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 | 120 | 32 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 33 | 4.304381 | Solve this system for x:
4.304380714504361x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 34 | 4.12941 | Solve this system for x:
4.129409522551261x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 35 | 3.934737 | Solve this system for x:
3.934736903889975x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 36 | 3.75 | Solve this system for x:
3.7500000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 37 | 3.603323 | Solve this system for x:
3.603323329854382x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 38 | 3.517037 | Solve this system for x:
3.517037086855466x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 39 | 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 | 120 | 40 | 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 | 4 | 120 | 41 | 3.695619 | Solve this system for x:
3.6956192854956393x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 42 | 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 | 120 | 43 | 4.065263 | Solve this system for x:
4.065263096110026x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 44 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 45 | 4.396677 | Solve this system for x:
4.3966766701456175x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 46 | 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 | 120 | 47 | 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 | 120 | 48 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 49 | 4.304381 | Solve this system for x:
4.304380714504361x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 50 | 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 | 4 | 120 | 51 | 3.934737 | Solve this system for x:
3.9347369038899744x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 52 | 3.75 | Solve this system for x:
3.749999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 53 | 3.603323 | Solve this system for x:
3.603323329854382x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 54 | 3.517037 | Solve this system for x:
3.517037086855466x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 55 | 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 | 120 | 56 | 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 | 4 | 120 | 57 | 3.695619 | Solve this system for x:
3.6956192854956393x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 58 | 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 | 120 | 59 | 4.065263 | Solve this system for x:
4.065263096110026x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 60 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 61 | 4.396677 | Solve this system for x:
4.3966766701456175x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 62 | 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 | 120 | 63 | 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 | 8 | 120 | 0 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 1 | 4.12941 | Solve this system for x:
4.129409522551261x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 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 | 120 | 3 | 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 | 120 | 4 | 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 | 120 | 5 | 3.87059 | Solve this system for x:
3.8705904774487396x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 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 | 120 | 7 | 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 | 120 | 8 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 9 | 4.12941 | Solve this system for x:
4.129409522551261x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 10 | 3.75 | Solve this system for x:
3.7500000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 11 | 3.517037 | Solve this system for x:
3.517037086855466x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 12 | 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 | 120 | 13 | 3.87059 | Solve this system for x:
3.8705904774487396x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 14 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 15 | 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 | 120 | 16 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 17 | 4.12941 | Solve this system for x:
4.129409522551261x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 18 | 3.75 | Solve this system for x:
3.7500000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 19 | 3.517037 | Solve this system for x:
3.517037086855466x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 20 | 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 | 120 | 21 | 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 | 120 | 22 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 23 | 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 | 120 | 24 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 25 | 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 | 120 | 26 | 3.75 | Solve this system for x:
3.749999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 27 | 3.517037 | Solve this system for x:
3.517037086855466x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 28 | 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 | 120 | 29 | 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 | 120 | 30 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 31 | 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 | 120 | 32 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 33 | 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 | 120 | 34 | 3.75 | Solve this system for x:
3.749999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 35 | 3.517037 | Solve this system for x:
3.517037086855466x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 36 | 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 | 120 | 37 | 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 | 120 | 38 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 39 | 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 | 120 | 40 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 41 | 4.12941 | Solve this system for x:
4.1294095225512635x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 42 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 43 | 3.517037 | Solve this system for x:
3.5170370868554666x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 44 | 3.566987 | Solve this system for x:
3.5669872981077786x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 45 | 3.87059 | Solve this system for x:
3.8705904774487383x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 46 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 47 | 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 | 120 | 48 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 49 | 4.12941 | Solve this system for x:
4.1294095225512635x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 50 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 51 | 3.517037 | Solve this system for x:
3.5170370868554666x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 52 | 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 | 120 | 53 | 3.87059 | Solve this system for x:
3.8705904774487383x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 54 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 55 | 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 | 120 | 56 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 57 | 4.12941 | Solve this system for x:
4.1294095225512635x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 58 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 59 | 3.517037 | Solve this system for x:
3.5170370868554666x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 60 | 3.566987 | Solve this system for x:
3.5669872981077786x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 61 | 3.87059 | Solve this system for x:
3.870590477448738x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 62 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 120 | 63 | 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 | 16 | 120 | 0 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 1 | 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 | 16 | 120 | 2 | 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 | 16 | 120 | 3 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
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