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
| 2.5
| 2
| 0
| 56
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 57
| 3.509607
|
Solve this system for x:
3.509607359798385x + 1y = 10
2x + 4y = 12
FINAL:
| 2.325885
| 2.325885
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 58
| 3.53806
|
Solve this system for x:
3.5380602337443565x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 59
| 3.584265
|
Solve this system for x:
3.584265193848727x + 1y = 10
2x + 4y = 12
FINAL:
| 2.269584
| 2.269584
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 60
| 3.646447
|
Solve this system for x:
3.6464466094067256x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 61
| 3.722215
|
Solve this system for x:
3.722214883490199x + 1y = 10
2x + 4y = 12
FINAL:
| 2.172419
| 2.172419
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 62
| 3.808658
|
Solve this system for x:
3.8086582838174547x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 2
| 0
| 63
| 3.902455
|
Solve this system for x:
3.902454838991936x + 1y = 10
2x + 4y = 12
FINAL:
| 2.057338
| 2.057338
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 0
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 1
| 4.191342
|
Solve this system for x:
4.191341716182545x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 2
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 3
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 4
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 5
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 6
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 7
| 4.191342
|
Solve this system for x:
4.191341716182545x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 8
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 9
| 3.808658
|
Solve this system for x:
3.808658283817455x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 10
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 11
| 3.53806
|
Solve this system for x:
3.538060233744357x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 12
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 13
| 3.53806
|
Solve this system for x:
3.5380602337443565x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 14
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 15
| 3.808658
|
Solve this system for x:
3.8086582838174547x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 16
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 17
| 4.191342
|
Solve this system for x:
4.191341716182545x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 18
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 19
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 20
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 21
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 22
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 23
| 4.191342
|
Solve this system for x:
4.191341716182546x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 24
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 25
| 3.808658
|
Solve this system for x:
3.808658283817455x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 26
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 27
| 3.53806
|
Solve this system for x:
3.538060233744357x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 28
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 29
| 3.53806
|
Solve this system for x:
3.5380602337443565x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 30
| 3.646447
|
Solve this system for x:
3.6464466094067256x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 31
| 3.808658
|
Solve this system for x:
3.8086582838174547x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 32
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 33
| 4.191342
|
Solve this system for x:
4.191341716182545x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 34
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 35
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 36
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 37
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 38
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 39
| 4.191342
|
Solve this system for x:
4.191341716182546x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 40
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 41
| 3.808658
|
Solve this system for x:
3.808658283817456x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 42
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 43
| 3.53806
|
Solve this system for x:
3.538060233744357x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 44
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 45
| 3.53806
|
Solve this system for x:
3.5380602337443565x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 46
| 3.646447
|
Solve this system for x:
3.6464466094067256x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 47
| 3.808658
|
Solve this system for x:
3.808658283817455x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 48
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 49
| 4.191342
|
Solve this system for x:
4.191341716182544x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 50
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 51
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 52
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 53
| 4.46194
|
Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL:
| 1.766811
| 1.766811
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 54
| 4.353553
|
Solve this system for x:
4.353553390593275x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 55
| 4.191342
|
Solve this system for x:
4.191341716182545x + 1y = 10
2x + 4y = 12
FINAL:
| 1.896329
| 1.896329
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 56
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 57
| 3.808658
|
Solve this system for x:
3.808658283817456x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 58
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 59
| 3.53806
|
Solve this system for x:
3.538060233744357x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 60
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 61
| 3.53806
|
Solve this system for x:
3.5380602337443565x + 1y = 10
2x + 4y = 12
FINAL:
| 2.304102
| 2.304102
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 62
| 3.646447
|
Solve this system for x:
3.6464466094067256x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 0
| 63
| 3.808658
|
Solve this system for x:
3.808658283817455x + 1y = 10
2x + 4y = 12
FINAL:
| 2.115661
| 2.115661
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 0
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 1
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 2
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 3
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 4
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 5
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 6
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 7
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 8
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 9
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 10
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 11
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 12
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 13
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 14
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 15
| 3.646447
|
Solve this system for x:
3.6464466094067256x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 16
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 17
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 18
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 19
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 20
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 21
| 3.646447
|
Solve this system for x:
3.646446609406726x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 22
| 3.5
|
Solve this system for x:
3.5x + 1y = 10
2x + 4y = 12
FINAL:
| 2.333333
| 2.333333
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 23
| 3.646447
|
Solve this system for x:
3.6464466094067256x + 1y = 10
2x + 4y = 12
FINAL:
| 2.224732
| 2.224732
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 24
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 25
| 4.353553
|
Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 26
| 4.5
|
Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL:
| 1.75
| 1.75
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 0
| 27
| 4.353553
|
Solve this system for x:
4.353553390593275x + 1y = 10
2x + 4y = 12
FINAL:
| 1.816505
| 1.816505
|
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