id string | setting_key string | difficulty string | level int64 | messages list | ground_truth string | dataset string | omega_split string | __index_level_0__ int64 |
|---|---|---|---|---|---|---|---|---|
math_arithmetic_matrix_determinant_level_6_6_0 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[26, -1, 16, 4, -12, 19, -23, -5, 18, 9],\n [0, -1, -24, -28, -30, 5, -6, 6, -30, -16],\n [0, 0, 9, -23, -26, 29, -22, -30, 5, 4],\n [0, 0, 0, -22, 3, 15, -17, -27, -1, 0],\n [0, 0, 0, 0, -28... | 168 | math | train | 411,232 |
math_arithmetic_matrix_determinant_level_6_6_1 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-18, 6, 7, -7, -29, -9, -14, 5, -17, -21],\n [4, -6, -28, 16, 7, -14, -19, 23, 21, -7],\n [-2, 12, -6, 5, 27, 29, -5, 7, -30, -11],\n [24, -3, -15, 16, -14, 9, -3, 27, -19, -4],\n [23, 22, 11, 28, 16, -1, 10, 3, 6, -25],\n [-24, 1, 1, 22, -6, 2, 24, 27, -24, 21],\... | 980 | math | train | 411,233 |
math_arithmetic_matrix_determinant_level_6_6_2 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[20, -30, 1, -6, -2, -24, 18, -28, -11, -11],\n [22, -1, 4, 4, 18, 8, -4, -5, -17, -14],\n [-13, 14, 21, -2, -11, 22, -4, -13, -27, -30],\n [19, -30, 27, -5, 14, -11, 21, -8, -21, 28],\... | 376 | math | train | 411,234 |
math_arithmetic_matrix_determinant_level_6_6_3 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, -6, -11, 0, -27, 13, -8, -29, 25, -9],\n [20, 26, 6, -23, -24, -17, 25, 24, -28, 19],\n [-15, 24, -12, 20, -13, 21, -15, -23, 29, 2],\n [18, -19, 22, -20, -26, -4, -19, -14, -25, 2],\n ... | 233 | math | train | 411,235 |
math_arithmetic_matrix_determinant_level_6_6_4 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[27, -2, -10, -10, 9, -8, 25, -25, -9, 19],\n [0, 6, 14, 20, 23, -23, 10, 18, 4, 20],\n [0, 0, 18, -10, 20, -29, 9, -12, 8, -3],\n [0, 0, 0, -12, 25, 7, -3, -29, 7, 24],\n [0, 0, 0, 0, -9, -5, 18, 12, 5, 27],\n [0, 0, 0, 0, 0, 10, 5, 24, 29, 15],\n [0, 0, ... | 0 | math | train | 411,236 |
math_arithmetic_matrix_determinant_level_6_6_5 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-2, 8, 29, 3, 12, 14, -8, -26, -1, -25],\n [25, 27, 30, 15, 13, -27, -2, -8, -25, 1],\n [11, -13, -16, 9, 27, 1, -22, 6, -21, -11],\n [-25, 17, 25, 28, -28, 11, -20, 12, -14, 1],\n [-27, -27, -14, 10, -12, -26, 1, -9, 25, -25],\n [4, -9, -30, -11, -9, 17,... | 486 | math | train | 411,237 |
math_arithmetic_matrix_determinant_level_6_6_6 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, 12, 14, 12, 13, 12, 14, 6, 20, -24],\n [12, -25, 20, -20, -26, 20, 6, 10, -7, -4],\n [14, 20, -8, 4, 0, 16, 8, -18, -12, -20],\n [12, -20, 4, 16, -18, 8, -14, -12, -6, -4],\n [13, -26, ... | 331 | math | train | 411,238 |
math_arithmetic_matrix_determinant_level_6_6_7 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, -29, 12, -17, -9, 0, -8, 17, -11, 30],\n [7, 24, -27, -16, -7, -6, -30, -24, 26, 0],\n [-19, 11, -26, 13, 19, 11, 7, 29, -19, 8],\n [-13, -29, -21, -16, -1, 13, 27, -14, -27, -24],\n [1... | 363 | math | train | 411,239 |
math_arithmetic_matrix_determinant_level_6_6_8 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, -11, 8, -7, 17, -11, -30, -30, -14, 28],\n [-30, 22, 21, 14, -1, 10, 16, -28, 15, 24],\n [-20, -7, -9, 13, 14, -5, -18, -30, -7, -21],\n [4, -7, -3, 5, -15, 9, -15, 28, -14, 20],\n ... | 134 | math | train | 411,240 |
math_arithmetic_matrix_determinant_level_6_6_9 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-24, -22, -18, 27, -28, 4, 2, -10, 0, 21],\n [0, 1, 26, 4, -16, 25, 1, -25, 14, -10],\n [0, 0, 21, -12, 2, -3, 0, -10, 23, 3],\n [0, 0, 0, 12, -16, -25, 21, -22, 6, -11],\n [0, 0, 0, 0, -3, 30, 24, 20, -22, 1],\n [0, 0, 0, 0, 0, -17, -3, 27, -7, 30],\n [0... | 680 | math | train | 411,241 |
math_arithmetic_matrix_determinant_level_6_6_10 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[4, -4, -6, -13, 23, -30, 30, 17, 8, -28],\n [24, -27, 10, 6, 20, -16, -23, 7, 19, -12],\n [25, 16, -5, 8, -21, 7, -17, 18, 10, -12],\n [-1, -26, 24, 0, -24, -12, 0, 21, 27, 8],\n [-7, 3, 26, -8, 17, 14, 9, -25, 7, 10],\n [5, -4, -20, -26, 26, -14, 21, -24... | 578 | math | train | 411,242 |
math_arithmetic_matrix_determinant_level_6_6_11 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-7, -17, 17, -24, 5, 19, -7, -4, 6, 7],\n [-1, -4, 8, -16, -5, -30, 25, -27, -2, 26],\n [-30, 12, 19, 15, -9, -20, -21, 28, -14, 5],\n [25, 16, -5, 17, -10, -18, -22, -20, -20, -25],\n [-30, 23, -25, -18, -9, 25, 0, -9, 6, 16],\n [-4, 19, 21, -17, 16, 27,... | 580 | math | train | 411,243 |
math_arithmetic_matrix_determinant_level_6_6_12 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, -6, 5, 6, 14, 3, 18, -12, -22, 18],\n [-6, 16, 21, 6, -15, -24, 20, 16, 8, 5],\n [5, 21, -9, -5, -4, 24, 24, -7, 2, -20],\n [6, 6, -5, 18, -22, 2, 12, 4, 11, 2],\n [14, -15, -4, -22... | 883 | math | train | 411,244 |
math_arithmetic_matrix_determinant_level_6_6_13 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[21, -16, -6, -8, 6, 22, -5, 6, 6, 8],\n [-16, -30, -18, -6, 22, -6, -4, -10, -6, -20],\n [-6, -18, 14, -3, 5, -14, -14, -10, -1, 6],\n [-8, -6, -3, 11, -14, -23, 16, 7, -15, -1],\n [6, 22, 5, -14, 19, -23, 16, -13, -6, -6],\n [22, -6, -14, -23, -23, -24, ... | 310 | math | train | 411,245 |
math_arithmetic_matrix_determinant_level_6_6_14 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, 12, -18, -14, 0, 22, -17, 16, -4, -24],\n [12, 30, 17, 0, -18, -8, -11, 4, -5, 17],\n [-18, 17, 6, -21, 8, 0, 8, -15, 6, -12],\n [-14, 0, -21, 14, 14, -20, 12, 20, -4, -18],\n [0, -18, 8... | 401 | math | train | 411,246 |
math_arithmetic_matrix_determinant_level_6_6_15 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[22, -22, 28, 24, -22, -19, 24, 10, -16, -29],\n [-20, -20, -23, 24, 1, -25, 22, -11, 8, 4],\n [-23, 19, 18, 12, 3, 26, 22, 28, 25, -12],\n [-24, 0, -13, 9, -17, 8, 29, 22, 29, 28],\n [5, -14, 6, 13, -22, 27, -11, 14, 26, -3],\n [19, -11, 10, 5, 22, -4, -23... | 612 | math | train | 411,247 |
math_arithmetic_matrix_determinant_level_6_6_16 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-17, -14, -1, -6, 12, 14, -22, 20, -2, -2],\n [-14, -10, 8, 6, 8, 28, 24, 22, 13, -10],\n [-1, 8, 3, 12, -22, 2, 10, -2, -2, -4],\n [-6, 6, 12, -13, 0, 25, -6, -14, 0, -15],\n [12, 8, -22, 0, 17, -2, 1, -2, -4, -4],\n [14, 28, 2, 25, -2, 25, -20, -10, 23, 14],\n [... | 273 | math | train | 411,248 |
math_arithmetic_matrix_determinant_level_6_6_17 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 15, -1, -21, -5, -4, -23, 8, -23, 29],\n [-23, 24, 3, 28, -15, 10, -18, -8, -19, -4],\n [-9, 1, 26, 30, 18, -4, -29, 14, 2, -5],\n [-3, -12, 12, -26, 2, -11, -1, 14, -23, 7],\n [3... | 164 | math | train | 411,249 |
math_arithmetic_matrix_determinant_level_6_6_18 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, -14, 7, -6, 18, -4, -17, -12, -10, 22],\n [-14, -7, 16, -14, 18, 4, -14, 22, -3, -5],\n [7, 16, 19, -27, -12, -16, 2, 14, -23, -6],\n [-6, -14, -27, -22, -13, -20, -9, 4, -26, 9],\n [18... | 214 | math | train | 411,250 |
math_arithmetic_matrix_determinant_level_6_6_19 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[-9, -16, -5, -13, 17, -22, -30, 12, -22, -8],\n [12, 14, 27, -29, -17, 7, 9, -13, -15, 22],\n [-2, 13, -20, -25, -28, -17, 29, -29, 1, 0],\n [-20, -9, -28, 19, 0, 2, -7, -30, 13, -16],\n [6, -4, 7, 17, -4, 13, -19, -28, -1, 1],\n [-8, -29, -24, 3, 1, 22, 8... | 860 | math | train | 411,251 |
math_arithmetic_matrix_determinant_level_6_6_20 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-23, -4, -21, -17, 15, 28, 21, 23, -20, -25],\n [-10, 2, -12, 8, -7, -13, 4, 21, 12, 6],\n [-12, 22, -7, 25, 3, -9, -27, 26, -21, -29],\n [-23, 2, 28, 7, 12, 28, -3, -21, 14, -30],\n [3, -28, -22, -26, 11, -21, -19, -13, 27, -10],\n [-10, -30, -28, -26, -6, 27, 18... | 243 | math | train | 411,252 |
math_arithmetic_matrix_determinant_level_6_6_21 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[9, -4, 12, -6, 10, -12, -19, 18, -22, -12],\n [-4, -14, 12, 8, -9, 9, -7, -21, 0, -24],\n [12, 12, 25, 19, -6, -26, -2, 4, 13, 8],\n [-6, 8, 19, 1, 22, -18, 0, -12, -4, 9],\n [10, -9, -6, 22, -4, -16, 14, -2, -4, 8],\n [-12, 9, -26, -18, -16, 23, -1, -1, ... | 571 | math | train | 411,253 |
math_arithmetic_matrix_determinant_level_6_6_22 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-26, -20, 16, 12, -6, -6, -7, 24, 20, 16],\n [-20, 19, 3, 2, 0, 20, -14, 14, -2, 14],\n [16, 3, 8, -4, 22, -18, 0, 6, -10, 4],\n [12, 2, -4, 30, 18, 19, -3, 14, -11, 4],\n [-6, 0, 22, 18, 22... | 488 | math | train | 411,254 |
math_arithmetic_matrix_determinant_level_6_6_23 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[-16, -25, 17, -16, 12, -11, 3, 29, 29, -29],\n [0, -15, -12, 3, 18, -17, -7, -3, 17, 1],\n [0, 0, 18, 14, 17, -22, -7, 5, 25, -2],\n [0, 0, 0, 17, -8, -4, 0, 12, -24, 18],\n [0, 0, 0, 0, 11, 11, -21, 28, 13, 3],\n [0, 0, 0, 0, 0, -23, 22, -17, -24, -24],\n... | 0 | math | train | 411,255 |
math_arithmetic_matrix_determinant_level_6_6_24 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, 10, 10, -10, 29, 26, 7, -23, 12, 1],\n [0, 13, -21, -8, -27, 17, 21, 7, -1, 10],\n [0, 0, -10, 25, -25, 18, -14, -6, -7, -9],\n [0, 0, 0, 3, -5, -12, -5, 29, -28, -29],\n [0, 0, 0, 0, -2... | 0 | math | train | 411,256 |
math_arithmetic_matrix_determinant_level_6_6_25 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, -5, -16, -2, 0, 8, 8, -4, -10, -19],\n [-5, -28, -7, 4, 4, -6, -23, -4, 12, -17],\n [-16, -7, 19, -16, 4, 9, -6, 7, 14, 22],\n [-2, 4, -16, 8, 12, -14, -10, 10, -4, 2],\n [0, 4, 4, 12, 22... | 156 | math | train | 411,257 |
math_arithmetic_matrix_determinant_level_6_6_26 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[13, 7, -12, 17, 22, 24, 25, 30, 1, 15],\n [0, 5, -13, -21, 1, -13, -19, 20, -23, 2],\n [0, 0, 7, -17, -29, -22, 30, 13, -26, 3],\n [0, 0, 0, 11, -14, -5, 15, -4, 12, -3],\n [0, 0, 0, 0, -12, 1, -12, -7, -7, 25],\n [0, 0, 0, 0, 0, 10, -8, 25, 17, -13],\n [0, 0, 0, ... | 400 | math | train | 411,258 |
math_arithmetic_matrix_determinant_level_6_6_27 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-6, 19, -17, 13, 15, -5, -13, -11, 3, -24],\n [0, 29, -21, -16, -14, -20, 3, -4, -10, 0],\n [0, 0, -27, 10, 28, 29, 18, -14, 18, 17],\n [0, 0, 0, -8, -16, 2, -12, 26, -16, 10],\n [0, 0, 0, 0, 17, 1, -9, 12, 1, -18],\n [0, 0, 0, 0, 0, 30, 18, 2, -4, -26],\... | 200 | math | train | 411,259 |
math_arithmetic_matrix_determinant_level_6_6_28 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-17, 17, -12, 11, -8, 10, 21, 18, -18, 16],\n [17, 12, -15, 9, 7, -8, -6, 4, 10, 7],\n [-12, -15, 14, 6, -14, 12, 14, 10, 4, -12],\n [11, 9, 6, -6, -2, 0, -14, 22, -8, -10],\n [-8, 7, -14, -2, -16, 2, -1, 4, -11, 1],\n [10, -8, 12, 0, 2, 24, 24, 2, -4, -1... | 396 | math | train | 411,260 |
math_arithmetic_matrix_determinant_level_6_6_29 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, -20, 20, -20, 3, 16, 6, 19, -2, 22],\n [22, 17, 5, -4, 24, 11, -9, -29, 16, 5],\n [30, 17, -1, 28, -24, 26, 26, -19, -28, -14],\n [10, 1, -23, -8, 7, -1, -16, -21, 24, 28],\n [26, 7, -1... | 555 | math | train | 411,261 |
math_arithmetic_matrix_determinant_level_6_6_30 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -15, -13, -13, 7, 19, 12, 1, -24, -8],\n [-8, 15, 30, -13, -24, 11, 9, -7, -17, 19],\n [-26, 15, 23, 26, -9, 27, -9, -21, -5, -16],\n [7, 10, 11, 24, 18, -30, -17, 5, 0, -3],\n [3, ... | 42 | math | train | 411,262 |
math_arithmetic_matrix_determinant_level_6_6_31 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 6, 22, -21, 1, -18, 6, -2, 16, -22],\n [6, 5, -12, -16, -14, 26, -4, -9, 13, 28],\n [22, -12, -8, 4, 8, 20, 22, -11, 2, 22],\n [-21, -16, 4, 23, 14, 20, 4, 20, -8, -17],\n [1, -14, 8, 14... | 35 | math | train | 411,263 |
math_arithmetic_matrix_determinant_level_6_6_32 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, 0, 6, 27, 25, -12, -8, 4, 23, 19],\n [-25, -25, 25, 6, -1, -30, -23, -3, -6, 2],\n [22, 29, 7, 21, -17, -20, -29, 22, -1, -1],\n [-27, -18, -24, 7, -28, -22, -17, 21, -20, 6],\n [-17, -1... | 615 | math | train | 411,264 |
math_arithmetic_matrix_determinant_level_6_6_33 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[5, -24, -20, 4, -4, -18, -10, -2, 10, -19],\n [-24, 25, 2, 11, -2, -20, -2, 12, 2, 26],\n [-20, 2, 11, 20, -10, 20, 0, -16, 5, -13],\n [4, 11, 20, -11, -10, 23, 4, 18, 15, -4],\n [-4, -2, -10, -10, -9, -22, 16, 5, -18, -7],\n [-18, -20, 20, 23, -22, 4, 18, 4, 2, 4... | 775 | math | train | 411,265 |
math_arithmetic_matrix_determinant_level_6_6_34 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[18, -6, 5, -14, 0, -5, -15, -2, 10, 18],\n [-6, -6, -12, 16, -25, -9, -2, 12, -14, -14],\n [5, -12, 27, -1, 6, 20, -20, 6, -10, 14],\n [-14, 16, -1, -27, -26, 12, -2, 0, -17, 2],\n [0, -25, 6, -26, 3, 16, -15, -23, 4, 8],\n [-5, -9, 20, 12, 16, 5, 18, -14, -30, 10... | 15 | math | train | 411,266 |
math_arithmetic_matrix_determinant_level_6_6_35 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-21, 25, 16, -28, -29, 23, 6, 25, 0, 2],\n [1, 12, -19, 27, -28, 24, 30, 17, -5, -17],\n [-19, 21, -5, -15, 22, -23, 18, 18, -3, -24],\n [-16, 30, 29, 10, 5, -23, -21, -16, 24, -13],\n [15, 6, 10, 14, 30, 26, 20, 12, 13, 4],\n [-29, 24, -9, -16, 6, 8, 5, -26, 26, ... | 788 | math | train | 411,267 |
math_arithmetic_matrix_determinant_level_6_6_36 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -10, 8, 0, 26, -26, 24, -12, -16, 13],\n [-10, -29, -4, -4, 8, -8, 24, -2, -1, -21],\n [8, -4, -24, 8, -2, 1, -2, -6, -15, -14],\n [0, -4, 8, -15, -2, -27, -10, -13, -12, 2],\n [26... | 100 | math | train | 411,268 |
math_arithmetic_matrix_determinant_level_6_6_37 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[4, -16, 19, 13, -1, 14, 2, 5, 9, 20],\n [0, -1, -5, -10, 6, 12, 26, 0, 25, 25],\n [0, 0, -14, -14, 3, -7, 27, 2, -27, -22],\n [0, 0, 0, 7, 14, -16, 12, 11, -28, 0],\n [0, 0, 0, 0, 22, 24, 26, 25, 28, -8],\n [0, 0, 0, 0, 0, 1, -14, 23, 6, -7],\n [0, 0, 0, 0, 0, 0, ... | 672 | math | train | 411,269 |
math_arithmetic_matrix_determinant_level_6_6_38 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -28, 2, -1, 5, -22, -30, 17, -8, -28],\n [0, -7, -25, -18, 18, -16, 27, 22, -1, -19],\n [0, 0, 28, 17, 4, -3, 29, -27, -24, 16],\n [0, 0, 0, 15, 24, 14, 10, -6, 19, -28],\n [0, 0, 0, 0, ... | 600 | math | train | 411,270 |
math_arithmetic_matrix_determinant_level_6_6_39 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, -30, 18, 6, 18, 4, 10, -28, 4, -2],\n [0, 6, 29, 25, 11, 16, -6, -19, 7, -24],\n [0, 0, -27, 30, 14, 16, 0, 19, 19, 8],\n [0, 0, 0, -5, -8, -2, -23, -12, -2, 12],\n [0, 0, 0, 0, 25... | 0 | math | train | 411,271 |
math_arithmetic_matrix_determinant_level_6_6_40 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 19, -29, 14, 1, 16, -3, 25, -27, -24],\n [0, -6, 17, 27, -22, -8, -8, 18, -5, 9],\n [0, 0, -4, 14, -29, -30, 17, -15, 12, -7],\n [0, 0, 0, -25, -5, -2, 12, 27, -30, -22],\n [0, 0, ... | 0 | math | train | 411,272 |
math_arithmetic_matrix_determinant_level_6_6_41 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[5, -28, 12, -2, 2, -17, 7, -2, -8, 28],\n [-14, 28, 18, 24, -20, -3, 23, -24, 14, 9],\n [-23, 10, -2, -6, -24, 26, -9, -22, -20, 3],\n [-4, 19, -9, -28, 19, 17, 9, 24, -23, -25],\n [26, -6, -29, -15, 27, 22, 10, 20, -10, -16],\n [25, 3, 16, 23, 12, -11, 13... | 457 | math | train | 411,273 |
math_arithmetic_matrix_determinant_level_6_6_42 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[17, -6, 21, -20, -25, 23, 9, 4, -4, -6],\n [-6, -16, 3, 8, -14, 22, 2, 17, 22, 8],\n [21, 3, 27, -10, 6, 6, 10, 8, -8, -18],\n [-20, 8, -10, -26, 10, 14, 16, 14, 15, -6],\n [-25, -14, 6, 10, -11, -8, -10, 9, -22, 15],\n [23, 22, 6, 14, -8, 19, -1, -26, -11, -8],\n... | 788 | math | train | 411,274 |
math_arithmetic_matrix_determinant_level_6_6_43 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-26, -12, -23, 6, 0, -4, -18, 11, -25, -30],\n [0, -20, 21, 10, 0, -15, -16, -26, -16, -30],\n [0, 0, 29, 17, 23, 8, 24, -23, 22, -9],\n [0, 0, 0, -1, -19, 27, 29, -29, 15, 20],\n [0, 0, 0, 0, -14, 4, 21, 26, 11, 25],\n [0, 0, 0, 0, 0, 26, 19, -12, -14, -... | 0 | math | train | 411,275 |
math_arithmetic_matrix_determinant_level_6_6_44 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[21, -28, 3, -19, 25, 27, 14, -4, 19, 6],\n [24, -6, -19, 20, 2, -22, -30, 25, 19, -8],\n [-3, -28, 7, 23, 5, 25, 13, 13, -26, 24],\n [-2, 22, -18, 13, -27, -25, 20, 7, -25, -20],\n [-4, 23, 15, 28, 4, 30, 9, -27, -4, -15],\n [-13, -24, -20, -23, 28, 21, -25, 25, 1... | 516 | math | train | 411,276 |
math_arithmetic_matrix_determinant_level_6_6_45 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, -23, 25, 1, -5, 23, -13, 6, 21, -19],\n [7, 3, -27, -15, 30, -7, -17, -14, 20, 0],\n [-27, 19, 13, 3, 7, 7, -28, -23, -19, 4],\n [-29, 22, -2, -8, 2, 19, -13, 9, 27, -9],\n [-17, -... | 951 | math | train | 411,277 |
math_arithmetic_matrix_determinant_level_6_6_46 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[11, 1, 1, -12, -2, 2, -29, 27, -20, 16],\n [24, 2, 10, 9, -30, 11, -14, 19, -15, -29],\n [23, 18, -27, 1, -24, -2, 30, 29, -22, 27],\n [4, 21, 22, -26, 19, 30, -10, 27, -14, 8],\n [-17, 1, -16, -10, 23, -17, 10, -15, 20, -30],\n [9, -13, 3, -5, 30, 5, -10, -30, -4... | 424 | math | train | 411,278 |
math_arithmetic_matrix_determinant_level_6_6_47 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[24, 14, 26, 4, -12, 4, -2, -7, 8, -24],\n [14, 18, 12, -24, -15, -15, 7, 15, 4, 9],\n [26, 12, 24, 2, -18, 3, 18, 11, 16, 5],\n [4, -24, 2, -15, 20, -12, 6, -16, 0, 23],\n [-12, -15, -18, 20, -4, -26, 11, -17, -18, 8],\n [4, -15, 3, -12, -26, -12, 20, -10, -2, -3]... | 713 | math | train | 411,279 |
math_arithmetic_matrix_determinant_level_6_6_48 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -1, 9, -14, 26, 25, -13, -6, -27, -5],\n [0, -19, 23, 17, -13, -21, 5, -29, 29, -6],\n [16, -22, 16, 1, -26, 20, -28, -14, -18, 25],\n [-28, -3, -27, -13, 25, 4, -17, -15, -19, -20... | 345 | math | train | 411,280 |
math_arithmetic_matrix_determinant_level_6_6_49 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[8, -12, 24, 19, -30, -20, 10, 11, -21, -30],\n [0, -14, 28, 13, 13, 20, -14, 8, 24, 12],\n [0, 0, 17, -8, 10, 28, -21, 22, 11, -1],\n [0, 0, 0, 29, 15, -12, -13, -13, 15, 4],\n [0, 0, 0, 0, 13, -22, 1, -5, -2, 28],\n [0, 0, 0, 0, 0, 26, 4, -19, -23, -6],\n [0, 0, ... | 824 | math | train | 411,281 |
math_arithmetic_matrix_determinant_level_6_6_50 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[25, -29, -19, 28, 26, 29, 24, -24, -29, -23],\n [-22, 27, -4, -3, 6, -16, -12, -1, 20, -18],\n [14, -25, -1, -30, 11, 28, 26, 7, -6, 4],\n [-5, -18, -12, -21, 14, -24, -16, -8, 5, 12],\n [0, -23, 28, -1, 3, 2, -30, -15, 19, -20],\n [-4, -9, 9, -12, 13, -25... | 687 | math | train | 411,282 |
math_arithmetic_matrix_determinant_level_6_6_51 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[6, 26, -22, 4, 8, 14, -5, -4, -10, 14],\n [26, -8, -4, -4, -8, -14, -12, 19, -4, -2],\n [-22, -4, -5, 2, -13, -4, 4, -10, 2, -20],\n [4, -4, 2, -18, -19, -27, -16, 20, 6, 10],\n [8, -8, -13, -19, 11, 4, 2, 20, 18, 15],\n [14, -14, -4, -27, 4, 22, -8, 2, 4,... | 48 | math | train | 411,283 |
math_arithmetic_matrix_determinant_level_6_6_52 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-6, -3, -19, -8, -14, 27, 27, 10, 6, -13],\n [24, -22, 14, 4, 5, 26, -13, -11, -10, 16],\n [-11, 24, -25, -22, 12, -2, -2, -18, 5, -4],\n [16, 26, 18, 13, -25, 8, 26, 1, 18, 12],\n [13, -3, 14, -30, 19, 23, 20, 12, 0, -1],\n [23, -13, -2, 11, 7, -8, -9, -29, -26, ... | 924 | math | train | 411,284 |
math_arithmetic_matrix_determinant_level_6_6_53 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[26, 24, -22, 5, -24, -3, -21, -15, -21, 8],\n [27, -5, 3, 3, 9, -17, -13, -30, -14, 18],\n [-9, 6, -15, -24, -16, 20, -10, -29, 28, 17],\n [-6, -22, -11, 19, -21, 25, 21, -10, -27, -1]... | 339 | math | train | 411,285 |
math_arithmetic_matrix_determinant_level_6_6_54 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[14, 12, 20, 7, -23, 20, 6, 11, 2, -5],\n [0, 27, 25, 8, -23, -13, 8, -17, 21, -13],\n [0, 0, -8, -27, -21, 12, -20, -11, -12, -30],\n [0, 0, 0, 18, -26, 3, -27, -4, 8, 22],\n [0, 0, 0, 0, -30, 27, 21, 22, -15, 27],\n [0, 0, 0, 0, 0, -9, 30, 13, -11, 25],\... | 640 | math | train | 411,286 |
math_arithmetic_matrix_determinant_level_6_6_55 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[20, 14, -19, 26, -4, -5, 17, -2, -8, 18],\n [0, -11, 7, 15, -15, 0, -28, -10, 20, 8],\n [0, 0, 27, 24, -8, 1, 11, -22, -28, -4],\n [0, 0, 0, -7, -8, -22, -29, -25, 6, 4],\n [0, 0, 0, 0, 5, -8, -2, -18, 24, -26],\n [0, 0, 0, 0, 0, 25, 12, -30, -11, 12],\n [0, 0, 0,... | 0 | math | train | 411,287 |
math_arithmetic_matrix_determinant_level_6_6_56 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-7, 25, 2, -23, 28, -3, -12, -20, 24, -21],\n [0, -30, -26, -15, -11, -11, -3, -26, 17, -28],\n [0, 0, 3, 18, 23, -3, -30, 17, -4, 24],\n [0, 0, 0, 1, 21, -24, 12, 7, 3, 15],\n [0, 0, 0, 0, -2, 29, 3, 3, 14, 14],\n [0, 0, 0, 0, 0, 29, -14, -2, 2, 8],\n [0... | 400 | math | train | 411,288 |
math_arithmetic_matrix_determinant_level_6_6_57 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[19, 21, -6, -13, -4, -8, -5, 12, 0, 4],\n [21, -2, 10, 17, -6, 2, 12, -7, -26, -6],\n [-6, 10, 19, 2, -6, 12, 13, -4, 1, -1],\n [-13, 17, 2, -16, 7, -14, -2, -26, -8, 16],\n [-4, -6, -6, 7, 24, -10, 20, -6, 12, 8],\n [-8, 2, 12, -14, -10, 26, 15, 13, 8, -... | 360 | math | train | 411,289 |
math_arithmetic_matrix_determinant_level_6_6_58 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-16, -24, 18, 7, 18, 22, 14, 21, 2, -2],\n [-24, -12, 7, 10, 9, 2, 0, -13, 9, -19],\n [18, 7, -15, -20, -4, 15, 0, 28, 4, -4],\n [7, 10, -20, 20, 28, -21, -6, 18, -8, 10],\n [18, 9, -4, 28, -10, -12, -12, -28, 6, -20],\n [22, 2, 15, -21, -12, 0, 17, 2, 12, -14],\n... | 990 | math | train | 411,290 |
math_arithmetic_matrix_determinant_level_6_6_59 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-27, 18, 7, -2, 18, -5, -6, -17, 6, 19],\n [-3, -23, 11, -20, 23, 30, 4, 28, 0, 3],\n [27, 28, 15, 5, -14, 18, -10, -5, 10, -3],\n [22, -9, 27, 10, -28, -3, 5, -29, 15, -11],\n [9, 19,... | 892 | math | train | 411,291 |
math_arithmetic_matrix_determinant_level_6_6_60 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[14, 30, -29, -5, -13, -29, 9, -28, -14, -7],\n [0, -25, 9, -5, 26, 18, 26, 25, -25, -19],\n [0, 0, -25, 3, 28, -28, 10, -12, -2, 1],\n [0, 0, 0, -2, -18, -11, -3, -4, -18, -6],\n [0, 0, 0, 0, -16, 14, 14, -1, 27, 7],\n [0, 0, 0, 0, 0, 2, -19, -8, -26, 12],... | 0 | math | train | 411,292 |
math_arithmetic_matrix_determinant_level_6_6_61 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 22, 11, -23, -20, -11, -7, 28, 20, -24],\n [29, -10, 13, 22, -25, 0, -19, 6, -18, 18],\n [0, -22, -4, 21, 22, -14, 20, 20, -23, -4],\n [9, 26, 27, -16, 8, -25, 1, 17, -23, 4],\n [0, 11, -... | 564 | math | train | 411,293 |
math_arithmetic_matrix_determinant_level_6_6_62 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[16, -10, -29, -8, -15, -20, 23, 28, -22, -29],\n [-13, -18, 14, -23, -21, -4, -14, -7, -10, -30],\n [-15, 27, 12, 2, -25, -19, 1, 17, 27, -20],\n [-13, -29, 1, 18, 18, -11, -10, 5, 7, ... | 76 | math | train | 411,294 |
math_arithmetic_matrix_determinant_level_6_6_63 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[22, -27, 5, 30, -10, -9, -21, -8, -26, 30],\n [0, 29, -19, 26, -1, 26, 2, 6, -13, -27],\n [0, 0, -8, 27, -25, -24, -12, 15, -16, 22],\n [0, 0, 0, -16, 28, -25, -25, 26, -25, -19],\n [0... | 0 | math | train | 411,295 |
math_arithmetic_matrix_determinant_level_6_6_64 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[4, 11, -4, 14, -1, 8, 15, 27, -1, 28],\n [0, 25, -10, -5, -7, 23, -9, 6, 12, -5],\n [0, 0, 2, -7, -26, -7, 4, 27, -9, 2],\n [0, 0, 0, -1, -5, -18, -25, -28, 30, -20],\n [0, 0, 0, 0, -21, -20, -15, -11, 11, 13],\n [0, 0, 0, 0, 0, -8, -10, 8, -26, 20],\n [0,... | 0 | math | train | 411,296 |
math_arithmetic_matrix_determinant_level_6_6_65 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, -29, -9, 6, 13, -16, -25, 27, 2, -20],\n [0, -19, -7, -28, -1, -12, 14, 30, 12, 24],\n [0, 0, 19, -2, 17, -23, -10, 26, -18, 18],\n [0, 0, 0, -7, 10, -22, -21, -20, 2, 18],\n [0, 0, 0, 0... | 800 | math | train | 411,297 |
math_arithmetic_matrix_determinant_level_6_6_66 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[-12, -2, -20, 14, 6, -3, 8, 18, -25, -19],\n [-2, -13, -10, 14, 20, -9, -2, 3, 6, 18],\n [-20, -10, 29, -10, -15, -14, -8, -2, -18, 8],\n [14, 14, -10, -4, 26, -24, -6, 12, 6, 21],\n [6, 20, -15, 26, 22, 2, 15, 5, 1, 1],\n [-3, -9, -14, -24, 2, -1, 18, -5,... | 542 | math | train | 411,298 |
math_arithmetic_matrix_determinant_level_6_6_67 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[14, -22, -10, 13, 1, 13, -21, -2, 3, 26],\n [0, -26, -20, 27, -3, -7, 3, 22, 11, 9],\n [0, 0, -5, 12, 10, -24, 13, -24, 17, 26],\n [0, 0, 0, 15, 14, 30, -28, 14, 30, -5],\n [0, 0, 0, 0, 16, -28, 7, -2, -6, 15],\n [0, 0, 0, 0, 0, -13, 21, 7, 5, -19],\n [0, ... | 0 | math | train | 411,299 |
math_arithmetic_matrix_determinant_level_6_6_68 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[16, -27, 2, 2, -25, 23, 10, -17, 15, 28],\n [0, -25, 20, -28, 6, -9, 7, -23, -7, -18],\n [0, 0, 20, 22, 10, 5, 1, -26, 18, -24],\n [0, 0, 0, -3, 2, 15, -17, -18, -2, 19],\n [0, 0, 0, 0, 18, -4, -1, 3, 15, -30],\n [0, 0, 0, 0, 0, -13, 4, 19, -12, -18],\n [0, 0, 0, ... | 0 | math | train | 411,300 |
math_arithmetic_matrix_determinant_level_6_6_69 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-28, -13, -10, -2, 21, 22, 11, 21, 5, 0],\n [0, 1, -15, -9, -29, 20, -16, 9, -14, -18],\n [0, 0, -6, -21, 14, -20, 2, -17, 3, -9],\n [0, 0, 0, -5, -30, -21, 5, -29, -2, -6],\n [0, 0, 0, 0, 2... | 840 | math | train | 411,301 |
math_arithmetic_matrix_determinant_level_6_6_70 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, 3, -21, 2, 20, 24, -12, -29, 16, 18],\n [0, -1, 8, -12, -10, 28, 23, 13, -17, 0],\n [0, 0, 22, 20, -7, 6, 9, 10, 3, 16],\n [0, 0, 0, 18, 11, -19, 10, 27, 29, -7],\n [0, 0, 0, 0, 7, -10, 2... | 800 | math | train | 411,302 |
math_arithmetic_matrix_determinant_level_6_6_71 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-15, -20, -26, 7, -28, 28, -29, 22, 7, -21],\n [0, -10, 0, 3, 18, 1, -2, 27, 23, -30],\n [0, 0, -14, 3, 18, -15, -24, 5, -18, -11],\n [0, 0, 0, 29, -22, 12, -19, -17, -16, -26],\n [0, 0, 0, 0, -6, -27, 20, -5, -20, -25],\n [0, 0, 0, 0, 0, -9, 4, 25, 0, -2... | 800 | math | train | 411,303 |
math_arithmetic_matrix_determinant_level_6_6_72 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[4, 10, 22, 16, -22, -20, -8, 5, -18, -6],\n [10, 9, -6, -7, 6, -16, -27, -26, -18, 18],\n [22, -6, -17, -22, -18, 16, -1, -22, 7, 11],\n [16, -7, -22, 24, 18, -20, 24, -4, 19, -20],\n [-22, 6, -18, 18, 30, -14, 12, -8, 4, 10],\n [-20, -16, 16, -20, -14, 7, -8, 0, ... | 821 | math | train | 411,304 |
math_arithmetic_matrix_determinant_level_6_6_73 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-24, 8, -2, 2, 26, 18, 25, -4, -15, -14],\n [-20, -17, -18, 4, -5, 21, -6, 9, 13, 30],\n [12, 28, -19, 16, 22, -27, 11, 17, 10, 18],\n [-4, 23, 14, -23, 24, -23, -2, -28, -10, 0],\n [-18, 0, -14, 17, 1, -7, -29, 11, -28, -5],\n [-29, 2, 3, -5, 3, 7, -17, 0, -11, -... | 945 | math | train | 411,305 |
math_arithmetic_matrix_determinant_level_6_6_74 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 2, 11, 2, -14, -15, -26, 4, 10, 14],\n [2, -25, 28, 0, -6, -4, -6, 28, 4, -6],\n [11, 28, -27, 5, 8, 22, 16, -12, -2, 12],\n [2, 0, 5, 5, 2, 26, -1, 0, -7, -19],\n [-14, -6, 8, 2, ... | 792 | math | train | 411,306 |
math_arithmetic_matrix_determinant_level_6_6_75 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 25, 6, -6, 7, -21, -23, -9, 2, -22],\n [25, 3, 20, -18, -2, -18, 14, 17, 19, -19],\n [6, 20, -2, -2, -9, 14, 1, 9, -20, 10],\n [-6, -18, -2, -26, -2, 0, 2, 20, 0, -4],\n [7, -2, -9, -2, ... | 673 | math | train | 411,307 |
math_arithmetic_matrix_determinant_level_6_6_76 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[15, 24, 5, -1, -20, -1, 28, -9, 22, -29],\n [0, -6, 14, -23, 1, 13, -24, 28, -9, -2],\n [0, 0, 7, 12, 18, -16, 23, 24, -11, -5],\n [0, 0, 0, 18, 21, 11, -27, -27, 17, -30],\n [0, 0, 0, 0, -24, 3, 30, -27, -29, -8],\n [0, 0, 0, 0, 0, 11, 4, 10, -4, -7],\n [0, 0, 0,... | 0 | math | train | 411,308 |
math_arithmetic_matrix_determinant_level_6_6_77 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[30, -13, -6, 7, -29, -10, -8, 2, -4, 30],\n [0, 12, -2, 16, 7, -14, -23, 30, -10, -8],\n [0, 0, -13, 13, -23, 21, -7, -22, -2, -20],\n [0, 0, 0, -27, 15, -7, 18, -29, -19, -19],\n [0, ... | 200 | math | train | 411,309 |
math_arithmetic_matrix_determinant_level_6_6_78 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, 1, -7, -29, 0, -24, 20, -10, 7, -19],\n [0, 17, -15, -9, -20, 8, -17, 11, -18, -15],\n [0, 0, -13, -16, -13, 16, -20, -20, 20, 8],\n [0, 0, 0, 29, -25, 15, -26, 2, -10, 22],\n [0, 0, 0, ... | 800 | math | train | 411,310 |
math_arithmetic_matrix_determinant_level_6_6_79 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-3, -18, 3, 15, -13, -7, -1, 19, -21, -29],\n [0, 24, -2, -30, -14, -9, 28, -5, 25, -21],\n [0, 0, -11, -9, 26, 21, 17, 25, -7, -9],\n [0, 0, 0, -29, 27, 11, 6, -27, 6, -10],\n [0, 0, 0, 0, 16, -16, -9, -30, 21, -5],\n [0, 0, 0, 0, 0, 26, -30, -19, 10, 30],\n [0, ... | 256 | math | train | 411,311 |
math_arithmetic_matrix_determinant_level_6_6_80 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[-24, 18, -25, 17, 30, -8, 9, -18, 26, -9],\n [0, -13, 2, 28, 28, -20, -24, 22, 9, 13],\n [0, 0, -30, 8, 18, -6, 3, -5, 13, 30],\n [0, 0, 0, -6, 29, 27, -25, 21, -4, -27],\n [0, 0, 0, 0, 11, 6, 19, -3, 5, -10],\n [0, 0, 0, 0, 0, 3, 16, 18, -7, 3],\n [0, 0,... | 0 | math | train | 411,312 |
math_arithmetic_matrix_determinant_level_6_6_81 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[28, 28, 14, 22, 20, -24, 12, 27, -11, -21],\n [0, -16, -8, -21, -27, 2, -19, -22, -4, 27],\n [0, 0, -16, -24, -5, -23, -26, -29, -29, -21],\n [0, 0, 0, -15, -24, -19, -27, 22, 0, 1],\n... | 800 | math | train | 411,313 |
math_arithmetic_matrix_determinant_level_6_6_82 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[11, 29, 2, 5, -1, -8, 22, -28, 26, -22],\n [-28, 15, -22, -12, -9, -17, 19, 0, 17, 3],\n [23, 29, 22, 22, -8, 2, 23, 10, -3, -10],\n [-5, -21, -8, -28, -21, 14, 9, 28, -30, -3],\n [-18, 27, 8, 16, 23, 12, -17, 27, 7, -30],\n [-29, -25, -13, 21, 23, -13, -9, 16, -1... | 220 | math | train | 411,314 |
math_arithmetic_matrix_determinant_level_6_6_83 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[6, -20, 18, -2, -18, -23, 30, -7, 29, -2],\n [-30, -18, 23, -6, 6, -24, -9, 2, 16, -16],\n [-28, 24, 30, -23, 8, 17, -30, -19, 0, -3],\n [-12, -13, 21, -18, 4, 26, 23, 7, -9, 26],\n [10, 10, -18, 5, 23, 10, 16, 16, -25, -23],\n [-7, 6, -15, -12, 7, 22, 15... | 557 | math | train | 411,315 |
math_arithmetic_matrix_determinant_level_6_6_84 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 0, 6, -18, -11, -2, 0, -7, -28, 14],\n [0, 28, 30, 20, -25, 25, 4, -18, 27, 19],\n [0, 0, -18, 11, 22, 14, 25, 13, -3, -27],\n [0, 0, 0, 18, 6, -13, -29, 25, 19, 2],\n [0, 0, 0, 0, -15, ... | 480 | math | train | 411,316 |
math_arithmetic_matrix_determinant_level_6_6_85 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[12, 23, 2, -13, -9, 13, 10, 6, 15, -13],\n [0, -25, -3, -29, -16, 15, -20, -20, -5, -4],\n [0, 0, 25, -23, 23, 15, 28, -11, 3, -5],\n [0, 0, 0, 22, 10, -2, -20, -23, -1, -16],\n [0, 0, 0, 0, -20, 21, 17, 20, 15, -22],\n [0, 0, 0, 0, 0, 11, -8, -7, -12, -21],\n [0,... | 0 | math | train | 411,317 |
math_arithmetic_matrix_determinant_level_6_6_86 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, -2, -1, 16, -10, 20, -17, 22, -3, -8],\n [-2, 5, 7, 28, 24, 4, 12, -22, 18, 14],\n [-1, 7, -15, 16, 12, 4, 4, -22, 2, 14],\n [16, 28, 16, 30, 8, 4, 14, -5, 2, 12],\n [-10, 24, 12, 8, -8... | 547 | math | train | 411,318 |
math_arithmetic_matrix_determinant_level_6_6_87 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Compute |A| for the matrix A =\n[[-16, 20, -27, -21, -1, 8, 15, -19, 11, 8],\n [-23, 28, 30, -25, -14, -8, 19, -24, 2, 22],\n [-24, 1, 21, -2, -1, 25, -18, 23, 7, 16],\n [28, -13, -1, -10, 7, -1, -13, 3, -2, 18],\n [14, 20, -11, 0, 16, 5, -12, -18, -18, 14],\n [-25, 26, -8, -3, -30, 16, 24, 24, 19... | 847 | math | train | 411,319 |
math_arithmetic_matrix_determinant_level_6_6_88 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-25, 12, 4, -1, 14, -2, 12, -24, 12, -11],\n [12, 28, 8, -23, 22, -16, 0, 3, 16, -26],\n [4, 8, -27, -6, -19, -16, -2, -28, 8, 12],\n [-1, -23, -6, -13, 18, -4, -2, -6, -14, -8],\n [14... | 756 | math | train | 411,320 |
math_arithmetic_matrix_determinant_level_6_6_89 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, -6, -18, 29, -20, 6, -23, -4, -11, 25],\n [3, -27, -16, -18, 18, -9, -5, 19, 21, 30],\n [29, -22, -26, -1, -27, 0, -17, -6, 18, -3],\n [-16, 17, -28, 0, -18, -22, -29, -8, 17, 2],... | 71 | math | train | 411,321 |
math_arithmetic_matrix_determinant_level_6_6_90 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 9, 28, 19, -18, 1, -22, 6, 11, 8],\n [0, 3, -21, -7, -21, 14, -5, 3, 6, -27],\n [0, 0, -6, -20, 15, 24, -11, -7, 16, 0],\n [0, 0, 0, 13, 26, -8, 25, 22, -14, -29],\n [0, 0, 0, 0, -14, 22... | 840 | math | train | 411,322 |
math_arithmetic_matrix_determinant_level_6_6_91 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[-14, -6, 18, 6, -14, -4, 0, -17, 22, 5],\n [-9, 25, 26, -26, 9, -25, 9, -26, -7, -9],\n [-17, -6, -11, -30, 18, 4, 6, 27, 21, -3],\n [-2, 27, 27, 9, -23, -13, 0, -10, -25, -22],\n [-1, 13, -13, -1, 26, -11, 29, 24, 28, -21],\n [25, -18, 10, -29, 24, -26, 2... | 772 | math | train | 411,323 |
math_arithmetic_matrix_determinant_level_6_6_92 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[21, 19, 15, 3, -21, -12, 28, 8, -20, 9],\n [9, 5, -8, 24, 13, 7, -6, 13, 18, 14],\n [-10, 7, -4, -29, -25, 4, -22, -11, 24, 21],\n [2, 16, -2, -4, -30, -18, -28, -30, -11, 9],\n [27, -5, -19, -25, 23, 19, -22, 25, 24, 5],\n [-11, -21, -21, 0, -11, -6, 14,... | 883 | math | train | 411,324 |
math_arithmetic_matrix_determinant_level_6_6_93 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[24, 18, -20, 25, 24, 11, 21, 16, -18, -5],\n [-1, -11, -23, 27, 12, -11, 15, -20, -3, -20],\n [-22, 5, -4, -25, -3, -18, 14, -8, 16, -20],\n [24, -10, 8, -7, -20, 14, -5, 17, 11, -11],... | 950 | math | train | 411,325 |
math_arithmetic_matrix_determinant_level_6_6_94 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[-10, 7, 17, 2, -15, -28, 25, -28, 4, -8],\n [0, -7, 6, 30, 24, -18, -16, -24, -7, 19],\n [0, 0, 22, -12, -28, -26, 19, 6, 12, 21],\n [0, 0, 0, 18, -11, -15, 13, 17, -24, 3],\n [0, 0, 0, 0, -21, 11, 13, -23, -10, 14],\n [0, 0, 0, 0, 0, 12, -2, 29, -11, -14]... | 80 | math | train | 411,326 |
math_arithmetic_matrix_determinant_level_6_6_95 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, -3, -5, 25, -6, 14, 30, 17, 14, 13],\n [0, 15, 10, -4, 8, -11, 0, -19, -6, 3],\n [0, 0, 12, 18, 4, 24, 9, 8, 17, 27],\n [0, 0, 0, -5, -4, 3, -10, -24, 1, -25],\n [0, 0, 0, 0, -28,... | 0 | math | train | 411,327 |
math_arithmetic_matrix_determinant_level_6_6_96 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[11, 12, 0, -22, -12, -8, 14, -3, -6, 16],\n [12, -8, 15, 16, -16, -3, 0, 16, 6, -16],\n [0, 15, 4, 18, 4, 14, -6, 6, 5, 1],\n [-22, 16, 18, 30, 2, 4, 12, -3, 8, 12],\n [-12, -16, 4, 2, -8, 22, 2, 13, 10, -4],\n [-8, -3, 14, 4, 22, -15, -6, -10, 18, 0],\n ... | 510 | math | train | 411,328 |
math_arithmetic_matrix_determinant_level_6_6_97 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "What is the determinant of the matrix:\n[[-13, 12, -14, -19, 30, 5, -7, -10, 14, 27],\n [0, -14, -30, -20, -16, 14, -19, 8, -25, 11],\n [0, 0, -10, 13, -30, -8, -12, 3, -19, 23],\n [0, 0, 0, -23, 7, -21, 12, -17, -12, -23],\n [0, 0, 0, 0, 25, -21, -2, 2, 17, -16],\n [0, 0, 0, 0, 0, 25, -25, -10, 3... | 0 | math | train | 411,329 |
math_arithmetic_matrix_determinant_level_6_6_98 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Determine the value of det(A) where A =\n[[13, -11, 15, -26, 12, -6, -13, 5, 25, -15],\n [-28, 19, -12, 17, 8, -1, -22, 22, 27, -29],\n [12, 15, 28, -8, 4, -24, -25, -30, 15, 11],\n [-2, -26, -18, 28, -16, -30, -8, 12, 23, -18],\n [10, -20, -19, 0, -11, -22, -10, -18, -26, 6],\n [-2, -1, 11, 6, -2... | 780 | math | train | 411,330 |
math_arithmetic_matrix_determinant_level_6_6_99 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | [
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 17, -20, -14, -15, -7, 2, 27, 18, 11],\n [0, -29, 26, 19, -5, 29, -2, -19, -28, -13],\n [0, 0, 9, 19, -1, 8, 11, 4, 18, -22],\n [0, 0, 0, 24, 10, 19, 18, -11, 17, -14],\n [0, 0, 0,... | 440 | math | train | 411,331 |
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