family stringclasses 1 value | question_id int64 0 2 | signal_type stringclasses 2 values | amplitude_scale float64 0.5 2.5 | frequency_cycles float64 1 16 | phase_deg float64 0 240 ⌀ | time_step int64 0 255 | p_value float64 3.5 4.5 | prompt stringlengths 59 76 | ground_truth float64 0.52 2.33 | symbolic_baseline_answer float64 0.52 2.33 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 12 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 13 | 4.065263 | Solve this system for x:
4.0652630961100265x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 14 | 3.87059 | Solve this system for x:
3.87059047744874x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 15 | 3.695619 | Solve this system for x:
3.69561928549564x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 16 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 17 | 3.504278 | Solve this system for x:
3.5042775693130945x + 2y = 8
1x + 3y = 9
FINAL: | 0.704818 | 0.704818 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 18 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 19 | 3.603323 | Solve this system for x:
3.6033233298543816x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 20 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 21 | 3.934737 | Solve this system for x:
3.9347369038899735x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 22 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 23 | 4.304381 | Solve this system for x:
4.30438071450436x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 24 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 25 | 4.495722 | Solve this system for x:
4.4957224306869055x + 2y = 8
1x + 3y = 9
FINAL: | 0.522322 | 0.522322 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 26 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 27 | 4.396677 | Solve this system for x:
4.396676670145618x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 28 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 29 | 4.065263 | Solve this system for x:
4.0652630961100265x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 30 | 3.87059 | Solve this system for x:
3.870590477448741x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 31 | 3.695619 | Solve this system for x:
3.69561928549564x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 32 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 33 | 3.504278 | Solve this system for x:
3.5042775693130945x + 2y = 8
1x + 3y = 9
FINAL: | 0.704818 | 0.704818 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 34 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 35 | 3.603323 | Solve this system for x:
3.6033233298543816x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 36 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 37 | 3.934737 | Solve this system for x:
3.9347369038899735x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 38 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 39 | 4.304381 | Solve this system for x:
4.30438071450436x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 40 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 41 | 4.495722 | Solve this system for x:
4.495722430686905x + 2y = 8
1x + 3y = 9
FINAL: | 0.522322 | 0.522322 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 42 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 43 | 4.396677 | Solve this system for x:
4.396676670145618x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 44 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 45 | 4.065263 | Solve this system for x:
4.0652630961100265x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 46 | 3.87059 | Solve this system for x:
3.870590477448741x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 47 | 3.695619 | Solve this system for x:
3.69561928549564x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 48 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 49 | 3.504278 | Solve this system for x:
3.504277569313095x + 2y = 8
1x + 3y = 9
FINAL: | 0.704818 | 0.704818 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 50 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 51 | 3.603323 | Solve this system for x:
3.6033233298543816x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 52 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 53 | 3.934737 | Solve this system for x:
3.9347369038899735x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 54 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 55 | 4.304381 | Solve this system for x:
4.30438071450436x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 56 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 57 | 4.495722 | Solve this system for x:
4.495722430686905x + 2y = 8
1x + 3y = 9
FINAL: | 0.522322 | 0.522322 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 58 | 4.482963 | Solve this system for x:
4.482962913144535x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 59 | 4.396677 | Solve this system for x:
4.396676670145618x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 60 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 61 | 4.065263 | Solve this system for x:
4.0652630961100265x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 62 | 3.87059 | Solve this system for x:
3.870590477448741x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 4 | 240 | 63 | 3.695619 | Solve this system for x:
3.6956192854956402x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 0 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 1 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 2 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 3 | 4.12941 | Solve this system for x:
4.12940952255126x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 4 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 5 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 6 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 7 | 3.87059 | Solve this system for x:
3.87059047744874x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 8 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 9 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 10 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 11 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 12 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 13 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 14 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 15 | 3.87059 | Solve this system for x:
3.870590477448741x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 16 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 17 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 18 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 19 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 20 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 21 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 22 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 23 | 3.87059 | Solve this system for x:
3.870590477448741x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 24 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 25 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 26 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 27 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 28 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 29 | 4.482963 | Solve this system for x:
4.482962913144535x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 30 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 31 | 3.87059 | Solve this system for x:
3.870590477448741x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 32 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 33 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 34 | 3.75 | Solve this system for x:
3.7499999999999996x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 35 | 4.12941 | Solve this system for x:
4.129409522551259x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 36 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 37 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 38 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 39 | 3.87059 | Solve this system for x:
3.8705904774487414x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 40 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 41 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 42 | 3.75 | Solve this system for x:
3.7500000000000013x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 43 | 4.12941 | Solve this system for x:
4.12940952255126x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 44 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 45 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 46 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 47 | 3.87059 | Solve this system for x:
3.870590477448738x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
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