Dataset Viewer
id
stringlengths 26
43
| setting_key
stringclasses 14
values | setting_name
stringclasses 1
value | messages
listlengths 1
1
| ground_truth
stringclasses 99
values | dataset
stringclasses 1
value |
|---|---|---|---|---|---|
comp_matrix_rank_train_0054
|
comp_matrix_rank
|
Arithmetic (Matrix Rank) + Combinatorics (Probability)
|
[
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-8, -8, 8, 2],\n [2, -2, -12, 7],\n [-4, -14, -12, 20],\n [-26, -22, 0, -2]]"
}
] |
3
|
math
|
comp_matrix_rank_train_0287
|
comp_matrix_rank
|
Arithmetic (Matrix Rank) + Combinatorics (Probability)
|
[
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-6, -4, 10, 11],\n [-1, 4, -2, 6],\n [4, 12, -2, -5],\n [-8, -8, 8, 16]]"
}
] |
3
|
math
|
trans_matrix_rank_train_0054
|
trans_matrix_rank
| null |
[
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-8, -8, 8, 2],\n [2, -2, -12, 7],\n [-4, -14, -12, 20],\n [-26, -22, 0, -2]]"
}
] |
3
|
math
|
trans_matrix_rank_train_0287
|
trans_matrix_rank
| null |
[
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-6, -4, 10, 11],\n [-1, 4, -2, 6],\n [4, 12, -2, -5],\n [-8, -8, 8, 16]]"
}
] |
3
|
math
|
trans_gridworld_train_0586
|
trans_gridworld
| null |
[
{
"role": "user",
"content": "In a 6x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 5), (3, 2), (5, 1), (4, 6), (3, 3)?"
}
] |
80
|
math
|
algebra_func_extrema_coords_train_0295
|
algebra_func_extrema_coords
| null |
[
{
"role": "user",
"content": "Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2(-2cos(3π(-1(-1|x + 3| + 1) + 5) - 3) - 2)^2 + 2(-2cos(3π(-1(-1|x + 3| + 1) + 5) - 3) - 2) + 5 in the interval [-10, 10]. Round to the nearest integer."
}
] |
-10
|
math
|
arithmetic_matrix_determinant_train_0017
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -8, -2],\n [-8, 8, -2],\n [-2, -2, 2]]"
}
] |
740
|
math
|
arithmetic_matrix_determinant_train_0034
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -6, 0],\n [-6, 3, -2],\n [0, -2, 3]]"
}
] |
897
|
math
|
arithmetic_matrix_determinant_train_0221
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -5, -8],\n [8, -2, 2],\n [-5, 1, -7]]"
}
] |
738
|
math
|
arithmetic_matrix_eigenvalues_train_0029
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, 6, 0],\n [6, -3, -2],\n [0, -2, -5]]"
}
] |
18
|
math
|
arithmetic_matrix_eigenvalues_train_0576
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, 1, 3, -5],\n [1, 3, 6, -7],\n [3, 6, -11, 2],\n [-5, -7, 2, 10]]"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0761
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, 8, 6, 0],\n [8, 8, -2, -2],\n [6, -2, 8, 5],\n [0, -2, 5, 8]]"
}
] |
38
|
math
|
arithmetic_matrix_inverse_train_0399
|
arithmetic_matrix_inverse
| null |
[
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/60 * A where A =\n[[7, -7, 7],\n [-7, 5, -6],\n [7, -6, 10]]\nRound your answer to the nearest integer."
}
] |
-26
|
math
|
arithmetic_matrix_multiplication_train_0000
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -6, -1, -8, 7],\n [-7, 5, -6, 8, -6],\n [8, 0, -6, -4, 0]]\nB =\n[[-4, -3, 4],\n [-3, -5, -2],\n [-7, -7, -8],\n [5, -6, -7],\n [-7, -5, -7]]"
}
] |
300
|
math
|
arithmetic_matrix_multiplication_train_0017
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-6, 7, -6, 1],\n [-8, -3, -6, 6],\n [7, 5, 6, -7],\n [3, -5, -4, 5],\n [4, -8, 3, -6]]\nB =\n[[0, -8, -7],\n [6, 4, 4],\n [8, -6, 6],\n [-6, -3, 6]]"
}
] |
12
|
math
|
arithmetic_matrix_multiplication_train_0046
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 1, -4, -2],\n [4, -3, 3, 4],\n [-5, 3, 0, -8],\n [3, 0, 0, 6],\n [-3, -8, -1, -5]]\nB =\n[[-1, -6, -4, 1],\n [-5, 0, -7, -2],\n [8, 2, 0, 1],\n [2, 7, 2, 0]]"
}
] |
51
|
math
|
arithmetic_matrix_multiplication_train_0049
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, 6, -5, 4],\n [7, -4, -4, 6, -4],\n [-8, 2, 6, 6, 1],\n [4, 3, -8, 2, -8],\n [6, 3, 1, -2, -4]]\nB =\n[[0, -1, -6, 0],\n [-4, -2, -5, -3],\n [-7, 8, -8, 3],\n [-6, -4, -7, -4],\n [-7, 0, 0, -1]]"
}
] |
-126
|
math
|
arithmetic_matrix_multiplication_train_0052
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -5, 3],\n [6, -4, 1, -8],\n [-5, -4, -7, -3],\n [2, 8, -7, -1],\n [4, -3, 1, -5]]\nB =\n[[-8, 5, 0, 4, 7],\n [4, 1, 5, 6, -5],\n [1, -6, 3, 1, 4],\n [-1, 5, 4, 4, -7]]"
}
] |
-32
|
math
|
arithmetic_matrix_multiplication_train_0070
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, -2, -5, -7],\n [8, -8, -7, 7, 2],\n [-6, -3, 8, 2, 2],\n [7, -5, -3, 3, 3],\n [0, 8, -5, -7, -7]]\nB =\n[[3, -3, -6],\n [7, 7, -1],\n [8, -3, -3],\n [5, -7, 0],\n [-6, 0, -3]]"
}
] |
-99
|
math
|
arithmetic_matrix_multiplication_train_0072
|
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, -5, 6, -4],\n [8, -3, 2, -4, -7],\n [3, 8, 4, -6, -2],\n [-2, 0, -7, 0, 5],\n [-2, -3, 8, -7, -6]]\nB =\n[[6, 6, 1, -3, 5],\n [6, -8, 5, 4, -3],\n [-6, -8, 7, -8, -6],\n [-2, -4, 6, -1, -4],\n [6, 3, 1, 4, -7]]"
}
] |
-77
|
math
|
arithmetic_matrix_multiplication_train_0078
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 4, 7, 6, -5],\n [0, -6, 6, -4, -8],\n [-7, 5, 1, -7, -7],\n [7, -3, 1, -1, 2],\n [6, 5, 7, -2, 8]]\nB =\n[[-4, -7, -4, -2],\n [-8, -5, -7, -3],\n [7, 5, 7, -6],\n [5, 4, 1, -5],\n [-5, -6, -2, 5]]"
}
] |
7
|
math
|
arithmetic_matrix_multiplication_train_0099
|
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[[-1, 1, -8, 3],\n [1, 4, -4, 4],\n [3, 2, 1, 7],\n [3, -5, 6, -3]]\nB =\n[[2, 3, 2, -3, 4],\n [0, -3, 7, -2, 3],\n [0, 8, -7, 3, -3],\n [1, 3, -5, -2, -1]]"
}
] |
6
|
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]]"
}
] |
51
|
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]]"
}
] |
-14
|
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]]"
}
] |
-104
|
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]]"
}
] |
612
|
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]]"
}
] |
409
|
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]]"
}
] |
8
|
math
|
arithmetic_matrix_multiplication_train_0231
|
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[[0, 3, -7, -1],\n [-8, 6, 2, 5],\n [7, 2, -2, -3],\n [2, -1, -1, -3],\n [1, -5, 2, 4]]\nB =\n[[6, 6, 0, -6, 5],\n [6, -1, -3, -4, -8],\n [-7, 5, -4, -1, 3],\n [2, -7, -5, 2, -5]]"
}
] |
866
|
math
|
arithmetic_matrix_multiplication_train_0236
|
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, 3, -6, 1],\n [8, -7, -1, -5],\n [1, -1, -2, 3],\n [0, -6, 2, -7],\n [-7, 3, -7, 7]]\nB =\n[[-4, 6, 6, -6],\n [-4, 4, 7, 5],\n [7, -3, 4, 6],\n [-3, 1, 7, -1]]"
}
] |
-300
|
math
|
arithmetic_matrix_multiplication_train_0265
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[3, -1, 7, 1],\n [5, -3, -3, -1],\n [-1, 7, 8, -8],\n [-4, -3, 2, -6]]\nB =\n[[-6, -6, -6, -4, -7],\n [6, 8, 0, -2, 0],\n [-4, -8, -8, -1, 6],\n [3, -8, 4, 5, -3]]"
}
] |
32
|
math
|
arithmetic_matrix_multiplication_train_0299
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[4, -7, -2, 8, 7],\n [7, -2, 6, 4, -6],\n [3, -8, -5, 6, -7],\n [-4, -6, -2, 1, -2]]\nB =\n[[4, -7, 8],\n [0, 5, -2],\n [0, -6, 7],\n [5, 6, 4],\n [4, -5, -4]]"
}
] |
40
|
math
|
arithmetic_matrix_multiplication_train_0304
|
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[[-5, -8, -7, 1],\n [-8, -6, -7, -2],\n [2, -6, 7, -5]]\nB =\n[[5, -2, 5, 4, -2],\n [5, -1, -1, -6, 6],\n [-2, -2, -1, 6, 1],\n [-3, 3, 7, -2, 6]]"
}
] |
572
|
math
|
arithmetic_matrix_multiplication_train_0314
|
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, 1, 5, 2, 7],\n [-1, -8, 6, 1, -4],\n [4, -6, -3, 0, 7]]\nB =\n[[-7, 1, 8, -5, -6],\n [-2, -4, 1, 6, -3],\n [-1, 4, 0, -5, 1],\n [-8, -1, 6, -7, 6],\n [-1, 0, 5, -1, -2]]"
}
] |
-56
|
math
|
arithmetic_matrix_multiplication_train_0324
|
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, -4, 6, 8],\n [3, 1, 2, -4, -4],\n [2, 4, 1, -4, 8]]\nB =\n[[-3, -4, -7, 1, -7],\n [6, -3, -8, -4, 6],\n [-8, -4, -3, -8, -4],\n [-5, -7, -3, 3, 5],\n [-2, -8, 3, -4, -7]]"
}
] |
-287
|
math
|
arithmetic_matrix_multiplication_train_0392
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -5, 3, -2],\n [0, 4, 2, 5],\n [5, -5, 8, 0],\n [5, 8, -6, 2],\n [-5, 3, 7, 6]]\nB =\n[[7, -4, -3, 3, 5],\n [8, -8, 2, -2, -4],\n [7, 1, -1, 0, -1],\n [1, 3, -1, 1, -2]]"
}
] |
-131
|
math
|
arithmetic_matrix_multiplication_train_0394
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 1],\n [-1, -3, 6],\n [2, 0, 7],\n [-1, 2, -6]]\nB =\n[[8, -2, -3],\n [7, -3, 8],\n [7, -5, -6]]"
}
] |
-26
|
math
|
arithmetic_matrix_multiplication_train_0409
|
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, 2, 7, -4],\n [0, 10, -6, 1, 8],\n [6, -1, 6, 3, 8],\n [5, -5, -5, 2, 9],\n [5, 9, -8, -3, 1],\n [-1, 10, -2, -4, -9]]\nB =\n[[-5, -3, 3, 7, -4],\n [4, -6, 7, 0, -4],\n [10, 8, 4, -2, -6],\n [1, 5, 10, 4, 5],\n [-6, -5, 9, 10, 7]]"
}
] |
152
|
math
|
arithmetic_matrix_multiplication_train_0417
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-1, 10, 2, -9, -10, 2],\n [8, -2, 0, -2, -9, -1],\n [8, 7, 1, -1, 5, -4],\n [5, -6, 4, -9, -1, 1]]\nB =\n[[4, -6, 7, -3, -9, 5],\n [9, 10, 3, 0, 3, 0],\n [-5, -2, -3, -2, 2, 0],\n [-6, -2, -3, 4, -4, 1],\n [8, 1, 2, -1, 8, 3],\n [-2, -5, 0, -8, -1, 4]]"
}
] |
-3
|
math
|
arithmetic_matrix_multiplication_train_0436
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -5, -2, 9],\n [5, 3, -8, 8, -4],\n [4, 1, 9, 3, -9],\n [10, 6, 6, 5, -5],\n [-10, -8, 3, 3, 5],\n [-7, -6, 9, 1, 3]]\nB =\n[[-7, 9, -8, 6, 1],\n [-2, -3, 6, -3, 2],\n [9, -1, -6, 7, 0],\n [0, 9, -1, -6, 6],\n [-3, 6, -2, 9, 9]]"
}
] |
255
|
math
|
arithmetic_matrix_multiplication_train_0456
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[6, -9, 6, -5, 5, 8],\n [8, -3, 0, -8, 6, 2],\n [-4, 9, 2, -6, -8, -3],\n [4, -10, -2, 4, -5, 2],\n [6, 1, 6, -3, 1, -9],\n [8, 6, 1, 9, 4, -9]]\nB =\n[[-3, -6, -4, -6, -10],\n [-2, 6, 1, 3, -8],\n [-1, 5, 6, -5, -5],\n [1, -5, 8, -7, 5],\n [-3, 3, -8, 9, 6],\n [2, -8, -6, -9, 0]]"
}
] |
40
|
math
|
arithmetic_matrix_multiplication_train_0506
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[9, 9, 2, -7, -10, -8],\n [-9, 1, 1, -9, 5, 4],\n [-1, -6, 4, -9, -9, -7],\n [4, -8, 1, 7, -6, 9]]\nB =\n[[-8, 10, -9, 0, 6],\n [-7, -10, 4, 5, -6],\n [5, 10, 10, -4, -8],\n [-10, -3, 7, 6, -10],\n [7, 2, 2, -2, -8],\n [6, -1, -6, -3, -2]]"
}
] |
150
|
math
|
arithmetic_matrix_multiplication_train_0508
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 10, 7, 5, -1, -8],\n [9, 3, 1, 10, 6, -6],\n [-6, -4, 6, -9, 6, -6],\n [10, 0, -8, 4, -5, -3],\n [2, 10, -10, 5, -3, 1],\n [3, -4, -9, 5, 7, 6]]\nB =\n[[0, 3, -5, -9, -3],\n [8, 2, 10, -2, 3],\n [5, -6, -2, 8, -4],\n [-5, 3, -5, -7, 3],\n [4, 8, -9, -10, -4],\n [-8, -9, -6, -9, -7]]"
}
] |
274
|
math
|
arithmetic_matrix_multiplication_train_0514
|
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[[0, 7, 4, 6, -7],\n [-7, 6, 8, 0, 10],\n [-1, 4, 9, -4, 5],\n [-4, -5, 4, 7, 7],\n [-3, -1, -2, 4, 0],\n [-10, 7, -7, -4, 2]]\nB =\n[[-4, -10, -6, -4, 2],\n [9, -7, -9, -7, -4],\n [-7, 10, 3, 5, 8],\n [-10, 2, -9, -3, 9],\n [-6, 1, -10, -3, -7]]"
}
] |
1544
|
math
|
arithmetic_matrix_multiplication_train_0539
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[7, -4, -10, -4, -1, -9],\n [-6, -1, 3, -3, -9, 0],\n [7, -7, 10, -5, -6, -7],\n [-2, 9, 2, -2, 0, 6]]\nB =\n[[6, 1, 4, 4],\n [10, -4, -2, -4],\n [6, -3, 3, 2],\n [1, -4, 4, -4],\n [8, 9, -2, 6],\n [7, 2, -2, 9]]"
}
] |
-43
|
math
|
arithmetic_matrix_multiplication_train_0554
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, 9, 2, -1, 1],\n [4, 1, 0, 0, -1, 10],\n [-10, -8, 1, 0, 5, 3],\n [-9, 6, -9, -3, 2, -5],\n [6, 5, 4, 2, 10, 0]]\nB =\n[[7, -7, -4, -8, 7],\n [-5, -10, 5, -5, -4],\n [8, 6, 4, -2, -10],\n [-8, 8, 6, 0, -1],\n [-6, -2, -7, 10, -3],\n [0, 1, -5, -3, 1]]"
}
] |
-52
|
math
|
arithmetic_matrix_multiplication_train_0556
|
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, -3, -4, 10, 4, -5],\n [7, -3, -6, 10, -2, -9],\n [4, 6, -8, -6, 1, 6],\n [7, -2, -5, 4, 8, 8],\n [2, 2, 5, -3, -6, 0],\n [-9, -5, 8, 5, -3, -10]]\nB =\n[[-3, -4, -8, -6, -1, -2],\n [5, -8, 9, 5, 0, 5],\n [-3, 2, 0, 7, 7, 4],\n [-5, -4, -2, 5, 5, -1],\n [9, 2, -10, 0, 3, -4],\n [-9, -5, -2, -8, -1, 5]]"
}
] |
-522
|
math
|
arithmetic_matrix_multiplication_train_0572
|
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, 9, -7, -5, -1, -9],\n [3, -1, -5, 6, 2, -10],\n [8, -10, -4, -6, 9, 4],\n [6, 1, -3, 8, 1, -9],\n [-8, 7, -3, 6, 3, -4],\n [7, 8, -5, 8, -3, -6]]\nB =\n[[-1, 4, -6, 10],\n [-5, 1, -10, 0],\n [5, 5, 1, -8],\n [7, -8, -8, -1],\n [-2, 4, 7, -2],\n [5, 0, -5, -5]]"
}
] |
-60
|
math
|
arithmetic_matrix_multiplication_train_0595
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 10, 5],\n [-8, 9, -2, 3],\n [4, -7, 1, -5],\n [-2, 2, 4, 8]]\nB =\n[[-5, 9, 9, 2, 7],\n [0, -4, -4, 8, 9],\n [6, 5, 10, -3, -3],\n [-8, 3, -10, -8, -5]]"
}
] |
-66
|
math
|
arithmetic_matrix_multiplication_train_0598
|
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[[1, -2, -5, 5, -3],\n [5, -5, 7, -7, -1],\n [0, -5, 0, 5, -1],\n [-2, -8, -1, -6, 2],\n [-4, -10, 2, 3, 2],\n [-5, -2, 2, 2, -9]]\nB =\n[[-1, -8, 4, -10, -4, 3],\n [0, 3, -7, -2, 2, -9],\n [-1, -2, 5, -1, 1, 4],\n [6, -1, 3, 4, 0, 0],\n [-2, -1, 1, 7, -6, -7]]"
}
] |
1284
|
math
|
arithmetic_matrix_multiplication_train_0601
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, -6, 5, -3, -6],\n [5, -8, -10, -4, 2, -9],\n [-2, -1, -9, 4, -1, 2],\n [-3, 0, 2, -6, 2, -4]]\nB =\n[[-1, 2, 9, -4, -6],\n [-10, 8, -8, 2, -1],\n [5, -3, 5, -4, -1],\n [9, 10, 8, -2, 6],\n [-8, 2, -6, -1, 1],\n [3, -7, -5, 7, -2]]"
}
] |
144
|
math
|
arithmetic_matrix_multiplication_train_0605
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, -5, -7, 1],\n [7, 1, -5, 9, 10],\n [-4, -4, -9, -4, 10],\n [-7, -10, 0, 2, -5]]\nB =\n[[6, 8, -1, 7, 4, 1],\n [0, 10, 10, -4, -8, 8],\n [5, -9, 6, 9, -9, 5],\n [4, 4, -4, 1, 4, -6],\n [6, 0, 0, 1, -9, -6]]"
}
] |
-659
|
math
|
arithmetic_matrix_multiplication_train_0615
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 4, 0, 4, 7, 9],\n [-9, -1, 0, 1, 8, 7],\n [7, 6, -1, -3, 4, 0],\n [-7, -8, 8, -10, 10, 4],\n [9, 8, -3, 3, -4, 3]]\nB =\n[[-6, -3, -6, 8],\n [7, -6, 2, 0],\n [-9, 8, 10, -2],\n [-9, 4, 1, -1],\n [1, -8, 8, 6],\n [-7, -4, 6, 2]]"
}
] |
1202
|
math
|
arithmetic_matrix_multiplication_train_0621
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, -5, -2, -8, 1],\n [5, -4, -8, -4, -6, 0],\n [-3, 7, -2, 1, -8, 0],\n [2, 2, 8, -6, 9, -6],\n [-6, -9, 9, -8, 5, -3]]\nB =\n[[6, -3, -6, 0, 7, -2],\n [3, -8, -1, 3, -5, -1],\n [10, 6, 3, -1, 0, -2],\n [9, 9, 6, 1, 6, -3],\n [3, -9, 7, 7, -7, 2],\n [-6, 4, 4, -2, -6, -8]]"
}
] |
-368
|
math
|
arithmetic_matrix_multiplication_train_0634
|
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, -5, 9, 9],\n [-1, -6, 2, 1, 0],\n [3, -1, 6, 0, 0],\n [-8, 4, 4, 8, -9],\n [7, -4, 7, 8, -6]]\nB =\n[[5, 3, 10, -5, -9, -1],\n [5, -2, 5, -1, 1, 6],\n [-4, -6, -9, 8, -10, -10],\n [4, 8, 7, -10, 6, -8],\n [9, -8, -1, -10, -8, -10]]"
}
] |
1864
|
math
|
arithmetic_matrix_multiplication_train_0638
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 2, 6, -8],\n [3, 2, 3, -9],\n [-5, -6, 9, 1],\n [1, -8, -10, 0],\n [-1, 8, 8, -6],\n [0, 5, 0, 0]]\nB =\n[[3, -6, -8, 9, 7],\n [-7, 3, -4, 2, 2],\n [6, -2, 6, 9, 7],\n [-8, 4, 3, -6, 5]]"
}
] |
398
|
math
|
arithmetic_matrix_multiplication_train_0654
|
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, -4, 3, 9, 2, -7],\n [9, 4, -8, -7, -1, -6],\n [-1, -5, -3, -5, -10, 1],\n [9, 10, 2, -4, -8, 3],\n [-6, 3, -2, 8, 1, 10]]\nB =\n[[3, -1, -9, -10, 6, -3],\n [-6, -10, -7, 9, 5, -7],\n [-9, 4, -3, -8, -6, 8],\n [-6, -6, 2, 0, 10, 0],\n [3, -4, -8, 2, 2, -5],\n [-8, 10, -1, 0, 8, 1]]"
}
] |
42
|
math
|
arithmetic_matrix_multiplication_train_0659
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 3, -4, 6, 9, -9],\n [-8, 2, -2, 5, -8, -9],\n [10, 4, -4, 7, 3, 4],\n [-8, -9, 8, -5, 4, 5],\n [2, -5, 5, 9, -10, 7],\n [8, -8, 1, 8, 9, -2]]\nB =\n[[-4, 3, 0, -6],\n [2, 10, -5, 4],\n [5, -2, -5, 0],\n [10, -5, 8, 5],\n [4, 5, 9, 6],\n [-3, 7, -9, 1]]"
}
] |
566
|
math
|
arithmetic_matrix_multiplication_train_0661
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -1, -4, -7, 5],\n [-6, 1, 10, -5, -1],\n [7, -5, -8, -5, -7],\n [6, 8, 7, 6, 9]]\nB =\n[[-8, -8, 9, 9, -8],\n [4, 2, 5, -6, -1],\n [3, 1, 4, 9, 6],\n [-4, -1, 1, 10, -1],\n [-1, -2, -7, 3, -8]]"
}
] |
1402
|
math
|
arithmetic_matrix_multiplication_train_0677
|
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, 7, 5, -6, -2],\n [-5, -3, 1, -2, 3, -5],\n [0, 3, 9, -10, 3, 7],\n [-10, -6, 2, 4, 6, 2],\n [5, 2, -1, -3, -9, 2],\n [-8, -2, 6, -5, 10, 6]]\nB =\n[[1, 8, 4, 6, -5, -5],\n [-2, -8, 10, 8, 7, 0],\n [-7, -3, -5, -3, 3, -8],\n [-5, 9, -3, 3, -3, 9],\n [5, 3, 0, -9, 7, -2],\n [-9, -5, -4, -9, 5, -1]]"
}
] |
2623
|
math
|
arithmetic_matrix_multiplication_train_0693
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-7, 3, 6, 7, 8],\n [2, -6, -9, 3, -7],\n [3, 6, 10, -4, 9],\n [5, 5, -6, 5, -5],\n [-2, 1, 9, -8, 6],\n [-10, -6, -4, -1, -10]]\nB =\n[[10, 8, -9, 2, 8, 4],\n [3, -4, -6, -10, -9, -4],\n [-9, 7, 2, 7, 3, -8],\n [1, -3, -9, 8, -10, 3],\n [1, 4, -8, 9, -4, 1]]"
}
] |
65
|
math
|
arithmetic_matrix_multiplication_train_0713
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-10, -1, -1, 3, -5, 9],\n [-1, 8, -4, 1, 2, -2],\n [4, 4, -8, 0, 9, -5],\n [1, -10, 4, 4, 9, 9],\n [4, 1, -9, 2, 0, -4]]\nB =\n[[-9, -7, -2, -7, -5],\n [-3, 1, -2, 9, -1],\n [6, 6, -3, -3, -7],\n [10, -3, -5, 3, -4],\n [5, 9, 8, -3, -4],\n [-4, 7, 2, -1, 1]]"
}
] |
72
|
math
|
arithmetic_matrix_multiplication_train_0715
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[1, -1, 1, 7],\n [9, -1, 3, 2],\n [3, 9, 7, -4],\n [-8, -1, 9, 6],\n [-3, 8, 5, 4]]\nB =\n[[4, 10, 0, 6, 2, 9],\n [-10, 8, 1, -1, -8, 4],\n [4, 1, 9, -3, 10, -7],\n [-10, 2, -2, 5, -10, -3]]"
}
] |
22
|
math
|
arithmetic_matrix_multiplication_train_0716
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -3, 7, -1, -7, 4],\n [4, -1, -4, 7, 8, -10],\n [-10, -1, 9, 9, -8, 0],\n [-10, -6, -1, 3, 1, 0],\n [-4, -7, 3, 3, 0, 1],\n [9, 2, 3, 3, 7, 0]]\nB =\n[[3, 7, 6, 6, 8, -8],\n [3, -7, -1, -8, -7, 2],\n [-5, 0, 3, -5, 9, -8],\n [-8, 5, -5, 2, 3, 5],\n [7, 4, 0, -2, -6, 5],\n [6, 2, 6, 9, -1, 8]]"
}
] |
-46
|
math
|
arithmetic_matrix_multiplication_train_0742
|
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, 0, -4],\n [6, 1, -2, -2],\n [-9, -1, 2, 1],\n [-5, -7, -1, -7],\n [10, 9, 1, 7],\n [-1, -8, 2, -2]]\nB =\n[[-3, -7, 9, 6, -9],\n [-8, 3, -3, -8, 9],\n [-2, 1, 1, -5, -8],\n [-7, -4, -1, 7, 8]]"
}
] |
1649
|
math
|
arithmetic_matrix_multiplication_train_0744
|
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, -9, -2, 1, -9],\n [-7, 1, 6, -8, 7, -2],\n [-4, 8, 9, 1, -1, 9],\n [-8, -9, -7, 1, 5, 8]]\nB =\n[[-3, 8, 4, 7],\n [-5, 8, 4, 0],\n [1, -3, 9, 3],\n [-9, 2, 6, -10],\n [-10, -3, -9, 4],\n [6, -2, 5, -1]]"
}
] |
-343
|
math
|
arithmetic_matrix_multiplication_train_0766
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-10, -2, -7, 3, -10],\n [3, -7, 4, 1, 6],\n [-5, -6, 7, 5, 6],\n [9, -3, -1, 10, 10]]\nB =\n[[2, 4, 7, -5, -5, 0],\n [-6, -6, 4, 4, -10, -7],\n [-6, -2, 4, -10, -1, -7],\n [-7, -2, -3, -4, 0, -10],\n [5, -7, -2, 6, 1, 5]]"
}
] |
-4
|
math
|
arithmetic_matrix_multiplication_train_0801
|
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, 2, 1, -7, -8, 1],\n [6, 5, -8, 3, 4, 3],\n [3, 10, -1, 8, -4, -8],\n [-6, -4, -2, -9, 3, 3],\n [2, -2, -2, -3, -3, 9]]\nB =\n[[-7, 5, -7, -10, 1],\n [0, -3, 4, -5, 8],\n [1, 2, 4, 5, -4],\n [-10, 8, -10, -5, -5],\n [-2, 6, -4, -7, -3],\n [4, 8, 0, -4, 10]]"
}
] |
1694
|
math
|
arithmetic_matrix_multiplication_train_0807
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 1, 1, 10],\n [5, -9, -2, 8],\n [0, 4, 0, 5],\n [-9, -3, 6, -4]]\nB =\n[[1, 2, 0, 2, -10, 9],\n [-1, 3, 7, 5, -6, 7],\n [-2, 7, -8, 10, 10, 4],\n [1, -8, 9, 5, -5, 7]]"
}
] |
143
|
math
|
arithmetic_matrix_multiplication_train_0814
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, -10, 6, 4],\n [-8, 7, 3, 6, -3],\n [9, -8, -10, 10, 5],\n [-1, -7, 5, -3, -10],\n [-1, 7, 8, 6, 7],\n [-9, -3, -2, -6, -7]]\nB =\n[[-6, -4, 4, 1, 10, -1],\n [2, 4, 7, -2, 3, 3],\n [4, -8, 8, 10, -5, -6],\n [7, 9, -4, 6, 7, 9],\n [0, 0, -8, 2, 0, -7]]"
}
] |
-75
|
math
|
arithmetic_matrix_multiplication_train_0826
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -10, 0, 8, 9, 1],\n [5, 4, 8, 8, -2, 3],\n [8, -9, 1, 0, 4, 2],\n [-1, -4, -3, -9, -7, -8],\n [8, -10, -2, -1, -10, -7]]\nB =\n[[7, -3, 4, -9, -6, -5],\n [0, -2, 10, -4, -3, -4],\n [2, 6, -4, 10, -10, -3],\n [-1, -4, 4, 7, -5, 0],\n [-6, -2, -7, -3, -3, 8],\n [6, 5, 9, 4, -2, 5]]"
}
] |
-260
|
math
|
arithmetic_matrix_multiplication_train_0841
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -4, -2, 1],\n [-7, 4, -9, 1],\n [-9, -2, -7, -2],\n [-10, 9, 4, -1],\n [-2, 0, 1, 4]]\nB =\n[[4, 5, 1, 2, -1],\n [2, 2, 1, 6, -4],\n [2, -2, -9, 8, -9],\n [-4, -7, -5, 10, -2]]"
}
] |
51
|
math
|
arithmetic_matrix_multiplication_train_0845
|
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[[-9, 5, 3, -6],\n [9, 6, -1, 4],\n [9, -6, 9, 5],\n [4, 8, -3, -4]]\nB =\n[[7, 6, -4, 9, -8],\n [9, -9, -5, -5, -1],\n [1, -1, 9, -8, -4],\n [2, 5, 1, 2, -8]]"
}
] |
1505
|
math
|
arithmetic_matrix_multiplication_train_0861
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, -8, -1, 3, -5],\n [0, 3, -2, -8, -6, 4],\n [-7, 4, 5, -7, 8, -1],\n [-6, -7, -10, 0, 3, 4]]\nB =\n[[3, -7, -1, 6, 1, 0],\n [-10, -7, -4, -1, -4, -4],\n [2, -8, -3, -5, -8, -10],\n [-10, -10, -8, 0, -5, -5],\n [9, -1, -4, -5, -7, 1],\n [-5, -1, 1, 2, 2, 10]]"
}
] |
836
|
math
|
arithmetic_matrix_multiplication_train_0872
|
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, -7, 6, -10, -1, 7],\n [0, -7, -2, -5, 3, 9],\n [-3, -7, 10, 2, 0, 8],\n [2, 10, -7, 2, -3, 0],\n [7, 8, -9, -5, 0, 3]]\nB =\n[[-2, -1, 9, -4, 6, -3],\n [-3, -4, -5, 6, 4, -8],\n [2, 9, -1, 8, -4, 0],\n [-3, -7, 2, -1, -7, -5],\n [6, -1, -6, 2, 8, 5],\n [-2, 2, 1, 2, 8, -4]]"
}
] |
1787
|
math
|
arithmetic_matrix_multiplication_train_0888
|
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, -7, 2, 10, 2, -10],\n [0, -9, -4, -9, -10, 7],\n [1, 7, -6, 1, 2, -2],\n [2, 10, -2, 9, 5, 6],\n [2, 3, 1, 6, -3, 1]]\nB =\n[[6, -10, -2, 0, -8],\n [-2, -5, -7, -9, 8],\n [1, 4, -5, 3, 9],\n [-10, 3, -6, -9, -5],\n [10, -8, -3, -4, -6],\n [7, -9, -10, 1, 9]]"
}
] |
2021
|
math
|
arithmetic_matrix_multiplication_train_0894
|
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, 6, 5, 4, 2, -2],\n [-5, -5, -10, 9, -1, 1],\n [-1, 7, 9, 0, -7, -7],\n [-7, 1, -3, 7, 3, -4],\n [4, -2, 9, 9, 5, -8]]\nB =\n[[-8, 5, 6, 4, 4, 9],\n [-9, 2, 8, 10, -8, 9],\n [-8, 5, 3, -6, -7, -3],\n [0, 7, 0, -8, -5, 0],\n [-6, -4, -3, 4, 2, 0],\n [3, 1, -7, -2, 2, 10]]"
}
] |
-604
|
math
|
arithmetic_matrix_multiplication_train_0897
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 5, -8, 10],\n [-6, -1, 5, 9, -10],\n [9, -1, 2, 7, -5],\n [4, 9, -7, 2, 8],\n [-3, -8, -8, 5, -3],\n [5, 2, -9, -3, -10]]\nB =\n[[8, 3, 10, 9, 2],\n [-10, -2, 7, -2, 6],\n [-4, -1, 9, -2, -2],\n [1, -4, 1, 8, -10],\n [2, 5, 8, -2, 9]]"
}
] |
281
|
math
|
arithmetic_matrix_multiplication_train_0900
|
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, 6, 7, 8],\n [-9, 6, -4, 2],\n [-3, 5, 2, 0],\n [-2, 5, -6, 2],\n [-5, 2, -7, 7]]\nB =\n[[7, 8, 0, -10, 4, 3],\n [1, 3, -7, 3, -6, -8],\n [8, -5, -7, 10, -6, 7],\n [2, 10, -4, 3, -4, 4]]"
}
] |
1533
|
math
|
arithmetic_matrix_multiplication_train_0917
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 3, -3, -3, -6],\n [1, 10, 10, -4, 4],\n [-7, 10, 5, 9, 6],\n [-8, -4, 2, -9, 9]]\nB =\n[[8, -8, -9, -4, -1],\n [-5, 2, 7, 5, -9],\n [-6, 10, -9, -10, 5],\n [-4, 3, -5, -3, -2],\n [-8, 3, -7, -7, -7]]"
}
] |
1571
|
math
|
arithmetic_matrix_multiplication_train_0931
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 0, 7, -2, -10, -10],\n [8, 2, 8, 8, 4, 4],\n [3, -1, -10, -7, -7, -5],\n [0, 9, 0, 3, 1, -5],\n [-7, 7, 10, -7, -4, 6],\n [2, 7, -10, 6, 4, 4]]\nB =\n[[-5, -7, 4, 5, -4],\n [-5, 9, -4, 4, -2],\n [2, -4, 2, -7, 0],\n [-3, -6, 5, -2, 9],\n [4, 5, 8, -10, 6],\n [8, 5, 8, 10, 0]]"
}
] |
-354
|
math
|
arithmetic_matrix_multiplication_train_0938
|
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, -7, 0, -6, 3, -9],\n [6, -1, -3, -1, -8, -7],\n [2, -1, 4, 6, 5, 8],\n [10, -3, 6, -1, -7, 6],\n [3, -7, 10, -2, 9, -2],\n [-7, -9, 1, -5, 0, 8]]\nB =\n[[-8, 1, -6, 5, -3],\n [-7, -9, -6, 4, -9],\n [5, -1, -2, -5, -2],\n [-1, 10, 0, -9, -9],\n [-1, 10, -5, -3, 0],\n [4, 2, -3, -2, -6]]"
}
] |
509
|
math
|
arithmetic_matrix_multiplication_train_0940
|
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[[-3, 0, 3, 7, 3, 1],\n [0, -7, -9, 5, 5, -2],\n [10, 8, -4, 9, -1, 3],\n [-4, 7, 10, -5, 1, 3],\n [2, 0, -10, 9, -3, -2],\n [-10, -9, -9, 10, -2, -4]]\nB =\n[[-6, 8, 6, -8, -10, 5],\n [7, 6, 5, -7, -7, 0],\n [9, 2, -2, 2, 10, 7],\n [0, 8, 5, -5, 0, -7],\n [-5, -4, -7, -4, -6, -2],\n [-3, 1, 5, -6, -1, 6]]"
}
] |
2900
|
math
|
arithmetic_matrix_multiplication_train_0946
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[4, -9, -5, -4, 8],\n [-3, 5, -5, -6, 6],\n [3, 10, 1, 0, -7],\n [-8, -1, -7, 8, 1],\n [5, -5, -2, 9, -8],\n [-2, 10, 4, 10, -8]]\nB =\n[[-10, 10, -4, -7, -7, -2],\n [10, -2, -10, -8, 10, 7],\n [6, -4, -5, 2, 7, 6],\n [-4, -2, -10, -6, -6, 1],\n [-3, -9, 8, -7, -4, -1]]"
}
] |
116
|
math
|
arithmetic_matrix_multiplication_train_0948
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-9, 10, 4, 1, 1],\n [4, -2, -7, -10, 2],\n [3, -7, -10, -10, 4],\n [0, -5, -5, 2, -3],\n [-9, 3, 9, -10, 3]]\nB =\n[[-9, 4, -6, -3],\n [1, -6, -4, 7],\n [8, 2, -1, -2],\n [6, -1, 4, 0],\n [-1, -3, -1, -7]]"
}
] |
-35
|
math
|
arithmetic_matrix_multiplication_train_0959
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 0, 0, -10, -8, 4],\n [-4, 6, 6, 3, 5, 9],\n [-4, 0, 9, -10, -8, 3],\n [5, 8, 3, 1, 3, 6]]\nB =\n[[2, 8, 7, -5],\n [-7, -1, -2, -9],\n [-6, 1, 2, -5],\n [6, -2, -8, 5],\n [-7, 6, -1, -1],\n [5, 6, -2, -2]]"
}
] |
1014
|
math
|
arithmetic_matrix_multiplication_train_0961
|
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[[5, -6, 2, 3, -4, 10],\n [3, 0, 5, 7, -2, 3],\n [8, -3, -3, 8, -8, 5],\n [0, 4, -6, 4, 8, 5],\n [-8, 9, -9, 9, -4, 3],\n [9, -2, -8, -6, 9, 9]]\nB =\n[[4, 6, 3, -8, 6, 0],\n [4, 10, -10, 10, 7, 9],\n [-1, 8, -4, 2, -4, 0],\n [-9, -8, -2, 0, -3, 10],\n [0, 5, -6, 8, -4, -7],\n [-2, 2, -7, -3, -4, 5]]"
}
] |
2447
|
math
|
arithmetic_matrix_multiplication_train_0963
|
arithmetic_matrix_multiplication
| null |
[
{
"role": "user",
"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-3, -10, -3, -7, 2],\n [10, -4, 0, 2, -4],\n [-1, -8, 7, 4, -2],\n [5, 3, -4, 0, -8]]\nB =\n[[-3, 8, -5, 5],\n [9, -3, -8, 10],\n [-10, -9, -2, -4],\n [-5, -9, -7, 1],\n [-2, 8, 8, 7]]"
}
] |
-105
|
math
|
arithmetic_matrix_multiplication_train_0972
|
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[[-9, 3, 8, 2, 5, -3],\n [-10, -6, -4, 3, -2, 1],\n [1, -5, 9, 10, 7, 4],\n [7, 2, 3, -7, -3, -6]]\nB =\n[[2, 4, -3, 6, 4],\n [7, 5, -1, -5, 0],\n [10, -4, -8, 1, 0],\n [4, -3, -8, -6, -8],\n [-10, 0, -8, 1, -6],\n [-9, -4, -1, -5, -8]]"
}
] |
1626
|
math
|
arithmetic_matrix_rank_train_0054
|
arithmetic_matrix_rank
| null |
[
{
"role": "user",
"content": "Find the rank of the matrix:\n[[-8, -8, 8, 2],\n [2, -2, -12, 7],\n [-4, -14, -12, 20],\n [-26, -22, 0, -2]]"
}
] |
3
|
math
|
arithmetic_matrix_rank_train_0287
|
arithmetic_matrix_rank
| null |
[
{
"role": "user",
"content": "Determine the rank of the following matrix:\n[[-6, -4, 10, 11],\n [-1, 4, -2, 6],\n [4, 12, -2, -5],\n [-8, -8, 8, 16]]"
}
] |
3
|
math
|
arithmetic_matrix_svd_train_0463
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[4, -6, 4, -4, 2],\n [2, -5, -5, -4, -6],\n [3, -3, -5, 5, 6],\n [6, 6, -2, -4, 2],\n [-4, -5, 3, 6, 3]]"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0487
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-5, 4, 2, -2, 5],\n [-6, -4, 5, -5, 0],\n [6, -4, 4, 1, -1],\n [-5, -4, -5, 4, 3],\n [2, 4, -3, 4, -4]]"
}
] |
40
|
math
|
arithmetic_matrix_svd_train_0501
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[2, 1, -2, 3, 4],\n [-3, 4, -6, 5, -3],\n [6, 1, -5, 3, 2],\n [-5, -5, 3, -4, 1],\n [3, 3, 2, -6, -6]]"
}
] |
13
|
math
|
arithmetic_matrix_svd_train_0543
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[6, 5, -6, 2, 0],\n [3, 4, 5, 6, -5],\n [-4, 0, -5, -5, -6],\n [-4, -6, -5, -6, -6],\n [-6, -2, 3, 6, 1]]"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0557
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[6, 5, 2, 6, 5],\n [-3, -2, 3, 6, 2],\n [-6, -2, 1, 5, -3],\n [2, 1, 2, 5, -5],\n [6, -6, -3, 2, -5]]"
}
] |
12
|
math
|
arithmetic_matrix_svd_train_0573
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, -6, -5, -6, 2],\n [0, 2, 1, 3, -4],\n [5, 4, 1, -6, -3],\n [4, 6, -3, -1, 2],\n [4, 0, 4, -4, 4]]"
}
] |
11
|
math
|
arithmetic_matrix_svd_train_0598
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, -4, 0, 3, -1],\n [5, -1, 3, 5, 0],\n [4, 0, 5, 3, -4],\n [-6, 6, -3, 2, 2],\n [-2, 0, 0, 0, -3]]"
}
] |
13
|
math
|
arithmetic_matrix_svd_train_0638
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-2, -5, 3, 0, 5],\n [3, -6, 1, 4, 5],\n [-6, 1, -5, -4, -2],\n [-5, -4, 0, 0, 3],\n [4, 3, 6, -2, 6]]"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0661
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[3, 5, -1, 5, -5],\n [0, -1, -3, 1, -1],\n [3, 0, 5, 1, 6],\n [-6, -4, -6, 5, 1],\n [2, -3, 1, -6, 0]]"
}
] |
12
|
math
|
End of preview. Expand
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