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
16
120
44
4.173205
Solve for x: 4.173205080756889x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
16
120
45
3.9
Solve for x: 3.900000000000001x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
16
120
46
3.826795
Solve for x: 3.8267949192431114x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
16
120
47
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
16
120
48
4.173205
Solve for x: 4.173205080756889x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
16
120
49
3.9
Solve for x: 3.9000000000000017x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
16
120
50
3.826795
Solve for x: 3.826794919243112x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
16
120
51
4.1
Solve for x: 4.099999999999999x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
16
120
52
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
16
120
53
3.9
Solve for x: 3.900000000000001x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
16
120
54
3.826795
Solve for x: 3.8267949192431114x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
16
120
55
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
16
120
56
4.173205
Solve for x: 4.173205080756889x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
16
120
57
3.9
Solve for x: 3.900000000000002x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
16
120
58
3.826795
Solve for x: 3.826794919243112x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
16
120
59
4.1
Solve for x: 4.099999999999999x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
16
120
60
4.173205
Solve for x: 4.1732050807568895x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
16
120
61
3.9
Solve for x: 3.900000000000001x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
16
120
62
3.826795
Solve for x: 3.8267949192431114x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
16
120
63
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
1
240
0
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
1
240
1
3.817827
Solve for x: 3.817827235015765x + 3 = 27 FINAL:
6.286298
6.286298
linear_solve
0
sinusoid
1
1
240
2
3.810614
Solve for x: 3.810613974100979x + 3 = 27 FINAL:
6.298198
6.298198
linear_solve
0
sinusoid
1
1
240
3
3.805225
Solve for x: 3.8052246041445335x + 3 = 27 FINAL:
6.307118
6.307118
linear_solve
0
sinusoid
1
1
240
4
3.801711
Solve for x: 3.801711027725238x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
1
240
5
3.800107
Solve for x: 3.8001070825047267x + 3 = 27 FINAL:
6.315612
6.315612
linear_solve
0
sinusoid
1
1
240
6
3.800428
Solve for x: 3.8004282153522793x + 3 = 27 FINAL:
6.315078
6.315078
linear_solve
0
sinusoid
1
1
240
7
3.802671
Solve for x: 3.802671333583024x + 3 = 27 FINAL:
6.311353
6.311353
linear_solve
0
sinusoid
1
1
240
8
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
1
240
9
3.812819
Solve for x: 3.812818814648535x + 3 = 27 FINAL:
6.294556
6.294556
linear_solve
0
sinusoid
1
1
240
10
3.820625
Solve for x: 3.8206254516934623x + 3 = 27 FINAL:
6.281694
6.281694
linear_solve
0
sinusoid
1
1
240
11
3.83016
Solve for x: 3.830159563694684x + 3 = 27 FINAL:
6.266057
6.266057
linear_solve
0
sinusoid
1
1
240
12
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
1
240
13
3.854027
Solve for x: 3.8540271854604327x + 3 = 27 FINAL:
6.227252
6.227252
linear_solve
0
sinusoid
1
1
240
14
3.868131
Solve for x: 3.868130836979986x + 3 = 27 FINAL:
6.204547
6.204547
linear_solve
0
sinusoid
1
1
240
15
3.883504
Solve for x: 3.8835044606264395x + 3 = 27 FINAL:
6.179985
6.179985
linear_solve
0
sinusoid
1
1
240
16
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
1
240
17
3.917459
Solve for x: 3.917458594039121x + 3 = 27 FINAL:
6.126421
6.126421
linear_solve
0
sinusoid
1
1
240
18
3.935712
Solve for x: 3.9357121069393677x + 3 = 27 FINAL:
6.098007
6.098007
linear_solve
0
sinusoid
1
1
240
19
3.954585
Solve for x: 3.9545847473931253x + 3 = 27 FINAL:
6.068905
6.068905
linear_solve
0
sinusoid
1
1
240
20
3.973895
Solve for x: 3.9738947615559894x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
1
240
21
3.993456
Solve for x: 3.9934561834356446x + 3 = 27 FINAL:
6.009832
6.009832
linear_solve
0
sinusoid
1
1
240
22
4.013081
Solve for x: 4.013080625846029x + 3 = 27 FINAL:
5.980443
5.980443
linear_solve
0
sinusoid
1
1
240
23
4.032579
Solve for x: 4.032579094678917x + 3 = 27 FINAL:
5.951526
5.951526
linear_solve
0
sinusoid
1
1
240
24
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
1
240
25
4.07045
Solve for x: 4.070450009584246x + 3 = 27 FINAL:
5.896154
5.896154
linear_solve
0
sinusoid
1
1
240
26
4.088458
Solve for x: 4.0884577380438x + 3 = 27 FINAL:
5.870184
5.870184
linear_solve
0
sinusoid
1
1
240
27
4.105614
Solve for x: 4.105613570130074x + 3 = 27 FINAL:
5.845655
5.845655
linear_solve
0
sinusoid
1
1
240
28
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
1
240
29
4.136718
Solve for x: 4.136718460404574x + 3 = 27 FINAL:
5.8017
5.8017
linear_solve
0
sinusoid
1
1
240
30
4.150368
Solve for x: 4.150367961495795x + 3 = 27 FINAL:
5.78262
5.78262
linear_solve
0
sinusoid
1
1
240
31
4.162569
Solve for x: 4.162569336918323x + 3 = 27 FINAL:
5.76567
5.76567
linear_solve
0
sinusoid
1
1
240
32
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
1
240
33
4.182173
Solve for x: 4.1821727649842355x + 3 = 27 FINAL:
5.738644
5.738644
linear_solve
0
sinusoid
1
1
240
34
4.189386
Solve for x: 4.189386025899021x + 3 = 27 FINAL:
5.728763
5.728763
linear_solve
0
sinusoid
1
1
240
35
4.194775
Solve for x: 4.1947753958554665x + 3 = 27 FINAL:
5.721403
5.721403
linear_solve
0
sinusoid
1
1
240
36
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
1
240
37
4.199893
Solve for x: 4.199892917495273x + 3 = 27 FINAL:
5.714431
5.714431
linear_solve
0
sinusoid
1
1
240
38
4.199572
Solve for x: 4.199571784647721x + 3 = 27 FINAL:
5.714868
5.714868
linear_solve
0
sinusoid
1
1
240
39
4.197329
Solve for x: 4.1973286664169756x + 3 = 27 FINAL:
5.717922
5.717922
linear_solve
0
sinusoid
1
1
240
40
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
1
240
41
4.187181
Solve for x: 4.1871811853514656x + 3 = 27 FINAL:
5.73178
5.73178
linear_solve
0
sinusoid
1
1
240
42
4.179375
Solve for x: 4.179374548306538x + 3 = 27 FINAL:
5.742486
5.742486
linear_solve
0
sinusoid
1
1
240
43
4.16984
Solve for x: 4.169840436305316x + 3 = 27 FINAL:
5.755616
5.755616
linear_solve
0
sinusoid
1
1
240
44
4.158671
Solve for x: 4.158670668058248x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
1
240
45
4.145973
Solve for x: 4.145972814539567x + 3 = 27 FINAL:
5.78875
5.78875
linear_solve
0
sinusoid
1
1
240
46
4.131869
Solve for x: 4.1318691630200135x + 3 = 27 FINAL:
5.808509
5.808509
linear_solve
0
sinusoid
1
1
240
47
4.116496
Solve for x: 4.1164955393735605x + 3 = 27 FINAL:
5.830202
5.830202
linear_solve
0
sinusoid
1
1
240
48
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
1
240
49
4.082541
Solve for x: 4.082541405960879x + 3 = 27 FINAL:
5.878691
5.878691
linear_solve
0
sinusoid
1
1
240
50
4.064288
Solve for x: 4.064287893060633x + 3 = 27 FINAL:
5.905093
5.905093
linear_solve
0
sinusoid
1
1
240
51
4.045415
Solve for x: 4.045415252606875x + 3 = 27 FINAL:
5.932642
5.932642
linear_solve
0
sinusoid
1
1
240
52
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
1
240
53
4.006544
Solve for x: 4.006543816564355x + 3 = 27 FINAL:
5.9902
5.9902
linear_solve
0
sinusoid
1
1
240
54
3.986919
Solve for x: 3.9869193741539717x + 3 = 27 FINAL:
6.019685
6.019685
linear_solve
0
sinusoid
1
1
240
55
3.967421
Solve for x: 3.9674209053210823x + 3 = 27 FINAL:
6.04927
6.04927
linear_solve
0
sinusoid
1
1
240
56
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
1
240
57
3.92955
Solve for x: 3.9295499904157536x + 3 = 27 FINAL:
6.10757
6.10757
linear_solve
0
sinusoid
1
1
240
58
3.911542
Solve for x: 3.9115422619561997x + 3 = 27 FINAL:
6.135687
6.135687
linear_solve
0
sinusoid
1
1
240
59
3.894386
Solve for x: 3.8943864298699262x + 3 = 27 FINAL:
6.162717
6.162717
linear_solve
0
sinusoid
1
1
240
60
3.878248
Solve for x: 3.878247714198256x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
1
240
61
3.863282
Solve for x: 3.863281539595426x + 3 = 27 FINAL:
6.212335
6.212335
linear_solve
0
sinusoid
1
1
240
62
3.849632
Solve for x: 3.8496320385042044x + 3 = 27 FINAL:
6.234362
6.234362
linear_solve
0
sinusoid
1
1
240
63
3.837431
Solve for x: 3.837430663081677x + 3 = 27 FINAL:
6.254185
6.254185
linear_solve
0
sinusoid
1
2
240
0
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
2
240
1
3.810614
Solve for x: 3.810613974100979x + 3 = 27 FINAL:
6.298198
6.298198
linear_solve
0
sinusoid
1
2
240
2
3.801711
Solve for x: 3.801711027725238x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
2
240
3
3.800428
Solve for x: 3.8004282153522793x + 3 = 27 FINAL:
6.315078
6.315078
linear_solve
0
sinusoid
1
2
240
4
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
2
240
5
3.820625
Solve for x: 3.8206254516934623x + 3 = 27 FINAL:
6.281694
6.281694
linear_solve
0
sinusoid
1
2
240
6
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
2
240
7
3.868131
Solve for x: 3.868130836979986x + 3 = 27 FINAL:
6.204547
6.204547
linear_solve
0
sinusoid
1
2
240
8
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
2
240
9
3.935712
Solve for x: 3.9357121069393677x + 3 = 27 FINAL:
6.098007
6.098007
linear_solve
0
sinusoid
1
2
240
10
3.973895
Solve for x: 3.9738947615559894x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
2
240
11
4.013081
Solve for x: 4.013080625846029x + 3 = 27 FINAL:
5.980443
5.980443
linear_solve
0
sinusoid
1
2
240
12
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
2
240
13
4.088458
Solve for x: 4.0884577380438x + 3 = 27 FINAL:
5.870184
5.870184
linear_solve
0
sinusoid
1
2
240
14
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
2
240
15
4.150368
Solve for x: 4.150367961495795x + 3 = 27 FINAL:
5.78262
5.78262