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 | 0.5 | 4 | 0 | 12 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 13 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 14 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 15 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 16 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 17 | 4.038268 | Solve this system for x:
4.038268343236509x + 2y = 8
1x + 3y = 9
FINAL: | 0.59319 | 0.59319 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 18 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 19 | 4.092388 | Solve this system for x:
4.092387953251128x + 2y = 8
1x + 3y = 9
FINAL: | 0.583819 | 0.583819 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 20 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 21 | 4.092388 | Solve this system for x:
4.092387953251128x + 2y = 8
1x + 3y = 9
FINAL: | 0.583819 | 0.583819 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 22 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 23 | 4.038268 | Solve this system for x:
4.038268343236509x + 2y = 8
1x + 3y = 9
FINAL: | 0.59319 | 0.59319 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 24 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 25 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 26 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 27 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 28 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 29 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 30 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 31 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 32 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 33 | 4.038268 | Solve this system for x:
4.038268343236509x + 2y = 8
1x + 3y = 9
FINAL: | 0.59319 | 0.59319 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 34 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 35 | 4.092388 | Solve this system for x:
4.092387953251128x + 2y = 8
1x + 3y = 9
FINAL: | 0.583819 | 0.583819 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 36 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 37 | 4.092388 | Solve this system for x:
4.092387953251128x + 2y = 8
1x + 3y = 9
FINAL: | 0.583819 | 0.583819 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 38 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 39 | 4.038268 | Solve this system for x:
4.038268343236509x + 2y = 8
1x + 3y = 9
FINAL: | 0.59319 | 0.59319 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 40 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 41 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 42 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 43 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 44 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 45 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 46 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 47 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 48 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 49 | 4.038268 | Solve this system for x:
4.038268343236509x + 2y = 8
1x + 3y = 9
FINAL: | 0.59319 | 0.59319 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 50 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 51 | 4.092388 | Solve this system for x:
4.092387953251128x + 2y = 8
1x + 3y = 9
FINAL: | 0.583819 | 0.583819 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 52 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 53 | 4.092388 | Solve this system for x:
4.092387953251128x + 2y = 8
1x + 3y = 9
FINAL: | 0.583819 | 0.583819 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 54 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 55 | 4.038268 | Solve this system for x:
4.038268343236509x + 2y = 8
1x + 3y = 9
FINAL: | 0.59319 | 0.59319 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 56 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 57 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 58 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 59 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 60 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 61 | 3.907612 | Solve this system for x:
3.9076120467488713x + 2y = 8
1x + 3y = 9
FINAL: | 0.617104 | 0.617104 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 62 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 4 | 0 | 63 | 3.961732 | Solve this system for x:
3.961731656763491x + 2y = 8
1x + 3y = 9
FINAL: | 0.606968 | 0.606968 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 0 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 1 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 2 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 3 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 4 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 5 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 6 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 7 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 8 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 9 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 10 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 11 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 12 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 13 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 14 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 15 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 16 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 17 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 18 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 19 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 20 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 21 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 22 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 23 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 24 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 25 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 26 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 27 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 28 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 29 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 30 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 31 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 32 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 33 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 34 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 35 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 36 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 37 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 38 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 39 | 3.929289 | Solve this system for x:
3.929289321881345x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 40 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 41 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 42 | 4.1 | Solve this system for x:
4.1x + 2y = 8
1x + 3y = 9
FINAL: | 0.582524 | 0.582524 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 43 | 4.070711 | Solve this system for x:
4.070710678118655x + 2y = 8
1x + 3y = 9
FINAL: | 0.587536 | 0.587536 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 44 | 4 | Solve this system for x:
4.000000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 45 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 46 | 3.9 | Solve this system for x:
3.9x + 2y = 8
1x + 3y = 9
FINAL: | 0.618557 | 0.618557 |
linear_system | 1 | sinusoid | 0.5 | 8 | 0 | 47 | 3.929289 | Solve this system for x:
3.9292893218813454x + 2y = 8
1x + 3y = 9
FINAL: | 0.613004 | 0.613004 |
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