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
240
0
3.566987
Solve for x: 3.566987298107781x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
1
240
1
3.544568
Solve for x: 3.544568087539412x + 3 = 27 FINAL:
6.770924
6.770924
linear_solve
0
sinusoid
2.5
1
240
2
3.526535
Solve for x: 3.5265349352524473x + 3 = 27 FINAL:
6.805547
6.805547
linear_solve
0
sinusoid
2.5
1
240
3
3.513062
Solve for x: 3.513061510361333x + 3 = 27 FINAL:
6.831648
6.831648
linear_solve
0
sinusoid
2.5
1
240
4
3.504278
Solve for x: 3.504277569313095x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
1
240
5
3.500268
Solve for x: 3.500267706261817x + 3 = 27 FINAL:
6.856618
6.856618
linear_solve
0
sinusoid
2.5
1
240
6
3.501071
Solve for x: 3.501070538380698x + 3 = 27 FINAL:
6.855046
6.855046
linear_solve
0
sinusoid
2.5
1
240
7
3.506678
Solve for x: 3.5066783339575607x + 3 = 27 FINAL:
6.844084
6.844084
linear_solve
0
sinusoid
2.5
1
240
8
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
1
240
9
3.532047
Solve for x: 3.532047036621337x + 3 = 27 FINAL:
6.794926
6.794926
linear_solve
0
sinusoid
2.5
1
240
10
3.551564
Solve for x: 3.5515636292336557x + 3 = 27 FINAL:
6.757587
6.757587
linear_solve
0
sinusoid
2.5
1
240
11
3.575399
Solve for x: 3.57539890923671x + 3 = 27 FINAL:
6.712538
6.712538
linear_solve
0
sinusoid
2.5
1
240
12
3.603323
Solve for x: 3.6033233298543825x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
1
240
13
3.635068
Solve for x: 3.635067963651082x + 3 = 27 FINAL:
6.602352
6.602352
linear_solve
0
sinusoid
2.5
1
240
14
3.670327
Solve for x: 3.6703270924499654x + 3 = 27 FINAL:
6.538927
6.538927
linear_solve
0
sinusoid
2.5
1
240
15
3.708761
Solve for x: 3.7087611515660983x + 3 = 27 FINAL:
6.471164
6.471164
linear_solve
0
sinusoid
2.5
1
240
16
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
1
240
17
3.793646
Solve for x: 3.7936464850978027x + 3 = 27 FINAL:
6.326367
6.326367
linear_solve
0
sinusoid
2.5
1
240
18
3.83928
Solve for x: 3.839280267348419x + 3 = 27 FINAL:
6.251172
6.251172
linear_solve
0
sinusoid
2.5
1
240
19
3.886462
Solve for x: 3.886461868482813x + 3 = 27 FINAL:
6.175283
6.175283
linear_solve
0
sinusoid
2.5
1
240
20
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
1
240
21
3.98364
Solve for x: 3.983640458589112x + 3 = 27 FINAL:
6.02464
6.02464
linear_solve
0
sinusoid
2.5
1
240
22
4.032702
Solve for x: 4.0327015646150715x + 3 = 27 FINAL:
5.951345
5.951345
linear_solve
0
sinusoid
2.5
1
240
23
4.081448
Solve for x: 4.081447736697294x + 3 = 27 FINAL:
5.880266
5.880266
linear_solve
0
sinusoid
2.5
1
240
24
4.12941
Solve for x: 4.12940952255126x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
1
240
25
4.176125
Solve for x: 4.1761250239606165x + 3 = 27 FINAL:
5.746954
5.746954
linear_solve
0
sinusoid
2.5
1
240
26
4.221144
Solve for x: 4.221144345109501x + 3 = 27 FINAL:
5.685662
5.685662
linear_solve
0
sinusoid
2.5
1
240
27
4.264034
Solve for x: 4.264033925325184x + 3 = 27 FINAL:
5.628473
5.628473
linear_solve
0
sinusoid
2.5
1
240
28
4.304381
Solve for x: 4.304380714504361x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
1
240
29
4.341796
Solve for x: 4.341796151011436x + 3 = 27 FINAL:
5.527666
5.527666
linear_solve
0
sinusoid
2.5
1
240
30
4.37592
Solve for x: 4.375919903739488x + 3 = 27 FINAL:
5.484561
5.484561
linear_solve
0
sinusoid
2.5
1
240
31
4.406423
Solve for x: 4.406423342295807x + 3 = 27 FINAL:
5.446594
5.446594
linear_solve
0
sinusoid
2.5
1
240
32
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
1
240
33
4.455432
Solve for x: 4.455431912460588x + 3 = 27 FINAL:
5.386683
5.386683
linear_solve
0
sinusoid
2.5
1
240
34
4.473465
Solve for x: 4.473465064747553x + 3 = 27 FINAL:
5.364969
5.364969
linear_solve
0
sinusoid
2.5
1
240
35
4.486938
Solve for x: 4.486938489638667x + 3 = 27 FINAL:
5.348859
5.348859
linear_solve
0
sinusoid
2.5
1
240
36
4.495722
Solve for x: 4.4957224306869055x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
1
240
37
4.499732
Solve for x: 4.499732293738183x + 3 = 27 FINAL:
5.333651
5.333651
linear_solve
0
sinusoid
2.5
1
240
38
4.498929
Solve for x: 4.498929461619301x + 3 = 27 FINAL:
5.334602
5.334602
linear_solve
0
sinusoid
2.5
1
240
39
4.493322
Solve for x: 4.49332166604244x + 3 = 27 FINAL:
5.34126
5.34126
linear_solve
0
sinusoid
2.5
1
240
40
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
1
240
41
4.467953
Solve for x: 4.467952963378663x + 3 = 27 FINAL:
5.371587
5.371587
linear_solve
0
sinusoid
2.5
1
240
42
4.448436
Solve for x: 4.448436370766345x + 3 = 27 FINAL:
5.395154
5.395154
linear_solve
0
sinusoid
2.5
1
240
43
4.424601
Solve for x: 4.42460109076329x + 3 = 27 FINAL:
5.424218
5.424218
linear_solve
0
sinusoid
2.5
1
240
44
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
1
240
45
4.364932
Solve for x: 4.364932036348918x + 3 = 27 FINAL:
5.498367
5.498367
linear_solve
0
sinusoid
2.5
1
240
46
4.329673
Solve for x: 4.329672907550035x + 3 = 27 FINAL:
5.543144
5.543144
linear_solve
0
sinusoid
2.5
1
240
47
4.291239
Solve for x: 4.291238848433901x + 3 = 27 FINAL:
5.592791
5.592791
linear_solve
0
sinusoid
2.5
1
240
48
4.25
Solve for x: 4.25x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
1
240
49
4.206354
Solve for x: 4.206353514902197x + 3 = 27 FINAL:
5.705655
5.705655
linear_solve
0
sinusoid
2.5
1
240
50
4.16072
Solve for x: 4.160719732651581x + 3 = 27 FINAL:
5.768233
5.768233
linear_solve
0
sinusoid
2.5
1
240
51
4.113538
Solve for x: 4.113538131517187x + 3 = 27 FINAL:
5.834393
5.834393
linear_solve
0
sinusoid
2.5
1
240
52
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
1
240
53
4.01636
Solve for x: 4.016359541410889x + 3 = 27 FINAL:
5.975561
5.975561
linear_solve
0
sinusoid
2.5
1
240
54
3.967298
Solve for x: 3.9672984353849294x + 3 = 27 FINAL:
6.049457
6.049457
linear_solve
0
sinusoid
2.5
1
240
55
3.918552
Solve for x: 3.918552263302706x + 3 = 27 FINAL:
6.124711
6.124711
linear_solve
0
sinusoid
2.5
1
240
56
3.87059
Solve for x: 3.87059047744874x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
1
240
57
3.823875
Solve for x: 3.8238749760393835x + 3 = 27 FINAL:
6.276356
6.276356
linear_solve
0
sinusoid
2.5
1
240
58
3.778856
Solve for x: 3.7788556548904992x + 3 = 27 FINAL:
6.351129
6.351129
linear_solve
0
sinusoid
2.5
1
240
59
3.735966
Solve for x: 3.735966074674816x + 3 = 27 FINAL:
6.424041
6.424041
linear_solve
0
sinusoid
2.5
1
240
60
3.695619
Solve for x: 3.69561928549564x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
1
240
61
3.658204
Solve for x: 3.6582038489885647x + 3 = 27 FINAL:
6.560597
6.560597
linear_solve
0
sinusoid
2.5
1
240
62
3.62408
Solve for x: 3.6240800962605118x + 3 = 27 FINAL:
6.62237
6.62237
linear_solve
0
sinusoid
2.5
1
240
63
3.593577
Solve for x: 3.593576657704193x + 3 = 27 FINAL:
6.678583
6.678583
linear_solve
0
sinusoid
2.5
2
240
0
3.566987
Solve for x: 3.566987298107781x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
2
240
1
3.526535
Solve for x: 3.5265349352524473x + 3 = 27 FINAL:
6.805547
6.805547
linear_solve
0
sinusoid
2.5
2
240
2
3.504278
Solve for x: 3.504277569313095x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
2
240
3
3.501071
Solve for x: 3.501070538380698x + 3 = 27 FINAL:
6.855046
6.855046
linear_solve
0
sinusoid
2.5
2
240
4
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
2
240
5
3.551564
Solve for x: 3.5515636292336557x + 3 = 27 FINAL:
6.757587
6.757587
linear_solve
0
sinusoid
2.5
2
240
6
3.603323
Solve for x: 3.6033233298543825x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
2
240
7
3.670327
Solve for x: 3.6703270924499654x + 3 = 27 FINAL:
6.538927
6.538927
linear_solve
0
sinusoid
2.5
2
240
8
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
2
240
9
3.83928
Solve for x: 3.839280267348419x + 3 = 27 FINAL:
6.251172
6.251172
linear_solve
0
sinusoid
2.5
2
240
10
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
2
240
11
4.032702
Solve for x: 4.0327015646150715x + 3 = 27 FINAL:
5.951345
5.951345
linear_solve
0
sinusoid
2.5
2
240
12
4.12941
Solve for x: 4.12940952255126x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
2
240
13
4.221144
Solve for x: 4.221144345109501x + 3 = 27 FINAL:
5.685662
5.685662
linear_solve
0
sinusoid
2.5
2
240
14
4.304381
Solve for x: 4.304380714504361x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
2
240
15
4.37592
Solve for x: 4.375919903739488x + 3 = 27 FINAL:
5.484561
5.484561
linear_solve
0
sinusoid
2.5
2
240
16
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
2
240
17
4.473465
Solve for x: 4.473465064747553x + 3 = 27 FINAL:
5.364969
5.364969
linear_solve
0
sinusoid
2.5
2
240
18
4.495722
Solve for x: 4.4957224306869055x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
2
240
19
4.498929
Solve for x: 4.498929461619301x + 3 = 27 FINAL:
5.334602
5.334602
linear_solve
0
sinusoid
2.5
2
240
20
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
2
240
21
4.448436
Solve for x: 4.448436370766345x + 3 = 27 FINAL:
5.395154
5.395154
linear_solve
0
sinusoid
2.5
2
240
22
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
2
240
23
4.329673
Solve for x: 4.329672907550035x + 3 = 27 FINAL:
5.543144
5.543144
linear_solve
0
sinusoid
2.5
2
240
24
4.25
Solve for x: 4.25x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
2
240
25
4.16072
Solve for x: 4.160719732651581x + 3 = 27 FINAL:
5.768233
5.768233
linear_solve
0
sinusoid
2.5
2
240
26
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
2
240
27
3.967298
Solve for x: 3.9672984353849294x + 3 = 27 FINAL:
6.049457
6.049457
linear_solve
0
sinusoid
2.5
2
240
28
3.87059
Solve for x: 3.87059047744874x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
2
240
29
3.778856
Solve for x: 3.7788556548904992x + 3 = 27 FINAL:
6.351129
6.351129
linear_solve
0
sinusoid
2.5
2
240
30
3.695619
Solve for x: 3.69561928549564x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
2
240
31
3.62408
Solve for x: 3.6240800962605118x + 3 = 27 FINAL:
6.62237
6.62237
linear_solve
0
sinusoid
2.5
2
240
32
3.566987
Solve for x: 3.5669872981077813x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
2
240
33
3.526535
Solve for x: 3.5265349352524473x + 3 = 27 FINAL:
6.805547
6.805547
linear_solve
0
sinusoid
2.5
2
240
34
3.504278
Solve for x: 3.5042775693130945x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
2
240
35
3.501071
Solve for x: 3.501070538380698x + 3 = 27 FINAL:
6.855046
6.855046