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
| 2
|
sinusoid
| 0.5
| 8
| 240
| 48
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 49
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 50
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 51
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 52
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 53
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 54
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 55
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 56
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 57
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 58
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 59
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 60
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 61
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 62
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 240
| 63
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 0
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 1
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 2
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 3
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 4
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 5
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 6
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 7
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 8
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 9
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 10
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 11
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 12
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 13
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 14
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 15
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 16
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 17
| 3.95
|
Solve this system for x:
3.9499999999999997x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 18
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 19
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 20
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 21
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 22
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 23
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 24
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 25
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 26
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 27
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 28
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 29
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 30
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 31
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 32
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 33
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 34
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 35
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 36
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 37
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 38
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 39
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 40
| 3.913397
|
Solve this system for x:
3.9133974596215566x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 41
| 3.95
|
Solve this system for x:
3.949999999999999x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 42
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 43
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 44
| 3.913397
|
Solve this system for x:
3.913397459621557x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 45
| 3.95
|
Solve this system for x:
3.9499999999999993x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 46
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 47
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 48
| 3.913397
|
Solve this system for x:
3.9133974596215566x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 49
| 3.95
|
Solve this system for x:
3.949999999999999x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 50
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 51
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 52
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 53
| 3.95
|
Solve this system for x:
3.9499999999999993x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 54
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 55
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 56
| 3.913397
|
Solve this system for x:
3.9133974596215566x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 57
| 3.95
|
Solve this system for x:
3.949999999999999x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 58
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 59
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 60
| 3.913397
|
Solve this system for x:
3.913397459621557x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 61
| 3.95
|
Solve this system for x:
3.9499999999999993x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 62
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 240
| 63
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 0
| 4
|
Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL:
| 1.263158
| 1.263158
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 1
| 4.019603
|
Solve this system for x:
4.0196034280659125x + 1y = 7
1x + 5y = 11
FINAL:
| 1.256675
| 1.256675
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 2
| 4.039018
|
Solve this system for x:
4.039018064403225x + 1y = 7
1x + 5y = 11
FINAL:
| 1.25032
| 1.25032
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 3
| 4.058057
|
Solve this system for x:
4.058056935450892x + 1y = 7
1x + 5y = 11
FINAL:
| 1.24415
| 1.24415
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 4
| 4.076537
|
Solve this system for x:
4.076536686473018x + 1y = 7
1x + 5y = 11
FINAL:
| 1.238219
| 1.238219
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 5
| 4.094279
|
Solve this system for x:
4.0942793473652x + 1y = 7
1x + 5y = 11
FINAL:
| 1.232577
| 1.232577
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 6
| 4.111114
|
Solve this system for x:
4.11111404660392x + 1y = 7
1x + 5y = 11
FINAL:
| 1.227272
| 1.227272
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 7
| 4.126879
|
Solve this system for x:
4.126878656832729x + 1y = 7
1x + 5y = 11
FINAL:
| 1.222345
| 1.222345
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 8
| 4.141421
|
Solve this system for x:
4.141421356237309x + 1y = 7
1x + 5y = 11
FINAL:
| 1.217835
| 1.217835
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 9
| 4.154602
|
Solve this system for x:
4.154602090672547x + 1y = 7
1x + 5y = 11
FINAL:
| 1.213776
| 1.213776
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 10
| 4.166294
|
Solve this system for x:
4.166293922460509x + 1y = 7
1x + 5y = 11
FINAL:
| 1.210198
| 1.210198
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 11
| 4.176384
|
Solve this system for x:
4.176384252869671x + 1y = 7
1x + 5y = 11
FINAL:
| 1.207127
| 1.207127
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 12
| 4.184776
|
Solve this system for x:
4.184775906502257x + 1y = 7
1x + 5y = 11
FINAL:
| 1.204585
| 1.204585
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 13
| 4.191388
|
Solve this system for x:
4.191388067146442x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202589
| 1.202589
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 14
| 4.196157
|
Solve this system for x:
4.196157056080646x + 1y = 7
1x + 5y = 11
FINAL:
| 1.201154
| 1.201154
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 15
| 4.199037
|
Solve this system for x:
4.19903694533444x + 1y = 7
1x + 5y = 11
FINAL:
| 1.200289
| 1.200289
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 16
| 4.2
|
Solve this system for x:
4.2x + 1y = 7
1x + 5y = 11
FINAL:
| 1.2
| 1.2
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 17
| 4.199037
|
Solve this system for x:
4.19903694533444x + 1y = 7
1x + 5y = 11
FINAL:
| 1.200289
| 1.200289
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 18
| 4.196157
|
Solve this system for x:
4.196157056080646x + 1y = 7
1x + 5y = 11
FINAL:
| 1.201154
| 1.201154
|
linear_system
| 0
|
sinusoid
| 1
| 1
| 0
| 19
| 4.191388
|
Solve this system for x:
4.191388067146442x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202589
| 1.202589
|
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