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 | 0 | sinusoid | 1 | 1 | 120 | 0 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 1 | 4.162569 | Solve this system for x:
4.162569336918323x + 1y = 7
1x + 5y = 11
FINAL: | 1.211335 | 1.211335 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 2 | 4.150368 | Solve this system for x:
4.150367961495796x + 1y = 7
1x + 5y = 11
FINAL: | 1.215077 | 1.215077 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 3 | 4.136718 | Solve this system for x:
4.136718460404574x + 1y = 7
1x + 5y = 11
FINAL: | 1.21929 | 1.21929 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 4 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 5 | 4.105614 | Solve this system for x:
4.105613570130074x + 1y = 7
1x + 5y = 11
FINAL: | 1.229 | 1.229 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 6 | 4.088458 | Solve this system for x:
4.0884577380438x + 1y = 7
1x + 5y = 11
FINAL: | 1.234423 | 1.234423 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 7 | 4.07045 | Solve this system for x:
4.070450009584246x + 1y = 7
1x + 5y = 11
FINAL: | 1.240166 | 1.240166 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 8 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 9 | 4.032579 | Solve this system for x:
4.032579094678918x + 1y = 7
1x + 5y = 11
FINAL: | 1.25242 | 1.25242 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 10 | 4.013081 | Solve this system for x:
4.013080625846029x + 1y = 7
1x + 5y = 11
FINAL: | 1.258825 | 1.258825 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 11 | 3.993456 | Solve this system for x:
3.993456183435645x + 1y = 7
1x + 5y = 11
FINAL: | 1.265337 | 1.265337 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 12 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 13 | 3.954585 | Solve this system for x:
3.9545847473931253x + 1y = 7
1x + 5y = 11
FINAL: | 1.278437 | 1.278437 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 14 | 3.935712 | Solve this system for x:
3.9357121069393677x + 1y = 7
1x + 5y = 11
FINAL: | 1.284896 | 1.284896 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 15 | 3.917459 | Solve this system for x:
3.917458594039121x + 1y = 7
1x + 5y = 11
FINAL: | 1.291205 | 1.291205 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 16 | 3.9 | Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 17 | 3.883504 | Solve this system for x:
3.8835044606264395x + 1y = 7
1x + 5y = 11
FINAL: | 1.303107 | 1.303107 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 18 | 3.868131 | Solve this system for x:
3.8681308369799865x + 1y = 7
1x + 5y = 11
FINAL: | 1.308568 | 1.308568 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 19 | 3.854027 | Solve this system for x:
3.854027185460433x + 1y = 7
1x + 5y = 11
FINAL: | 1.313619 | 1.313619 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 20 | 3.841329 | Solve this system for x:
3.841329331941753x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 21 | 3.83016 | Solve this system for x:
3.8301595636946844x + 1y = 7
1x + 5y = 11
FINAL: | 1.322256 | 1.322256 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 22 | 3.820625 | Solve this system for x:
3.8206254516934623x + 1y = 7
1x + 5y = 11
FINAL: | 1.325738 | 1.325738 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 23 | 3.812819 | Solve this system for x:
3.812818814648535x + 1y = 7
1x + 5y = 11
FINAL: | 1.328602 | 1.328602 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 24 | 3.806815 | Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 25 | 3.802671 | Solve this system for x:
3.802671333583024x + 1y = 7
1x + 5y = 11
FINAL: | 1.332345 | 1.332345 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 26 | 3.800428 | Solve this system for x:
3.8004282153522793x + 1y = 7
1x + 5y = 11
FINAL: | 1.333175 | 1.333175 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 27 | 3.800107 | Solve this system for x:
3.8001070825047267x + 1y = 7
1x + 5y = 11
FINAL: | 1.333294 | 1.333294 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 28 | 3.801711 | Solve this system for x:
3.8017110277252377x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 29 | 3.805225 | Solve this system for x:
3.8052246041445335x + 1y = 7
1x + 5y = 11
FINAL: | 1.331401 | 1.331401 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 30 | 3.810614 | Solve this system for x:
3.810613974100979x + 1y = 7
1x + 5y = 11
FINAL: | 1.329414 | 1.329414 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 31 | 3.817827 | Solve this system for x:
3.817827235015765x + 1y = 7
1x + 5y = 11
FINAL: | 1.326763 | 1.326763 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 32 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 33 | 3.837431 | Solve this system for x:
3.837430663081677x + 1y = 7
1x + 5y = 11
FINAL: | 1.319613 | 1.319613 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 34 | 3.849632 | Solve this system for x:
3.8496320385042044x + 1y = 7
1x + 5y = 11
FINAL: | 1.315201 | 1.315201 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 35 | 3.863282 | Solve this system for x:
3.863281539595426x + 1y = 7
1x + 5y = 11
FINAL: | 1.310301 | 1.310301 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 36 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 37 | 3.894386 | Solve this system for x:
3.8943864298699262x + 1y = 7
1x + 5y = 11
FINAL: | 1.299269 | 1.299269 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 38 | 3.911542 | Solve this system for x:
3.9115422619561997x + 1y = 7
1x + 5y = 11
FINAL: | 1.293263 | 1.293263 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 39 | 3.92955 | Solve this system for x:
3.929549990415753x + 1y = 7
1x + 5y = 11
FINAL: | 1.287019 | 1.287019 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 40 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 41 | 3.967421 | Solve this system for x:
3.9674209053210823x + 1y = 7
1x + 5y = 11
FINAL: | 1.274081 | 1.274081 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 42 | 3.986919 | Solve this system for x:
3.9869193741539712x + 1y = 7
1x + 5y = 11
FINAL: | 1.267521 | 1.267521 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 43 | 4.006544 | Solve this system for x:
4.006543816564355x + 1y = 7
1x + 5y = 11
FINAL: | 1.260986 | 1.260986 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 44 | 4.026105 | Solve this system for x:
4.02610523844401x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 45 | 4.045415 | Solve this system for x:
4.045415252606874x + 1y = 7
1x + 5y = 11
FINAL: | 1.24824 | 1.24824 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 46 | 4.064288 | Solve this system for x:
4.064287893060632x + 1y = 7
1x + 5y = 11
FINAL: | 1.242143 | 1.242143 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 47 | 4.082541 | Solve this system for x:
4.082541405960879x + 1y = 7
1x + 5y = 11
FINAL: | 1.236304 | 1.236304 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 48 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 49 | 4.116496 | Solve this system for x:
4.1164955393735605x + 1y = 7
1x + 5y = 11
FINAL: | 1.225585 | 1.225585 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 50 | 4.131869 | Solve this system for x:
4.1318691630200135x + 1y = 7
1x + 5y = 11
FINAL: | 1.220793 | 1.220793 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 51 | 4.145973 | Solve this system for x:
4.145972814539567x + 1y = 7
1x + 5y = 11
FINAL: | 1.21643 | 1.21643 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 52 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 53 | 4.16984 | Solve this system for x:
4.169840436305316x + 1y = 7
1x + 5y = 11
FINAL: | 1.209117 | 1.209117 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 54 | 4.179375 | Solve this system for x:
4.179374548306537x + 1y = 7
1x + 5y = 11
FINAL: | 1.20622 | 1.20622 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 55 | 4.187181 | Solve this system for x:
4.1871811853514656x + 1y = 7
1x + 5y = 11
FINAL: | 1.203858 | 1.203858 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 56 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 57 | 4.197329 | Solve this system for x:
4.1973286664169756x + 1y = 7
1x + 5y = 11
FINAL: | 1.200802 | 1.200802 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 58 | 4.199572 | Solve this system for x:
4.199571784647721x + 1y = 7
1x + 5y = 11
FINAL: | 1.200128 | 1.200128 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 59 | 4.199893 | Solve this system for x:
4.199892917495273x + 1y = 7
1x + 5y = 11
FINAL: | 1.200032 | 1.200032 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 60 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 61 | 4.194775 | Solve this system for x:
4.1947753958554665x + 1y = 7
1x + 5y = 11
FINAL: | 1.201569 | 1.201569 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 62 | 4.189386 | Solve this system for x:
4.189386025899021x + 1y = 7
1x + 5y = 11
FINAL: | 1.203193 | 1.203193 |
linear_system | 0 | sinusoid | 1 | 1 | 120 | 63 | 4.182173 | Solve this system for x:
4.1821727649842355x + 1y = 7
1x + 5y = 11
FINAL: | 1.205372 | 1.205372 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 0 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 1 | 4.150368 | Solve this system for x:
4.150367961495796x + 1y = 7
1x + 5y = 11
FINAL: | 1.215077 | 1.215077 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 2 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 3 | 4.088458 | Solve this system for x:
4.0884577380438x + 1y = 7
1x + 5y = 11
FINAL: | 1.234423 | 1.234423 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 4 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 5 | 4.013081 | Solve this system for x:
4.013080625846029x + 1y = 7
1x + 5y = 11
FINAL: | 1.258825 | 1.258825 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 6 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 7 | 3.935712 | Solve this system for x:
3.9357121069393677x + 1y = 7
1x + 5y = 11
FINAL: | 1.284896 | 1.284896 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 8 | 3.9 | Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 9 | 3.868131 | Solve this system for x:
3.8681308369799865x + 1y = 7
1x + 5y = 11
FINAL: | 1.308568 | 1.308568 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 10 | 3.841329 | Solve this system for x:
3.841329331941753x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 11 | 3.820625 | Solve this system for x:
3.8206254516934623x + 1y = 7
1x + 5y = 11
FINAL: | 1.325738 | 1.325738 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 12 | 3.806815 | Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 13 | 3.800428 | Solve this system for x:
3.8004282153522793x + 1y = 7
1x + 5y = 11
FINAL: | 1.333175 | 1.333175 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 14 | 3.801711 | Solve this system for x:
3.8017110277252377x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 15 | 3.810614 | Solve this system for x:
3.810613974100979x + 1y = 7
1x + 5y = 11
FINAL: | 1.329414 | 1.329414 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 16 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 17 | 3.849632 | Solve this system for x:
3.8496320385042044x + 1y = 7
1x + 5y = 11
FINAL: | 1.315201 | 1.315201 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 18 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 19 | 3.911542 | Solve this system for x:
3.9115422619561997x + 1y = 7
1x + 5y = 11
FINAL: | 1.293263 | 1.293263 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 20 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 21 | 3.986919 | Solve this system for x:
3.9869193741539712x + 1y = 7
1x + 5y = 11
FINAL: | 1.267521 | 1.267521 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 22 | 4.026105 | Solve this system for x:
4.02610523844401x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 23 | 4.064288 | Solve this system for x:
4.064287893060632x + 1y = 7
1x + 5y = 11
FINAL: | 1.242143 | 1.242143 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 24 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 25 | 4.131869 | Solve this system for x:
4.1318691630200135x + 1y = 7
1x + 5y = 11
FINAL: | 1.220793 | 1.220793 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 26 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 27 | 4.179375 | Solve this system for x:
4.179374548306537x + 1y = 7
1x + 5y = 11
FINAL: | 1.20622 | 1.20622 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 28 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 29 | 4.199572 | Solve this system for x:
4.199571784647721x + 1y = 7
1x + 5y = 11
FINAL: | 1.200128 | 1.200128 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 30 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 31 | 4.189386 | Solve this system for x:
4.189386025899021x + 1y = 7
1x + 5y = 11
FINAL: | 1.203193 | 1.203193 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 32 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 33 | 4.150368 | Solve this system for x:
4.150367961495795x + 1y = 7
1x + 5y = 11
FINAL: | 1.215077 | 1.215077 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 34 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 35 | 4.088458 | Solve this system for x:
4.0884577380438x + 1y = 7
1x + 5y = 11
FINAL: | 1.234423 | 1.234423 |
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