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
35
50
ground_truth
float64
3.56
10.3
symbolic_baseline_answer
float64
3.56
10.3
linear_solve
0
sinusoid
2.5
1
0
40
3.646447
Solve for x: 3.646446609406726x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
1
0
41
3.613495
Solve for x: 3.6134947733186316x + 3 = 27 FINAL:
6.64177
6.64177
linear_solve
0
sinusoid
2.5
1
0
42
3.584265
Solve for x: 3.5842651938487275x + 3 = 27 FINAL:
6.695933
6.695933
linear_solve
0
sinusoid
2.5
1
0
43
3.559039
Solve for x: 3.5590393678258225x + 3 = 27 FINAL:
6.743393
6.743393
linear_solve
0
sinusoid
2.5
1
0
44
3.53806
Solve for x: 3.538060233744357x + 3 = 27 FINAL:
6.783378
6.783378
linear_solve
0
sinusoid
2.5
1
0
45
3.52153
Solve for x: 3.5215298321338957x + 3 = 27 FINAL:
6.81522
6.81522
linear_solve
0
sinusoid
2.5
1
0
46
3.509607
Solve for x: 3.509607359798385x + 3 = 27 FINAL:
6.838372
6.838372
linear_solve
0
sinusoid
2.5
1
0
47
3.502408
Solve for x: 3.5024076366639014x + 3 = 27 FINAL:
6.852429
6.852429
linear_solve
0
sinusoid
2.5
1
0
48
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
1
0
49
3.502408
Solve for x: 3.5024076366639014x + 3 = 27 FINAL:
6.852429
6.852429
linear_solve
0
sinusoid
2.5
1
0
50
3.509607
Solve for x: 3.509607359798385x + 3 = 27 FINAL:
6.838372
6.838372
linear_solve
0
sinusoid
2.5
1
0
51
3.52153
Solve for x: 3.5215298321338957x + 3 = 27 FINAL:
6.81522
6.81522
linear_solve
0
sinusoid
2.5
1
0
52
3.53806
Solve for x: 3.5380602337443565x + 3 = 27 FINAL:
6.783378
6.783378
linear_solve
0
sinusoid
2.5
1
0
53
3.559039
Solve for x: 3.5590393678258225x + 3 = 27 FINAL:
6.743393
6.743393
linear_solve
0
sinusoid
2.5
1
0
54
3.584265
Solve for x: 3.584265193848727x + 3 = 27 FINAL:
6.695933
6.695933
linear_solve
0
sinusoid
2.5
1
0
55
3.613495
Solve for x: 3.6134947733186316x + 3 = 27 FINAL:
6.64177
6.64177
linear_solve
0
sinusoid
2.5
1
0
56
3.646447
Solve for x: 3.646446609406726x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
1
0
57
3.682803
Solve for x: 3.682803357918177x + 3 = 27 FINAL:
6.516775
6.516775
linear_solve
0
sinusoid
2.5
1
0
58
3.722215
Solve for x: 3.722214883490199x + 3 = 27 FINAL:
6.447774
6.447774
linear_solve
0
sinusoid
2.5
1
0
59
3.764302
Solve for x: 3.764301631587001x + 3 = 27 FINAL:
6.375685
6.375685
linear_solve
0
sinusoid
2.5
1
0
60
3.808658
Solve for x: 3.8086582838174547x + 3 = 27 FINAL:
6.301432
6.301432
linear_solve
0
sinusoid
2.5
1
0
61
3.854858
Solve for x: 3.854857661372769x + 3 = 27 FINAL:
6.225911
6.225911
linear_solve
0
sinusoid
2.5
1
0
62
3.902455
Solve for x: 3.9024548389919356x + 3 = 27 FINAL:
6.149975
6.149975
linear_solve
0
sinusoid
2.5
1
0
63
3.950991
Solve for x: 3.9509914298352196x + 3 = 27 FINAL:
6.074425
6.074425
linear_solve
0
sinusoid
2.5
2
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
2
0
1
4.097545
Solve for x: 4.097545161008064x + 3 = 27 FINAL:
5.857165
5.857165
linear_solve
0
sinusoid
2.5
2
0
2
4.191342
Solve for x: 4.191341716182545x + 3 = 27 FINAL:
5.72609
5.72609
linear_solve
0
sinusoid
2.5
2
0
3
4.277785
Solve for x: 4.277785116509801x + 3 = 27 FINAL:
5.61038
5.61038
linear_solve
0
sinusoid
2.5
2
0
4
4.353553
Solve for x: 4.353553390593274x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
2
0
5
4.415735
Solve for x: 4.4157348061512725x + 3 = 27 FINAL:
5.435109
5.435109
linear_solve
0
sinusoid
2.5
2
0
6
4.46194
Solve for x: 4.461939766255643x + 3 = 27 FINAL:
5.378827
5.378827
linear_solve
0
sinusoid
2.5
2
0
7
4.490393
Solve for x: 4.490392640201615x + 3 = 27 FINAL:
5.344744
5.344744
linear_solve
0
sinusoid
2.5
2
0
8
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
2
0
9
4.490393
Solve for x: 4.490392640201615x + 3 = 27 FINAL:
5.344744
5.344744
linear_solve
0
sinusoid
2.5
2
0
10
4.46194
Solve for x: 4.461939766255643x + 3 = 27 FINAL:
5.378827
5.378827
linear_solve
0
sinusoid
2.5
2
0
11
4.415735
Solve for x: 4.4157348061512725x + 3 = 27 FINAL:
5.435109
5.435109
linear_solve
0
sinusoid
2.5
2
0
12
4.353553
Solve for x: 4.353553390593274x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
2
0
13
4.277785
Solve for x: 4.277785116509801x + 3 = 27 FINAL:
5.61038
5.61038
linear_solve
0
sinusoid
2.5
2
0
14
4.191342
Solve for x: 4.191341716182545x + 3 = 27 FINAL:
5.72609
5.72609
linear_solve
0
sinusoid
2.5
2
0
15
4.097545
Solve for x: 4.097545161008064x + 3 = 27 FINAL:
5.857165
5.857165
linear_solve
0
sinusoid
2.5
2
0
16
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
2
0
17
3.902455
Solve for x: 3.902454838991936x + 3 = 27 FINAL:
6.149975
6.149975
linear_solve
0
sinusoid
2.5
2
0
18
3.808658
Solve for x: 3.808658283817455x + 3 = 27 FINAL:
6.301432
6.301432
linear_solve
0
sinusoid
2.5
2
0
19
3.722215
Solve for x: 3.722214883490199x + 3 = 27 FINAL:
6.447774
6.447774
linear_solve
0
sinusoid
2.5
2
0
20
3.646447
Solve for x: 3.646446609406726x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
2
0
21
3.584265
Solve for x: 3.5842651938487275x + 3 = 27 FINAL:
6.695933
6.695933
linear_solve
0
sinusoid
2.5
2
0
22
3.53806
Solve for x: 3.538060233744357x + 3 = 27 FINAL:
6.783378
6.783378
linear_solve
0
sinusoid
2.5
2
0
23
3.509607
Solve for x: 3.509607359798385x + 3 = 27 FINAL:
6.838372
6.838372
linear_solve
0
sinusoid
2.5
2
0
24
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
2
0
25
3.509607
Solve for x: 3.509607359798385x + 3 = 27 FINAL:
6.838372
6.838372
linear_solve
0
sinusoid
2.5
2
0
26
3.53806
Solve for x: 3.5380602337443565x + 3 = 27 FINAL:
6.783378
6.783378
linear_solve
0
sinusoid
2.5
2
0
27
3.584265
Solve for x: 3.584265193848727x + 3 = 27 FINAL:
6.695933
6.695933
linear_solve
0
sinusoid
2.5
2
0
28
3.646447
Solve for x: 3.646446609406726x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
2
0
29
3.722215
Solve for x: 3.722214883490199x + 3 = 27 FINAL:
6.447774
6.447774
linear_solve
0
sinusoid
2.5
2
0
30
3.808658
Solve for x: 3.8086582838174547x + 3 = 27 FINAL:
6.301432
6.301432
linear_solve
0
sinusoid
2.5
2
0
31
3.902455
Solve for x: 3.9024548389919356x + 3 = 27 FINAL:
6.149975
6.149975
linear_solve
0
sinusoid
2.5
2
0
32
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
2
0
33
4.097545
Solve for x: 4.097545161008064x + 3 = 27 FINAL:
5.857165
5.857165
linear_solve
0
sinusoid
2.5
2
0
34
4.191342
Solve for x: 4.191341716182545x + 3 = 27 FINAL:
5.72609
5.72609
linear_solve
0
sinusoid
2.5
2
0
35
4.277785
Solve for x: 4.277785116509801x + 3 = 27 FINAL:
5.61038
5.61038
linear_solve
0
sinusoid
2.5
2
0
36
4.353553
Solve for x: 4.353553390593274x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
2
0
37
4.415735
Solve for x: 4.4157348061512725x + 3 = 27 FINAL:
5.435109
5.435109
linear_solve
0
sinusoid
2.5
2
0
38
4.46194
Solve for x: 4.461939766255643x + 3 = 27 FINAL:
5.378827
5.378827
linear_solve
0
sinusoid
2.5
2
0
39
4.490393
Solve for x: 4.490392640201615x + 3 = 27 FINAL:
5.344744
5.344744
linear_solve
0
sinusoid
2.5
2
0
40
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
2
0
41
4.490393
Solve for x: 4.490392640201615x + 3 = 27 FINAL:
5.344744
5.344744
linear_solve
0
sinusoid
2.5
2
0
42
4.46194
Solve for x: 4.461939766255643x + 3 = 27 FINAL:
5.378827
5.378827
linear_solve
0
sinusoid
2.5
2
0
43
4.415735
Solve for x: 4.4157348061512725x + 3 = 27 FINAL:
5.435109
5.435109
linear_solve
0
sinusoid
2.5
2
0
44
4.353553
Solve for x: 4.353553390593274x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
2
0
45
4.277785
Solve for x: 4.2777851165098015x + 3 = 27 FINAL:
5.61038
5.61038
linear_solve
0
sinusoid
2.5
2
0
46
4.191342
Solve for x: 4.191341716182546x + 3 = 27 FINAL:
5.72609
5.72609
linear_solve
0
sinusoid
2.5
2
0
47
4.097545
Solve for x: 4.097545161008064x + 3 = 27 FINAL:
5.857165
5.857165
linear_solve
0
sinusoid
2.5
2
0
48
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
2
0
49
3.902455
Solve for x: 3.9024548389919365x + 3 = 27 FINAL:
6.149975
6.149975
linear_solve
0
sinusoid
2.5
2
0
50
3.808658
Solve for x: 3.808658283817455x + 3 = 27 FINAL:
6.301432
6.301432
linear_solve
0
sinusoid
2.5
2
0
51
3.722215
Solve for x: 3.7222148834901994x + 3 = 27 FINAL:
6.447774
6.447774
linear_solve
0
sinusoid
2.5
2
0
52
3.646447
Solve for x: 3.646446609406726x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
2
0
53
3.584265
Solve for x: 3.5842651938487275x + 3 = 27 FINAL:
6.695933
6.695933
linear_solve
0
sinusoid
2.5
2
0
54
3.53806
Solve for x: 3.538060233744357x + 3 = 27 FINAL:
6.783378
6.783378
linear_solve
0
sinusoid
2.5
2
0
55
3.509607
Solve for x: 3.509607359798385x + 3 = 27 FINAL:
6.838372
6.838372
linear_solve
0
sinusoid
2.5
2
0
56
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
2
0
57
3.509607
Solve for x: 3.509607359798385x + 3 = 27 FINAL:
6.838372
6.838372
linear_solve
0
sinusoid
2.5
2
0
58
3.53806
Solve for x: 3.5380602337443565x + 3 = 27 FINAL:
6.783378
6.783378
linear_solve
0
sinusoid
2.5
2
0
59
3.584265
Solve for x: 3.584265193848727x + 3 = 27 FINAL:
6.695933
6.695933
linear_solve
0
sinusoid
2.5
2
0
60
3.646447
Solve for x: 3.6464466094067256x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
2
0
61
3.722215
Solve for x: 3.722214883490199x + 3 = 27 FINAL:
6.447774
6.447774
linear_solve
0
sinusoid
2.5
2
0
62
3.808658
Solve for x: 3.8086582838174547x + 3 = 27 FINAL:
6.301432
6.301432
linear_solve
0
sinusoid
2.5
2
0
63
3.902455
Solve for x: 3.902454838991936x + 3 = 27 FINAL:
6.149975
6.149975
linear_solve
0
sinusoid
2.5
4
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
4
0
1
4.191342
Solve for x: 4.191341716182545x + 3 = 27 FINAL:
5.72609
5.72609
linear_solve
0
sinusoid
2.5
4
0
2
4.353553
Solve for x: 4.353553390593274x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
4
0
3
4.46194
Solve for x: 4.461939766255643x + 3 = 27 FINAL:
5.378827
5.378827
linear_solve
0
sinusoid
2.5
4
0
4
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
4
0
5
4.46194
Solve for x: 4.461939766255643x + 3 = 27 FINAL:
5.378827
5.378827
linear_solve
0
sinusoid
2.5
4
0
6
4.353553
Solve for x: 4.353553390593274x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
4
0
7
4.191342
Solve for x: 4.191341716182545x + 3 = 27 FINAL:
5.72609
5.72609
linear_solve
0
sinusoid
2.5
4
0
8
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
4
0
9
3.808658
Solve for x: 3.808658283817455x + 3 = 27 FINAL:
6.301432
6.301432
linear_solve
0
sinusoid
2.5
4
0
10
3.646447
Solve for x: 3.646446609406726x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
4
0
11
3.53806
Solve for x: 3.538060233744357x + 3 = 27 FINAL:
6.783378
6.783378