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
2
120
36
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
2
120
37
4.013081
Solve for x: 4.013080625846029x + 3 = 27 FINAL:
5.980443
5.980443
linear_solve
0
sinusoid
1
2
120
38
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
2
120
39
3.935712
Solve for x: 3.9357121069393677x + 3 = 27 FINAL:
6.098007
6.098007
linear_solve
0
sinusoid
1
2
120
40
3.9
Solve for x: 3.9000000000000004x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
2
120
41
3.868131
Solve for x: 3.8681308369799865x + 3 = 27 FINAL:
6.204547
6.204547
linear_solve
0
sinusoid
1
2
120
42
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
2
120
43
3.820625
Solve for x: 3.8206254516934623x + 3 = 27 FINAL:
6.281694
6.281694
linear_solve
0
sinusoid
1
2
120
44
3.806815
Solve for x: 3.8068148347421866x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
2
120
45
3.800428
Solve for x: 3.8004282153522793x + 3 = 27 FINAL:
6.315078
6.315078
linear_solve
0
sinusoid
1
2
120
46
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
2
120
47
3.810614
Solve for x: 3.810613974100979x + 3 = 27 FINAL:
6.298198
6.298198
linear_solve
0
sinusoid
1
2
120
48
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
2
120
49
3.849632
Solve for x: 3.8496320385042044x + 3 = 27 FINAL:
6.234362
6.234362
linear_solve
0
sinusoid
1
2
120
50
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
2
120
51
3.911542
Solve for x: 3.9115422619561997x + 3 = 27 FINAL:
6.135687
6.135687
linear_solve
0
sinusoid
1
2
120
52
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
2
120
53
3.986919
Solve for x: 3.9869193741539712x + 3 = 27 FINAL:
6.019685
6.019685
linear_solve
0
sinusoid
1
2
120
54
4.026105
Solve for x: 4.02610523844401x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
2
120
55
4.064288
Solve for x: 4.064287893060632x + 3 = 27 FINAL:
5.905093
5.905093
linear_solve
0
sinusoid
1
2
120
56
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
2
120
57
4.131869
Solve for x: 4.1318691630200135x + 3 = 27 FINAL:
5.808509
5.808509
linear_solve
0
sinusoid
1
2
120
58
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
2
120
59
4.179375
Solve for x: 4.179374548306537x + 3 = 27 FINAL:
5.742486
5.742486
linear_solve
0
sinusoid
1
2
120
60
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
2
120
61
4.199572
Solve for x: 4.199571784647721x + 3 = 27 FINAL:
5.714868
5.714868
linear_solve
0
sinusoid
1
2
120
62
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
2
120
63
4.189386
Solve for x: 4.189386025899021x + 3 = 27 FINAL:
5.728763
5.728763
linear_solve
0
sinusoid
1
4
120
0
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
120
1
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
120
2
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
120
3
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
120
4
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
120
5
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
120
6
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
120
7
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
120
8
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
120
9
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
120
10
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
120
11
4.026105
Solve for x: 4.02610523844401x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
120
12
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
120
13
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
120
14
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
120
15
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
4
120
16
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
120
17
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
120
18
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
120
19
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
120
20
3.9
Solve for x: 3.9000000000000004x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
120
21
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
120
22
3.806815
Solve for x: 3.8068148347421866x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
120
23
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
120
24
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
120
25
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
120
26
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
120
27
4.026105
Solve for x: 4.02610523844401x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
120
28
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
120
29
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
120
30
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
120
31
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
4
120
32
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
120
33
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
120
34
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
120
35
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
120
36
3.9
Solve for x: 3.9000000000000004x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
120
37
3.841329
Solve for x: 3.8413293319417527x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
120
38
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
120
39
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
120
40
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
120
41
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
120
42
3.948236
Solve for x: 3.9482361909794963x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
120
43
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
120
44
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
120
45
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
120
46
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
120
47
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
4
120
48
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
120
49
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
120
50
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
120
51
3.973895
Solve for x: 3.97389476155599x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
120
52
3.9
Solve for x: 3.8999999999999995x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
120
53
3.841329
Solve for x: 3.8413293319417527x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
120
54
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
120
55
3.801711
Solve for x: 3.801711027725238x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
120
56
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
120
57
3.878248
Solve for x: 3.8782477141982556x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
120
58
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
120
59
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
120
60
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
120
61
4.158671
Solve for x: 4.158670668058247x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
120
62
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
120
63
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
8
120
0
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
8
120
1
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
8
120
2
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
8
120
3
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
8
120
4
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
8
120
5
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
8
120
6
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
8
120
7
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573