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 | 16 | 240 | 24 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 25 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 26 | 4.173205 | Solve this system for x:
4.173205080756889x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 27 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 28 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 29 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 30 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 31 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 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 | 16 | 240 | 33 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 34 | 4.173205 | Solve this system for x:
4.173205080756889x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 35 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 36 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 37 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 38 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 39 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 40 | 3.826795 | Solve this system for x:
3.826794919243113x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 41 | 3.9 | Solve this system for x:
3.8999999999999977x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 42 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 43 | 4.1 | Solve this system for x:
4.100000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 44 | 3.826795 | Solve this system for x:
3.8267949192431137x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 45 | 3.9 | Solve this system for x:
3.899999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 46 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 47 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 48 | 3.826795 | Solve this system for x:
3.826794919243113x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 49 | 3.9 | Solve this system for x:
3.8999999999999977x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 50 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 51 | 4.1 | Solve this system for x:
4.100000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 52 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 53 | 3.9 | Solve this system for x:
3.899999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 54 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 55 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 56 | 3.826795 | Solve this system for x:
3.826794919243113x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 57 | 3.9 | Solve this system for x:
3.8999999999999977x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 58 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 59 | 4.1 | Solve this system for x:
4.100000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 60 | 3.826795 | Solve this system for x:
3.8267949192431137x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 61 | 3.9 | Solve this system for x:
3.8999999999999986x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 62 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 16 | 240 | 63 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 0 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 1 | 4.019603 | Solve this system for x:
4.0196034280659125x + 2y = 8
1x + 3y = 9
FINAL: | 0.596492 | 0.596492 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 2 | 4.039018 | Solve this system for x:
4.039018064403225x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 3 | 4.058057 | Solve this system for x:
4.058056935450892x + 2y = 8
1x + 3y = 9
FINAL: | 0.589729 | 0.589729 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 4 | 4.076537 | Solve this system for x:
4.076536686473018x + 2y = 8
1x + 3y = 9
FINAL: | 0.586533 | 0.586533 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 5 | 4.094279 | Solve this system for x:
4.0942793473652x + 2y = 8
1x + 3y = 9
FINAL: | 0.583496 | 0.583496 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 6 | 4.111114 | Solve this system for x:
4.11111404660392x + 2y = 8
1x + 3y = 9
FINAL: | 0.580645 | 0.580645 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 7 | 4.126879 | Solve this system for x:
4.126878656832729x + 2y = 8
1x + 3y = 9
FINAL: | 0.577999 | 0.577999 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 8 | 4.141421 | Solve this system for x:
4.141421356237309x + 2y = 8
1x + 3y = 9
FINAL: | 0.57558 | 0.57558 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 9 | 4.154602 | Solve this system for x:
4.154602090672547x + 2y = 8
1x + 3y = 9
FINAL: | 0.573405 | 0.573405 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 10 | 4.166294 | Solve this system for x:
4.166293922460509x + 2y = 8
1x + 3y = 9
FINAL: | 0.571489 | 0.571489 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 11 | 4.176384 | Solve this system for x:
4.176384252869671x + 2y = 8
1x + 3y = 9
FINAL: | 0.569846 | 0.569846 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 12 | 4.184776 | Solve this system for x:
4.184775906502257x + 2y = 8
1x + 3y = 9
FINAL: | 0.568487 | 0.568487 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 13 | 4.191388 | Solve this system for x:
4.191388067146442x + 2y = 8
1x + 3y = 9
FINAL: | 0.567421 | 0.567421 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 14 | 4.196157 | Solve this system for x:
4.196157056080646x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 15 | 4.199037 | Solve this system for x:
4.19903694533444x + 2y = 8
1x + 3y = 9
FINAL: | 0.566192 | 0.566192 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 16 | 4.2 | Solve this system for x:
4.2x + 2y = 8
1x + 3y = 9
FINAL: | 0.566038 | 0.566038 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 17 | 4.199037 | Solve this system for x:
4.19903694533444x + 2y = 8
1x + 3y = 9
FINAL: | 0.566192 | 0.566192 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 18 | 4.196157 | Solve this system for x:
4.196157056080646x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 19 | 4.191388 | Solve this system for x:
4.191388067146442x + 2y = 8
1x + 3y = 9
FINAL: | 0.567421 | 0.567421 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 20 | 4.184776 | Solve this system for x:
4.184775906502257x + 2y = 8
1x + 3y = 9
FINAL: | 0.568487 | 0.568487 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 21 | 4.176384 | Solve this system for x:
4.176384252869671x + 2y = 8
1x + 3y = 9
FINAL: | 0.569846 | 0.569846 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 22 | 4.166294 | Solve this system for x:
4.166293922460509x + 2y = 8
1x + 3y = 9
FINAL: | 0.571489 | 0.571489 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 23 | 4.154602 | Solve this system for x:
4.154602090672547x + 2y = 8
1x + 3y = 9
FINAL: | 0.573405 | 0.573405 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 24 | 4.141421 | Solve this system for x:
4.141421356237309x + 2y = 8
1x + 3y = 9
FINAL: | 0.57558 | 0.57558 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 25 | 4.126879 | Solve this system for x:
4.126878656832729x + 2y = 8
1x + 3y = 9
FINAL: | 0.577999 | 0.577999 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 26 | 4.111114 | Solve this system for x:
4.11111404660392x + 2y = 8
1x + 3y = 9
FINAL: | 0.580645 | 0.580645 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 27 | 4.094279 | Solve this system for x:
4.0942793473652x + 2y = 8
1x + 3y = 9
FINAL: | 0.583496 | 0.583496 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 28 | 4.076537 | Solve this system for x:
4.076536686473018x + 2y = 8
1x + 3y = 9
FINAL: | 0.586533 | 0.586533 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 29 | 4.058057 | Solve this system for x:
4.058056935450892x + 2y = 8
1x + 3y = 9
FINAL: | 0.589729 | 0.589729 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 30 | 4.039018 | Solve this system for x:
4.039018064403225x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 31 | 4.019603 | Solve this system for x:
4.0196034280659125x + 2y = 8
1x + 3y = 9
FINAL: | 0.596492 | 0.596492 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 32 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 33 | 3.980397 | Solve this system for x:
3.980396571934088x + 2y = 8
1x + 3y = 9
FINAL: | 0.603549 | 0.603549 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 34 | 3.960982 | Solve this system for x:
3.960981935596774x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 35 | 3.941943 | Solve this system for x:
3.9419430645491076x + 2y = 8
1x + 3y = 9
FINAL: | 0.610635 | 0.610635 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 36 | 3.923463 | Solve this system for x:
3.923463313526982x + 2y = 8
1x + 3y = 9
FINAL: | 0.6141 | 0.6141 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 37 | 3.905721 | Solve this system for x:
3.9057206526348005x + 2y = 8
1x + 3y = 9
FINAL: | 0.617464 | 0.617464 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 38 | 3.888886 | Solve this system for x:
3.8888859533960796x + 2y = 8
1x + 3y = 9
FINAL: | 0.62069 | 0.62069 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 39 | 3.873121 | Solve this system for x:
3.873121343167271x + 2y = 8
1x + 3y = 9
FINAL: | 0.623742 | 0.623742 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 40 | 3.858579 | Solve this system for x:
3.8585786437626903x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 41 | 3.845398 | Solve this system for x:
3.8453979093274526x + 2y = 8
1x + 3y = 9
FINAL: | 0.629182 | 0.629182 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 42 | 3.833706 | Solve this system for x:
3.833706077539491x + 2y = 8
1x + 3y = 9
FINAL: | 0.631505 | 0.631505 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 43 | 3.823616 | Solve this system for x:
3.823615747130329x + 2y = 8
1x + 3y = 9
FINAL: | 0.633523 | 0.633523 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 44 | 3.815224 | Solve this system for x:
3.8152240934977426x + 2y = 8
1x + 3y = 9
FINAL: | 0.635212 | 0.635212 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 45 | 3.808612 | Solve this system for x:
3.8086119328535584x + 2y = 8
1x + 3y = 9
FINAL: | 0.636548 | 0.636548 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 46 | 3.803843 | Solve this system for x:
3.8038429439193537x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 47 | 3.800963 | Solve this system for x:
3.8009630546655604x + 2y = 8
1x + 3y = 9
FINAL: | 0.638102 | 0.638102 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 48 | 3.8 | Solve this system for x:
3.8x + 2y = 8
1x + 3y = 9
FINAL: | 0.638298 | 0.638298 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 49 | 3.800963 | Solve this system for x:
3.8009630546655604x + 2y = 8
1x + 3y = 9
FINAL: | 0.638102 | 0.638102 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 50 | 3.803843 | Solve this system for x:
3.8038429439193537x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 51 | 3.808612 | Solve this system for x:
3.8086119328535584x + 2y = 8
1x + 3y = 9
FINAL: | 0.636548 | 0.636548 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 52 | 3.815224 | Solve this system for x:
3.8152240934977426x + 2y = 8
1x + 3y = 9
FINAL: | 0.635212 | 0.635212 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 53 | 3.823616 | Solve this system for x:
3.823615747130329x + 2y = 8
1x + 3y = 9
FINAL: | 0.633523 | 0.633523 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 54 | 3.833706 | Solve this system for x:
3.8337060775394907x + 2y = 8
1x + 3y = 9
FINAL: | 0.631505 | 0.631505 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 55 | 3.845398 | Solve this system for x:
3.8453979093274526x + 2y = 8
1x + 3y = 9
FINAL: | 0.629182 | 0.629182 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 56 | 3.858579 | Solve this system for x:
3.8585786437626903x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 57 | 3.873121 | Solve this system for x:
3.873121343167271x + 2y = 8
1x + 3y = 9
FINAL: | 0.623742 | 0.623742 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 58 | 3.888886 | Solve this system for x:
3.8888859533960796x + 2y = 8
1x + 3y = 9
FINAL: | 0.62069 | 0.62069 |
linear_system | 1 | sinusoid | 1 | 1 | 0 | 59 | 3.905721 | Solve this system for x:
3.9057206526348005x + 2y = 8
1x + 3y = 9
FINAL: | 0.617464 | 0.617464 |
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