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 | 240 | 40 | 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 | 1 | 240 | 41 | 4.467953 | Solve this system for x:
4.467952963378663x + 2y = 8
1x + 3y = 9
FINAL: | 0.526138 | 0.526138 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 42 | 4.448436 | Solve this system for x:
4.448436370766345x + 2y = 8
1x + 3y = 9
FINAL: | 0.528853 | 0.528853 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 43 | 4.424601 | Solve this system for x:
4.42460109076329x + 2y = 8
1x + 3y = 9
FINAL: | 0.532207 | 0.532207 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 44 | 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 | 1 | 240 | 45 | 4.364932 | Solve this system for x:
4.364932036348918x + 2y = 8
1x + 3y = 9
FINAL: | 0.540794 | 0.540794 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 46 | 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 | 1 | 240 | 47 | 4.291239 | Solve this system for x:
4.291238848433901x + 2y = 8
1x + 3y = 9
FINAL: | 0.551789 | 0.551789 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 48 | 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 | 1 | 240 | 49 | 4.206354 | Solve this system for x:
4.206353514902197x + 2y = 8
1x + 3y = 9
FINAL: | 0.565022 | 0.565022 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 50 | 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 | 1 | 240 | 51 | 4.113538 | Solve this system for x:
4.113538131517187x + 2y = 8
1x + 3y = 9
FINAL: | 0.580236 | 0.580236 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 52 | 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 | 1 | 240 | 53 | 4.01636 | Solve this system for x:
4.016359541410889x + 2y = 8
1x + 3y = 9
FINAL: | 0.59707 | 0.59707 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 54 | 3.967298 | Solve this system for x:
3.9672984353849294x + 2y = 8
1x + 3y = 9
FINAL: | 0.605945 | 0.605945 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 55 | 3.918552 | Solve this system for x:
3.918552263302706x + 2y = 8
1x + 3y = 9
FINAL: | 0.615028 | 0.615028 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 56 | 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 | 1 | 240 | 57 | 3.823875 | Solve this system for x:
3.8238749760393835x + 2y = 8
1x + 3y = 9
FINAL: | 0.633471 | 0.633471 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 58 | 3.778856 | Solve this system for x:
3.7788556548904992x + 2y = 8
1x + 3y = 9
FINAL: | 0.642634 | 0.642634 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 59 | 3.735966 | Solve this system for x:
3.735966074674816x + 2y = 8
1x + 3y = 9
FINAL: | 0.651615 | 0.651615 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 60 | 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 | 1 | 240 | 61 | 3.658204 | Solve this system for x:
3.6582038489885647x + 2y = 8
1x + 3y = 9
FINAL: | 0.668553 | 0.668553 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 62 | 3.62408 | Solve this system for x:
3.6240800962605118x + 2y = 8
1x + 3y = 9
FINAL: | 0.676267 | 0.676267 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 63 | 3.593577 | Solve this system for x:
3.593576657704193x + 2y = 8
1x + 3y = 9
FINAL: | 0.683314 | 0.683314 |
linear_system | 1 | sinusoid | 2.5 | 2 | 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 | 2 | 240 | 1 | 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 | 240 | 2 | 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 | 2 | 240 | 3 | 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 | 240 | 4 | 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 | 240 | 5 | 3.551564 | Solve this system for x:
3.5515636292336557x + 2y = 8
1x + 3y = 9
FINAL: | 0.693266 | 0.693266 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 6 | 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 | 240 | 7 | 3.670327 | Solve this system for x:
3.6703270924499654x + 2y = 8
1x + 3y = 9
FINAL: | 0.665854 | 0.665854 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 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 | 240 | 9 | 3.83928 | Solve this system for x:
3.839280267348419x + 2y = 8
1x + 3y = 9
FINAL: | 0.630395 | 0.630395 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 10 | 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 | 2 | 240 | 11 | 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 | 240 | 12 | 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 | 2 | 240 | 13 | 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 | 240 | 14 | 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 | 240 | 15 | 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 | 240 | 16 | 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 | 2 | 240 | 17 | 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 | 240 | 18 | 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 | 240 | 19 | 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 | 240 | 20 | 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 | 240 | 21 | 4.448436 | Solve this system for x:
4.448436370766345x + 2y = 8
1x + 3y = 9
FINAL: | 0.528853 | 0.528853 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 22 | 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 | 2 | 240 | 23 | 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 | 240 | 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 | 240 | 25 | 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 | 240 | 26 | 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 | 2 | 240 | 27 | 3.967298 | Solve this system for x:
3.9672984353849294x + 2y = 8
1x + 3y = 9
FINAL: | 0.605945 | 0.605945 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 28 | 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 | 2 | 240 | 29 | 3.778856 | Solve this system for x:
3.7788556548904992x + 2y = 8
1x + 3y = 9
FINAL: | 0.642634 | 0.642634 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 30 | 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 | 2 | 240 | 31 | 3.62408 | Solve this system for x:
3.6240800962605118x + 2y = 8
1x + 3y = 9
FINAL: | 0.676267 | 0.676267 |
linear_system | 1 | sinusoid | 2.5 | 2 | 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 | 2 | 240 | 33 | 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 | 240 | 34 | 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 | 240 | 35 | 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 | 240 | 36 | 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 | 240 | 37 | 3.551564 | Solve this system for x:
3.5515636292336557x + 2y = 8
1x + 3y = 9
FINAL: | 0.693266 | 0.693266 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 38 | 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 | 2 | 240 | 39 | 3.670327 | Solve this system for x:
3.6703270924499654x + 2y = 8
1x + 3y = 9
FINAL: | 0.665854 | 0.665854 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 40 | 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 | 240 | 41 | 3.83928 | Solve this system for x:
3.839280267348419x + 2y = 8
1x + 3y = 9
FINAL: | 0.630395 | 0.630395 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 42 | 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 | 2 | 240 | 43 | 4.032702 | Solve this system for x:
4.032701564615071x + 2y = 8
1x + 3y = 9
FINAL: | 0.594171 | 0.594171 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 44 | 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 | 2 | 240 | 45 | 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 | 240 | 46 | 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 | 2 | 240 | 47 | 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 | 240 | 48 | 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 | 2 | 240 | 49 | 4.473465 | Solve this system for x:
4.473465064747552x + 2y = 8
1x + 3y = 9
FINAL: | 0.525376 | 0.525376 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 50 | 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 | 240 | 51 | 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 | 240 | 52 | 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 | 240 | 53 | 4.448436 | Solve this system for x:
4.448436370766345x + 2y = 8
1x + 3y = 9
FINAL: | 0.528853 | 0.528853 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 54 | 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 | 2 | 240 | 55 | 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 | 240 | 56 | 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 | 240 | 57 | 4.16072 | Solve this system for x:
4.1607197326515815x + 2y = 8
1x + 3y = 9
FINAL: | 0.572401 | 0.572401 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 58 | 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 | 2 | 240 | 59 | 3.967298 | Solve this system for x:
3.9672984353849294x + 2y = 8
1x + 3y = 9
FINAL: | 0.605945 | 0.605945 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 60 | 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 | 2 | 240 | 61 | 3.778856 | Solve this system for x:
3.7788556548904992x + 2y = 8
1x + 3y = 9
FINAL: | 0.642634 | 0.642634 |
linear_system | 1 | sinusoid | 2.5 | 2 | 240 | 62 | 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 | 2 | 240 | 63 | 3.62408 | Solve this system for x:
3.6240800962605118x + 2y = 8
1x + 3y = 9
FINAL: | 0.676267 | 0.676267 |
linear_system | 1 | sinusoid | 2.5 | 4 | 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 | 4 | 240 | 1 | 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 | 2 | 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 | 3 | 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 | 240 | 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 | 240 | 5 | 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 | 6 | 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 | 240 | 7 | 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 | 240 | 8 | 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 | 9 | 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 | 10 | 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 | 11 | 4.396677 | Solve this system for x:
4.396676670145618x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
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