token_ids stringlengths 48 56.6k | text stringlengths 332 50.2k | stop_token_id int64 271 4.71k | stop_token_text stringclasses 8
values | stop_token_idx int64 10 13.1k |
|---|---|---|---|---|
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382 | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 47 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 176 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 183 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 268 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 3,593 | ).
| 365 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 1,939 | ?
| 374 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 535 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 666 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 1,447 | :
| 919 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 1,447 | :
| 943 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 271 | 993 | |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 271 | 1,030 | |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 271 | 1,057 | |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 271 | 1,083 | |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 692 | )
| 1,192 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 1,228 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 1,325 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 1,345 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 1,382 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 1,939 | ?
| 1,488 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 1,447 | :
| 1,492 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 1,521 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 1,877 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 1,939 | ?
| 1,931 |
71486,11,773,358,1184,311,7071,700,1246,1657,24438,5109,1948,220,15,323,220,16,614,264,1985,315,279,63533,323,46912,320,9309,5326,304,15457,3793,8,6144,311,220,17,15,52962,13,6771,752,1191,553,8660,279,3491,382,5338,11,264,24438,1372,1948,220,15,323,220,16,646,387,5326,438,264,19419,1124,11520,37018,90,64,15170,65,1103... | <｜begin▁of▁sentence｜><｜User｜>Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?
Please reason step by step, and put your final answer within \boxed{... | 382 | .
| 2,059 |
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