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
1
1
120
0
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
1
120
1
4.162569
Solve for x: 4.162569336918323x + 3 = 27 FINAL:
5.76567
5.76567
linear_solve
0
sinusoid
1
1
120
2
4.150368
Solve for x: 4.150367961495796x + 3 = 27 FINAL:
5.78262
5.78262
linear_solve
0
sinusoid
1
1
120
3
4.136718
Solve for x: 4.136718460404574x + 3 = 27 FINAL:
5.8017
5.8017
linear_solve
0
sinusoid
1
1
120
4
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
1
120
5
4.105614
Solve for x: 4.105613570130074x + 3 = 27 FINAL:
5.845655
5.845655
linear_solve
0
sinusoid
1
1
120
6
4.088458
Solve for x: 4.0884577380438x + 3 = 27 FINAL:
5.870184
5.870184
linear_solve
0
sinusoid
1
1
120
7
4.07045
Solve for x: 4.070450009584246x + 3 = 27 FINAL:
5.896154
5.896154
linear_solve
0
sinusoid
1
1
120
8
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
1
120
9
4.032579
Solve for x: 4.032579094678918x + 3 = 27 FINAL:
5.951526
5.951526
linear_solve
0
sinusoid
1
1
120
10
4.013081
Solve for x: 4.013080625846029x + 3 = 27 FINAL:
5.980443
5.980443
linear_solve
0
sinusoid
1
1
120
11
3.993456
Solve for x: 3.993456183435645x + 3 = 27 FINAL:
6.009832
6.009832
linear_solve
0
sinusoid
1
1
120
12
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
1
120
13
3.954585
Solve for x: 3.9545847473931253x + 3 = 27 FINAL:
6.068905
6.068905
linear_solve
0
sinusoid
1
1
120
14
3.935712
Solve for x: 3.9357121069393677x + 3 = 27 FINAL:
6.098007
6.098007
linear_solve
0
sinusoid
1
1
120
15
3.917459
Solve for x: 3.917458594039121x + 3 = 27 FINAL:
6.126421
6.126421
linear_solve
0
sinusoid
1
1
120
16
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
1
120
17
3.883504
Solve for x: 3.8835044606264395x + 3 = 27 FINAL:
6.179985
6.179985
linear_solve
0
sinusoid
1
1
120
18
3.868131
Solve for x: 3.8681308369799865x + 3 = 27 FINAL:
6.204547
6.204547
linear_solve
0
sinusoid
1
1
120
19
3.854027
Solve for x: 3.854027185460433x + 3 = 27 FINAL:
6.227252
6.227252
linear_solve
0
sinusoid
1
1
120
20
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
1
120
21
3.83016
Solve for x: 3.8301595636946844x + 3 = 27 FINAL:
6.266057
6.266057
linear_solve
0
sinusoid
1
1
120
22
3.820625
Solve for x: 3.8206254516934623x + 3 = 27 FINAL:
6.281694
6.281694
linear_solve
0
sinusoid
1
1
120
23
3.812819
Solve for x: 3.812818814648535x + 3 = 27 FINAL:
6.294556
6.294556
linear_solve
0
sinusoid
1
1
120
24
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
1
120
25
3.802671
Solve for x: 3.802671333583024x + 3 = 27 FINAL:
6.311353
6.311353
linear_solve
0
sinusoid
1
1
120
26
3.800428
Solve for x: 3.8004282153522793x + 3 = 27 FINAL:
6.315078
6.315078
linear_solve
0
sinusoid
1
1
120
27
3.800107
Solve for x: 3.8001070825047267x + 3 = 27 FINAL:
6.315612
6.315612
linear_solve
0
sinusoid
1
1
120
28
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
1
120
29
3.805225
Solve for x: 3.8052246041445335x + 3 = 27 FINAL:
6.307118
6.307118
linear_solve
0
sinusoid
1
1
120
30
3.810614
Solve for x: 3.810613974100979x + 3 = 27 FINAL:
6.298198
6.298198
linear_solve
0
sinusoid
1
1
120
31
3.817827
Solve for x: 3.817827235015765x + 3 = 27 FINAL:
6.286298
6.286298
linear_solve
0
sinusoid
1
1
120
32
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
1
120
33
3.837431
Solve for x: 3.837430663081677x + 3 = 27 FINAL:
6.254185
6.254185
linear_solve
0
sinusoid
1
1
120
34
3.849632
Solve for x: 3.8496320385042044x + 3 = 27 FINAL:
6.234362
6.234362
linear_solve
0
sinusoid
1
1
120
35
3.863282
Solve for x: 3.863281539595426x + 3 = 27 FINAL:
6.212335
6.212335
linear_solve
0
sinusoid
1
1
120
36
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
1
120
37
3.894386
Solve for x: 3.8943864298699262x + 3 = 27 FINAL:
6.162717
6.162717
linear_solve
0
sinusoid
1
1
120
38
3.911542
Solve for x: 3.9115422619561997x + 3 = 27 FINAL:
6.135687
6.135687
linear_solve
0
sinusoid
1
1
120
39
3.92955
Solve for x: 3.929549990415753x + 3 = 27 FINAL:
6.10757
6.10757
linear_solve
0
sinusoid
1
1
120
40
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
1
120
41
3.967421
Solve for x: 3.9674209053210823x + 3 = 27 FINAL:
6.04927
6.04927
linear_solve
0
sinusoid
1
1
120
42
3.986919
Solve for x: 3.9869193741539712x + 3 = 27 FINAL:
6.019685
6.019685
linear_solve
0
sinusoid
1
1
120
43
4.006544
Solve for x: 4.006543816564355x + 3 = 27 FINAL:
5.9902
5.9902
linear_solve
0
sinusoid
1
1
120
44
4.026105
Solve for x: 4.02610523844401x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
1
120
45
4.045415
Solve for x: 4.045415252606874x + 3 = 27 FINAL:
5.932642
5.932642
linear_solve
0
sinusoid
1
1
120
46
4.064288
Solve for x: 4.064287893060632x + 3 = 27 FINAL:
5.905093
5.905093
linear_solve
0
sinusoid
1
1
120
47
4.082541
Solve for x: 4.082541405960879x + 3 = 27 FINAL:
5.878691
5.878691
linear_solve
0
sinusoid
1
1
120
48
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
1
120
49
4.116496
Solve for x: 4.1164955393735605x + 3 = 27 FINAL:
5.830202
5.830202
linear_solve
0
sinusoid
1
1
120
50
4.131869
Solve for x: 4.1318691630200135x + 3 = 27 FINAL:
5.808509
5.808509
linear_solve
0
sinusoid
1
1
120
51
4.145973
Solve for x: 4.145972814539567x + 3 = 27 FINAL:
5.78875
5.78875
linear_solve
0
sinusoid
1
1
120
52
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
1
120
53
4.16984
Solve for x: 4.169840436305316x + 3 = 27 FINAL:
5.755616
5.755616
linear_solve
0
sinusoid
1
1
120
54
4.179375
Solve for x: 4.179374548306537x + 3 = 27 FINAL:
5.742486
5.742486
linear_solve
0
sinusoid
1
1
120
55
4.187181
Solve for x: 4.1871811853514656x + 3 = 27 FINAL:
5.73178
5.73178
linear_solve
0
sinusoid
1
1
120
56
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
1
120
57
4.197329
Solve for x: 4.1973286664169756x + 3 = 27 FINAL:
5.717922
5.717922
linear_solve
0
sinusoid
1
1
120
58
4.199572
Solve for x: 4.199571784647721x + 3 = 27 FINAL:
5.714868
5.714868
linear_solve
0
sinusoid
1
1
120
59
4.199893
Solve for x: 4.199892917495273x + 3 = 27 FINAL:
5.714431
5.714431
linear_solve
0
sinusoid
1
1
120
60
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
1
120
61
4.194775
Solve for x: 4.1947753958554665x + 3 = 27 FINAL:
5.721403
5.721403
linear_solve
0
sinusoid
1
1
120
62
4.189386
Solve for x: 4.189386025899021x + 3 = 27 FINAL:
5.728763
5.728763
linear_solve
0
sinusoid
1
1
120
63
4.182173
Solve for x: 4.1821727649842355x + 3 = 27 FINAL:
5.738644
5.738644
linear_solve
0
sinusoid
1
2
120
0
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
2
120
1
4.150368
Solve for x: 4.150367961495796x + 3 = 27 FINAL:
5.78262
5.78262
linear_solve
0
sinusoid
1
2
120
2
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
2
120
3
4.088458
Solve for x: 4.0884577380438x + 3 = 27 FINAL:
5.870184
5.870184
linear_solve
0
sinusoid
1
2
120
4
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
2
120
5
4.013081
Solve for x: 4.013080625846029x + 3 = 27 FINAL:
5.980443
5.980443
linear_solve
0
sinusoid
1
2
120
6
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
2
120
7
3.935712
Solve for x: 3.9357121069393677x + 3 = 27 FINAL:
6.098007
6.098007
linear_solve
0
sinusoid
1
2
120
8
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
2
120
9
3.868131
Solve for x: 3.8681308369799865x + 3 = 27 FINAL:
6.204547
6.204547
linear_solve
0
sinusoid
1
2
120
10
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
2
120
11
3.820625
Solve for x: 3.8206254516934623x + 3 = 27 FINAL:
6.281694
6.281694
linear_solve
0
sinusoid
1
2
120
12
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
2
120
13
3.800428
Solve for x: 3.8004282153522793x + 3 = 27 FINAL:
6.315078
6.315078
linear_solve
0
sinusoid
1
2
120
14
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
2
120
15
3.810614
Solve for x: 3.810613974100979x + 3 = 27 FINAL:
6.298198
6.298198
linear_solve
0
sinusoid
1
2
120
16
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
2
120
17
3.849632
Solve for x: 3.8496320385042044x + 3 = 27 FINAL:
6.234362
6.234362
linear_solve
0
sinusoid
1
2
120
18
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
2
120
19
3.911542
Solve for x: 3.9115422619561997x + 3 = 27 FINAL:
6.135687
6.135687
linear_solve
0
sinusoid
1
2
120
20
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
2
120
21
3.986919
Solve for x: 3.9869193741539712x + 3 = 27 FINAL:
6.019685
6.019685
linear_solve
0
sinusoid
1
2
120
22
4.026105
Solve for x: 4.02610523844401x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
2
120
23
4.064288
Solve for x: 4.064287893060632x + 3 = 27 FINAL:
5.905093
5.905093
linear_solve
0
sinusoid
1
2
120
24
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
2
120
25
4.131869
Solve for x: 4.1318691630200135x + 3 = 27 FINAL:
5.808509
5.808509
linear_solve
0
sinusoid
1
2
120
26
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
2
120
27
4.179375
Solve for x: 4.179374548306537x + 3 = 27 FINAL:
5.742486
5.742486
linear_solve
0
sinusoid
1
2
120
28
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
2
120
29
4.199572
Solve for x: 4.199571784647721x + 3 = 27 FINAL:
5.714868
5.714868
linear_solve
0
sinusoid
1
2
120
30
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
2
120
31
4.189386
Solve for x: 4.189386025899021x + 3 = 27 FINAL:
5.728763
5.728763
linear_solve
0
sinusoid
1
2
120
32
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
2
120
33
4.150368
Solve for x: 4.150367961495795x + 3 = 27 FINAL:
5.78262
5.78262
linear_solve
0
sinusoid
1
2
120
34
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
2
120
35
4.088458
Solve for x: 4.0884577380438x + 3 = 27 FINAL:
5.870184
5.870184