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 | 1 | 120 | 60 | 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 | 1 | 120 | 61 | 4.486938 | Solve this system for x:
4.486938489638667x + 2y = 8
1x + 3y = 9
FINAL: | 0.523523 | 0.523523 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 62 | 4.473465 | Solve this system for x:
4.473465064747553x + 2y = 8
1x + 3y = 9
FINAL: | 0.525376 | 0.525376 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 63 | 4.455432 | Solve this system for x:
4.455431912460588x + 2y = 8
1x + 3y = 9
FINAL: | 0.527876 | 0.527876 |
linear_system | 1 | sinusoid | 2.5 | 2 | 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 | 2 | 120 | 1 | 4.37592 | Solve this system for x:
4.375919903739489x + 2y = 8
1x + 3y = 9
FINAL: | 0.539192 | 0.539192 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 2 | 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 | 2 | 120 | 3 | 4.221144 | Solve this system for x:
4.221144345109501x + 2y = 8
1x + 3y = 9
FINAL: | 0.562671 | 0.562671 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 4 | 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 | 2 | 120 | 5 | 4.032702 | Solve this system for x:
4.0327015646150715x + 2y = 8
1x + 3y = 9
FINAL: | 0.594171 | 0.594171 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 6 | 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 | 2 | 120 | 7 | 3.83928 | Solve this system for x:
3.8392802673484194x + 2y = 8
1x + 3y = 9
FINAL: | 0.630395 | 0.630395 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 8 | 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 | 2 | 120 | 9 | 3.670327 | Solve this system for x:
3.670327092449966x + 2y = 8
1x + 3y = 9
FINAL: | 0.665854 | 0.665854 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 10 | 3.603323 | Solve this system for x:
3.6033233298543825x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 11 | 3.551564 | Solve this system for x:
3.551563629233656x + 2y = 8
1x + 3y = 9
FINAL: | 0.693266 | 0.693266 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 12 | 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 | 2 | 120 | 13 | 3.501071 | Solve this system for x:
3.501070538380698x + 2y = 8
1x + 3y = 9
FINAL: | 0.705616 | 0.705616 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 14 | 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 | 2 | 120 | 15 | 3.526535 | Solve this system for x:
3.5265349352524473x + 2y = 8
1x + 3y = 9
FINAL: | 0.699333 | 0.699333 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 16 | 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 | 2 | 120 | 17 | 3.62408 | Solve this system for x:
3.6240800962605113x + 2y = 8
1x + 3y = 9
FINAL: | 0.676267 | 0.676267 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 18 | 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 | 2 | 120 | 19 | 3.778856 | Solve this system for x:
3.778855654890499x + 2y = 8
1x + 3y = 9
FINAL: | 0.642634 | 0.642634 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 20 | 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 | 2 | 120 | 21 | 3.967298 | Solve this system for x:
3.967298435384928x + 2y = 8
1x + 3y = 9
FINAL: | 0.605945 | 0.605945 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 22 | 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 | 2 | 120 | 23 | 4.16072 | Solve this system for x:
4.160719732651581x + 2y = 8
1x + 3y = 9
FINAL: | 0.572401 | 0.572401 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 24 | 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 | 2 | 120 | 25 | 4.329673 | Solve this system for x:
4.329672907550035x + 2y = 8
1x + 3y = 9
FINAL: | 0.546 | 0.546 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 26 | 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 | 2 | 120 | 27 | 4.448436 | Solve this system for x:
4.448436370766344x + 2y = 8
1x + 3y = 9
FINAL: | 0.528853 | 0.528853 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 28 | 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 | 2 | 120 | 29 | 4.498929 | Solve this system for x:
4.498929461619301x + 2y = 8
1x + 3y = 9
FINAL: | 0.521885 | 0.521885 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 30 | 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 | 2 | 120 | 31 | 4.473465 | Solve this system for x:
4.473465064747553x + 2y = 8
1x + 3y = 9
FINAL: | 0.525376 | 0.525376 |
linear_system | 1 | sinusoid | 2.5 | 2 | 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 | 2 | 120 | 33 | 4.37592 | Solve this system for x:
4.375919903739488x + 2y = 8
1x + 3y = 9
FINAL: | 0.539192 | 0.539192 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 34 | 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 | 2 | 120 | 35 | 4.221144 | Solve this system for x:
4.221144345109501x + 2y = 8
1x + 3y = 9
FINAL: | 0.562671 | 0.562671 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 36 | 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 | 2 | 120 | 37 | 4.032702 | Solve this system for x:
4.032701564615072x + 2y = 8
1x + 3y = 9
FINAL: | 0.594171 | 0.594171 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 38 | 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 | 2 | 120 | 39 | 3.83928 | Solve this system for x:
3.8392802673484194x + 2y = 8
1x + 3y = 9
FINAL: | 0.630395 | 0.630395 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 40 | 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 | 2 | 120 | 41 | 3.670327 | Solve this system for x:
3.6703270924499662x + 2y = 8
1x + 3y = 9
FINAL: | 0.665854 | 0.665854 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 42 | 3.603323 | Solve this system for x:
3.6033233298543825x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 43 | 3.551564 | Solve this system for x:
3.551563629233656x + 2y = 8
1x + 3y = 9
FINAL: | 0.693266 | 0.693266 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 44 | 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 | 2 | 120 | 45 | 3.501071 | Solve this system for x:
3.501070538380698x + 2y = 8
1x + 3y = 9
FINAL: | 0.705616 | 0.705616 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 46 | 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 | 2 | 120 | 47 | 3.526535 | Solve this system for x:
3.526534935252447x + 2y = 8
1x + 3y = 9
FINAL: | 0.699333 | 0.699333 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 48 | 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 | 2 | 120 | 49 | 3.62408 | Solve this system for x:
3.624080096260511x + 2y = 8
1x + 3y = 9
FINAL: | 0.676267 | 0.676267 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 50 | 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 | 2 | 120 | 51 | 3.778856 | Solve this system for x:
3.778855654890499x + 2y = 8
1x + 3y = 9
FINAL: | 0.642634 | 0.642634 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 52 | 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 | 2 | 120 | 53 | 3.967298 | Solve this system for x:
3.967298435384928x + 2y = 8
1x + 3y = 9
FINAL: | 0.605945 | 0.605945 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 54 | 4.065263 | Solve this system for x:
4.065263096110025x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 55 | 4.16072 | Solve this system for x:
4.160719732651581x + 2y = 8
1x + 3y = 9
FINAL: | 0.572401 | 0.572401 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 56 | 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 | 2 | 120 | 57 | 4.329673 | Solve this system for x:
4.329672907550034x + 2y = 8
1x + 3y = 9
FINAL: | 0.546 | 0.546 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 58 | 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 | 2 | 120 | 59 | 4.448436 | Solve this system for x:
4.448436370766344x + 2y = 8
1x + 3y = 9
FINAL: | 0.528853 | 0.528853 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 60 | 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 | 2 | 120 | 61 | 4.498929 | Solve this system for x:
4.498929461619301x + 2y = 8
1x + 3y = 9
FINAL: | 0.521885 | 0.521885 |
linear_system | 1 | sinusoid | 2.5 | 2 | 120 | 62 | 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 | 2 | 120 | 63 | 4.473465 | Solve this system for x:
4.473465064747553x + 2y = 8
1x + 3y = 9
FINAL: | 0.525376 | 0.525376 |
linear_system | 1 | sinusoid | 2.5 | 4 | 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 | 4 | 120 | 1 | 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 | 2 | 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 | 3 | 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 | 4 | 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 | 120 | 5 | 3.603323 | Solve this system for x:
3.6033233298543825x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 6 | 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 | 120 | 7 | 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 | 8 | 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 | 4 | 120 | 9 | 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 | 10 | 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 | 4 | 120 | 11 | 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 | 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 | 120 | 13 | 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 | 14 | 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 | 15 | 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 | 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 | 4 | 120 | 17 | 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 | 18 | 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 | 19 | 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 | 20 | 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 | 21 | 3.603323 | Solve this system for x:
3.6033233298543825x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 22 | 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 | 23 | 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 | 24 | 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 | 4 | 120 | 25 | 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 | 26 | 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 | 4 | 120 | 27 | 4.065263 | Solve this system for x:
4.065263096110025x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 4 | 120 | 28 | 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 | 29 | 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 | 30 | 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 | 31 | 4.495722 | Solve this system for x:
4.4957224306869055x + 2y = 8
1x + 3y = 9
FINAL: | 0.522322 | 0.522322 |
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