id
stringlengths 26
62
| setting_key
stringclasses 41
values | messages
listlengths 1
1
| ground_truth
stringlengths 1
9
| dataset
stringclasses 1
value | omega_config
stringclasses 41
values | omega_split
stringclasses 2
values |
|---|---|---|---|---|---|---|
numbertheory_qr_sum_test_out_032
|
numbertheory_qr_sum
|
[
{
"content": "let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 9, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_033
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 11. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
777777
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_034
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 3-digit positive integer with the property that whenever one of its digits changes to 2, the resulting number is a multiple of 2. Let S be the LCM of the digits of N. let M be the largest 4-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 1000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
432
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_035
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 4, the resulting number is a multiple of 3. Let S be the LCM of the digits of N. let M be the largest 3-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 100. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_036
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 6-digit positive integer with the property that whenever one of its digits changes to 9, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_037
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 9. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999981
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_038
|
numbertheory_qr_sum
|
[
{
"content": "let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 6. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100005
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_039
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 6. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999960
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_040
|
numbertheory_qr_sum
|
[
{
"content": "let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 9, the resulting number is a multiple of 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_041
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 5. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100050
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_042
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 4. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999880
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_043
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 5. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999905
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_044
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 9. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100089
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_045
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 4, the resulting number is a multiple of 4. Let S be the LCM of the digits of N. let M be the largest 3-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 100. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_046
|
numbertheory_qr_sum
|
[
{
"content": "let N be the greatest 6-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 13. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_047
|
numbertheory_qr_sum
|
[
{
"content": "let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_048
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 10. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100090
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_049
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 1, the resulting number is a multiple of 3. Let S be the LCM of the digits of N. let M be the largest 3-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 100. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_050
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 7. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999933
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_051
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 9. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100026
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_052
|
numbertheory_qr_sum
|
[
{
"content": "let N be the greatest 6-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_053
|
numbertheory_qr_sum
|
[
{
"content": "let N be the greatest 6-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_054
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 4-digit positive integer with the property that whenever one of its digits changes to 4, the resulting number is a multiple of 2. Let S be the LCM of the digits of N. let M be the largest 5-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 10000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8856
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_055
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 6-digit positive integer with the property that whenever one of its digits changes to 6, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_056
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 3-digit positive integer with the property that whenever one of its digits changes to 3, the resulting number is a multiple of 3. Let S be the LCM of the digits of N. let M be the largest 4-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 1000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_057
|
numbertheory_qr_sum
|
[
{
"content": "let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 5, the resulting number is a multiple of 5. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100004
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_058
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 6. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100056
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_059
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 3-digit positive integer with the property that whenever one of its digits changes to 1, the resulting number is a multiple of 3. Let S be the LCM of the digits of N. let M be the largest 4-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 1000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
963
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_060
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 5. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999954
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_061
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 10. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999904
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_062
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 7. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999929
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_063
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 7. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100067
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_064
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 3. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100029
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_065
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 6-digit positive integer with the property that whenever one of its digits changes to 3, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_066
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 4-digit positive integer with the property that whenever one of its digits changes to 3, the resulting number is a multiple of 3. Let S be the LCM of the digits of N. let M be the largest 5-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 10000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_067
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 4. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100038
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_068
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 2, the resulting number is a multiple of 4. Let S be the LCM of the digits of N. let M be the largest 3-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 100. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_069
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 6-digit positive integer with the property that whenever one of its digits changes to 9, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_070
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 10. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100200
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_071
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth smallest 6-digit positive integer with the property that the sum of the digits of n is divisible by 8. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100078
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_072
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 3. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_073
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third greatest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 8. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
998808
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_074
|
numbertheory_qr_sum
|
[
{
"content": "let N be the greatest 6-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 5. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100000
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_075
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 12. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999885
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_076
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 3. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999972
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_077
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 11. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
333333
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_078
|
numbertheory_qr_sum
|
[
{
"content": "let N be the greatest 6-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_079
|
numbertheory_qr_sum
|
[
{
"content": "let N be the smallest 6-digit positive integer with the property that whenever one of its digits changes to 9, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_080
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 6. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999942
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_081
|
numbertheory_qr_sum
|
[
{
"content": "let N be the maximum 4-digit positive integer with the property that whenever one of its digits changes to 2, the resulting number is a multiple of 2. Let S be the LCM of the digits of N. let M be the largest 5-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by S. Let Q and R be the quotient and remainder, respectively, when M is divided by 10000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8856
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_082
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 12. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100080
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_083
|
numbertheory_qr_sum
|
[
{
"content": "let N be the third smallest 6-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 8. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100080
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_084
|
numbertheory_qr_sum
|
[
{
"content": "let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 3, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100008
|
math
|
numbertheory_qr_sum
|
test_out
|
numbertheory_qr_sum_test_out_085
|
numbertheory_qr_sum
|
[
{
"content": "let N be the tenth greatest 6-digit positive integer with the property that the sum of the digits of n is divisible by 9. Find N.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999918
|
math
|
numbertheory_qr_sum
|
test_out
|
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