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 59 76 | ground_truth float64 0.52 2.33 | symbolic_baseline_answer float64 0.52 2.33 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_system | 2 | sinusoid | 1 | 16 | 240 | 4 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 5 | 3.9 | Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 6 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 7 | 4.1 | Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 8 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 9 | 3.9 | Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 10 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 11 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 12 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 13 | 3.9 | Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 14 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 15 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 16 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 17 | 3.9 | Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 18 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 19 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 20 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 21 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 22 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 23 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 24 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 25 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 26 | 4.173205 | Solve this system for x:
4.173205080756889x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 27 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 28 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 29 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 30 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 31 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 32 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 33 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 34 | 4.173205 | Solve this system for x:
4.173205080756889x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 35 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 36 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 37 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 38 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 39 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 40 | 3.826795 | Solve this system for x:
3.826794919243113x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 41 | 3.9 | Solve this system for x:
3.8999999999999977x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 42 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 43 | 4.1 | Solve this system for x:
4.100000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 44 | 3.826795 | Solve this system for x:
3.8267949192431137x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 45 | 3.9 | Solve this system for x:
3.899999999999999x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 46 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 47 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 48 | 3.826795 | Solve this system for x:
3.826794919243113x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 49 | 3.9 | Solve this system for x:
3.8999999999999977x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 50 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 51 | 4.1 | Solve this system for x:
4.100000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 52 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 53 | 3.9 | Solve this system for x:
3.899999999999999x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 54 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 55 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 56 | 3.826795 | Solve this system for x:
3.826794919243113x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 57 | 3.9 | Solve this system for x:
3.8999999999999977x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 58 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 59 | 4.1 | Solve this system for x:
4.100000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 60 | 3.826795 | Solve this system for x:
3.8267949192431137x + 1y = 10
2x + 4y = 12
FINAL: | 2.104127 | 2.104127 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 61 | 3.9 | Solve this system for x:
3.8999999999999986x + 1y = 10
2x + 4y = 12
FINAL: | 2.058824 | 2.058824 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 62 | 4.173205 | Solve this system for x:
4.173205080756887x + 1y = 10
2x + 4y = 12
FINAL: | 1.905693 | 1.905693 |
linear_system | 2 | sinusoid | 1 | 16 | 240 | 63 | 4.1 | Solve this system for x:
4.1000000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 1.944444 | 1.944444 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 1 | 4.049009 | Solve this system for x:
4.04900857016478x + 1y = 7
1x + 5y = 11
FINAL: | 1.247074 | 1.247074 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 2 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 7
1x + 5y = 11
FINAL: | 1.231544 | 1.231544 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 3 | 4.145142 | Solve this system for x:
4.145142338627231x + 1y = 7
1x + 5y = 11
FINAL: | 1.216686 | 1.216686 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 4 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 5 | 4.235698 | Solve this system for x:
4.235698368412999x + 1y = 7
1x + 5y = 11
FINAL: | 1.189385 | 1.189385 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 6 | 4.277785 | Solve this system for x:
4.277785116509801x + 1y = 7
1x + 5y = 11
FINAL: | 1.17711 | 1.17711 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 7 | 4.317197 | Solve this system for x:
4.317196642081822x + 1y = 7
1x + 5y = 11
FINAL: | 1.165842 | 1.165842 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 8 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 9 | 4.386505 | Solve this system for x:
4.386505226681368x + 1y = 7
1x + 5y = 11
FINAL: | 1.146541 | 1.146541 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 10 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 7
1x + 5y = 11
FINAL: | 1.138592 | 1.138592 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 11 | 4.440961 | Solve this system for x:
4.4409606321741775x + 1y = 7
1x + 5y = 11
FINAL: | 1.131819 | 1.131819 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 12 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 13 | 4.47847 | Solve this system for x:
4.478470167866105x + 1y = 7
1x + 5y = 11
FINAL: | 1.121896 | 1.121896 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 14 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 7
1x + 5y = 11
FINAL: | 1.118779 | 1.118779 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 15 | 4.497592 | Solve this system for x:
4.497592363336098x + 1y = 7
1x + 5y = 11
FINAL: | 1.116904 | 1.116904 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 16 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 17 | 4.497592 | Solve this system for x:
4.497592363336098x + 1y = 7
1x + 5y = 11
FINAL: | 1.116904 | 1.116904 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 18 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 7
1x + 5y = 11
FINAL: | 1.118779 | 1.118779 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 19 | 4.47847 | Solve this system for x:
4.478470167866105x + 1y = 7
1x + 5y = 11
FINAL: | 1.121896 | 1.121896 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 20 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 21 | 4.440961 | Solve this system for x:
4.4409606321741775x + 1y = 7
1x + 5y = 11
FINAL: | 1.131819 | 1.131819 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 22 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 7
1x + 5y = 11
FINAL: | 1.138592 | 1.138592 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 23 | 4.386505 | Solve this system for x:
4.386505226681368x + 1y = 7
1x + 5y = 11
FINAL: | 1.146541 | 1.146541 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 24 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 25 | 4.317197 | Solve this system for x:
4.317196642081822x + 1y = 7
1x + 5y = 11
FINAL: | 1.165842 | 1.165842 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 26 | 4.277785 | Solve this system for x:
4.277785116509801x + 1y = 7
1x + 5y = 11
FINAL: | 1.17711 | 1.17711 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 27 | 4.235698 | Solve this system for x:
4.235698368412999x + 1y = 7
1x + 5y = 11
FINAL: | 1.189385 | 1.189385 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 28 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 29 | 4.145142 | Solve this system for x:
4.145142338627231x + 1y = 7
1x + 5y = 11
FINAL: | 1.216686 | 1.216686 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 30 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 7
1x + 5y = 11
FINAL: | 1.231544 | 1.231544 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 31 | 4.049009 | Solve this system for x:
4.04900857016478x + 1y = 7
1x + 5y = 11
FINAL: | 1.247074 | 1.247074 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 32 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 33 | 3.950991 | Solve this system for x:
3.9509914298352196x + 1y = 7
1x + 5y = 11
FINAL: | 1.279662 | 1.279662 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 34 | 3.902455 | Solve this system for x:
3.902454838991936x + 1y = 7
1x + 5y = 11
FINAL: | 1.296437 | 1.296437 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 35 | 3.854858 | Solve this system for x:
3.854857661372769x + 1y = 7
1x + 5y = 11
FINAL: | 1.313321 | 1.313321 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 36 | 3.808658 | Solve this system for x:
3.808658283817455x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 37 | 3.764302 | Solve this system for x:
3.764301631587001x + 1y = 7
1x + 5y = 11
FINAL: | 1.346687 | 1.346687 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 38 | 3.722215 | Solve this system for x:
3.722214883490199x + 1y = 7
1x + 5y = 11
FINAL: | 1.362779 | 1.362779 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 39 | 3.682803 | Solve this system for x:
3.6828033579181776x + 1y = 7
1x + 5y = 11
FINAL: | 1.3782 | 1.3782 |
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