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
0.5
2
0
36
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
2
0
37
4.083147
Solve for x: 4.083146961230255x + 3 = 27 FINAL:
5.877819
5.877819
linear_solve
0
sinusoid
0.5
2
0
38
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
2
0
39
4.098079
Solve for x: 4.098078528040323x + 3 = 27 FINAL:
5.856403
5.856403
linear_solve
0
sinusoid
0.5
2
0
40
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
0.5
2
0
41
4.098079
Solve for x: 4.098078528040323x + 3 = 27 FINAL:
5.856403
5.856403
linear_solve
0
sinusoid
0.5
2
0
42
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
2
0
43
4.083147
Solve for x: 4.083146961230255x + 3 = 27 FINAL:
5.877819
5.877819
linear_solve
0
sinusoid
0.5
2
0
44
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
2
0
45
4.055557
Solve for x: 4.055557023301961x + 3 = 27 FINAL:
5.917806
5.917806
linear_solve
0
sinusoid
0.5
2
0
46
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
2
0
47
4.019509
Solve for x: 4.019509032201613x + 3 = 27 FINAL:
5.970878
5.970878
linear_solve
0
sinusoid
0.5
2
0
48
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
2
0
49
3.980491
Solve for x: 3.9804909677983873x + 3 = 27 FINAL:
6.029407
6.029407
linear_solve
0
sinusoid
0.5
2
0
50
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
2
0
51
3.944443
Solve for x: 3.94444297669804x + 3 = 27 FINAL:
6.084509
6.084509
linear_solve
0
sinusoid
0.5
2
0
52
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
2
0
53
3.916853
Solve for x: 3.9168530387697453x + 3 = 27 FINAL:
6.127368
6.127368
linear_solve
0
sinusoid
0.5
2
0
54
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
2
0
55
3.901921
Solve for x: 3.901921471959677x + 3 = 27 FINAL:
6.150816
6.150816
linear_solve
0
sinusoid
0.5
2
0
56
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
0.5
2
0
57
3.901921
Solve for x: 3.901921471959677x + 3 = 27 FINAL:
6.150816
6.150816
linear_solve
0
sinusoid
0.5
2
0
58
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
2
0
59
3.916853
Solve for x: 3.9168530387697453x + 3 = 27 FINAL:
6.127368
6.127368
linear_solve
0
sinusoid
0.5
2
0
60
3.929289
Solve for x: 3.929289321881345x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
2
0
61
3.944443
Solve for x: 3.94444297669804x + 3 = 27 FINAL:
6.084509
6.084509
linear_solve
0
sinusoid
0.5
2
0
62
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
2
0
63
3.980491
Solve for x: 3.9804909677983873x + 3 = 27 FINAL:
6.029407
6.029407
linear_solve
0
sinusoid
0.5
4
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
1
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
2
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
3
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
4
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
0.5
4
0
5
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
6
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
7
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
8
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
9
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
10
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
11
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
12
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
0.5
4
0
13
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
14
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
15
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
16
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
17
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
18
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
19
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
20
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
0.5
4
0
21
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
22
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
23
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
24
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
25
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
26
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
27
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
28
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
0.5
4
0
29
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
30
3.929289
Solve for x: 3.929289321881345x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
31
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
32
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
33
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
34
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
35
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
36
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
0.5
4
0
37
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
38
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
39
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
40
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
41
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
42
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
43
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
44
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
0.5
4
0
45
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
46
3.929289
Solve for x: 3.929289321881345x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
47
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
48
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
49
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
50
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
51
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
52
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
0.5
4
0
53
4.092388
Solve for x: 4.092387953251128x + 3 = 27 FINAL:
5.864547
5.864547
linear_solve
0
sinusoid
0.5
4
0
54
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
4
0
55
4.038268
Solve for x: 4.038268343236509x + 3 = 27 FINAL:
5.943141
5.943141
linear_solve
0
sinusoid
0.5
4
0
56
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
4
0
57
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
4
0
58
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
59
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
60
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
0.5
4
0
61
3.907612
Solve for x: 3.9076120467488713x + 3 = 27 FINAL:
6.141858
6.141858
linear_solve
0
sinusoid
0.5
4
0
62
3.929289
Solve for x: 3.929289321881345x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
4
0
63
3.961732
Solve for x: 3.961731656763491x + 3 = 27 FINAL:
6.057957
6.057957
linear_solve
0
sinusoid
0.5
8
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
8
0
1
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
8
0
2
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
0.5
8
0
3
4.070711
Solve for x: 4.070710678118655x + 3 = 27 FINAL:
5.895776
5.895776
linear_solve
0
sinusoid
0.5
8
0
4
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
0.5
8
0
5
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975
linear_solve
0
sinusoid
0.5
8
0
6
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
0.5
8
0
7
3.929289
Solve for x: 3.9292893218813454x + 3 = 27 FINAL:
6.107975
6.107975