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
| 1
|
sinusoid
| 0.5
| 16
| 240
| 44
| 3.913397
|
Solve for x: 3.913397459621557x + 5 = 41
FINAL:
| 9.199168
| 9.199168
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 45
| 3.95
|
Solve for x: 3.9499999999999993x + 5 = 41
FINAL:
| 9.113924
| 9.113924
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 46
| 4.086603
|
Solve for x: 4.086602540378443x + 5 = 41
FINAL:
| 8.809274
| 8.809274
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 47
| 4.05
|
Solve for x: 4.05x + 5 = 41
FINAL:
| 8.888889
| 8.888889
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 48
| 3.913397
|
Solve for x: 3.9133974596215566x + 5 = 41
FINAL:
| 9.199168
| 9.199168
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 49
| 3.95
|
Solve for x: 3.949999999999999x + 5 = 41
FINAL:
| 9.113924
| 9.113924
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 50
| 4.086603
|
Solve for x: 4.086602540378443x + 5 = 41
FINAL:
| 8.809274
| 8.809274
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 51
| 4.05
|
Solve for x: 4.050000000000001x + 5 = 41
FINAL:
| 8.888889
| 8.888889
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 52
| 3.913397
|
Solve for x: 3.913397459621556x + 5 = 41
FINAL:
| 9.199168
| 9.199168
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 53
| 3.95
|
Solve for x: 3.9499999999999993x + 5 = 41
FINAL:
| 9.113924
| 9.113924
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 54
| 4.086603
|
Solve for x: 4.086602540378443x + 5 = 41
FINAL:
| 8.809274
| 8.809274
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 55
| 4.05
|
Solve for x: 4.05x + 5 = 41
FINAL:
| 8.888889
| 8.888889
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 56
| 3.913397
|
Solve for x: 3.9133974596215566x + 5 = 41
FINAL:
| 9.199168
| 9.199168
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 57
| 3.95
|
Solve for x: 3.949999999999999x + 5 = 41
FINAL:
| 9.113924
| 9.113924
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 58
| 4.086603
|
Solve for x: 4.086602540378443x + 5 = 41
FINAL:
| 8.809274
| 8.809274
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 59
| 4.05
|
Solve for x: 4.050000000000001x + 5 = 41
FINAL:
| 8.888889
| 8.888889
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 60
| 3.913397
|
Solve for x: 3.913397459621557x + 5 = 41
FINAL:
| 9.199168
| 9.199168
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 61
| 3.95
|
Solve for x: 3.9499999999999993x + 5 = 41
FINAL:
| 9.113924
| 9.113924
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 62
| 4.086603
|
Solve for x: 4.086602540378443x + 5 = 41
FINAL:
| 8.809274
| 8.809274
|
linear_solve
| 1
|
sinusoid
| 0.5
| 16
| 240
| 63
| 4.05
|
Solve for x: 4.050000000000001x + 5 = 41
FINAL:
| 8.888889
| 8.888889
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 0
| 4
|
Solve for x: 4.0x + 2 = 18
FINAL:
| 4
| 4
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 1
| 4.009802
|
Solve for x: 4.009801714032956x + 2 = 18
FINAL:
| 3.990222
| 3.990222
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 2
| 4.019509
|
Solve for x: 4.019509032201613x + 2 = 18
FINAL:
| 3.980586
| 3.980586
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 3
| 4.029028
|
Solve for x: 4.029028467725446x + 2 = 18
FINAL:
| 3.971181
| 3.971181
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 4
| 4.038268
|
Solve for x: 4.038268343236509x + 2 = 18
FINAL:
| 3.962094
| 3.962094
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 5
| 4.04714
|
Solve for x: 4.0471396736826x + 2 = 18
FINAL:
| 3.953409
| 3.953409
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 6
| 4.055557
|
Solve for x: 4.05555702330196x + 2 = 18
FINAL:
| 3.945204
| 3.945204
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 7
| 4.063439
|
Solve for x: 4.063439328416364x + 2 = 18
FINAL:
| 3.937551
| 3.937551
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 8
| 4.070711
|
Solve for x: 4.070710678118655x + 2 = 18
FINAL:
| 3.930518
| 3.930518
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 9
| 4.077301
|
Solve for x: 4.077301045336274x + 2 = 18
FINAL:
| 3.924164
| 3.924164
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 10
| 4.083147
|
Solve for x: 4.083146961230255x + 2 = 18
FINAL:
| 3.918546
| 3.918546
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 11
| 4.088192
|
Solve for x: 4.088192126434835x + 2 = 18
FINAL:
| 3.91371
| 3.91371
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 12
| 4.092388
|
Solve for x: 4.092387953251128x + 2 = 18
FINAL:
| 3.909698
| 3.909698
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 13
| 4.095694
|
Solve for x: 4.095694033573221x + 2 = 18
FINAL:
| 3.906542
| 3.906542
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 14
| 4.098079
|
Solve for x: 4.098078528040323x + 2 = 18
FINAL:
| 3.904269
| 3.904269
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 15
| 4.099518
|
Solve for x: 4.09951847266722x + 2 = 18
FINAL:
| 3.902897
| 3.902897
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 16
| 4.1
|
Solve for x: 4.1x + 2 = 18
FINAL:
| 3.902439
| 3.902439
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 17
| 4.099518
|
Solve for x: 4.09951847266722x + 2 = 18
FINAL:
| 3.902897
| 3.902897
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 18
| 4.098079
|
Solve for x: 4.098078528040323x + 2 = 18
FINAL:
| 3.904269
| 3.904269
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 19
| 4.095694
|
Solve for x: 4.095694033573221x + 2 = 18
FINAL:
| 3.906542
| 3.906542
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 20
| 4.092388
|
Solve for x: 4.092387953251128x + 2 = 18
FINAL:
| 3.909698
| 3.909698
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 21
| 4.088192
|
Solve for x: 4.088192126434835x + 2 = 18
FINAL:
| 3.91371
| 3.91371
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 22
| 4.083147
|
Solve for x: 4.083146961230255x + 2 = 18
FINAL:
| 3.918546
| 3.918546
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 23
| 4.077301
|
Solve for x: 4.077301045336274x + 2 = 18
FINAL:
| 3.924164
| 3.924164
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 24
| 4.070711
|
Solve for x: 4.070710678118655x + 2 = 18
FINAL:
| 3.930518
| 3.930518
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 25
| 4.063439
|
Solve for x: 4.063439328416364x + 2 = 18
FINAL:
| 3.937551
| 3.937551
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 26
| 4.055557
|
Solve for x: 4.05555702330196x + 2 = 18
FINAL:
| 3.945204
| 3.945204
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 27
| 4.04714
|
Solve for x: 4.0471396736826x + 2 = 18
FINAL:
| 3.953409
| 3.953409
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 28
| 4.038268
|
Solve for x: 4.038268343236509x + 2 = 18
FINAL:
| 3.962094
| 3.962094
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 29
| 4.029028
|
Solve for x: 4.029028467725446x + 2 = 18
FINAL:
| 3.971181
| 3.971181
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 30
| 4.019509
|
Solve for x: 4.019509032201613x + 2 = 18
FINAL:
| 3.980586
| 3.980586
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 31
| 4.009802
|
Solve for x: 4.009801714032956x + 2 = 18
FINAL:
| 3.990222
| 3.990222
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 32
| 4
|
Solve for x: 4.0x + 2 = 18
FINAL:
| 4
| 4
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 33
| 3.990198
|
Solve for x: 3.9901982859670437x + 2 = 18
FINAL:
| 4.009826
| 4.009826
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 34
| 3.980491
|
Solve for x: 3.9804909677983873x + 2 = 18
FINAL:
| 4.019605
| 4.019605
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 35
| 3.970972
|
Solve for x: 3.970971532274554x + 2 = 18
FINAL:
| 4.029241
| 4.029241
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 36
| 3.961732
|
Solve for x: 3.961731656763491x + 2 = 18
FINAL:
| 4.038638
| 4.038638
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 37
| 3.95286
|
Solve for x: 3.9528603263174x + 2 = 18
FINAL:
| 4.047702
| 4.047702
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 38
| 3.944443
|
Solve for x: 3.94444297669804x + 2 = 18
FINAL:
| 4.05634
| 4.05634
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 39
| 3.936561
|
Solve for x: 3.9365606715836354x + 2 = 18
FINAL:
| 4.064462
| 4.064462
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 40
| 3.929289
|
Solve for x: 3.9292893218813454x + 2 = 18
FINAL:
| 4.071983
| 4.071983
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 41
| 3.922699
|
Solve for x: 3.9226989546637263x + 2 = 18
FINAL:
| 4.078824
| 4.078824
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 42
| 3.916853
|
Solve for x: 3.9168530387697453x + 2 = 18
FINAL:
| 4.084912
| 4.084912
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 43
| 3.911808
|
Solve for x: 3.9118078735651647x + 2 = 18
FINAL:
| 4.09018
| 4.09018
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 44
| 3.907612
|
Solve for x: 3.9076120467488713x + 2 = 18
FINAL:
| 4.094572
| 4.094572
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 45
| 3.904306
|
Solve for x: 3.904305966426779x + 2 = 18
FINAL:
| 4.098039
| 4.098039
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 46
| 3.901921
|
Solve for x: 3.901921471959677x + 2 = 18
FINAL:
| 4.100544
| 4.100544
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 47
| 3.900482
|
Solve for x: 3.90048152733278x + 2 = 18
FINAL:
| 4.102058
| 4.102058
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 48
| 3.9
|
Solve for x: 3.9x + 2 = 18
FINAL:
| 4.102564
| 4.102564
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 49
| 3.900482
|
Solve for x: 3.90048152733278x + 2 = 18
FINAL:
| 4.102058
| 4.102058
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 50
| 3.901921
|
Solve for x: 3.901921471959677x + 2 = 18
FINAL:
| 4.100544
| 4.100544
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 51
| 3.904306
|
Solve for x: 3.904305966426779x + 2 = 18
FINAL:
| 4.098039
| 4.098039
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 52
| 3.907612
|
Solve for x: 3.9076120467488713x + 2 = 18
FINAL:
| 4.094572
| 4.094572
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 53
| 3.911808
|
Solve for x: 3.9118078735651647x + 2 = 18
FINAL:
| 4.09018
| 4.09018
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 54
| 3.916853
|
Solve for x: 3.9168530387697453x + 2 = 18
FINAL:
| 4.084912
| 4.084912
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 55
| 3.922699
|
Solve for x: 3.9226989546637263x + 2 = 18
FINAL:
| 4.078824
| 4.078824
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 56
| 3.929289
|
Solve for x: 3.9292893218813454x + 2 = 18
FINAL:
| 4.071983
| 4.071983
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 57
| 3.936561
|
Solve for x: 3.9365606715836354x + 2 = 18
FINAL:
| 4.064462
| 4.064462
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 58
| 3.944443
|
Solve for x: 3.94444297669804x + 2 = 18
FINAL:
| 4.05634
| 4.05634
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 59
| 3.95286
|
Solve for x: 3.9528603263174x + 2 = 18
FINAL:
| 4.047702
| 4.047702
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 60
| 3.961732
|
Solve for x: 3.961731656763491x + 2 = 18
FINAL:
| 4.038638
| 4.038638
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 61
| 3.970972
|
Solve for x: 3.970971532274554x + 2 = 18
FINAL:
| 4.029241
| 4.029241
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 62
| 3.980491
|
Solve for x: 3.9804909677983873x + 2 = 18
FINAL:
| 4.019605
| 4.019605
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 0
| 63
| 3.990198
|
Solve for x: 3.9901982859670437x + 2 = 18
FINAL:
| 4.009826
| 4.009826
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 0
| 4
|
Solve for x: 4.0x + 2 = 18
FINAL:
| 4
| 4
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 1
| 4.019509
|
Solve for x: 4.019509032201613x + 2 = 18
FINAL:
| 3.980586
| 3.980586
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 2
| 4.038268
|
Solve for x: 4.038268343236509x + 2 = 18
FINAL:
| 3.962094
| 3.962094
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 3
| 4.055557
|
Solve for x: 4.05555702330196x + 2 = 18
FINAL:
| 3.945204
| 3.945204
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 4
| 4.070711
|
Solve for x: 4.070710678118655x + 2 = 18
FINAL:
| 3.930518
| 3.930518
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 5
| 4.083147
|
Solve for x: 4.083146961230255x + 2 = 18
FINAL:
| 3.918546
| 3.918546
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 6
| 4.092388
|
Solve for x: 4.092387953251128x + 2 = 18
FINAL:
| 3.909698
| 3.909698
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 7
| 4.098079
|
Solve for x: 4.098078528040323x + 2 = 18
FINAL:
| 3.904269
| 3.904269
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 8
| 4.1
|
Solve for x: 4.1x + 2 = 18
FINAL:
| 3.902439
| 3.902439
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 9
| 4.098079
|
Solve for x: 4.098078528040323x + 2 = 18
FINAL:
| 3.904269
| 3.904269
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 10
| 4.092388
|
Solve for x: 4.092387953251128x + 2 = 18
FINAL:
| 3.909698
| 3.909698
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 11
| 4.083147
|
Solve for x: 4.083146961230255x + 2 = 18
FINAL:
| 3.918546
| 3.918546
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 12
| 4.070711
|
Solve for x: 4.070710678118655x + 2 = 18
FINAL:
| 3.930518
| 3.930518
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 13
| 4.055557
|
Solve for x: 4.05555702330196x + 2 = 18
FINAL:
| 3.945204
| 3.945204
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 14
| 4.038268
|
Solve for x: 4.038268343236509x + 2 = 18
FINAL:
| 3.962094
| 3.962094
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 0
| 15
| 4.019509
|
Solve for x: 4.019509032201613x + 2 = 18
FINAL:
| 3.980586
| 3.980586
|
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