\n [1, 5, -1, -5],\n [2, 7, 8, 4]]\nB =\n[[8, -5, 2, 8, 5],\n [3, 5, 5, -3, 0],\n [6, 7, 6, -5, -6],\n [4, 0, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{... | 299 | math |
arithmetic_matrix_multiplication_train_0115 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, -6, -6, -1, -7],\n [-1, -2, 7, -1, 2],\n [-8, -5, 1, 0, -4]]\nB =\n[[3, 3, 2],\n [2, 1, 3],\n [-3, 8, -3],\n [-3, 4, -2],\n [4, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your... | -37 | math |
arithmetic_matrix_multiplication_train_0116 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 2, 6, 2],\n [2, -6, -7, 8, -8],\n [7, -6, 6, 3, 2],\n [0, 1, -5, -1, 8]]\nB =\n[[6, 6, 0, 6],\n [8, 1, -6, 3],\n [-2, -4, -1, 4],\n [8, -4, 7, 5],\n [-8, 2, 2, -4]]\n\nPresent the answe... | -14 | math |
arithmetic_matrix_multiplication_train_0117 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 4, 5, 6, -4],\n [3, 0, 2, -1, -1],\n [3, -5, -3, 8, -5],\n [8, -5, 2, 3, -4]]\nB =\n[[-5, 8, 5, 4],\n [2, 4, 5, 1],\n [5, -3, 3, 5],\n [-4, -4, 1, 7],\n [4, 5, -4, -8]]\n\nPrese... | 734 | math |
arithmetic_matrix_multiplication_train_0118 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 8, 5, -4],\n [-7, 8, 5, 8],\n [0, 5, -6, -1],\n [-2, 1, 0, -7],\n [5, -8, 0, -2]]\nB =\n[[3, -6, -1, -3, -1],\n [1, -4, 7, 0, -8],\n [3, 1, 7, 4, 3],\n [0, -4, -4, -8, 2]]\n\nPr... | 778 | math |
arithmetic_matrix_multiplication_train_0119 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -4, 7],\n [-7, 3, 2],\n [8, 0, 0]]\nB =\n[[6, 6, -3, 7],\n [6, -5, 7, 8],\n [-6, -5, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -134 | math |
arithmetic_matrix_multiplication_train_0120 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, -3],\n [-7, -5, -4],\n [5, 0, 0],\n [3, -1, 3]]\nB =\n[[3, 4, -1, 1, 3],\n [1, 5, 8, 4, -4],\n [5, -3, 6, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -234 | math |
arithmetic_matrix_multiplication_train_0121 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 7, 2, -2, -5],\n [-1, -7, 0, -1, -1],\n [0, 6, -8, -8, 2],\n [8, 3, -2, -1, 7],\n [-3, 7, -3, -8, -3]]\nB =\n[[-8, -3, 3, 4],\n [-3, -8, -6, -4],\n [1, 2, 8, 7],\n [0, -1, 5, -7],\n [3, -3, -3, -6]]\n\nP... | -470 | math |
arithmetic_matrix_multiplication_train_0122 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -5, -6],\n [-4, -2, -8],\n [7, -8, 0],\n [-4, 1, -7]]\nB =\n[[-5, 4, -2],\n [0, 6, 5],\n [-8, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 293 | math |
arithmetic_matrix_multiplication_train_0123 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 8],\n [8, -5, 3],\n [-8, -5, 8]]\nB =\n[[3, -3, -7, 4],\n [-6, -2, 4, -1],\n [-5, 8, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 116 | math |
arithmetic_matrix_multiplication_train_0124 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, 5],\n [-4, 6, 0],\n [6, 3, -1],\n [3, -7, -2]]\nB =\n[[-8, -3, 5],\n [5, 3, -7],\n [4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_multiplication_train_0125 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -1, 5],\n [4, -7, 0],\n [8, 1, 0]]\nB =\n[[-7, -4, -2],\n [5, 1, -6],\n [-5, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 363 | math |
arithmetic_matrix_multiplication_train_0126 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 1, 5],\n [3, -6, 3],\n [-3, 0, -3],\n [8, -4, -5]]\nB =\n[[1, 5, 7],\n [7, 1, 4],\n [5, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 61 | math |
arithmetic_matrix_multiplication_train_0127 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, -7, -5, 7],\n [-2, -4, -5, 2, -5],\n [-7, -6, -3, -7, 5]]\nB =\n[[-8, -7, 2, 6],\n [-1, -1, -4, 3],\n [1, 6, 0, 0],\n [6, 8, 2, -1],\n [8, 1, 0, -7]]\n\nPresent the answer in LaTex format: \\bo... | -143 | math |
arithmetic_matrix_multiplication_train_0128 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 5, -6, 5, -7],\n [8, 1, -8, 2, -8],\n [5, -2, 7, 1, -2],\n [2, -7, 7, -6, -7]]\nB =\n[[-3, -8, 5, 3, 6],\n [5, 0, 0, -2, -2],\n [-8, -6, -3, 4, 8],\n [1, 4, 4, -8, -1],\n [-1, 4, -4, -7, -1]]\n\nPr... | 261 | math |
arithmetic_matrix_multiplication_train_0129 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, -7],\n [1, -1, 3],\n [-4, -4, 8],\n [0, -8, 6]]\nB =\n[[5, -2, -6],\n [-6, -3, 2],\n [-3, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -1 | math |
arithmetic_matrix_multiplication_train_0130 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-5, 2, -2],\n [3, 6, -2],\n [-7, -1, 4],\n [0, 7, -4]]\nB =\n[[-4, -2, -1],\n [-6, 8, 6],\n [2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 45 | math |
arithmetic_matrix_multiplication_train_0131 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, 7, -8, 1],\n [1, 0, -6, 2, -2],\n [0, -2, -7, -7, -1],\n [1, -1, -3, -4, 7]]\nB =\n[[8, 7, -6, 2, -6],\n [-7, 7, -3, -3, 8],\n [-8, 0, -3, -4, 8],\n [0, -1, -8, 2, 3],\n [-4, 1, -7, -7, -2]]\n\n... | 61 | math |
arithmetic_matrix_multiplication_train_0132 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -8, 2, -3],\n [5, -6, 8, -3],\n [6, -3, 8, -2],\n [-3, -3, 5, 4]]\nB =\n[[-3, 6, 4, -8, 2],\n [-6, -1, 2, -2, 4],\n [3, -3, -5, 3, 4],\n [7, -4, 6, -5, 1]]\n\nPresent t... | 572 | math |
arithmetic_matrix_multiplication_train_0133 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -2, -1],\n [1, 6, 6],\n [4, -2, -4]]\nB =\n[[4, -3, 2, 8, 2],\n [7, 1, 8, -5, -5],\n [-7, 1, 7, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -12 | math |
arithmetic_matrix_multiplication_train_0134 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-3, 3, 8],\n [-2, -3, -4],\n [8, -7, -3],\n [1, -4, -2],\n [2, -8, 5]]\nB =\n[[0, 4, 0, -7],\n [7, -2, -3, -2],\n [-8, 7, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | -12 | math |
arithmetic_matrix_multiplication_train_0135 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -2, -4, 6],\n [-1, 1, 1, -1],\n [5, 7, 5, -2]]\nB =\n[[2, 7, -6, -2],\n [-7, -8, 7, -6],\n [1, -4, -3, -4],\n [-7, 8, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your... | 313 | math |
arithmetic_matrix_multiplication_train_0136 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-8, -2, -1, 3, -4],\n [-5, -5, 4, -1, -8],\n [3, -8, -6, 4, -5],\n [7, -5, -1, 8, -2]]\nB =\n[[5, 1, -4, 8, -2],\n [-2, 6, 0, -3, -5],\n [6, -8, 7, 2, -7],\n [-2, 2, 2, 5, 7],\n [-5, -3... | 26 | math |
arithmetic_matrix_multiplication_train_0137 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, 8],\n [-7, 0, -2],\n [-8, 1, 8],\n [-8, -3, 8]]\nB =\n[[0, 2, 4, 8, 8],\n [1, 4, 5, -6, -7],\n [-7, -5, 8, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -592 | math |
arithmetic_matrix_multiplication_train_0138 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 8, 3],\n [-5, 4, 2],\n [-7, 7, 7]]\nB =\n[[5, -2, 0],\n [3, 3, -3],\n [-7, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -87 | math |
arithmetic_matrix_multiplication_train_0139 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 3, -7],\n [8, 8, 4],\n [-1, 1, 3]]\nB =\n[[5, -1, 4],\n [-5, -2, -7],\n [-4, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 240 | math |
arithmetic_matrix_multiplication_train_0140 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-5, 7, -1, -2],\n [0, -1, -7, 1],\n [-8, -7, 8, 0]]\nB =\n[[0, -3, -6],\n [-1, -8, -8],\n [-7, 3, 1],\n [2, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 52 | math |
arithmetic_matrix_multiplication_train_0141 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -6, 0],\n [6, -8, 3, -5],\n [-5, 1, -4, -1],\n [2, 0, -4, 4]]\nB =\n[[-6, -5, -7],\n [6, 7, 1],\n [3, -4, -3],\n [-2, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | -52 | math |
arithmetic_matrix_multiplication_train_0142 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -3, 0, -8],\n [-4, 3, -2, 3, 8],\n [3, -2, -1, -8, 5],\n [5, -8, 7, 5, 7]]\nB =\n[[-4, -2, -5, 3],\n [8, -7, -5, -1],\n [1, -4, -3, 1],\n [-8, 8, -5, 7],\n [3, 1, 5, 2]]\n\nPresent the ... | -47 | math |
arithmetic_matrix_multiplication_train_0143 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 8, 3, 5, 2],\n [5, -8, 4, -4, 7],\n [0, 5, 5, -2, 5],\n [4, 5, 4, 5, 6],\n [-1, 8, -3, 6, -1]]\nB =\n[[-8, -1, 5, -1],\n [6, -3, 5, -7],\n [-6, 5, 7, 5],\n [0, 6, 1, -8],\n [3, 7, -3, ... | 1040 | math |
arithmetic_matrix_multiplication_train_0144 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 7, -5, 8, 3],\n [7, -6, 1, 2, -1],\n [5, -2, 5, -8, 4],\n [-7, 1, -7, 3, -2],\n [-7, -3, 7, 3, 2]]\nB =\n[[-5, -3, -7, 6],\n [1, 0, 1, 4],\n [-5, -4, -5, 1],\n [1, 3, 4, -7],\n [-1, -6... | 1114 | math |
arithmetic_matrix_multiplication_train_0145 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, 0, -4, -5, -4],\n [5, -3, 4, 0, -4],\n [-2, 0, -7, -6, -4],\n [4, 0, -7, -2, 7]]\nB =\n[[-4, 6, -5, -7, 6],\n [-6, -4, -6, 3, -7],\n [4, -1, 7, 4, 6],\n [8, -4, 1, -8, 0],\n [-8, 8, 3, -4, ... | -116 | math |
arithmetic_matrix_multiplication_train_0146 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, 0, -8],\n [1, -8, -2],\n [-2, -8, -2],\n [6, 0, -4]]\nB =\n[[-7, 8, -5, -5],\n [7, 3, -7, -7],\n [-1, 2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -58 | math |
arithmetic_matrix_multiplication_train_0147 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 8, -8, -8],\n [7, -1, 0, -3],\n [3, -6, -6, 3],\n [-4, -5, -2, 5],\n [-2, 6, -3, -4]]\nB =\n[[8, -6, -7, 3, -8],\n [-1, 4, 5, 7, 2],\n [0, -2, -6, 3, 8],\n [8, 3, -2, 3, -4]]... | -166 | math |
arithmetic_matrix_multiplication_train_0148 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -4, 4, 6],\n [2, -8, -6, -3],\n [8, -8, 6, -3],\n [4, -1, -2, 0]]\nB =\n[[-1, 0, 8, 4],\n [1, -8, -7, 0],\n [-3, -2, 0, 1],\n [-8, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 374 | math |
arithmetic_matrix_multiplication_train_0149 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-8, -2, -3],\n [8, -2, -5],\n [4, 6, 7],\n [4, 3, 8]]\nB =\n[[-2, 2, 2, -1],\n [-8, 6, -8, -7],\n [6, 6, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -95 | math |
arithmetic_matrix_multiplication_train_0150 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -4, -3, -6],\n [-2, 0, -6, 5],\n [-7, 2, -3, -6],\n [0, -3, 2, 2]]\nB =\n[[-4, 2, 6],\n [3, 5, 4],\n [2, -8, 7],\n [6, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -211 | math |
arithmetic_matrix_multiplication_train_0151 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -1, -7],\n [2, -8, 5],\n [4, -2, -2],\n [-4, -8, 0],\n [-5, 7, 4]]\nB =\n[[3, 8, -1, 6, 2],\n [-3, -4, 8, 4, -1],\n [3, -5, -3, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed... | -83 | math |
arithmetic_matrix_multiplication_train_0152 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 6, 2],\n [5, -5, -3, 4],\n [-6, 6, -2, 8],\n [-8, 1, 7, -4]]\nB =\n[[6, 1, 5, 3],\n [1, -7, -5, -8],\n [-1, -6, -7, 5],\n [7, -2, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Y... | -49 | math |
arithmetic_matrix_multiplication_train_0153 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -6, 4, 1, 3],\n [7, -4, 2, 2, 4],\n [0, -1, 3, 5, -1],\n [0, -2, 3, -8, -3]]\nB =\n[[-2, 1, -1],\n [-4, 0, -7],\n [-2, 3, -4],\n [5, -8, -2],\n [4, -2, 4]]\n\nPresent the answ... | 361 | math |
arithmetic_matrix_multiplication_train_0154 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 0],\n [-4, 7, -5],\n [6, 4, 3]]\nB =\n[[-4, 8, -7],\n [5, -6, -3],\n [1, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -99 | math |
arithmetic_matrix_multiplication_train_0155 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 8, 6, 4],\n [3, 4, 5, -5],\n [1, -4, -4, 8],\n [-5, 6, 3, -6]]\nB =\n[[-2, -1, -5, 2],\n [-3, -6, -5, -3],\n [-2, -3, 0, 1],\n [4, 3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed... | -58 | math |
arithmetic_matrix_multiplication_train_0156 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 0, 0, 4, 5],\n [0, -1, 4, 2, -2],\n [2, -8, -6, -7, -6]]\nB =\n[[7, 6, -1],\n [7, -2, -2],\n [-4, 1, 4],\n [1, -5, -3],\n [-3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{... | -3 | math |
arithmetic_matrix_multiplication_train_0157 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -5, 3, -8],\n [-2, 2, 2, 2, -4],\n [0, 3, 8, -5, 4],\n [-1, -6, 3, 4, -5],\n [-8, 1, 0, 5, 8]]\nB =\n[[1, 1, -1, 0],\n [4, -6, -3, -5],\n [6, -3, 3, -6],\n [0, 2, -7, 1],\n [-8, 2, 8, 1]]\n\nP... | -109 | math |
arithmetic_matrix_multiplication_train_0158 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 4, -1, 4, -4],\n [-4, 6, 0, -8, -3],\n [-7, 5, -5, 3, -6],\n [-7, 7, -1, 5, -3],\n [3, 8, 0, -8, 3]]\nB =\n[[6, 1, -2, 2],\n [5, 7, 1, -7],\n [4, 6, -8, -1],\n [-2, 2, -4, -7],\n [3, 7, -3, -4]]\n\nPresen... | 94 | math |
arithmetic_matrix_multiplication_train_0159 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, 7, 4, 0],\n [-3, 1, -5, -8, 8],\n [-7, -6, 1, 4, -7],\n [-1, -3, 3, 2, 6]]\nB =\n[[8, 6, -2, 7, 0],\n [-2, 4, -7, 7, -7],\n [-5, 8, 0, -4, -1],\n [1, 2, -8, 1, -4],\n [-1, ... | 664 | math |
arithmetic_matrix_multiplication_train_0160 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -1],\n [3, 0, 7],\n [-5, -5, 8],\n [-4, 7, 3]]\nB =\n[[7, -8, -8],\n [-6, 6, 2],\n [0, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 418 | math |
arithmetic_matrix_multiplication_train_0161 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -3, 2, -8],\n [-4, 5, -3, 2],\n [4, -6, 7, 4],\n [-2, 5, -7, 4]]\nB =\n[[7, -3, -2],\n [-6, -5, 1],\n [-7, -7, 5],\n [0, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -13 | math |
arithmetic_matrix_multiplication_train_0162 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, 7, -4, 7],\n [6, -6, 2, -6, 0],\n [-2, 8, -5, -5, 8],\n [0, 6, 0, -5, -7],\n [-7, -1, -6, 3, 2]]\nB =\n[[4, -1, -1, -1],\n [8, 4, -4, 7],\n [1, 6, -1, -8],\n [4, -4, -2, 8],\n [1, -3, -3, -5]]\n\nPre... | -193 | math |
arithmetic_matrix_multiplication_train_0163 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -7, 3, 7],\n [1, 2, 7, -4],\n [5, 2, 4, 0]]\nB =\n[[-3, 2, -7, -5],\n [7, -3, -3, -1],\n [-8, 0, -2, 3],\n [-8, 5, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -183 | math |
arithmetic_matrix_multiplication_train_0164 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -6, 5, 2],\n [6, 0, -2, 3],\n [1, -1, 3, -8],\n [-8, 1, -6, 0],\n [6, 0, -3, 4]]\nB =\n[[2, -2, -5, -3],\n [5, 2, 5, 7],\n [-1, -7, -1, 5],\n [-4, -5, 1, -2]]\n\nPresent the answer in LaTex format: \\box... | -104 | math |
arithmetic_matrix_multiplication_train_0165 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 3, -5, -1],\n [1, 2, 6, 7],\n [0, -3, -2, -7],\n [-6, 5, -2, -7]]\nB =\n[[-2, -4, 3, 0, -1],\n [0, -4, -3, -4, 1],\n [4, 6, -3, 3, 5],\n [1, 0, 5, -3, -3]]\n\nPresent the answer in LaTex format: \\... | -107 | math |
arithmetic_matrix_multiplication_train_0166 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, -5, -8, -8],\n [2, 7, -7, -6, -3],\n [1, -8, 4, 3, -2]]\nB =\n[[-8, 4, 0, -7, -3],\n [6, 5, 2, 6, 7],\n [-5, 4, -7, 1, 6],\n [-8, 4, -7, 3, 6],\n [3, -5, -4, 8, 3]]\n\nPresent the answer in LaTe... | 91 | math |
arithmetic_matrix_multiplication_train_0167 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -4, 4, -2, 0],\n [-5, -3, 8, -3, 7],\n [0, -2, 6, 6, -5],\n [2, 1, -4, 8, -4]]\nB =\n[[-3, 6, 7],\n [2, 6, 0],\n [-1, 0, 8],\n [3, -8, 8],\n [-6, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{You... | 101 | math |
arithmetic_matrix_multiplication_train_0168 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, -1, -2, 4],\n [-8, 0, -2, 0, 3],\n [-2, -2, -5, -5, 4]]\nB =\n[[8, -3, 8],\n [7, -2, -6],\n [5, 0, -7],\n [8, 8, -5],\n [-2, 5, -3]]\n\nPresent the answer in LaTex format: \\bo... | -42 | math |
arithmetic_matrix_multiplication_train_0169 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-3, 8, -7, 1],\n [1, -8, -3, 2],\n [-8, 4, 1, 8]]\nB =\n[[2, 0, 1, -6],\n [-6, -8, -6, -7],\n [8, 0, 0, 4],\n [-3, -1, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 24 | math |
arithmetic_matrix_multiplication_train_0170 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 4, 7],\n [-4, 5, -5, 7],\n [7, 3, 0, -4],\n [2, -2, 3, 8]]\nB =\n[[3, -5, -5, 0],\n [-2, -5, -6, 8],\n [-7, 4, 4, 0],\n [8, 4, -1, -5]]\n\nPresent the answer in LaTex format: \\b... | -83 | math |
arithmetic_matrix_multiplication_train_0171 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 7, -5, -1],\n [0, -3, -7, -3],\n [8, 0, 4, -8]]\nB =\n[[8, 5, 6, -1],\n [-7, 0, 0, 6],\n [8, 2, -8, -5],\n [-7, -6, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{You... | 612 | math |
arithmetic_matrix_multiplication_train_0172 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, 2, 2],\n [1, -4, 2, 3],\n [4, -4, -4, -8],\n [-2, -4, -1, -2],\n [7, 0, 7, -5]]\nB =\n[[-6, -8, 0],\n [-4, 2, -8],\n [2, 4, -3],\n [-5, 2, 4]]\n\nPresent the answer in LaTex format: \\... | 24 | math |
arithmetic_matrix_multiplication_train_0173 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 2, 4, -5],\n [4, 6, -7, -2],\n [-1, 8, 5, -6]]\nB =\n[[3, -8, -8],\n [1, 4, -1],\n [7, 1, -4],\n [-5, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 409 | math |
arithmetic_matrix_multiplication_train_0174 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[3, 0, 8],\n [6, 0, 3],\n [4, -6, 4],\n [-7, -7, 5]]\nB =\n[[-1, 4, 4],\n [7, -7, -3],\n [-2, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -54 | math |
arithmetic_matrix_multiplication_train_0175 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -4, -2],\n [5, -1, -4],\n [8, -5, -6],\n [7, -3, -2],\n [2, -7, 1]]\nB =\n[[7, -6, -3, 3],\n [6, -3, -2, -4],\n [-1, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 96 | math |
arithmetic_matrix_multiplication_train_0176 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -2, -2, -6, 5],\n [-2, -6, -5, 5, 8],\n [-7, -3, 6, 7, -7]]\nB =\n[[8, 2, -2],\n [8, 4, -8],\n [-7, 4, 1],\n [0, -4, -2],\n [-1, -5, 6]]\n\nPresent the answer in LaTex forma... | -175 | math |
arithmetic_matrix_multiplication_train_0177 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 6, 5, -8],\n [-6, -5, -5, 4, -8],\n [1, 4, 6, -2, 6],\n [4, 2, -7, -1, 1],\n [5, 1, 2, 4, -5]]\nB =\n[[3, 6, 3, 2],\n [-6, -5, -7, 6],\n [-3, 6, 6, 5],\n [0, -3, 8, -... | 1136 | math |
arithmetic_matrix_multiplication_train_0178 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -8, 0, 1],\n [2, 7, -1, 7],\n [8, -3, -2, -7],\n [-7, -3, -3, 1]]\nB =\n[[1, 1, -2, 2],\n [5, 6, -5, 5],\n [8, 5, 4, -6],\n [-5, -5, 8, 8]]\n\nPresent the answer in LaTex format:... | 525 | math |
arithmetic_matrix_multiplication_train_0179 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -6, 1, 0, -5],\n [-7, -8, 5, 1, 6],\n [-4, -7, -7, -2, -7]]\nB =\n[[-8, 3, 2, -6],\n [1, 4, -5, 8],\n [-3, 2, 1, 5],\n [-3, 6, 5, 6],\n [2, -5, -5, -5]]\n\nPresent the a... | 447 | math |
arithmetic_matrix_multiplication_train_0180 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-2, -6, -7, 1],\n [3, -4, -4, 2],\n [8, -7, 5, 5],\n [6, 4, -1, 5],\n [-3, 6, -7, 1]]\nB =\n[[6, -1, 1, 5, 1],\n [7, 7, 1, -2, -1],\n [-8, -8, 5, -5, 1],\n [-1, 1, -7, 0, -5]]\n\nPresent the ans... | 8 | math |
arithmetic_matrix_multiplication_train_0181 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[8, -3, -2, -6],\n [-7, 2, 6, -8],\n [1, 3, -2, -2],\n [-3, 0, 3, 0]]\nB =\n[[-1, 5, -5, 8],\n [7, -3, 5, -2],\n [6, 7, 1, -6],\n [-6, -8, 0, 3]]\n\nPresent the answer in LaTex format: \... | -5 | math |
arithmetic_matrix_multiplication_train_0182 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -6, -7, 1, 4],\n [8, -8, 4, 1, -2],\n [-7, -1, 2, -1, 5],\n [-5, -5, -6, 8, -5],\n [-4, -2, 0, -4, -1]]\nB =\n[[-3, -8, 4],\n [6, -5, 3],\n [-6, -7, 7],\n [0, 1, -3],\n [4, 0, -4]]\n\nPresent the... | -35 | math |
arithmetic_matrix_multiplication_train_0183 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-2, -8, -6, -6, -2],\n [-2, 8, -6, -7, -1],\n [-3, 5, 6, 4, -3],\n [-7, -6, 6, 8, 0]]\nB =\n[[0, -2, 4, -6],\n [1, -1, -5, -3],\n [5, -8, 2, -4],\n [5, 2, 7, 0],\n [-3, 1, 1, -8]]\n\nPresent the... | -54 | math |
arithmetic_matrix_multiplication_train_0184 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 1, -6, 0],\n [-6, 6, -5, 2, 7],\n [7, 0, 8, 4, 8],\n [-6, 2, 2, 1, -1],\n [7, -5, -1, 0, 6]]\nB =\n[[-5, -7, -4, 8],\n [2, 3, -2, 6],\n [-3, -5, -3, 3],\n [7, -3, 0, 4],\n [5, -8, -1, ... | 13 | math |
arithmetic_matrix_multiplication_train_0185 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, 6],\n [2, -6, 8],\n [-3, -1, -5]]\nB =\n[[-5, 7, -6, -7, -2],\n [0, 2, -3, 5, 2],\n [-1, 8, -8, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 95 | math |
arithmetic_matrix_multiplication_train_0186 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, -2, 6, 1],\n [-3, 6, 1, -3, 8],\n [-8, 5, -8, 5, 3],\n [-1, -3, -7, 7, -2]]\nB =\n[[-5, 5, 6],\n [5, -6, -5],\n [-5, 3, 0],\n [7, -5, -2],\n [-8, -1, -6]]\n\nPresent... | 912 | math |
arithmetic_matrix_multiplication_train_0187 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, -1, -1],\n [-2, 3, -4, 6],\n [-3, 2, -8, -5],\n [-3, 3, 7, -8],\n [0, 0, 7, 2]]\nB =\n[[-5, 0, 2, -1],\n [4, -3, 1, 3],\n [4, 6, -8, 6],\n [8, -4, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{... | -18 | math |
arithmetic_matrix_multiplication_train_0188 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -6, -5],\n [2, 7, -5],\n [-2, 3, 5],\n [-4, -6, 6],\n [-1, -6, -8]]\nB =\n[[-7, 3, 8, 5, 7],\n [-2, 2, -6, 5, 4],\n [0, 1, -5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | -3 | math |
arithmetic_matrix_multiplication_train_0189 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[0, 4, 4],\n [2, -2, 1],\n [7, 1, 6],\n [-4, 3, 2],\n [-1, -7, -7]]\nB =\n[[2, -8, 4, 8],\n [-6, 6, -7, -5],\n [0, -1, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -52 | math |
arithmetic_matrix_multiplication_train_0190 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 6, -3],\n [-7, 1, -7],\n [-5, 7, 1],\n [-3, -5, -7]]\nB =\n[[-6, -1, -4, 4],\n [-4, 8, -4, 8],\n [2, -3, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -70 | math |
arithmetic_matrix_multiplication_train_0191 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -1, 0],\n [1, 0, 4],\n [-4, -8, 3],\n [-7, 1, 1]]\nB =\n[[-4, 7, 1, 1, -7],\n [-5, 6, 8, -1, 8],\n [5, -1, -8, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 564 | math |
arithmetic_matrix_multiplication_train_0192 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, 0, 7],\n [0, 8, -8, 0],\n [-8, -1, 5, 5],\n [-3, 2, -3, 6],\n [8, 2, 7, 4]]\nB =\n[[0, -2, 8],\n [-8, -4, -8],\n [7, -6, 3],\n [4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 8 | math |
arithmetic_matrix_multiplication_train_0193 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 8, -6, -7],\n [-4, 3, -4, 8],\n [4, 3, -2, -7],\n [-3, 0, 0, 7]]\nB =\n[[6, -5, 0],\n [-7, -1, -3],\n [4, 5, -1],\n [4, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -248 | math |
arithmetic_matrix_multiplication_train_0194 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, 0, -1],\n [2, 0, 1, 5],\n [4, -7, 1, 6],\n [8, -5, 7, -1],\n [7, -5, 7, -4]]\nB =\n[[-4, 6, -1, 4],\n [1, 7, 4, -2],\n [7, -3, 6, -4],\n [-2, -4, -3, 0]]\n\nPresent the answer in LaTex ... | 36 | math |
arithmetic_matrix_multiplication_train_0195 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[0, 8, 2],\n [5, -3, 6],\n [7, -1, 7],\n [-4, -3, 6],\n [1, 8, -1]]\nB =\n[[4, 2, -4, -7, 1],\n [7, -2, 4, -3, 5],\n [-6, 5, 8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{You... | -14 | math |
arithmetic_matrix_multiplication_train_0196 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -2, 0, 2],\n [0, -3, 8, 4],\n [-8, -8, -2, -5],\n [-2, 3, 8, -6],\n [7, 1, -4, 6]]\nB =\n[[-8, -7, 2],\n [7, -6, 8],\n [5, -1, -5],\n [0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | -150 | math |
arithmetic_matrix_multiplication_train_0197 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-1, -2, -6, 5, 1],\n [0, 7, -3, 6, 3],\n [-7, 1, -7, -4, -4]]\nB =\n[[-8, -1, -7, -7],\n [4, 5, 1, -4],\n [-4, 1, -1, -3],\n [-6, 1, 4, -7],\n [-2, 5, 2, 5]]\n\nPresent the answer in LaTex forma... | 120 | math |
arithmetic_matrix_multiplication_train_0198 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-2, -1, -6, 2],\n [-6, -8, 8, -2],\n [8, -6, 8, -3]]\nB =\n[[-1, -4, -5, -7],\n [0, 6, -4, 4],\n [-8, -3, -6, 5],\n [5, -8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -55 | math |
arithmetic_matrix_multiplication_train_0199 | arithmetic_matrix_multiplication | null | [
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-4, -3, -6, 5, 4],\n [-5, -5, 1, -7, 8],\n [5, -5, 3, 8, 7],\n [7, 1, 7, 6, -4],\n [2, 8, 0, 0, 8]]\nB =\n[[6, 6, -3],\n [-5, 2, 4],\n [-7, 7, 1],\n [4, -7, 0],\n [-8, -3, -3]]\n\nPrese... | -104 | math |
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