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
2
240
36
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
2
240
37
3.551564
Solve for x: 3.5515636292336557x + 3 = 27 FINAL:
6.757587
6.757587
linear_solve
0
sinusoid
2.5
2
240
38
3.603323
Solve for x: 3.6033233298543816x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
2
240
39
3.670327
Solve for x: 3.6703270924499654x + 3 = 27 FINAL:
6.538927
6.538927
linear_solve
0
sinusoid
2.5
2
240
40
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
2
240
41
3.83928
Solve for x: 3.839280267348419x + 3 = 27 FINAL:
6.251172
6.251172
linear_solve
0
sinusoid
2.5
2
240
42
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
2
240
43
4.032702
Solve for x: 4.032701564615071x + 3 = 27 FINAL:
5.951345
5.951345
linear_solve
0
sinusoid
2.5
2
240
44
4.12941
Solve for x: 4.129409522551259x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
2
240
45
4.221144
Solve for x: 4.221144345109501x + 3 = 27 FINAL:
5.685662
5.685662
linear_solve
0
sinusoid
2.5
2
240
46
4.304381
Solve for x: 4.30438071450436x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
2
240
47
4.37592
Solve for x: 4.375919903739488x + 3 = 27 FINAL:
5.484561
5.484561
linear_solve
0
sinusoid
2.5
2
240
48
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
2
240
49
4.473465
Solve for x: 4.473465064747552x + 3 = 27 FINAL:
5.364969
5.364969
linear_solve
0
sinusoid
2.5
2
240
50
4.495722
Solve for x: 4.4957224306869055x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
2
240
51
4.498929
Solve for x: 4.498929461619301x + 3 = 27 FINAL:
5.334602
5.334602
linear_solve
0
sinusoid
2.5
2
240
52
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
2
240
53
4.448436
Solve for x: 4.448436370766345x + 3 = 27 FINAL:
5.395154
5.395154
linear_solve
0
sinusoid
2.5
2
240
54
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
2
240
55
4.329673
Solve for x: 4.329672907550034x + 3 = 27 FINAL:
5.543144
5.543144
linear_solve
0
sinusoid
2.5
2
240
56
4.25
Solve for x: 4.25x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
2
240
57
4.16072
Solve for x: 4.1607197326515815x + 3 = 27 FINAL:
5.768233
5.768233
linear_solve
0
sinusoid
2.5
2
240
58
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
2
240
59
3.967298
Solve for x: 3.9672984353849294x + 3 = 27 FINAL:
6.049457
6.049457
linear_solve
0
sinusoid
2.5
2
240
60
3.87059
Solve for x: 3.870590477448741x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
2
240
61
3.778856
Solve for x: 3.7788556548904992x + 3 = 27 FINAL:
6.351129
6.351129
linear_solve
0
sinusoid
2.5
2
240
62
3.695619
Solve for x: 3.69561928549564x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
2
240
63
3.62408
Solve for x: 3.6240800962605118x + 3 = 27 FINAL:
6.62237
6.62237
linear_solve
0
sinusoid
2.5
4
240
0
3.566987
Solve for x: 3.566987298107781x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
4
240
1
3.504278
Solve for x: 3.504277569313095x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
4
240
2
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
4
240
3
3.603323
Solve for x: 3.6033233298543825x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
4
240
4
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
4
240
5
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
4
240
6
4.12941
Solve for x: 4.12940952255126x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
4
240
7
4.304381
Solve for x: 4.304380714504361x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
4
240
8
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
4
240
9
4.495722
Solve for x: 4.4957224306869055x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
4
240
10
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
4
240
11
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
4
240
12
4.25
Solve for x: 4.25x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
4
240
13
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
4
240
14
3.87059
Solve for x: 3.87059047744874x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
4
240
15
3.695619
Solve for x: 3.69561928549564x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
4
240
16
3.566987
Solve for x: 3.5669872981077813x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
4
240
17
3.504278
Solve for x: 3.5042775693130945x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
4
240
18
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
4
240
19
3.603323
Solve for x: 3.6033233298543816x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
4
240
20
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
4
240
21
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
4
240
22
4.12941
Solve for x: 4.129409522551259x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
4
240
23
4.304381
Solve for x: 4.30438071450436x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
4
240
24
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
4
240
25
4.495722
Solve for x: 4.4957224306869055x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
4
240
26
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
4
240
27
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
4
240
28
4.25
Solve for x: 4.25x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
4
240
29
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
4
240
30
3.87059
Solve for x: 3.870590477448741x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
4
240
31
3.695619
Solve for x: 3.69561928549564x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
4
240
32
3.566987
Solve for x: 3.5669872981077813x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
4
240
33
3.504278
Solve for x: 3.5042775693130945x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
4
240
34
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
4
240
35
3.603323
Solve for x: 3.6033233298543816x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
4
240
36
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
4
240
37
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
4
240
38
4.12941
Solve for x: 4.129409522551259x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
4
240
39
4.304381
Solve for x: 4.30438071450436x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
4
240
40
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
4
240
41
4.495722
Solve for x: 4.495722430686905x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
4
240
42
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
4
240
43
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
4
240
44
4.25
Solve for x: 4.250000000000002x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
4
240
45
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
4
240
46
3.87059
Solve for x: 3.870590477448741x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
4
240
47
3.695619
Solve for x: 3.69561928549564x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
4
240
48
3.566987
Solve for x: 3.5669872981077813x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
4
240
49
3.504278
Solve for x: 3.504277569313095x + 3 = 27 FINAL:
6.848773
6.848773
linear_solve
0
sinusoid
2.5
4
240
50
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
4
240
51
3.603323
Solve for x: 3.6033233298543816x + 3 = 27 FINAL:
6.660518
6.660518
linear_solve
0
sinusoid
2.5
4
240
52
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
4
240
53
3.934737
Solve for x: 3.9347369038899735x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
4
240
54
4.12941
Solve for x: 4.129409522551259x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
4
240
55
4.304381
Solve for x: 4.30438071450436x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
4
240
56
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
4
240
57
4.495722
Solve for x: 4.495722430686905x + 3 = 27 FINAL:
5.338408
5.338408
linear_solve
0
sinusoid
2.5
4
240
58
4.482963
Solve for x: 4.482962913144535x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
4
240
59
4.396677
Solve for x: 4.396676670145618x + 3 = 27 FINAL:
5.458668
5.458668
linear_solve
0
sinusoid
2.5
4
240
60
4.25
Solve for x: 4.250000000000002x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
4
240
61
4.065263
Solve for x: 4.0652630961100265x + 3 = 27 FINAL:
5.903677
5.903677
linear_solve
0
sinusoid
2.5
4
240
62
3.87059
Solve for x: 3.870590477448741x + 3 = 27 FINAL:
6.200604
6.200604
linear_solve
0
sinusoid
2.5
4
240
63
3.695619
Solve for x: 3.6956192854956402x + 3 = 27 FINAL:
6.494175
6.494175
linear_solve
0
sinusoid
2.5
8
240
0
3.566987
Solve for x: 3.566987298107781x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
8
240
1
3.517037
Solve for x: 3.5170370868554657x + 3 = 27 FINAL:
6.823926
6.823926
linear_solve
0
sinusoid
2.5
8
240
2
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
8
240
3
4.12941
Solve for x: 4.12940952255126x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
8
240
4
4.433013
Solve for x: 4.433012701892219x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
8
240
5
4.482963
Solve for x: 4.482962913144534x + 3 = 27 FINAL:
5.353602
5.353602
linear_solve
0
sinusoid
2.5
8
240
6
4.25
Solve for x: 4.25x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
8
240
7
3.87059
Solve for x: 3.87059047744874x + 3 = 27 FINAL:
6.200604
6.200604