meta
stringlengths 493
517
| id
int64 0
25.6k
| problem_solution_idx
int64 0
0
| world_id
stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"m": "r + 13", "n": "m + 18", "p": "n + 4", "y": "p + 17", "e": "y + 5", "o": "e + 16", "c": "r + 9", "z": "c + 15", "u": "z + 19", "k": "u + 19", "w": "k + 9", "h": "w + 12", "r": 10}, "premises": {"r": 10}, "target": "o"}, "answer": {"steps": [["e", "y + 5", "y + 21"], ["y", "p + 17", "p + 38"], ["p", "n + 4", "n + 42"], ["n", "m + 18", "m + 60"], ["m", "r + 13", "r + 73"], ["r", 10, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"r": 10}, "is_reverse": true}}
| 900
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 13; n = m + 18; e = y + 5; z = c + 15; h = w + 12; r = 10; p = n + 4; u = z + 19; o = e + 16; w = k + 9; c = r + 9; k = u + 19; y = p + 17. If r = 10, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 5 to o, which gives o = y + 21.\n2. Substitute y = p + 17 to o, which gives o = p + 38.\n3. Substitute p = n + 4 to o, which gives o = n + 42.\n4. Substitute n = m + 18 to o, which gives o = m + 60.\n5. Substitute m = r + 13 to o, which gives o = r + 73.\n6. Substitute r = 10 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 900,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 13; n = m + 18; e = y + 5; z = c + 15; h = w + 12; r = 10; p = n + 4; u = z + 19; o = e + 16; w = k + 9; c = r + 9; k = u + 19; y = p + 17. If r = 10, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 19", "x": "w + 6", "c": "x + 18", "b": "c + 17", "e": "b + 10", "j": "e + 18", "z": "d + 12", "t": "z + 6", "r": "t + 13", "k": "r + 3", "o": "k + 3", "h": "o + 13", "d": 17}, "premises": {"d": 17}, "target": "j"}, "answer": {"steps": [["e", "b + 10", "b + 28"], ["b", "c + 17", "c + 45"], ["c", "x + 18", "x + 63"], ["x", "w + 6", "w + 69"], ["w", "d + 19", "d + 88"], ["d", 17, "105"]], "target_var_name": "j", "target_value": 105, "value_dict": {"d": 17}, "is_reverse": true}}
| 901
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 13; w = d + 19; b = c + 17; x = w + 6; o = k + 3; j = e + 18; c = x + 18; d = 17; e = b + 10; k = r + 3; t = z + 6; r = t + 13; z = d + 12. If d = 17, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 10 to j, which gives j = b + 28.\n2. Substitute b = c + 17 to j, which gives j = c + 45.\n3. Substitute c = x + 18 to j, which gives j = x + 63.\n4. Substitute x = w + 6 to j, which gives j = w + 69.\n5. Substitute w = d + 19 to j, which gives j = d + 88.\n6. Substitute d = 17 to j, which gives j = 105.\n\nThus, the final answer is j = \\boxed{105}.",
"index": 901,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 13; w = d + 19; b = c + 17; x = w + 6; o = k + 3; j = e + 18; c = x + 18; d = 17; e = b + 10; k = r + 3; t = z + 6; r = t + 13; z = d + 12. If d = 17, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 4", "x": "i + 10", "q": "x + 10", "w": "q + 20", "z": "w + 1", "j": "z + 6", "a": "t + 4", "f": "a + 2", "o": "f + 2", "k": "o + 12", "p": "k + 18", "d": "p + 5", "t": 17}, "premises": {"t": 17}, "target": "j"}, "answer": {"steps": [["z", "w + 1", "w + 7"], ["w", "q + 20", "q + 27"], ["q", "x + 10", "x + 37"], ["x", "i + 10", "i + 47"], ["i", "t + 4", "t + 51"], ["t", 17, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"t": 17}, "is_reverse": true}}
| 902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 10; z = w + 1; a = t + 4; p = k + 18; k = o + 12; i = t + 4; d = p + 5; f = a + 2; w = q + 20; j = z + 6; x = i + 10; t = 17; o = f + 2. If t = 17, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 1 to j, which gives j = w + 7.\n2. Substitute w = q + 20 to j, which gives j = q + 27.\n3. Substitute q = x + 10 to j, which gives j = x + 37.\n4. Substitute x = i + 10 to j, which gives j = i + 47.\n5. Substitute i = t + 4 to j, which gives j = t + 51.\n6. Substitute t = 17 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 902,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 10; z = w + 1; a = t + 4; p = k + 18; k = o + 12; i = t + 4; d = p + 5; f = a + 2; w = q + 20; j = z + 6; x = i + 10; t = 17; o = f + 2. If t = 17, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 11", "h": "p + 11", "k": "h + 19", "a": "k + 10", "v": "a + 5", "b": "v + 13", "s": "t + 17", "z": "s + 3", "r": "z + 10", "i": "r + 17", "o": "i + 10", "x": "o + 17", "t": 9}, "premises": {"t": 9}, "target": "b"}, "answer": {"steps": [["v", "a + 5", "a + 18"], ["a", "k + 10", "k + 28"], ["k", "h + 19", "h + 47"], ["h", "p + 11", "p + 58"], ["p", "t + 11", "t + 69"], ["t", 9, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"t": 9}, "is_reverse": true}}
| 903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = p + 11; v = a + 5; t = 9; i = r + 17; k = h + 19; s = t + 17; x = o + 17; z = s + 3; a = k + 10; o = i + 10; r = z + 10; p = t + 11; b = v + 13. If t = 9, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 5 to b, which gives b = a + 18.\n2. Substitute a = k + 10 to b, which gives b = k + 28.\n3. Substitute k = h + 19 to b, which gives b = h + 47.\n4. Substitute h = p + 11 to b, which gives b = p + 58.\n5. Substitute p = t + 11 to b, which gives b = t + 69.\n6. Substitute t = 9 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 903,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = p + 11; v = a + 5; t = 9; i = r + 17; k = h + 19; s = t + 17; x = o + 17; z = s + 3; a = k + 10; o = i + 10; r = z + 10; p = t + 11; b = v + 13. If t = 9, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 8", "z": "r + 12", "b": "z + 7", "e": "b + 11", "v": "e + 5", "d": "v + 18", "s": "i + 7", "k": "s + 1", "n": "k + 16", "m": "n + 4", "c": "m + 20", "y": "c + 16", "i": 2}, "premises": {"i": 2}, "target": "d"}, "answer": {"steps": [["v", "e + 5", "e + 23"], ["e", "b + 11", "b + 34"], ["b", "z + 7", "z + 41"], ["z", "r + 12", "r + 53"], ["r", "i + 8", "i + 61"], ["i", 2, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"i": 2}, "is_reverse": true}}
| 904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 7; r = i + 8; k = s + 1; i = 2; c = m + 20; v = e + 5; e = b + 11; s = i + 7; y = c + 16; d = v + 18; z = r + 12; n = k + 16; m = n + 4. Given that i = 2, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 5 to d, which gives d = e + 23.\n2. Substitute e = b + 11 to d, which gives d = b + 34.\n3. Substitute b = z + 7 to d, which gives d = z + 41.\n4. Substitute z = r + 12 to d, which gives d = r + 53.\n5. Substitute r = i + 8 to d, which gives d = i + 61.\n6. Substitute i = 2 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 904,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 7; r = i + 8; k = s + 1; i = 2; c = m + 20; v = e + 5; e = b + 11; s = i + 7; y = c + 16; d = v + 18; z = r + 12; n = k + 16; m = n + 4. Given that i = 2, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 1", "h": "y + 19", "n": "h + 20", "i": "n + 2", "x": "i + 5", "m": "x + 15", "u": "q + 5", "e": "u + 9", "d": "e + 18", "v": "d + 4", "a": "v + 17", "l": "a + 11", "q": 10}, "premises": {"q": 10}, "target": "m"}, "answer": {"steps": [["x", "i + 5", "i + 20"], ["i", "n + 2", "n + 22"], ["n", "h + 20", "h + 42"], ["h", "y + 19", "y + 61"], ["y", "q + 1", "q + 62"], ["q", 10, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"q": 10}, "is_reverse": true}}
| 905
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 1; v = d + 4; m = x + 15; n = h + 20; x = i + 5; i = n + 2; h = y + 19; d = e + 18; e = u + 9; q = 10; u = q + 5; l = a + 11; a = v + 17. Given that q = 10, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 5 to m, which gives m = i + 20.\n2. Substitute i = n + 2 to m, which gives m = n + 22.\n3. Substitute n = h + 20 to m, which gives m = h + 42.\n4. Substitute h = y + 19 to m, which gives m = y + 61.\n5. Substitute y = q + 1 to m, which gives m = q + 62.\n6. Substitute q = 10 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 905,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 1; v = d + 4; m = x + 15; n = h + 20; x = i + 5; i = n + 2; h = y + 19; d = e + 18; e = u + 9; q = 10; u = q + 5; l = a + 11; a = v + 17. Given that q = 10, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 13", "i": "b + 17", "z": "i + 15", "f": "z + 13", "x": "f + 15", "c": "x + 5", "a": "p + 7", "t": "a + 7", "u": "t + 6", "q": "u + 11", "n": "q + 18", "r": "n + 19", "p": 15}, "premises": {"p": 15}, "target": "c"}, "answer": {"steps": [["x", "f + 15", "f + 20"], ["f", "z + 13", "z + 33"], ["z", "i + 15", "i + 48"], ["i", "b + 17", "b + 65"], ["b", "p + 13", "p + 78"], ["p", 15, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"p": 15}, "is_reverse": true}}
| 906
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = p + 13; f = z + 13; n = q + 18; t = a + 7; c = x + 5; z = i + 15; q = u + 11; p = 15; u = t + 6; r = n + 19; a = p + 7; x = f + 15; i = b + 17. Given that p = 15, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 15 to c, which gives c = f + 20.\n2. Substitute f = z + 13 to c, which gives c = z + 33.\n3. Substitute z = i + 15 to c, which gives c = i + 48.\n4. Substitute i = b + 17 to c, which gives c = b + 65.\n5. Substitute b = p + 13 to c, which gives c = p + 78.\n6. Substitute p = 15 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 906,
"question": "Suppose a collection of variables is related by the following definitions: b = p + 13; f = z + 13; n = q + 18; t = a + 7; c = x + 5; z = i + 15; q = u + 11; p = 15; u = t + 6; r = n + 19; a = p + 7; x = f + 15; i = b + 17. Given that p = 15, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 16", "e": "g + 20", "l": "e + 4", "s": "l + 10", "q": "s + 18", "d": "q + 14", "j": "k + 19", "p": "j + 5", "o": "p + 13", "t": "o + 3", "f": "t + 16", "y": "f + 5", "k": 4}, "premises": {"k": 4}, "target": "d"}, "answer": {"steps": [["q", "s + 18", "s + 32"], ["s", "l + 10", "l + 42"], ["l", "e + 4", "e + 46"], ["e", "g + 20", "g + 66"], ["g", "k + 16", "k + 82"], ["k", 4, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"k": 4}, "is_reverse": true}}
| 907
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 18; o = p + 13; f = t + 16; e = g + 20; g = k + 16; j = k + 19; l = e + 4; p = j + 5; s = l + 10; d = q + 14; k = 4; t = o + 3; y = f + 5. If k = 4, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 18 to d, which gives d = s + 32.\n2. Substitute s = l + 10 to d, which gives d = l + 42.\n3. Substitute l = e + 4 to d, which gives d = e + 46.\n4. Substitute e = g + 20 to d, which gives d = g + 66.\n5. Substitute g = k + 16 to d, which gives d = k + 82.\n6. Substitute k = 4 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 907,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 18; o = p + 13; f = t + 16; e = g + 20; g = k + 16; j = k + 19; l = e + 4; p = j + 5; s = l + 10; d = q + 14; k = 4; t = o + 3; y = f + 5. If k = 4, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 14", "a": "k + 18", "e": "a + 15", "y": "e + 5", "o": "y + 9", "j": "o + 15", "v": "r + 3", "z": "v + 11", "i": "z + 4", "x": "i + 15", "m": "x + 18", "p": "m + 4", "r": 14}, "premises": {"r": 14}, "target": "j"}, "answer": {"steps": [["o", "y + 9", "y + 24"], ["y", "e + 5", "e + 29"], ["e", "a + 15", "a + 44"], ["a", "k + 18", "k + 62"], ["k", "r + 14", "r + 76"], ["r", 14, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"r": 14}, "is_reverse": true}}
| 908
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 9; j = o + 15; i = z + 4; m = x + 18; v = r + 3; y = e + 5; a = k + 18; r = 14; e = a + 15; p = m + 4; k = r + 14; x = i + 15; z = v + 11. If r = 14, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 9 to j, which gives j = y + 24.\n2. Substitute y = e + 5 to j, which gives j = e + 29.\n3. Substitute e = a + 15 to j, which gives j = a + 44.\n4. Substitute a = k + 18 to j, which gives j = k + 62.\n5. Substitute k = r + 14 to j, which gives j = r + 76.\n6. Substitute r = 14 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 9; j = o + 15; i = z + 4; m = x + 18; v = r + 3; y = e + 5; a = k + 18; r = 14; e = a + 15; p = m + 4; k = r + 14; x = i + 15; z = v + 11. If r = 14, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 8", "r": "f + 17", "o": "r + 10", "a": "o + 2", "h": "a + 1", "d": "h + 14", "c": "m + 12", "b": "c + 20", "q": "b + 15", "l": "q + 11", "j": "l + 16", "g": "j + 20", "m": 2}, "premises": {"m": 2}, "target": "d"}, "answer": {"steps": [["h", "a + 1", "a + 15"], ["a", "o + 2", "o + 17"], ["o", "r + 10", "r + 27"], ["r", "f + 17", "f + 44"], ["f", "m + 8", "m + 52"], ["m", 2, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"m": 2}, "is_reverse": true}}
| 909
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 20; d = h + 14; b = c + 20; r = f + 17; o = r + 10; l = q + 11; f = m + 8; c = m + 12; h = a + 1; q = b + 15; a = o + 2; m = 2; j = l + 16. If m = 2, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 1 to d, which gives d = a + 15.\n2. Substitute a = o + 2 to d, which gives d = o + 17.\n3. Substitute o = r + 10 to d, which gives d = r + 27.\n4. Substitute r = f + 17 to d, which gives d = f + 44.\n5. Substitute f = m + 8 to d, which gives d = m + 52.\n6. Substitute m = 2 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 20; d = h + 14; b = c + 20; r = f + 17; o = r + 10; l = q + 11; f = m + 8; c = m + 12; h = a + 1; q = b + 15; a = o + 2; m = 2; j = l + 16. If m = 2, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 13", "w": "i + 7", "u": "w + 19", "h": "u + 20", "q": "h + 4", "s": "q + 14", "j": "b + 20", "x": "j + 6", "r": "x + 15", "o": "r + 15", "n": "o + 9", "y": "n + 17", "b": 4}, "premises": {"b": 4}, "target": "s"}, "answer": {"steps": [["q", "h + 4", "h + 18"], ["h", "u + 20", "u + 38"], ["u", "w + 19", "w + 57"], ["w", "i + 7", "i + 64"], ["i", "b + 13", "b + 77"], ["b", 4, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"b": 4}, "is_reverse": true}}
| 910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 20; x = j + 6; q = h + 4; i = b + 13; y = n + 17; u = w + 19; r = x + 15; n = o + 9; w = i + 7; o = r + 15; s = q + 14; b = 4; h = u + 20. If b = 4, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 4 to s, which gives s = h + 18.\n2. Substitute h = u + 20 to s, which gives s = u + 38.\n3. Substitute u = w + 19 to s, which gives s = w + 57.\n4. Substitute w = i + 7 to s, which gives s = i + 64.\n5. Substitute i = b + 13 to s, which gives s = b + 77.\n6. Substitute b = 4 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 910,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 20; x = j + 6; q = h + 4; i = b + 13; y = n + 17; u = w + 19; r = x + 15; n = o + 9; w = i + 7; o = r + 15; s = q + 14; b = 4; h = u + 20. If b = 4, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 10", "k": "l + 9", "e": "k + 15", "q": "e + 19", "p": "q + 4", "j": "p + 14", "v": "w + 12", "g": "v + 1", "m": "g + 12", "o": "m + 12", "s": "o + 20", "x": "s + 6", "w": 9}, "premises": {"w": 9}, "target": "j"}, "answer": {"steps": [["p", "q + 4", "q + 18"], ["q", "e + 19", "e + 37"], ["e", "k + 15", "k + 52"], ["k", "l + 9", "l + 61"], ["l", "w + 10", "w + 71"], ["w", 9, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"w": 9}, "is_reverse": true}}
| 911
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 19; w = 9; v = w + 12; e = k + 15; l = w + 10; p = q + 4; j = p + 14; g = v + 1; s = o + 20; k = l + 9; m = g + 12; o = m + 12; x = s + 6. If w = 9, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 4 to j, which gives j = q + 18.\n2. Substitute q = e + 19 to j, which gives j = e + 37.\n3. Substitute e = k + 15 to j, which gives j = k + 52.\n4. Substitute k = l + 9 to j, which gives j = l + 61.\n5. Substitute l = w + 10 to j, which gives j = w + 71.\n6. Substitute w = 9 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 19; w = 9; v = w + 12; e = k + 15; l = w + 10; p = q + 4; j = p + 14; g = v + 1; s = o + 20; k = l + 9; m = g + 12; o = m + 12; x = s + 6. If w = 9, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 10", "s": "q + 19", "m": "s + 5", "a": "m + 16", "g": "a + 3", "u": "g + 9", "b": "e + 5", "v": "b + 16", "f": "v + 1", "k": "f + 14", "h": "k + 11", "t": "h + 4", "e": 17}, "premises": {"e": 17}, "target": "u"}, "answer": {"steps": [["g", "a + 3", "a + 12"], ["a", "m + 16", "m + 28"], ["m", "s + 5", "s + 33"], ["s", "q + 19", "q + 52"], ["q", "e + 10", "e + 62"], ["e", 17, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"e": 17}, "is_reverse": true}}
| 912
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 19; e = 17; t = h + 4; a = m + 16; b = e + 5; m = s + 5; u = g + 9; g = a + 3; h = k + 11; k = f + 14; v = b + 16; q = e + 10; f = v + 1. If e = 17, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 3 to u, which gives u = a + 12.\n2. Substitute a = m + 16 to u, which gives u = m + 28.\n3. Substitute m = s + 5 to u, which gives u = s + 33.\n4. Substitute s = q + 19 to u, which gives u = q + 52.\n5. Substitute q = e + 10 to u, which gives u = e + 62.\n6. Substitute e = 17 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 19; e = 17; t = h + 4; a = m + 16; b = e + 5; m = s + 5; u = g + 9; g = a + 3; h = k + 11; k = f + 14; v = b + 16; q = e + 10; f = v + 1. If e = 17, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 15", "w": "y + 20", "d": "w + 19", "s": "d + 6", "f": "s + 14", "j": "f + 13", "c": "r + 11", "u": "c + 2", "v": "u + 10", "k": "v + 17", "b": "k + 5", "o": "b + 7", "r": 12}, "premises": {"r": 12}, "target": "j"}, "answer": {"steps": [["f", "s + 14", "s + 27"], ["s", "d + 6", "d + 33"], ["d", "w + 19", "w + 52"], ["w", "y + 20", "y + 72"], ["y", "r + 15", "r + 87"], ["r", 12, "99"]], "target_var_name": "j", "target_value": 99, "value_dict": {"r": 12}, "is_reverse": true}}
| 913
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 20; u = c + 2; o = b + 7; j = f + 13; v = u + 10; b = k + 5; y = r + 15; s = d + 6; c = r + 11; r = 12; d = w + 19; k = v + 17; f = s + 14. Given that r = 12, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 14 to j, which gives j = s + 27.\n2. Substitute s = d + 6 to j, which gives j = d + 33.\n3. Substitute d = w + 19 to j, which gives j = w + 52.\n4. Substitute w = y + 20 to j, which gives j = y + 72.\n5. Substitute y = r + 15 to j, which gives j = r + 87.\n6. Substitute r = 12 to j, which gives j = 99.\n\nThus, the final answer is j = \\boxed{99}.",
"index": 913,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 20; u = c + 2; o = b + 7; j = f + 13; v = u + 10; b = k + 5; y = r + 15; s = d + 6; c = r + 11; r = 12; d = w + 19; k = v + 17; f = s + 14. Given that r = 12, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 4", "t": "y + 13", "m": "t + 10", "d": "m + 3", "l": "d + 19", "f": "l + 10", "r": "s + 6", "b": "r + 7", "v": "b + 18", "z": "v + 12", "i": "z + 2", "j": "i + 17", "s": 11}, "premises": {"s": 11}, "target": "f"}, "answer": {"steps": [["l", "d + 19", "d + 29"], ["d", "m + 3", "m + 32"], ["m", "t + 10", "t + 42"], ["t", "y + 13", "y + 55"], ["y", "s + 4", "s + 59"], ["s", 11, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"s": 11}, "is_reverse": true}}
| 914
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 10; t = y + 13; b = r + 7; s = 11; f = l + 10; d = m + 3; j = i + 17; z = v + 12; i = z + 2; r = s + 6; v = b + 18; y = s + 4; l = d + 19. If s = 11, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 19 to f, which gives f = d + 29.\n2. Substitute d = m + 3 to f, which gives f = m + 32.\n3. Substitute m = t + 10 to f, which gives f = t + 42.\n4. Substitute t = y + 13 to f, which gives f = y + 55.\n5. Substitute y = s + 4 to f, which gives f = s + 59.\n6. Substitute s = 11 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 914,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 10; t = y + 13; b = r + 7; s = 11; f = l + 10; d = m + 3; j = i + 17; z = v + 12; i = z + 2; r = s + 6; v = b + 18; y = s + 4; l = d + 19. If s = 11, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 17", "w": "e + 11", "l": "w + 4", "g": "l + 11", "b": "g + 15", "a": "b + 20", "d": "n + 7", "r": "d + 7", "o": "r + 11", "m": "o + 2", "f": "m + 10", "q": "f + 10", "n": 10}, "premises": {"n": 10}, "target": "a"}, "answer": {"steps": [["b", "g + 15", "g + 35"], ["g", "l + 11", "l + 46"], ["l", "w + 4", "w + 50"], ["w", "e + 11", "e + 61"], ["e", "n + 17", "n + 78"], ["n", 10, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"n": 10}, "is_reverse": true}}
| 915
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 4; q = f + 10; f = m + 10; w = e + 11; m = o + 2; e = n + 17; d = n + 7; n = 10; a = b + 20; r = d + 7; g = l + 11; b = g + 15; o = r + 11. If n = 10, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 15 to a, which gives a = g + 35.\n2. Substitute g = l + 11 to a, which gives a = l + 46.\n3. Substitute l = w + 4 to a, which gives a = w + 50.\n4. Substitute w = e + 11 to a, which gives a = e + 61.\n5. Substitute e = n + 17 to a, which gives a = n + 78.\n6. Substitute n = 10 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 915,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 4; q = f + 10; f = m + 10; w = e + 11; m = o + 2; e = n + 17; d = n + 7; n = 10; a = b + 20; r = d + 7; g = l + 11; b = g + 15; o = r + 11. If n = 10, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 8", "f": "u + 16", "a": "f + 14", "s": "a + 15", "e": "s + 17", "y": "e + 14", "q": "g + 19", "b": "q + 5", "x": "b + 2", "m": "x + 7", "k": "m + 14", "n": "k + 7", "g": 19}, "premises": {"g": 19}, "target": "y"}, "answer": {"steps": [["e", "s + 17", "s + 31"], ["s", "a + 15", "a + 46"], ["a", "f + 14", "f + 60"], ["f", "u + 16", "u + 76"], ["u", "g + 8", "g + 84"], ["g", 19, "103"]], "target_var_name": "y", "target_value": 103, "value_dict": {"g": 19}, "is_reverse": true}}
| 916
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 19; a = f + 14; k = m + 14; b = q + 5; q = g + 19; f = u + 16; x = b + 2; n = k + 7; u = g + 8; m = x + 7; e = s + 17; s = a + 15; y = e + 14. If g = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 17 to y, which gives y = s + 31.\n2. Substitute s = a + 15 to y, which gives y = a + 46.\n3. Substitute a = f + 14 to y, which gives y = f + 60.\n4. Substitute f = u + 16 to y, which gives y = u + 76.\n5. Substitute u = g + 8 to y, which gives y = g + 84.\n6. Substitute g = 19 to y, which gives y = 103.\n\nThus, the final answer is y = \\boxed{103}.",
"index": 916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 19; a = f + 14; k = m + 14; b = q + 5; q = g + 19; f = u + 16; x = b + 2; n = k + 7; u = g + 8; m = x + 7; e = s + 17; s = a + 15; y = e + 14. If g = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"w": "j + 1", "f": "w + 19", "h": "f + 20", "u": "h + 15", "b": "u + 16", "s": "b + 9", "k": "j + 7", "x": "k + 11", "n": "x + 13", "v": "n + 7", "g": "v + 12", "q": "g + 11", "j": 19}, "premises": {"j": 19}, "target": "s"}, "answer": {"steps": [["b", "u + 16", "u + 25"], ["u", "h + 15", "h + 40"], ["h", "f + 20", "f + 60"], ["f", "w + 19", "w + 79"], ["w", "j + 1", "j + 80"], ["j", 19, "99"]], "target_var_name": "s", "target_value": 99, "value_dict": {"j": 19}, "is_reverse": true}}
| 917
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 7; x = k + 11; u = h + 15; s = b + 9; j = 19; h = f + 20; n = x + 13; q = g + 11; v = n + 7; b = u + 16; g = v + 12; f = w + 19; w = j + 1. If j = 19, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 16 to s, which gives s = u + 25.\n2. Substitute u = h + 15 to s, which gives s = h + 40.\n3. Substitute h = f + 20 to s, which gives s = f + 60.\n4. Substitute f = w + 19 to s, which gives s = w + 79.\n5. Substitute w = j + 1 to s, which gives s = j + 80.\n6. Substitute j = 19 to s, which gives s = 99.\n\nThus, the final answer is s = \\boxed{99}.",
"index": 917,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 7; x = k + 11; u = h + 15; s = b + 9; j = 19; h = f + 20; n = x + 13; q = g + 11; v = n + 7; b = u + 16; g = v + 12; f = w + 19; w = j + 1. If j = 19, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "t + 1", "a": "v + 18", "i": "a + 2", "c": "i + 15", "w": "c + 20", "x": "w + 2", "p": "t + 5", "g": "p + 2", "n": "g + 16", "r": "n + 11", "m": "r + 10", "e": "m + 8", "t": 1}, "premises": {"t": 1}, "target": "x"}, "answer": {"steps": [["w", "c + 20", "c + 22"], ["c", "i + 15", "i + 37"], ["i", "a + 2", "a + 39"], ["a", "v + 18", "v + 57"], ["v", "t + 1", "t + 58"], ["t", 1, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"t": 1}, "is_reverse": true}}
| 918
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 5; g = p + 2; t = 1; x = w + 2; a = v + 18; e = m + 8; i = a + 2; w = c + 20; m = r + 10; v = t + 1; r = n + 11; c = i + 15; n = g + 16. If t = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 20 to x, which gives x = c + 22.\n2. Substitute c = i + 15 to x, which gives x = i + 37.\n3. Substitute i = a + 2 to x, which gives x = a + 39.\n4. Substitute a = v + 18 to x, which gives x = v + 57.\n5. Substitute v = t + 1 to x, which gives x = t + 58.\n6. Substitute t = 1 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 918,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 5; g = p + 2; t = 1; x = w + 2; a = v + 18; e = m + 8; i = a + 2; w = c + 20; m = r + 10; v = t + 1; r = n + 11; c = i + 15; n = g + 16. If t = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 20", "r": "y + 2", "m": "r + 20", "i": "m + 11", "l": "i + 7", "u": "l + 16", "j": "n + 19", "b": "j + 12", "z": "b + 9", "x": "z + 19", "d": "x + 9", "g": "d + 6", "n": 8}, "premises": {"n": 8}, "target": "u"}, "answer": {"steps": [["l", "i + 7", "i + 23"], ["i", "m + 11", "m + 34"], ["m", "r + 20", "r + 54"], ["r", "y + 2", "y + 56"], ["y", "n + 20", "n + 76"], ["n", 8, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"n": 8}, "is_reverse": true}}
| 919
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 12; m = r + 20; l = i + 7; g = d + 6; d = x + 9; j = n + 19; n = 8; x = z + 19; i = m + 11; u = l + 16; y = n + 20; r = y + 2; z = b + 9. Given that n = 8, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 7 to u, which gives u = i + 23.\n2. Substitute i = m + 11 to u, which gives u = m + 34.\n3. Substitute m = r + 20 to u, which gives u = r + 54.\n4. Substitute r = y + 2 to u, which gives u = y + 56.\n5. Substitute y = n + 20 to u, which gives u = n + 76.\n6. Substitute n = 8 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 919,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 12; m = r + 20; l = i + 7; g = d + 6; d = x + 9; j = n + 19; n = 8; x = z + 19; i = m + 11; u = l + 16; y = n + 20; r = y + 2; z = b + 9. Given that n = 8, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 5", "n": "u + 3", "r": "n + 14", "p": "r + 3", "d": "p + 11", "h": "d + 4", "b": "y + 3", "m": "b + 2", "k": "m + 20", "x": "k + 18", "o": "x + 5", "i": "o + 19", "y": 19}, "premises": {"y": 19}, "target": "h"}, "answer": {"steps": [["d", "p + 11", "p + 15"], ["p", "r + 3", "r + 18"], ["r", "n + 14", "n + 32"], ["n", "u + 3", "u + 35"], ["u", "y + 5", "y + 40"], ["y", 19, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"y": 19}, "is_reverse": true}}
| 920
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 2; p = r + 3; b = y + 3; o = x + 5; i = o + 19; x = k + 18; y = 19; r = n + 14; n = u + 3; k = m + 20; u = y + 5; d = p + 11; h = d + 4. If y = 19, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 11 to h, which gives h = p + 15.\n2. Substitute p = r + 3 to h, which gives h = r + 18.\n3. Substitute r = n + 14 to h, which gives h = n + 32.\n4. Substitute n = u + 3 to h, which gives h = u + 35.\n5. Substitute u = y + 5 to h, which gives h = y + 40.\n6. Substitute y = 19 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 2; p = r + 3; b = y + 3; o = x + 5; i = o + 19; x = k + 18; y = 19; r = n + 14; n = u + 3; k = m + 20; u = y + 5; d = p + 11; h = d + 4. If y = 19, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 16", "c": "p + 16", "l": "c + 14", "x": "l + 11", "a": "x + 16", "k": "a + 11", "b": "w + 18", "t": "b + 2", "f": "t + 19", "n": "f + 8", "g": "n + 20", "q": "g + 17", "w": 16}, "premises": {"w": 16}, "target": "k"}, "answer": {"steps": [["a", "x + 16", "x + 27"], ["x", "l + 11", "l + 38"], ["l", "c + 14", "c + 52"], ["c", "p + 16", "p + 68"], ["p", "w + 16", "w + 84"], ["w", 16, "100"]], "target_var_name": "k", "target_value": 100, "value_dict": {"w": 16}, "is_reverse": true}}
| 921
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 19; q = g + 17; c = p + 16; k = a + 11; w = 16; x = l + 11; g = n + 20; t = b + 2; n = f + 8; l = c + 14; p = w + 16; b = w + 18; a = x + 16. If w = 16, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 16 to k, which gives k = x + 27.\n2. Substitute x = l + 11 to k, which gives k = l + 38.\n3. Substitute l = c + 14 to k, which gives k = c + 52.\n4. Substitute c = p + 16 to k, which gives k = p + 68.\n5. Substitute p = w + 16 to k, which gives k = w + 84.\n6. Substitute w = 16 to k, which gives k = 100.\n\nThus, the final answer is k = \\boxed{100}.",
"index": 921,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 19; q = g + 17; c = p + 16; k = a + 11; w = 16; x = l + 11; g = n + 20; t = b + 2; n = f + 8; l = c + 14; p = w + 16; b = w + 18; a = x + 16. If w = 16, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 1", "c": "u + 18", "i": "c + 3", "l": "i + 3", "h": "l + 1", "r": "h + 1", "n": "f + 18", "q": "n + 11", "x": "q + 9", "t": "x + 10", "o": "t + 5", "b": "o + 8", "f": 11}, "premises": {"f": 11}, "target": "r"}, "answer": {"steps": [["h", "l + 1", "l + 2"], ["l", "i + 3", "i + 5"], ["i", "c + 3", "c + 8"], ["c", "u + 18", "u + 26"], ["u", "f + 1", "f + 27"], ["f", 11, "38"]], "target_var_name": "r", "target_value": 38, "value_dict": {"f": 11}, "is_reverse": true}}
| 922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 8; r = h + 1; n = f + 18; c = u + 18; t = x + 10; x = q + 9; o = t + 5; f = 11; i = c + 3; q = n + 11; u = f + 1; h = l + 1; l = i + 3. Given that f = 11, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 1 to r, which gives r = l + 2.\n2. Substitute l = i + 3 to r, which gives r = i + 5.\n3. Substitute i = c + 3 to r, which gives r = c + 8.\n4. Substitute c = u + 18 to r, which gives r = u + 26.\n5. Substitute u = f + 1 to r, which gives r = f + 27.\n6. Substitute f = 11 to r, which gives r = 38.\n\nThus, the final answer is r = \\boxed{38}.",
"index": 922,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 8; r = h + 1; n = f + 18; c = u + 18; t = x + 10; x = q + 9; o = t + 5; f = 11; i = c + 3; q = n + 11; u = f + 1; h = l + 1; l = i + 3. Given that f = 11, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 15", "h": "x + 7", "b": "h + 1", "v": "b + 9", "a": "v + 3", "u": "a + 11", "z": "r + 17", "p": "z + 20", "k": "p + 3", "n": "k + 13", "y": "n + 4", "j": "y + 19", "r": 5}, "premises": {"r": 5}, "target": "u"}, "answer": {"steps": [["a", "v + 3", "v + 14"], ["v", "b + 9", "b + 23"], ["b", "h + 1", "h + 24"], ["h", "x + 7", "x + 31"], ["x", "r + 15", "r + 46"], ["r", 5, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"r": 5}, "is_reverse": true}}
| 923
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 7; n = k + 13; j = y + 19; z = r + 17; u = a + 11; k = p + 3; x = r + 15; b = h + 1; r = 5; p = z + 20; y = n + 4; v = b + 9; a = v + 3. Given that r = 5, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 3 to u, which gives u = v + 14.\n2. Substitute v = b + 9 to u, which gives u = b + 23.\n3. Substitute b = h + 1 to u, which gives u = h + 24.\n4. Substitute h = x + 7 to u, which gives u = x + 31.\n5. Substitute x = r + 15 to u, which gives u = r + 46.\n6. Substitute r = 5 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 923,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 7; n = k + 13; j = y + 19; z = r + 17; u = a + 11; k = p + 3; x = r + 15; b = h + 1; r = 5; p = z + 20; y = n + 4; v = b + 9; a = v + 3. Given that r = 5, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 3", "i": "y + 13", "s": "i + 11", "a": "s + 14", "c": "a + 8", "g": "c + 19", "n": "b + 15", "x": "n + 3", "l": "x + 9", "r": "l + 19", "z": "r + 12", "t": "z + 18", "b": 6}, "premises": {"b": 6}, "target": "g"}, "answer": {"steps": [["c", "a + 8", "a + 27"], ["a", "s + 14", "s + 41"], ["s", "i + 11", "i + 52"], ["i", "y + 13", "y + 65"], ["y", "b + 3", "b + 68"], ["b", 6, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"b": 6}, "is_reverse": true}}
| 924
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 3; t = z + 18; l = x + 9; g = c + 19; b = 6; n = b + 15; s = i + 11; a = s + 14; x = n + 3; c = a + 8; r = l + 19; z = r + 12; i = y + 13. Given that b = 6, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 8 to g, which gives g = a + 27.\n2. Substitute a = s + 14 to g, which gives g = s + 41.\n3. Substitute s = i + 11 to g, which gives g = i + 52.\n4. Substitute i = y + 13 to g, which gives g = y + 65.\n5. Substitute y = b + 3 to g, which gives g = b + 68.\n6. Substitute b = 6 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 924,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 3; t = z + 18; l = x + 9; g = c + 19; b = 6; n = b + 15; s = i + 11; a = s + 14; x = n + 3; c = a + 8; r = l + 19; z = r + 12; i = y + 13. Given that b = 6, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 13", "r": "i + 2", "g": "r + 11", "s": "g + 1", "b": "s + 12", "z": "b + 19", "p": "v + 7", "d": "p + 10", "k": "d + 5", "w": "k + 20", "y": "w + 9", "a": "y + 15", "v": 2}, "premises": {"v": 2}, "target": "z"}, "answer": {"steps": [["b", "s + 12", "s + 31"], ["s", "g + 1", "g + 32"], ["g", "r + 11", "r + 43"], ["r", "i + 2", "i + 45"], ["i", "v + 13", "v + 58"], ["v", 2, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"v": 2}, "is_reverse": true}}
| 925
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 12; d = p + 10; w = k + 20; p = v + 7; y = w + 9; i = v + 13; r = i + 2; v = 2; g = r + 11; z = b + 19; a = y + 15; s = g + 1; k = d + 5. Given that v = 2, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 12 to z, which gives z = s + 31.\n2. Substitute s = g + 1 to z, which gives z = g + 32.\n3. Substitute g = r + 11 to z, which gives z = r + 43.\n4. Substitute r = i + 2 to z, which gives z = i + 45.\n5. Substitute i = v + 13 to z, which gives z = v + 58.\n6. Substitute v = 2 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 925,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 12; d = p + 10; w = k + 20; p = v + 7; y = w + 9; i = v + 13; r = i + 2; v = 2; g = r + 11; z = b + 19; a = y + 15; s = g + 1; k = d + 5. Given that v = 2, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 5", "v": "q + 7", "a": "v + 6", "w": "a + 15", "x": "w + 12", "o": "x + 13", "e": "h + 6", "f": "e + 6", "u": "f + 20", "d": "u + 9", "l": "d + 6", "m": "l + 11", "h": 12}, "premises": {"h": 12}, "target": "o"}, "answer": {"steps": [["x", "w + 12", "w + 25"], ["w", "a + 15", "a + 40"], ["a", "v + 6", "v + 46"], ["v", "q + 7", "q + 53"], ["q", "h + 5", "h + 58"], ["h", 12, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"h": 12}, "is_reverse": true}}
| 926
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 11; u = f + 20; d = u + 9; a = v + 6; w = a + 15; v = q + 7; f = e + 6; e = h + 6; h = 12; l = d + 6; q = h + 5; o = x + 13; x = w + 12. Given that h = 12, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 12 to o, which gives o = w + 25.\n2. Substitute w = a + 15 to o, which gives o = a + 40.\n3. Substitute a = v + 6 to o, which gives o = v + 46.\n4. Substitute v = q + 7 to o, which gives o = q + 53.\n5. Substitute q = h + 5 to o, which gives o = h + 58.\n6. Substitute h = 12 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 926,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 11; u = f + 20; d = u + 9; a = v + 6; w = a + 15; v = q + 7; f = e + 6; e = h + 6; h = 12; l = d + 6; q = h + 5; o = x + 13; x = w + 12. Given that h = 12, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "t + 7", "r": "m + 7", "e": "r + 6", "z": "e + 2", "u": "z + 2", "o": "u + 15", "d": "t + 17", "a": "d + 18", "v": "a + 14", "n": "v + 4", "y": "n + 20", "w": "y + 2", "t": 4}, "premises": {"t": 4}, "target": "o"}, "answer": {"steps": [["u", "z + 2", "z + 17"], ["z", "e + 2", "e + 19"], ["e", "r + 6", "r + 25"], ["r", "m + 7", "m + 32"], ["m", "t + 7", "t + 39"], ["t", 4, "43"]], "target_var_name": "o", "target_value": 43, "value_dict": {"t": 4}, "is_reverse": true}}
| 927
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 20; t = 4; n = v + 4; z = e + 2; a = d + 18; r = m + 7; u = z + 2; o = u + 15; m = t + 7; e = r + 6; v = a + 14; w = y + 2; d = t + 17. If t = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 2 to o, which gives o = z + 17.\n2. Substitute z = e + 2 to o, which gives o = e + 19.\n3. Substitute e = r + 6 to o, which gives o = r + 25.\n4. Substitute r = m + 7 to o, which gives o = m + 32.\n5. Substitute m = t + 7 to o, which gives o = t + 39.\n6. Substitute t = 4 to o, which gives o = 43.\n\nThus, the final answer is o = \\boxed{43}.",
"index": 927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 20; t = 4; n = v + 4; z = e + 2; a = d + 18; r = m + 7; u = z + 2; o = u + 15; m = t + 7; e = r + 6; v = a + 14; w = y + 2; d = t + 17. If t = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"f": "i + 12", "n": "f + 10", "l": "n + 2", "e": "l + 10", "m": "e + 11", "o": "m + 14", "u": "i + 17", "w": "u + 5", "g": "w + 7", "p": "g + 6", "q": "p + 4", "c": "q + 11", "i": 20}, "premises": {"i": 20}, "target": "o"}, "answer": {"steps": [["m", "e + 11", "e + 25"], ["e", "l + 10", "l + 35"], ["l", "n + 2", "n + 37"], ["n", "f + 10", "f + 47"], ["f", "i + 12", "i + 59"], ["i", 20, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"i": 20}, "is_reverse": true}}
| 928
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 6; o = m + 14; u = i + 17; q = p + 4; i = 20; c = q + 11; n = f + 10; g = w + 7; f = i + 12; e = l + 10; m = e + 11; l = n + 2; w = u + 5. If i = 20, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 11 to o, which gives o = e + 25.\n2. Substitute e = l + 10 to o, which gives o = l + 35.\n3. Substitute l = n + 2 to o, which gives o = n + 37.\n4. Substitute n = f + 10 to o, which gives o = f + 47.\n5. Substitute f = i + 12 to o, which gives o = i + 59.\n6. Substitute i = 20 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 6; o = m + 14; u = i + 17; q = p + 4; i = 20; c = q + 11; n = f + 10; g = w + 7; f = i + 12; e = l + 10; m = e + 11; l = n + 2; w = u + 5. If i = 20, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 19", "n": "o + 10", "r": "n + 5", "e": "r + 12", "d": "e + 18", "m": "d + 9", "t": "p + 11", "j": "t + 6", "q": "j + 6", "w": "q + 20", "i": "w + 7", "c": "i + 14", "p": 2}, "premises": {"p": 2}, "target": "m"}, "answer": {"steps": [["d", "e + 18", "e + 27"], ["e", "r + 12", "r + 39"], ["r", "n + 5", "n + 44"], ["n", "o + 10", "o + 54"], ["o", "p + 19", "p + 73"], ["p", 2, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"p": 2}, "is_reverse": true}}
| 929
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 19; w = q + 20; m = d + 9; n = o + 10; q = j + 6; j = t + 6; t = p + 11; d = e + 18; r = n + 5; i = w + 7; p = 2; e = r + 12; c = i + 14. If p = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 18 to m, which gives m = e + 27.\n2. Substitute e = r + 12 to m, which gives m = r + 39.\n3. Substitute r = n + 5 to m, which gives m = n + 44.\n4. Substitute n = o + 10 to m, which gives m = o + 54.\n5. Substitute o = p + 19 to m, which gives m = p + 73.\n6. Substitute p = 2 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 19; w = q + 20; m = d + 9; n = o + 10; q = j + 6; j = t + 6; t = p + 11; d = e + 18; r = n + 5; i = w + 7; p = 2; e = r + 12; c = i + 14. If p = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 18", "d": "w + 15", "c": "d + 1", "k": "c + 1", "a": "k + 13", "f": "a + 8", "r": "m + 8", "z": "r + 16", "i": "z + 17", "e": "i + 8", "q": "e + 14", "j": "q + 7", "m": 17}, "premises": {"m": 17}, "target": "f"}, "answer": {"steps": [["a", "k + 13", "k + 21"], ["k", "c + 1", "c + 22"], ["c", "d + 1", "d + 23"], ["d", "w + 15", "w + 38"], ["w", "m + 18", "m + 56"], ["m", 17, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"m": 17}, "is_reverse": true}}
| 930
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 8; q = e + 14; r = m + 8; f = a + 8; j = q + 7; k = c + 1; a = k + 13; d = w + 15; c = d + 1; w = m + 18; i = z + 17; z = r + 16; m = 17. If m = 17, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 13 to f, which gives f = k + 21.\n2. Substitute k = c + 1 to f, which gives f = c + 22.\n3. Substitute c = d + 1 to f, which gives f = d + 23.\n4. Substitute d = w + 15 to f, which gives f = w + 38.\n5. Substitute w = m + 18 to f, which gives f = m + 56.\n6. Substitute m = 17 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 930,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 8; q = e + 14; r = m + 8; f = a + 8; j = q + 7; k = c + 1; a = k + 13; d = w + 15; c = d + 1; w = m + 18; i = z + 17; z = r + 16; m = 17. If m = 17, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 11", "t": "d + 20", "e": "t + 16", "j": "e + 6", "h": "j + 19", "u": "h + 3", "b": "y + 12", "g": "b + 11", "w": "g + 18", "z": "w + 3", "x": "z + 15", "o": "x + 9", "y": 5}, "premises": {"y": 5}, "target": "u"}, "answer": {"steps": [["h", "j + 19", "j + 22"], ["j", "e + 6", "e + 28"], ["e", "t + 16", "t + 44"], ["t", "d + 20", "d + 64"], ["d", "y + 11", "y + 75"], ["y", 5, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"y": 5}, "is_reverse": true}}
| 931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 12; y = 5; u = h + 3; g = b + 11; w = g + 18; t = d + 20; e = t + 16; z = w + 3; o = x + 9; j = e + 6; d = y + 11; h = j + 19; x = z + 15. If y = 5, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 19 to u, which gives u = j + 22.\n2. Substitute j = e + 6 to u, which gives u = e + 28.\n3. Substitute e = t + 16 to u, which gives u = t + 44.\n4. Substitute t = d + 20 to u, which gives u = d + 64.\n5. Substitute d = y + 11 to u, which gives u = y + 75.\n6. Substitute y = 5 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 12; y = 5; u = h + 3; g = b + 11; w = g + 18; t = d + 20; e = t + 16; z = w + 3; o = x + 9; j = e + 6; d = y + 11; h = j + 19; x = z + 15. If y = 5, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 17", "d": "s + 4", "c": "d + 14", "w": "c + 20", "k": "w + 2", "u": "k + 12", "x": "e + 20", "b": "x + 13", "a": "b + 6", "v": "a + 3", "q": "v + 13", "f": "q + 3", "e": 11}, "premises": {"e": 11}, "target": "u"}, "answer": {"steps": [["k", "w + 2", "w + 14"], ["w", "c + 20", "c + 34"], ["c", "d + 14", "d + 48"], ["d", "s + 4", "s + 52"], ["s", "e + 17", "e + 69"], ["e", 11, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"e": 11}, "is_reverse": true}}
| 932
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 20; k = w + 2; d = s + 4; s = e + 17; x = e + 20; a = b + 6; b = x + 13; f = q + 3; c = d + 14; v = a + 3; u = k + 12; q = v + 13; e = 11. If e = 11, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 2 to u, which gives u = w + 14.\n2. Substitute w = c + 20 to u, which gives u = c + 34.\n3. Substitute c = d + 14 to u, which gives u = d + 48.\n4. Substitute d = s + 4 to u, which gives u = s + 52.\n5. Substitute s = e + 17 to u, which gives u = e + 69.\n6. Substitute e = 11 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 932,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 20; k = w + 2; d = s + 4; s = e + 17; x = e + 20; a = b + 6; b = x + 13; f = q + 3; c = d + 14; v = a + 3; u = k + 12; q = v + 13; e = 11. If e = 11, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 14", "p": "s + 11", "i": "p + 7", "o": "i + 7", "f": "o + 1", "w": "f + 7", "z": "d + 6", "q": "z + 19", "k": "q + 3", "y": "k + 3", "c": "y + 16", "n": "c + 3", "d": 20}, "premises": {"d": 20}, "target": "w"}, "answer": {"steps": [["f", "o + 1", "o + 8"], ["o", "i + 7", "i + 15"], ["i", "p + 7", "p + 22"], ["p", "s + 11", "s + 33"], ["s", "d + 14", "d + 47"], ["d", 20, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"d": 20}, "is_reverse": true}}
| 933
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 16; o = i + 7; s = d + 14; f = o + 1; q = z + 19; p = s + 11; d = 20; y = k + 3; i = p + 7; k = q + 3; w = f + 7; n = c + 3; z = d + 6. If d = 20, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 1 to w, which gives w = o + 8.\n2. Substitute o = i + 7 to w, which gives w = i + 15.\n3. Substitute i = p + 7 to w, which gives w = p + 22.\n4. Substitute p = s + 11 to w, which gives w = s + 33.\n5. Substitute s = d + 14 to w, which gives w = d + 47.\n6. Substitute d = 20 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 933,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 16; o = i + 7; s = d + 14; f = o + 1; q = z + 19; p = s + 11; d = 20; y = k + 3; i = p + 7; k = q + 3; w = f + 7; n = c + 3; z = d + 6. If d = 20, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 16", "n": "a + 17", "k": "n + 6", "x": "k + 14", "o": "x + 1", "z": "o + 5", "y": "i + 14", "p": "y + 19", "r": "p + 17", "t": "r + 10", "u": "t + 1", "f": "u + 2", "i": 13}, "premises": {"i": 13}, "target": "z"}, "answer": {"steps": [["o", "x + 1", "x + 6"], ["x", "k + 14", "k + 20"], ["k", "n + 6", "n + 26"], ["n", "a + 17", "a + 43"], ["a", "i + 16", "i + 59"], ["i", 13, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"i": 13}, "is_reverse": true}}
| 934
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = 13; n = a + 17; r = p + 17; k = n + 6; z = o + 5; t = r + 10; x = k + 14; o = x + 1; p = y + 19; f = u + 2; a = i + 16; y = i + 14; u = t + 1. Given that i = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 1 to z, which gives z = x + 6.\n2. Substitute x = k + 14 to z, which gives z = k + 20.\n3. Substitute k = n + 6 to z, which gives z = n + 26.\n4. Substitute n = a + 17 to z, which gives z = a + 43.\n5. Substitute a = i + 16 to z, which gives z = i + 59.\n6. Substitute i = 13 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 934,
"question": "Suppose a collection of variables is related by the following definitions: i = 13; n = a + 17; r = p + 17; k = n + 6; z = o + 5; t = r + 10; x = k + 14; o = x + 1; p = y + 19; f = u + 2; a = i + 16; y = i + 14; u = t + 1. Given that i = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 16", "u": "z + 13", "n": "u + 11", "x": "n + 1", "w": "x + 2", "e": "w + 14", "g": "i + 3", "r": "g + 1", "b": "r + 20", "f": "b + 12", "q": "f + 7", "j": "q + 1", "i": 9}, "premises": {"i": 9}, "target": "e"}, "answer": {"steps": [["w", "x + 2", "x + 16"], ["x", "n + 1", "n + 17"], ["n", "u + 11", "u + 28"], ["u", "z + 13", "z + 41"], ["z", "i + 16", "i + 57"], ["i", 9, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"i": 9}, "is_reverse": true}}
| 935
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 1; w = x + 2; g = i + 3; x = n + 1; f = b + 12; q = f + 7; z = i + 16; e = w + 14; r = g + 1; i = 9; n = u + 11; b = r + 20; u = z + 13. If i = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 2 to e, which gives e = x + 16.\n2. Substitute x = n + 1 to e, which gives e = n + 17.\n3. Substitute n = u + 11 to e, which gives e = u + 28.\n4. Substitute u = z + 13 to e, which gives e = z + 41.\n5. Substitute z = i + 16 to e, which gives e = i + 57.\n6. Substitute i = 9 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 935,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 1; w = x + 2; g = i + 3; x = n + 1; f = b + 12; q = f + 7; z = i + 16; e = w + 14; r = g + 1; i = 9; n = u + 11; b = r + 20; u = z + 13. If i = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 6", "g": "y + 9", "r": "g + 5", "l": "r + 13", "o": "l + 16", "h": "o + 18", "k": "e + 4", "w": "k + 20", "p": "w + 6", "m": "p + 17", "j": "m + 2", "q": "j + 16", "e": 8}, "premises": {"e": 8}, "target": "h"}, "answer": {"steps": [["o", "l + 16", "l + 34"], ["l", "r + 13", "r + 47"], ["r", "g + 5", "g + 52"], ["g", "y + 9", "y + 61"], ["y", "e + 6", "e + 67"], ["e", 8, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"e": 8}, "is_reverse": true}}
| 936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 16; r = g + 5; w = k + 20; y = e + 6; g = y + 9; m = p + 17; l = r + 13; q = j + 16; p = w + 6; j = m + 2; k = e + 4; e = 8; h = o + 18. If e = 8, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 16 to h, which gives h = l + 34.\n2. Substitute l = r + 13 to h, which gives h = r + 47.\n3. Substitute r = g + 5 to h, which gives h = g + 52.\n4. Substitute g = y + 9 to h, which gives h = y + 61.\n5. Substitute y = e + 6 to h, which gives h = e + 67.\n6. Substitute e = 8 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 936,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 16; r = g + 5; w = k + 20; y = e + 6; g = y + 9; m = p + 17; l = r + 13; q = j + 16; p = w + 6; j = m + 2; k = e + 4; e = 8; h = o + 18. If e = 8, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 3", "j": "w + 10", "x": "j + 1", "u": "x + 19", "s": "u + 11", "y": "s + 20", "h": "k + 12", "t": "h + 3", "d": "t + 11", "q": "d + 9", "z": "q + 15", "e": "z + 18", "k": 14}, "premises": {"k": 14}, "target": "y"}, "answer": {"steps": [["s", "u + 11", "u + 31"], ["u", "x + 19", "x + 50"], ["x", "j + 1", "j + 51"], ["j", "w + 10", "w + 61"], ["w", "k + 3", "k + 64"], ["k", 14, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"k": 14}, "is_reverse": true}}
| 937
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 11; k = 14; z = q + 15; u = x + 19; j = w + 10; s = u + 11; h = k + 12; w = k + 3; x = j + 1; y = s + 20; t = h + 3; q = d + 9; e = z + 18. If k = 14, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 11 to y, which gives y = u + 31.\n2. Substitute u = x + 19 to y, which gives y = x + 50.\n3. Substitute x = j + 1 to y, which gives y = j + 51.\n4. Substitute j = w + 10 to y, which gives y = w + 61.\n5. Substitute w = k + 3 to y, which gives y = k + 64.\n6. Substitute k = 14 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 11; k = 14; z = q + 15; u = x + 19; j = w + 10; s = u + 11; h = k + 12; w = k + 3; x = j + 1; y = s + 20; t = h + 3; q = d + 9; e = z + 18. If k = 14, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 3", "u": "c + 2", "s": "u + 16", "w": "s + 1", "h": "w + 18", "q": "h + 14", "r": "t + 8", "i": "r + 15", "b": "i + 17", "v": "b + 2", "z": "v + 3", "o": "z + 11", "t": 20}, "premises": {"t": 20}, "target": "q"}, "answer": {"steps": [["h", "w + 18", "w + 32"], ["w", "s + 1", "s + 33"], ["s", "u + 16", "u + 49"], ["u", "c + 2", "c + 51"], ["c", "t + 3", "t + 54"], ["t", 20, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"t": 20}, "is_reverse": true}}
| 938
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = 20; v = b + 2; z = v + 3; b = i + 17; i = r + 15; h = w + 18; s = u + 16; o = z + 11; u = c + 2; w = s + 1; q = h + 14; r = t + 8; c = t + 3. Given that t = 20, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 18 to q, which gives q = w + 32.\n2. Substitute w = s + 1 to q, which gives q = s + 33.\n3. Substitute s = u + 16 to q, which gives q = u + 49.\n4. Substitute u = c + 2 to q, which gives q = c + 51.\n5. Substitute c = t + 3 to q, which gives q = t + 54.\n6. Substitute t = 20 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 938,
"question": "Suppose a collection of variables is related by the following definitions: t = 20; v = b + 2; z = v + 3; b = i + 17; i = r + 15; h = w + 18; s = u + 16; o = z + 11; u = c + 2; w = s + 1; q = h + 14; r = t + 8; c = t + 3. Given that t = 20, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 9", "p": "o + 3", "a": "p + 13", "r": "a + 1", "z": "r + 9", "s": "z + 2", "v": "y + 13", "u": "v + 12", "q": "u + 11", "h": "q + 15", "l": "h + 2", "x": "l + 5", "y": 3}, "premises": {"y": 3}, "target": "s"}, "answer": {"steps": [["z", "r + 9", "r + 11"], ["r", "a + 1", "a + 12"], ["a", "p + 13", "p + 25"], ["p", "o + 3", "o + 28"], ["o", "y + 9", "y + 37"], ["y", 3, "40"]], "target_var_name": "s", "target_value": 40, "value_dict": {"y": 3}, "is_reverse": true}}
| 939
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 9; p = o + 3; z = r + 9; r = a + 1; u = v + 12; l = h + 2; v = y + 13; x = l + 5; h = q + 15; y = 3; s = z + 2; a = p + 13; q = u + 11. Given that y = 3, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 9 to s, which gives s = r + 11.\n2. Substitute r = a + 1 to s, which gives s = a + 12.\n3. Substitute a = p + 13 to s, which gives s = p + 25.\n4. Substitute p = o + 3 to s, which gives s = o + 28.\n5. Substitute o = y + 9 to s, which gives s = y + 37.\n6. Substitute y = 3 to s, which gives s = 40.\n\nThus, the final answer is s = \\boxed{40}.",
"index": 939,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 9; p = o + 3; z = r + 9; r = a + 1; u = v + 12; l = h + 2; v = y + 13; x = l + 5; h = q + 15; y = 3; s = z + 2; a = p + 13; q = u + 11. Given that y = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 16", "x": "d + 16", "m": "x + 15", "z": "m + 12", "j": "z + 20", "u": "j + 19", "t": "n + 7", "c": "t + 20", "o": "c + 7", "k": "o + 9", "i": "k + 4", "b": "i + 2", "n": 17}, "premises": {"n": 17}, "target": "u"}, "answer": {"steps": [["j", "z + 20", "z + 39"], ["z", "m + 12", "m + 51"], ["m", "x + 15", "x + 66"], ["x", "d + 16", "d + 82"], ["d", "n + 16", "n + 98"], ["n", 17, "115"]], "target_var_name": "u", "target_value": 115, "value_dict": {"n": 17}, "is_reverse": true}}
| 940
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = m + 12; j = z + 20; d = n + 16; x = d + 16; m = x + 15; i = k + 4; o = c + 7; u = j + 19; k = o + 9; b = i + 2; t = n + 7; c = t + 20; n = 17. Given that n = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 115,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 20 to u, which gives u = z + 39.\n2. Substitute z = m + 12 to u, which gives u = m + 51.\n3. Substitute m = x + 15 to u, which gives u = x + 66.\n4. Substitute x = d + 16 to u, which gives u = d + 82.\n5. Substitute d = n + 16 to u, which gives u = n + 98.\n6. Substitute n = 17 to u, which gives u = 115.\n\nThus, the final answer is u = \\boxed{115}.",
"index": 940,
"question": "Suppose a collection of variables is related by the following definitions: z = m + 12; j = z + 20; d = n + 16; x = d + 16; m = x + 15; i = k + 4; o = c + 7; u = j + 19; k = o + 9; b = i + 2; t = n + 7; c = t + 20; n = 17. Given that n = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 12", "b": "d + 7", "c": "b + 2", "h": "c + 1", "p": "h + 4", "u": "p + 15", "j": "z + 4", "w": "j + 3", "q": "w + 1", "x": "q + 11", "g": "x + 15", "a": "g + 9", "z": 9}, "premises": {"z": 9}, "target": "u"}, "answer": {"steps": [["p", "h + 4", "h + 19"], ["h", "c + 1", "c + 20"], ["c", "b + 2", "b + 22"], ["b", "d + 7", "d + 29"], ["d", "z + 12", "z + 41"], ["z", 9, "50"]], "target_var_name": "u", "target_value": 50, "value_dict": {"z": 9}, "is_reverse": true}}
| 941
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 11; j = z + 4; w = j + 3; g = x + 15; d = z + 12; p = h + 4; b = d + 7; q = w + 1; a = g + 9; u = p + 15; h = c + 1; c = b + 2; z = 9. If z = 9, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 4 to u, which gives u = h + 19.\n2. Substitute h = c + 1 to u, which gives u = c + 20.\n3. Substitute c = b + 2 to u, which gives u = b + 22.\n4. Substitute b = d + 7 to u, which gives u = d + 29.\n5. Substitute d = z + 12 to u, which gives u = z + 41.\n6. Substitute z = 9 to u, which gives u = 50.\n\nThus, the final answer is u = \\boxed{50}.",
"index": 941,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 11; j = z + 4; w = j + 3; g = x + 15; d = z + 12; p = h + 4; b = d + 7; q = w + 1; a = g + 9; u = p + 15; h = c + 1; c = b + 2; z = 9. If z = 9, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 20", "r": "g + 9", "l": "r + 3", "a": "l + 12", "p": "a + 16", "j": "p + 12", "h": "m + 13", "o": "h + 8", "n": "o + 18", "e": "n + 11", "b": "e + 19", "f": "b + 17", "m": 16}, "premises": {"m": 16}, "target": "j"}, "answer": {"steps": [["p", "a + 16", "a + 28"], ["a", "l + 12", "l + 40"], ["l", "r + 3", "r + 43"], ["r", "g + 9", "g + 52"], ["g", "m + 20", "m + 72"], ["m", 16, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"m": 16}, "is_reverse": true}}
| 942
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 9; h = m + 13; p = a + 16; l = r + 3; f = b + 17; m = 16; a = l + 12; j = p + 12; o = h + 8; e = n + 11; n = o + 18; g = m + 20; b = e + 19. If m = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 16 to j, which gives j = a + 28.\n2. Substitute a = l + 12 to j, which gives j = l + 40.\n3. Substitute l = r + 3 to j, which gives j = r + 43.\n4. Substitute r = g + 9 to j, which gives j = g + 52.\n5. Substitute g = m + 20 to j, which gives j = m + 72.\n6. Substitute m = 16 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 9; h = m + 13; p = a + 16; l = r + 3; f = b + 17; m = 16; a = l + 12; j = p + 12; o = h + 8; e = n + 11; n = o + 18; g = m + 20; b = e + 19. If m = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"n": "o + 15", "d": "n + 1", "u": "d + 13", "p": "u + 15", "f": "p + 5", "r": "f + 18", "v": "o + 11", "s": "v + 17", "t": "s + 5", "k": "t + 5", "q": "k + 19", "w": "q + 18", "o": 3}, "premises": {"o": 3}, "target": "r"}, "answer": {"steps": [["f", "p + 5", "p + 23"], ["p", "u + 15", "u + 38"], ["u", "d + 13", "d + 51"], ["d", "n + 1", "n + 52"], ["n", "o + 15", "o + 67"], ["o", 3, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"o": 3}, "is_reverse": true}}
| 943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 5; k = t + 5; q = k + 19; p = u + 15; r = f + 18; u = d + 13; o = 3; n = o + 15; v = o + 11; s = v + 17; w = q + 18; t = s + 5; d = n + 1. If o = 3, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 5 to r, which gives r = p + 23.\n2. Substitute p = u + 15 to r, which gives r = u + 38.\n3. Substitute u = d + 13 to r, which gives r = d + 51.\n4. Substitute d = n + 1 to r, which gives r = n + 52.\n5. Substitute n = o + 15 to r, which gives r = o + 67.\n6. Substitute o = 3 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 5; k = t + 5; q = k + 19; p = u + 15; r = f + 18; u = d + 13; o = 3; n = o + 15; v = o + 11; s = v + 17; w = q + 18; t = s + 5; d = n + 1. If o = 3, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 15", "v": "t + 8", "z": "v + 19", "y": "z + 20", "h": "y + 12", "o": "h + 4", "e": "x + 9", "g": "e + 18", "n": "g + 17", "u": "n + 13", "b": "u + 17", "q": "b + 5", "x": 20}, "premises": {"x": 20}, "target": "o"}, "answer": {"steps": [["h", "y + 12", "y + 16"], ["y", "z + 20", "z + 36"], ["z", "v + 19", "v + 55"], ["v", "t + 8", "t + 63"], ["t", "x + 15", "x + 78"], ["x", 20, "98"]], "target_var_name": "o", "target_value": 98, "value_dict": {"x": 20}, "is_reverse": true}}
| 944
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 5; y = z + 20; u = n + 13; t = x + 15; v = t + 8; z = v + 19; o = h + 4; e = x + 9; x = 20; h = y + 12; b = u + 17; g = e + 18; n = g + 17. If x = 20, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 12 to o, which gives o = y + 16.\n2. Substitute y = z + 20 to o, which gives o = z + 36.\n3. Substitute z = v + 19 to o, which gives o = v + 55.\n4. Substitute v = t + 8 to o, which gives o = t + 63.\n5. Substitute t = x + 15 to o, which gives o = x + 78.\n6. Substitute x = 20 to o, which gives o = 98.\n\nThus, the final answer is o = \\boxed{98}.",
"index": 944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 5; y = z + 20; u = n + 13; t = x + 15; v = t + 8; z = v + 19; o = h + 4; e = x + 9; x = 20; h = y + 12; b = u + 17; g = e + 18; n = g + 17. If x = 20, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 13", "e": "o + 12", "s": "e + 2", "b": "s + 9", "w": "b + 6", "j": "w + 7", "c": "k + 8", "m": "c + 20", "g": "m + 20", "u": "g + 1", "l": "u + 16", "x": "l + 13", "k": 2}, "premises": {"k": 2}, "target": "j"}, "answer": {"steps": [["w", "b + 6", "b + 13"], ["b", "s + 9", "s + 22"], ["s", "e + 2", "e + 24"], ["e", "o + 12", "o + 36"], ["o", "k + 13", "k + 49"], ["k", 2, "51"]], "target_var_name": "j", "target_value": 51, "value_dict": {"k": 2}, "is_reverse": true}}
| 945
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 20; s = e + 2; l = u + 16; u = g + 1; g = m + 20; e = o + 12; c = k + 8; j = w + 7; b = s + 9; k = 2; o = k + 13; x = l + 13; w = b + 6. If k = 2, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 6 to j, which gives j = b + 13.\n2. Substitute b = s + 9 to j, which gives j = s + 22.\n3. Substitute s = e + 2 to j, which gives j = e + 24.\n4. Substitute e = o + 12 to j, which gives j = o + 36.\n5. Substitute o = k + 13 to j, which gives j = k + 49.\n6. Substitute k = 2 to j, which gives j = 51.\n\nThus, the final answer is j = \\boxed{51}.",
"index": 945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 20; s = e + 2; l = u + 16; u = g + 1; g = m + 20; e = o + 12; c = k + 8; j = w + 7; b = s + 9; k = 2; o = k + 13; x = l + 13; w = b + 6. If k = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 11", "x": "d + 12", "j": "x + 18", "l": "j + 20", "v": "l + 11", "c": "v + 13", "r": "p + 10", "w": "r + 12", "n": "w + 13", "e": "n + 4", "m": "e + 3", "o": "m + 3", "p": 8}, "premises": {"p": 8}, "target": "c"}, "answer": {"steps": [["v", "l + 11", "l + 24"], ["l", "j + 20", "j + 44"], ["j", "x + 18", "x + 62"], ["x", "d + 12", "d + 74"], ["d", "p + 11", "p + 85"], ["p", 8, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"p": 8}, "is_reverse": true}}
| 946
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 11; l = j + 20; x = d + 12; r = p + 10; o = m + 3; c = v + 13; w = r + 12; e = n + 4; n = w + 13; d = p + 11; j = x + 18; p = 8; m = e + 3. If p = 8, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 11 to c, which gives c = l + 24.\n2. Substitute l = j + 20 to c, which gives c = j + 44.\n3. Substitute j = x + 18 to c, which gives c = x + 62.\n4. Substitute x = d + 12 to c, which gives c = d + 74.\n5. Substitute d = p + 11 to c, which gives c = p + 85.\n6. Substitute p = 8 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 946,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 11; l = j + 20; x = d + 12; r = p + 10; o = m + 3; c = v + 13; w = r + 12; e = n + 4; n = w + 13; d = p + 11; j = x + 18; p = 8; m = e + 3. If p = 8, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 4", "q": "m + 9", "z": "q + 8", "t": "z + 16", "r": "t + 3", "a": "r + 18", "e": "l + 14", "g": "e + 9", "p": "g + 9", "j": "p + 11", "n": "j + 7", "f": "n + 12", "l": 4}, "premises": {"l": 4}, "target": "a"}, "answer": {"steps": [["r", "t + 3", "t + 21"], ["t", "z + 16", "z + 37"], ["z", "q + 8", "q + 45"], ["q", "m + 9", "m + 54"], ["m", "l + 4", "l + 58"], ["l", 4, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"l": 4}, "is_reverse": true}}
| 947
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 18; z = q + 8; n = j + 7; p = g + 9; q = m + 9; f = n + 12; t = z + 16; g = e + 9; m = l + 4; r = t + 3; j = p + 11; e = l + 14; l = 4. If l = 4, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 3 to a, which gives a = t + 21.\n2. Substitute t = z + 16 to a, which gives a = z + 37.\n3. Substitute z = q + 8 to a, which gives a = q + 45.\n4. Substitute q = m + 9 to a, which gives a = m + 54.\n5. Substitute m = l + 4 to a, which gives a = l + 58.\n6. Substitute l = 4 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 947,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 18; z = q + 8; n = j + 7; p = g + 9; q = m + 9; f = n + 12; t = z + 16; g = e + 9; m = l + 4; r = t + 3; j = p + 11; e = l + 14; l = 4. If l = 4, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 20", "c": "m + 11", "b": "c + 15", "n": "b + 19", "u": "n + 5", "i": "u + 14", "r": "s + 1", "q": "r + 16", "p": "q + 12", "e": "p + 7", "a": "e + 15", "k": "a + 6", "s": 19}, "premises": {"s": 19}, "target": "i"}, "answer": {"steps": [["u", "n + 5", "n + 19"], ["n", "b + 19", "b + 38"], ["b", "c + 15", "c + 53"], ["c", "m + 11", "m + 64"], ["m", "s + 20", "s + 84"], ["s", 19, "103"]], "target_var_name": "i", "target_value": 103, "value_dict": {"s": 19}, "is_reverse": true}}
| 948
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 12; q = r + 16; u = n + 5; e = p + 7; b = c + 15; m = s + 20; r = s + 1; c = m + 11; n = b + 19; s = 19; k = a + 6; a = e + 15; i = u + 14. If s = 19, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 5 to i, which gives i = n + 19.\n2. Substitute n = b + 19 to i, which gives i = b + 38.\n3. Substitute b = c + 15 to i, which gives i = c + 53.\n4. Substitute c = m + 11 to i, which gives i = m + 64.\n5. Substitute m = s + 20 to i, which gives i = s + 84.\n6. Substitute s = 19 to i, which gives i = 103.\n\nThus, the final answer is i = \\boxed{103}.",
"index": 948,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 12; q = r + 16; u = n + 5; e = p + 7; b = c + 15; m = s + 20; r = s + 1; c = m + 11; n = b + 19; s = 19; k = a + 6; a = e + 15; i = u + 14. If s = 19, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 18", "n": "l + 13", "k": "n + 1", "y": "k + 9", "q": "y + 5", "u": "q + 17", "o": "m + 2", "r": "o + 6", "f": "r + 9", "p": "f + 20", "c": "p + 12", "a": "c + 15", "m": 15}, "premises": {"m": 15}, "target": "u"}, "answer": {"steps": [["q", "y + 5", "y + 22"], ["y", "k + 9", "k + 31"], ["k", "n + 1", "n + 32"], ["n", "l + 13", "l + 45"], ["l", "m + 18", "m + 63"], ["m", 15, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"m": 15}, "is_reverse": true}}
| 949
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = 15; y = k + 9; a = c + 15; p = f + 20; f = r + 9; l = m + 18; c = p + 12; k = n + 1; o = m + 2; r = o + 6; q = y + 5; n = l + 13; u = q + 17. Given that m = 15, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 5 to u, which gives u = y + 22.\n2. Substitute y = k + 9 to u, which gives u = k + 31.\n3. Substitute k = n + 1 to u, which gives u = n + 32.\n4. Substitute n = l + 13 to u, which gives u = l + 45.\n5. Substitute l = m + 18 to u, which gives u = m + 63.\n6. Substitute m = 15 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 949,
"question": "Suppose a collection of variables is related by the following definitions: m = 15; y = k + 9; a = c + 15; p = f + 20; f = r + 9; l = m + 18; c = p + 12; k = n + 1; o = m + 2; r = o + 6; q = y + 5; n = l + 13; u = q + 17. Given that m = 15, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 10", "e": "c + 14", "g": "e + 9", "w": "g + 9", "y": "w + 2", "x": "y + 18", "a": "h + 17", "i": "a + 16", "n": "i + 12", "p": "n + 16", "l": "p + 4", "r": "l + 3", "h": 1}, "premises": {"h": 1}, "target": "x"}, "answer": {"steps": [["y", "w + 2", "w + 20"], ["w", "g + 9", "g + 29"], ["g", "e + 9", "e + 38"], ["e", "c + 14", "c + 52"], ["c", "h + 10", "h + 62"], ["h", 1, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"h": 1}, "is_reverse": true}}
| 950
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 9; x = y + 18; r = l + 3; l = p + 4; e = c + 14; p = n + 16; g = e + 9; c = h + 10; a = h + 17; y = w + 2; n = i + 12; i = a + 16; h = 1. If h = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 2 to x, which gives x = w + 20.\n2. Substitute w = g + 9 to x, which gives x = g + 29.\n3. Substitute g = e + 9 to x, which gives x = e + 38.\n4. Substitute e = c + 14 to x, which gives x = c + 52.\n5. Substitute c = h + 10 to x, which gives x = h + 62.\n6. Substitute h = 1 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 950,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 9; x = y + 18; r = l + 3; l = p + 4; e = c + 14; p = n + 16; g = e + 9; c = h + 10; a = h + 17; y = w + 2; n = i + 12; i = a + 16; h = 1. If h = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 4", "l": "q + 19", "v": "l + 2", "o": "v + 7", "h": "o + 15", "s": "h + 13", "k": "t + 15", "x": "k + 18", "z": "x + 15", "w": "z + 6", "j": "w + 17", "r": "j + 20", "t": 8}, "premises": {"t": 8}, "target": "s"}, "answer": {"steps": [["h", "o + 15", "o + 28"], ["o", "v + 7", "v + 35"], ["v", "l + 2", "l + 37"], ["l", "q + 19", "q + 56"], ["q", "t + 4", "t + 60"], ["t", 8, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"t": 8}, "is_reverse": true}}
| 951
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 15; o = v + 7; w = z + 6; j = w + 17; x = k + 18; t = 8; h = o + 15; r = j + 20; q = t + 4; s = h + 13; v = l + 2; l = q + 19; k = t + 15. If t = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 15 to s, which gives s = o + 28.\n2. Substitute o = v + 7 to s, which gives s = v + 35.\n3. Substitute v = l + 2 to s, which gives s = l + 37.\n4. Substitute l = q + 19 to s, which gives s = q + 56.\n5. Substitute q = t + 4 to s, which gives s = t + 60.\n6. Substitute t = 8 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 15; o = v + 7; w = z + 6; j = w + 17; x = k + 18; t = 8; h = o + 15; r = j + 20; q = t + 4; s = h + 13; v = l + 2; l = q + 19; k = t + 15. If t = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 13", "s": "y + 12", "e": "s + 13", "c": "e + 1", "m": "c + 2", "b": "m + 10", "v": "u + 3", "p": "v + 1", "z": "p + 14", "h": "z + 19", "x": "h + 19", "a": "x + 17", "u": 16}, "premises": {"u": 16}, "target": "b"}, "answer": {"steps": [["m", "c + 2", "c + 12"], ["c", "e + 1", "e + 13"], ["e", "s + 13", "s + 26"], ["s", "y + 12", "y + 38"], ["y", "u + 13", "u + 51"], ["u", 16, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"u": 16}, "is_reverse": true}}
| 952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = z + 19; z = p + 14; m = c + 2; x = h + 19; u = 16; a = x + 17; s = y + 12; y = u + 13; c = e + 1; e = s + 13; v = u + 3; p = v + 1; b = m + 10. If u = 16, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 2 to b, which gives b = c + 12.\n2. Substitute c = e + 1 to b, which gives b = e + 13.\n3. Substitute e = s + 13 to b, which gives b = s + 26.\n4. Substitute s = y + 12 to b, which gives b = y + 38.\n5. Substitute y = u + 13 to b, which gives b = u + 51.\n6. Substitute u = 16 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 952,
"question": "Consider a system of variables where each variable is defined as follows: h = z + 19; z = p + 14; m = c + 2; x = h + 19; u = 16; a = x + 17; s = y + 12; y = u + 13; c = e + 1; e = s + 13; v = u + 3; p = v + 1; b = m + 10. If u = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 2", "h": "t + 10", "o": "h + 13", "p": "o + 18", "s": "p + 10", "m": "s + 6", "z": "e + 8", "j": "z + 10", "k": "j + 7", "r": "k + 9", "l": "r + 2", "x": "l + 18", "e": 11}, "premises": {"e": 11}, "target": "m"}, "answer": {"steps": [["s", "p + 10", "p + 16"], ["p", "o + 18", "o + 34"], ["o", "h + 13", "h + 47"], ["h", "t + 10", "t + 57"], ["t", "e + 2", "e + 59"], ["e", 11, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"e": 11}, "is_reverse": true}}
| 953
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 10; e = 11; h = t + 10; j = z + 10; p = o + 18; k = j + 7; m = s + 6; z = e + 8; x = l + 18; r = k + 9; t = e + 2; l = r + 2; o = h + 13. If e = 11, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 10 to m, which gives m = p + 16.\n2. Substitute p = o + 18 to m, which gives m = o + 34.\n3. Substitute o = h + 13 to m, which gives m = h + 47.\n4. Substitute h = t + 10 to m, which gives m = t + 57.\n5. Substitute t = e + 2 to m, which gives m = e + 59.\n6. Substitute e = 11 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 953,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 10; e = 11; h = t + 10; j = z + 10; p = o + 18; k = j + 7; m = s + 6; z = e + 8; x = l + 18; r = k + 9; t = e + 2; l = r + 2; o = h + 13. If e = 11, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 5", "u": "t + 11", "q": "u + 19", "a": "q + 8", "r": "a + 11", "v": "r + 3", "m": "p + 4", "d": "m + 20", "k": "d + 10", "z": "k + 5", "g": "z + 4", "l": "g + 18", "p": 11}, "premises": {"p": 11}, "target": "v"}, "answer": {"steps": [["r", "a + 11", "a + 14"], ["a", "q + 8", "q + 22"], ["q", "u + 19", "u + 41"], ["u", "t + 11", "t + 52"], ["t", "p + 5", "p + 57"], ["p", 11, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"p": 11}, "is_reverse": true}}
| 954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 8; p = 11; u = t + 11; v = r + 3; g = z + 4; z = k + 5; t = p + 5; m = p + 4; q = u + 19; k = d + 10; l = g + 18; r = a + 11; d = m + 20. Given that p = 11, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 11 to v, which gives v = a + 14.\n2. Substitute a = q + 8 to v, which gives v = q + 22.\n3. Substitute q = u + 19 to v, which gives v = u + 41.\n4. Substitute u = t + 11 to v, which gives v = t + 52.\n5. Substitute t = p + 5 to v, which gives v = p + 57.\n6. Substitute p = 11 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 954,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 8; p = 11; u = t + 11; v = r + 3; g = z + 4; z = k + 5; t = p + 5; m = p + 4; q = u + 19; k = d + 10; l = g + 18; r = a + 11; d = m + 20. Given that p = 11, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 8", "a": "j + 17", "s": "a + 19", "r": "s + 6", "h": "r + 19", "w": "h + 8", "t": "d + 4", "q": "t + 1", "k": "q + 17", "o": "k + 18", "f": "o + 15", "c": "f + 17", "d": 13}, "premises": {"d": 13}, "target": "w"}, "answer": {"steps": [["h", "r + 19", "r + 27"], ["r", "s + 6", "s + 33"], ["s", "a + 19", "a + 52"], ["a", "j + 17", "j + 69"], ["j", "d + 8", "d + 77"], ["d", 13, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"d": 13}, "is_reverse": true}}
| 955
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 19; c = f + 17; t = d + 4; w = h + 8; k = q + 17; f = o + 15; q = t + 1; j = d + 8; a = j + 17; o = k + 18; d = 13; r = s + 6; h = r + 19. Given that d = 13, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 19 to w, which gives w = r + 27.\n2. Substitute r = s + 6 to w, which gives w = s + 33.\n3. Substitute s = a + 19 to w, which gives w = a + 52.\n4. Substitute a = j + 17 to w, which gives w = j + 69.\n5. Substitute j = d + 8 to w, which gives w = d + 77.\n6. Substitute d = 13 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 955,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 19; c = f + 17; t = d + 4; w = h + 8; k = q + 17; f = o + 15; q = t + 1; j = d + 8; a = j + 17; o = k + 18; d = 13; r = s + 6; h = r + 19. Given that d = 13, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 3", "b": "o + 14", "r": "b + 6", "w": "r + 17", "i": "w + 19", "a": "i + 19", "j": "p + 15", "f": "j + 6", "x": "f + 5", "k": "x + 17", "e": "k + 8", "d": "e + 6", "p": 19}, "premises": {"p": 19}, "target": "a"}, "answer": {"steps": [["i", "w + 19", "w + 38"], ["w", "r + 17", "r + 55"], ["r", "b + 6", "b + 61"], ["b", "o + 14", "o + 75"], ["o", "p + 3", "p + 78"], ["p", 19, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"p": 19}, "is_reverse": true}}
| 956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 8; w = r + 17; f = j + 6; b = o + 14; k = x + 17; j = p + 15; o = p + 3; d = e + 6; a = i + 19; i = w + 19; x = f + 5; p = 19; r = b + 6. If p = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 19 to a, which gives a = w + 38.\n2. Substitute w = r + 17 to a, which gives a = r + 55.\n3. Substitute r = b + 6 to a, which gives a = b + 61.\n4. Substitute b = o + 14 to a, which gives a = o + 75.\n5. Substitute o = p + 3 to a, which gives a = p + 78.\n6. Substitute p = 19 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 8; w = r + 17; f = j + 6; b = o + 14; k = x + 17; j = p + 15; o = p + 3; d = e + 6; a = i + 19; i = w + 19; x = f + 5; p = 19; r = b + 6. If p = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 6", "p": "f + 8", "n": "p + 5", "r": "n + 2", "c": "r + 11", "l": "c + 9", "h": "k + 19", "a": "h + 6", "q": "a + 10", "x": "q + 15", "t": "x + 20", "e": "t + 15", "k": 1}, "premises": {"k": 1}, "target": "l"}, "answer": {"steps": [["c", "r + 11", "r + 20"], ["r", "n + 2", "n + 22"], ["n", "p + 5", "p + 27"], ["p", "f + 8", "f + 35"], ["f", "k + 6", "k + 41"], ["k", 1, "42"]], "target_var_name": "l", "target_value": 42, "value_dict": {"k": 1}, "is_reverse": true}}
| 957
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 2; k = 1; a = h + 6; p = f + 8; e = t + 15; n = p + 5; t = x + 20; c = r + 11; l = c + 9; x = q + 15; h = k + 19; q = a + 10; f = k + 6. If k = 1, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 11 to l, which gives l = r + 20.\n2. Substitute r = n + 2 to l, which gives l = n + 22.\n3. Substitute n = p + 5 to l, which gives l = p + 27.\n4. Substitute p = f + 8 to l, which gives l = f + 35.\n5. Substitute f = k + 6 to l, which gives l = k + 41.\n6. Substitute k = 1 to l, which gives l = 42.\n\nThus, the final answer is l = \\boxed{42}.",
"index": 957,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 2; k = 1; a = h + 6; p = f + 8; e = t + 15; n = p + 5; t = x + 20; c = r + 11; l = c + 9; x = q + 15; h = k + 19; q = a + 10; f = k + 6. If k = 1, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 5", "g": "c + 14", "n": "g + 5", "j": "n + 14", "p": "j + 4", "e": "p + 3", "v": "h + 20", "x": "v + 4", "d": "x + 20", "w": "d + 3", "z": "w + 17", "q": "z + 11", "h": 15}, "premises": {"h": 15}, "target": "e"}, "answer": {"steps": [["p", "j + 4", "j + 7"], ["j", "n + 14", "n + 21"], ["n", "g + 5", "g + 26"], ["g", "c + 14", "c + 40"], ["c", "h + 5", "h + 45"], ["h", 15, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"h": 15}, "is_reverse": true}}
| 958
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 15; g = c + 14; e = p + 3; j = n + 14; x = v + 4; v = h + 20; w = d + 3; p = j + 4; n = g + 5; c = h + 5; q = z + 11; d = x + 20; z = w + 17. If h = 15, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 4 to e, which gives e = j + 7.\n2. Substitute j = n + 14 to e, which gives e = n + 21.\n3. Substitute n = g + 5 to e, which gives e = g + 26.\n4. Substitute g = c + 14 to e, which gives e = c + 40.\n5. Substitute c = h + 5 to e, which gives e = h + 45.\n6. Substitute h = 15 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 958,
"question": "Consider a system of variables where each variable is defined as follows: h = 15; g = c + 14; e = p + 3; j = n + 14; x = v + 4; v = h + 20; w = d + 3; p = j + 4; n = g + 5; c = h + 5; q = z + 11; d = x + 20; z = w + 17. If h = 15, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 17", "a": "p + 15", "b": "a + 8", "c": "b + 7", "k": "c + 17", "e": "k + 14", "f": "t + 14", "n": "f + 11", "u": "n + 1", "d": "u + 14", "h": "d + 2", "w": "h + 20", "t": 14}, "premises": {"t": 14}, "target": "e"}, "answer": {"steps": [["k", "c + 17", "c + 31"], ["c", "b + 7", "b + 38"], ["b", "a + 8", "a + 46"], ["a", "p + 15", "p + 61"], ["p", "t + 17", "t + 78"], ["t", 14, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"t": 14}, "is_reverse": true}}
| 959
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 15; u = n + 1; b = a + 8; c = b + 7; w = h + 20; d = u + 14; t = 14; n = f + 11; f = t + 14; k = c + 17; e = k + 14; h = d + 2; p = t + 17. Given that t = 14, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 17 to e, which gives e = c + 31.\n2. Substitute c = b + 7 to e, which gives e = b + 38.\n3. Substitute b = a + 8 to e, which gives e = a + 46.\n4. Substitute a = p + 15 to e, which gives e = p + 61.\n5. Substitute p = t + 17 to e, which gives e = t + 78.\n6. Substitute t = 14 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 959,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 15; u = n + 1; b = a + 8; c = b + 7; w = h + 20; d = u + 14; t = 14; n = f + 11; f = t + 14; k = c + 17; e = k + 14; h = d + 2; p = t + 17. Given that t = 14, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 17", "l": "v + 13", "c": "l + 20", "s": "c + 5", "w": "s + 8", "q": "w + 14", "k": "f + 3", "r": "k + 16", "j": "r + 3", "o": "j + 14", "h": "o + 18", "y": "h + 20", "f": 9}, "premises": {"f": 9}, "target": "q"}, "answer": {"steps": [["w", "s + 8", "s + 22"], ["s", "c + 5", "c + 27"], ["c", "l + 20", "l + 47"], ["l", "v + 13", "v + 60"], ["v", "f + 17", "f + 77"], ["f", 9, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"f": 9}, "is_reverse": true}}
| 960
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 20; w = s + 8; l = v + 13; s = c + 5; j = r + 3; o = j + 14; v = f + 17; f = 9; k = f + 3; r = k + 16; h = o + 18; y = h + 20; q = w + 14. Given that f = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 8 to q, which gives q = s + 22.\n2. Substitute s = c + 5 to q, which gives q = c + 27.\n3. Substitute c = l + 20 to q, which gives q = l + 47.\n4. Substitute l = v + 13 to q, which gives q = v + 60.\n5. Substitute v = f + 17 to q, which gives q = f + 77.\n6. Substitute f = 9 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 960,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 20; w = s + 8; l = v + 13; s = c + 5; j = r + 3; o = j + 14; v = f + 17; f = 9; k = f + 3; r = k + 16; h = o + 18; y = h + 20; q = w + 14. Given that f = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 2", "s": "u + 6", "b": "s + 1", "y": "b + 6", "k": "y + 16", "r": "k + 10", "o": "x + 3", "g": "o + 10", "a": "g + 17", "c": "a + 1", "i": "c + 9", "m": "i + 19", "x": 1}, "premises": {"x": 1}, "target": "r"}, "answer": {"steps": [["k", "y + 16", "y + 26"], ["y", "b + 6", "b + 32"], ["b", "s + 1", "s + 33"], ["s", "u + 6", "u + 39"], ["u", "x + 2", "x + 41"], ["x", 1, "42"]], "target_var_name": "r", "target_value": 42, "value_dict": {"x": 1}, "is_reverse": true}}
| 961
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 6; x = 1; m = i + 19; g = o + 10; k = y + 16; c = a + 1; a = g + 17; y = b + 6; b = s + 1; u = x + 2; i = c + 9; r = k + 10; o = x + 3. If x = 1, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 16 to r, which gives r = y + 26.\n2. Substitute y = b + 6 to r, which gives r = b + 32.\n3. Substitute b = s + 1 to r, which gives r = s + 33.\n4. Substitute s = u + 6 to r, which gives r = u + 39.\n5. Substitute u = x + 2 to r, which gives r = x + 41.\n6. Substitute x = 1 to r, which gives r = 42.\n\nThus, the final answer is r = \\boxed{42}.",
"index": 961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 6; x = 1; m = i + 19; g = o + 10; k = y + 16; c = a + 1; a = g + 17; y = b + 6; b = s + 1; u = x + 2; i = c + 9; r = k + 10; o = x + 3. If x = 1, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 4", "a": "z + 4", "n": "a + 18", "p": "n + 5", "j": "p + 19", "t": "j + 11", "l": "d + 19", "m": "l + 20", "f": "m + 1", "v": "f + 11", "w": "v + 14", "u": "w + 14", "d": 12}, "premises": {"d": 12}, "target": "t"}, "answer": {"steps": [["j", "p + 19", "p + 30"], ["p", "n + 5", "n + 35"], ["n", "a + 18", "a + 53"], ["a", "z + 4", "z + 57"], ["z", "d + 4", "d + 61"], ["d", 12, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"d": 12}, "is_reverse": true}}
| 962
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 11; f = m + 1; u = w + 14; a = z + 4; w = v + 14; n = a + 18; j = p + 19; p = n + 5; z = d + 4; d = 12; v = f + 11; l = d + 19; m = l + 20. If d = 12, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 19 to t, which gives t = p + 30.\n2. Substitute p = n + 5 to t, which gives t = n + 35.\n3. Substitute n = a + 18 to t, which gives t = a + 53.\n4. Substitute a = z + 4 to t, which gives t = z + 57.\n5. Substitute z = d + 4 to t, which gives t = d + 61.\n6. Substitute d = 12 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 962,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 11; f = m + 1; u = w + 14; a = z + 4; w = v + 14; n = a + 18; j = p + 19; p = n + 5; z = d + 4; d = 12; v = f + 11; l = d + 19; m = l + 20. If d = 12, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 2", "d": "u + 1", "b": "d + 12", "s": "b + 6", "m": "s + 8", "p": "m + 9", "o": "a + 9", "n": "o + 12", "l": "n + 19", "f": "l + 15", "e": "f + 11", "y": "e + 13", "a": 16}, "premises": {"a": 16}, "target": "p"}, "answer": {"steps": [["m", "s + 8", "s + 17"], ["s", "b + 6", "b + 23"], ["b", "d + 12", "d + 35"], ["d", "u + 1", "u + 36"], ["u", "a + 2", "a + 38"], ["a", 16, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"a": 16}, "is_reverse": true}}
| 963
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 8; o = a + 9; f = l + 15; u = a + 2; p = m + 9; a = 16; e = f + 11; s = b + 6; d = u + 1; y = e + 13; b = d + 12; l = n + 19; n = o + 12. If a = 16, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 8 to p, which gives p = s + 17.\n2. Substitute s = b + 6 to p, which gives p = b + 23.\n3. Substitute b = d + 12 to p, which gives p = d + 35.\n4. Substitute d = u + 1 to p, which gives p = u + 36.\n5. Substitute u = a + 2 to p, which gives p = a + 38.\n6. Substitute a = 16 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 963,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 8; o = a + 9; f = l + 15; u = a + 2; p = m + 9; a = 16; e = f + 11; s = b + 6; d = u + 1; y = e + 13; b = d + 12; l = n + 19; n = o + 12. If a = 16, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 9", "f": "m + 3", "o": "f + 6", "a": "o + 1", "v": "a + 15", "h": "v + 8", "p": "d + 15", "y": "p + 8", "b": "y + 16", "k": "b + 11", "c": "k + 14", "j": "c + 7", "d": 13}, "premises": {"d": 13}, "target": "h"}, "answer": {"steps": [["v", "a + 15", "a + 23"], ["a", "o + 1", "o + 24"], ["o", "f + 6", "f + 30"], ["f", "m + 3", "m + 33"], ["m", "d + 9", "d + 42"], ["d", 13, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"d": 13}, "is_reverse": true}}
| 964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 1; h = v + 8; f = m + 3; o = f + 6; m = d + 9; b = y + 16; d = 13; v = a + 15; c = k + 14; j = c + 7; y = p + 8; p = d + 15; k = b + 11. Given that d = 13, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 15 to h, which gives h = a + 23.\n2. Substitute a = o + 1 to h, which gives h = o + 24.\n3. Substitute o = f + 6 to h, which gives h = f + 30.\n4. Substitute f = m + 3 to h, which gives h = m + 33.\n5. Substitute m = d + 9 to h, which gives h = d + 42.\n6. Substitute d = 13 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 964,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 1; h = v + 8; f = m + 3; o = f + 6; m = d + 9; b = y + 16; d = 13; v = a + 15; c = k + 14; j = c + 7; y = p + 8; p = d + 15; k = b + 11. Given that d = 13, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 13", "p": "e + 11", "y": "p + 16", "z": "y + 3", "h": "z + 14", "r": "h + 14", "s": "m + 17", "k": "s + 7", "i": "k + 3", "u": "i + 9", "d": "u + 14", "b": "d + 12", "m": 5}, "premises": {"m": 5}, "target": "r"}, "answer": {"steps": [["h", "z + 14", "z + 28"], ["z", "y + 3", "y + 31"], ["y", "p + 16", "p + 47"], ["p", "e + 11", "e + 58"], ["e", "m + 13", "m + 71"], ["m", 5, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"m": 5}, "is_reverse": true}}
| 965
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 14; d = u + 14; z = y + 3; b = d + 12; m = 5; u = i + 9; s = m + 17; i = k + 3; e = m + 13; y = p + 16; r = h + 14; p = e + 11; k = s + 7. If m = 5, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 14 to r, which gives r = z + 28.\n2. Substitute z = y + 3 to r, which gives r = y + 31.\n3. Substitute y = p + 16 to r, which gives r = p + 47.\n4. Substitute p = e + 11 to r, which gives r = e + 58.\n5. Substitute e = m + 13 to r, which gives r = m + 71.\n6. Substitute m = 5 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 14; d = u + 14; z = y + 3; b = d + 12; m = 5; u = i + 9; s = m + 17; i = k + 3; e = m + 13; y = p + 16; r = h + 14; p = e + 11; k = s + 7. If m = 5, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 11", "u": "i + 14", "v": "u + 10", "f": "v + 7", "p": "f + 9", "y": "p + 9", "d": "r + 12", "j": "d + 15", "c": "j + 17", "x": "c + 15", "s": "x + 7", "t": "s + 14", "r": 14}, "premises": {"r": 14}, "target": "y"}, "answer": {"steps": [["p", "f + 9", "f + 18"], ["f", "v + 7", "v + 25"], ["v", "u + 10", "u + 35"], ["u", "i + 14", "i + 49"], ["i", "r + 11", "r + 60"], ["r", 14, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"r": 14}, "is_reverse": true}}
| 966
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 10; t = s + 14; i = r + 11; u = i + 14; f = v + 7; x = c + 15; r = 14; y = p + 9; p = f + 9; j = d + 15; c = j + 17; d = r + 12; s = x + 7. If r = 14, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 9 to y, which gives y = f + 18.\n2. Substitute f = v + 7 to y, which gives y = v + 25.\n3. Substitute v = u + 10 to y, which gives y = u + 35.\n4. Substitute u = i + 14 to y, which gives y = i + 49.\n5. Substitute i = r + 11 to y, which gives y = r + 60.\n6. Substitute r = 14 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 10; t = s + 14; i = r + 11; u = i + 14; f = v + 7; x = c + 15; r = 14; y = p + 9; p = f + 9; j = d + 15; c = j + 17; d = r + 12; s = x + 7. If r = 14, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 17", "s": "y + 15", "i": "s + 17", "f": "i + 11", "h": "f + 1", "p": "h + 15", "q": "l + 12", "z": "q + 6", "t": "z + 15", "o": "t + 19", "v": "o + 7", "r": "v + 2", "l": 11}, "premises": {"l": 11}, "target": "p"}, "answer": {"steps": [["h", "f + 1", "f + 16"], ["f", "i + 11", "i + 27"], ["i", "s + 17", "s + 44"], ["s", "y + 15", "y + 59"], ["y", "l + 17", "l + 76"], ["l", 11, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"l": 11}, "is_reverse": true}}
| 967
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 11; o = t + 19; p = h + 15; s = y + 15; q = l + 12; y = l + 17; h = f + 1; t = z + 15; z = q + 6; i = s + 17; v = o + 7; f = i + 11; r = v + 2. If l = 11, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 1 to p, which gives p = f + 16.\n2. Substitute f = i + 11 to p, which gives p = i + 27.\n3. Substitute i = s + 17 to p, which gives p = s + 44.\n4. Substitute s = y + 15 to p, which gives p = y + 59.\n5. Substitute y = l + 17 to p, which gives p = l + 76.\n6. Substitute l = 11 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 967,
"question": "Consider a system of variables where each variable is defined as follows: l = 11; o = t + 19; p = h + 15; s = y + 15; q = l + 12; y = l + 17; h = f + 1; t = z + 15; z = q + 6; i = s + 17; v = o + 7; f = i + 11; r = v + 2. If l = 11, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 2", "l": "j + 14", "d": "l + 4", "o": "d + 9", "q": "o + 8", "p": "q + 17", "u": "a + 17", "y": "u + 4", "h": "y + 9", "r": "h + 7", "t": "r + 10", "e": "t + 19", "a": 5}, "premises": {"a": 5}, "target": "p"}, "answer": {"steps": [["q", "o + 8", "o + 25"], ["o", "d + 9", "d + 34"], ["d", "l + 4", "l + 38"], ["l", "j + 14", "j + 52"], ["j", "a + 2", "a + 54"], ["a", 5, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"a": 5}, "is_reverse": true}}
| 968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 4; t = r + 10; p = q + 17; l = j + 14; e = t + 19; h = y + 9; j = a + 2; y = u + 4; q = o + 8; u = a + 17; r = h + 7; a = 5; o = d + 9. If a = 5, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 8 to p, which gives p = o + 25.\n2. Substitute o = d + 9 to p, which gives p = d + 34.\n3. Substitute d = l + 4 to p, which gives p = l + 38.\n4. Substitute l = j + 14 to p, which gives p = j + 52.\n5. Substitute j = a + 2 to p, which gives p = a + 54.\n6. Substitute a = 5 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 4; t = r + 10; p = q + 17; l = j + 14; e = t + 19; h = y + 9; j = a + 2; y = u + 4; q = o + 8; u = a + 17; r = h + 7; a = 5; o = d + 9. If a = 5, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"f": "i + 8", "u": "f + 17", "v": "u + 6", "w": "v + 18", "k": "w + 8", "p": "k + 20", "a": "i + 6", "h": "a + 7", "z": "h + 10", "t": "z + 20", "c": "t + 12", "j": "c + 10", "i": 3}, "premises": {"i": 3}, "target": "p"}, "answer": {"steps": [["k", "w + 8", "w + 28"], ["w", "v + 18", "v + 46"], ["v", "u + 6", "u + 52"], ["u", "f + 17", "f + 69"], ["f", "i + 8", "i + 77"], ["i", 3, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"i": 3}, "is_reverse": true}}
| 969
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 12; k = w + 8; p = k + 20; t = z + 20; v = u + 6; u = f + 17; i = 3; h = a + 7; a = i + 6; j = c + 10; z = h + 10; w = v + 18; f = i + 8. If i = 3, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 8 to p, which gives p = w + 28.\n2. Substitute w = v + 18 to p, which gives p = v + 46.\n3. Substitute v = u + 6 to p, which gives p = u + 52.\n4. Substitute u = f + 17 to p, which gives p = f + 69.\n5. Substitute f = i + 8 to p, which gives p = i + 77.\n6. Substitute i = 3 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 12; k = w + 8; p = k + 20; t = z + 20; v = u + 6; u = f + 17; i = 3; h = a + 7; a = i + 6; j = c + 10; z = h + 10; w = v + 18; f = i + 8. If i = 3, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 5", "d": "u + 12", "p": "d + 13", "o": "p + 19", "a": "o + 5", "l": "a + 5", "n": "v + 14", "e": "n + 12", "y": "e + 4", "m": "y + 9", "x": "m + 18", "b": "x + 2", "v": 17}, "premises": {"v": 17}, "target": "l"}, "answer": {"steps": [["a", "o + 5", "o + 10"], ["o", "p + 19", "p + 29"], ["p", "d + 13", "d + 42"], ["d", "u + 12", "u + 54"], ["u", "v + 5", "v + 59"], ["v", 17, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"v": 17}, "is_reverse": true}}
| 970
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 17; p = d + 13; x = m + 18; o = p + 19; a = o + 5; l = a + 5; n = v + 14; d = u + 12; m = y + 9; e = n + 12; u = v + 5; y = e + 4; b = x + 2. If v = 17, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 5 to l, which gives l = o + 10.\n2. Substitute o = p + 19 to l, which gives l = p + 29.\n3. Substitute p = d + 13 to l, which gives l = d + 42.\n4. Substitute d = u + 12 to l, which gives l = u + 54.\n5. Substitute u = v + 5 to l, which gives l = v + 59.\n6. Substitute v = 17 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 970,
"question": "Consider a system of variables where each variable is defined as follows: v = 17; p = d + 13; x = m + 18; o = p + 19; a = o + 5; l = a + 5; n = v + 14; d = u + 12; m = y + 9; e = n + 12; u = v + 5; y = e + 4; b = x + 2. If v = 17, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 10", "q": "f + 19", "s": "q + 2", "e": "s + 2", "v": "e + 9", "y": "v + 1", "i": "n + 12", "a": "i + 14", "h": "a + 19", "w": "h + 13", "r": "w + 7", "m": "r + 2", "n": 1}, "premises": {"n": 1}, "target": "y"}, "answer": {"steps": [["v", "e + 9", "e + 10"], ["e", "s + 2", "s + 12"], ["s", "q + 2", "q + 14"], ["q", "f + 19", "f + 33"], ["f", "n + 10", "n + 43"], ["n", 1, "44"]], "target_var_name": "y", "target_value": 44, "value_dict": {"n": 1}, "is_reverse": true}}
| 971
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = 1; i = n + 12; m = r + 2; a = i + 14; w = h + 13; v = e + 9; f = n + 10; q = f + 19; r = w + 7; s = q + 2; e = s + 2; h = a + 19; y = v + 1. Given that n = 1, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 9 to y, which gives y = e + 10.\n2. Substitute e = s + 2 to y, which gives y = s + 12.\n3. Substitute s = q + 2 to y, which gives y = q + 14.\n4. Substitute q = f + 19 to y, which gives y = f + 33.\n5. Substitute f = n + 10 to y, which gives y = n + 43.\n6. Substitute n = 1 to y, which gives y = 44.\n\nThus, the final answer is y = \\boxed{44}.",
"index": 971,
"question": "Suppose a collection of variables is related by the following definitions: n = 1; i = n + 12; m = r + 2; a = i + 14; w = h + 13; v = e + 9; f = n + 10; q = f + 19; r = w + 7; s = q + 2; e = s + 2; h = a + 19; y = v + 1. Given that n = 1, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 6", "a": "c + 10", "x": "a + 8", "b": "x + 4", "n": "b + 14", "g": "n + 13", "m": "w + 17", "h": "m + 12", "k": "h + 13", "q": "k + 4", "y": "q + 4", "r": "y + 17", "w": 17}, "premises": {"w": 17}, "target": "g"}, "answer": {"steps": [["n", "b + 14", "b + 27"], ["b", "x + 4", "x + 31"], ["x", "a + 8", "a + 39"], ["a", "c + 10", "c + 49"], ["c", "w + 6", "w + 55"], ["w", 17, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"w": 17}, "is_reverse": true}}
| 972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 17; x = a + 8; q = k + 4; m = w + 17; g = n + 13; w = 17; n = b + 14; a = c + 10; b = x + 4; k = h + 13; c = w + 6; h = m + 12; y = q + 4. If w = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 14 to g, which gives g = b + 27.\n2. Substitute b = x + 4 to g, which gives g = x + 31.\n3. Substitute x = a + 8 to g, which gives g = a + 39.\n4. Substitute a = c + 10 to g, which gives g = c + 49.\n5. Substitute c = w + 6 to g, which gives g = w + 55.\n6. Substitute w = 17 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 972,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 17; x = a + 8; q = k + 4; m = w + 17; g = n + 13; w = 17; n = b + 14; a = c + 10; b = x + 4; k = h + 13; c = w + 6; h = m + 12; y = q + 4. If w = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "k + 4", "p": "z + 10", "y": "p + 1", "l": "y + 2", "t": "l + 20", "v": "t + 14", "e": "k + 3", "d": "e + 10", "n": "d + 20", "b": "n + 8", "g": "b + 1", "a": "g + 10", "k": 4}, "premises": {"k": 4}, "target": "v"}, "answer": {"steps": [["t", "l + 20", "l + 34"], ["l", "y + 2", "y + 36"], ["y", "p + 1", "p + 37"], ["p", "z + 10", "z + 47"], ["z", "k + 4", "k + 51"], ["k", 4, "55"]], "target_var_name": "v", "target_value": 55, "value_dict": {"k": 4}, "is_reverse": true}}
| 973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 4; v = t + 14; b = n + 8; t = l + 20; d = e + 10; a = g + 10; z = k + 4; e = k + 3; y = p + 1; l = y + 2; n = d + 20; p = z + 10; g = b + 1. Given that k = 4, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 20 to v, which gives v = l + 34.\n2. Substitute l = y + 2 to v, which gives v = y + 36.\n3. Substitute y = p + 1 to v, which gives v = p + 37.\n4. Substitute p = z + 10 to v, which gives v = z + 47.\n5. Substitute z = k + 4 to v, which gives v = k + 51.\n6. Substitute k = 4 to v, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 973,
"question": "Suppose a collection of variables is related by the following definitions: k = 4; v = t + 14; b = n + 8; t = l + 20; d = e + 10; a = g + 10; z = k + 4; e = k + 3; y = p + 1; l = y + 2; n = d + 20; p = z + 10; g = b + 1. Given that k = 4, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 20", "c": "v + 15", "t": "c + 11", "y": "t + 13", "p": "y + 17", "g": "p + 2", "n": "d + 10", "s": "n + 2", "e": "s + 12", "f": "e + 12", "x": "f + 5", "z": "x + 5", "d": 4}, "premises": {"d": 4}, "target": "g"}, "answer": {"steps": [["p", "y + 17", "y + 19"], ["y", "t + 13", "t + 32"], ["t", "c + 11", "c + 43"], ["c", "v + 15", "v + 58"], ["v", "d + 20", "d + 78"], ["d", 4, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"d": 4}, "is_reverse": true}}
| 974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = d + 20; s = n + 2; n = d + 10; c = v + 15; p = y + 17; z = x + 5; x = f + 5; f = e + 12; d = 4; t = c + 11; y = t + 13; e = s + 12; g = p + 2. If d = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 17 to g, which gives g = y + 19.\n2. Substitute y = t + 13 to g, which gives g = t + 32.\n3. Substitute t = c + 11 to g, which gives g = c + 43.\n4. Substitute c = v + 15 to g, which gives g = v + 58.\n5. Substitute v = d + 20 to g, which gives g = d + 78.\n6. Substitute d = 4 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 974,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 20; s = n + 2; n = d + 10; c = v + 15; p = y + 17; z = x + 5; x = f + 5; f = e + 12; d = 4; t = c + 11; y = t + 13; e = s + 12; g = p + 2. If d = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 13", "o": "j + 18", "h": "o + 12", "t": "h + 20", "m": "t + 9", "g": "m + 17", "x": "b + 20", "d": "x + 4", "l": "d + 8", "a": "l + 20", "q": "a + 17", "u": "q + 16", "b": 15}, "premises": {"b": 15}, "target": "g"}, "answer": {"steps": [["m", "t + 9", "t + 26"], ["t", "h + 20", "h + 46"], ["h", "o + 12", "o + 58"], ["o", "j + 18", "j + 76"], ["j", "b + 13", "b + 89"], ["b", 15, "104"]], "target_var_name": "g", "target_value": 104, "value_dict": {"b": 15}, "is_reverse": true}}
| 975
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 17; g = m + 17; o = j + 18; j = b + 13; u = q + 16; l = d + 8; d = x + 4; t = h + 20; h = o + 12; a = l + 20; m = t + 9; b = 15; x = b + 20. If b = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 9 to g, which gives g = t + 26.\n2. Substitute t = h + 20 to g, which gives g = h + 46.\n3. Substitute h = o + 12 to g, which gives g = o + 58.\n4. Substitute o = j + 18 to g, which gives g = j + 76.\n5. Substitute j = b + 13 to g, which gives g = b + 89.\n6. Substitute b = 15 to g, which gives g = 104.\n\nThus, the final answer is g = \\boxed{104}.",
"index": 975,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 17; g = m + 17; o = j + 18; j = b + 13; u = q + 16; l = d + 8; d = x + 4; t = h + 20; h = o + 12; a = l + 20; m = t + 9; b = 15; x = b + 20. If b = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 15", "s": "t + 17", "y": "s + 1", "q": "y + 13", "k": "q + 3", "e": "k + 10", "x": "n + 5", "c": "x + 8", "w": "c + 7", "f": "w + 2", "i": "f + 3", "d": "i + 5", "n": 18}, "premises": {"n": 18}, "target": "e"}, "answer": {"steps": [["k", "q + 3", "q + 13"], ["q", "y + 13", "y + 26"], ["y", "s + 1", "s + 27"], ["s", "t + 17", "t + 44"], ["t", "n + 15", "n + 59"], ["n", 18, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"n": 18}, "is_reverse": true}}
| 976
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 2; e = k + 10; n = 18; c = x + 8; x = n + 5; t = n + 15; k = q + 3; i = f + 3; w = c + 7; q = y + 13; y = s + 1; d = i + 5; s = t + 17. If n = 18, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 3 to e, which gives e = q + 13.\n2. Substitute q = y + 13 to e, which gives e = y + 26.\n3. Substitute y = s + 1 to e, which gives e = s + 27.\n4. Substitute s = t + 17 to e, which gives e = t + 44.\n5. Substitute t = n + 15 to e, which gives e = n + 59.\n6. Substitute n = 18 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 2; e = k + 10; n = 18; c = x + 8; x = n + 5; t = n + 15; k = q + 3; i = f + 3; w = c + 7; q = y + 13; y = s + 1; d = i + 5; s = t + 17. If n = 18, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 14", "i": "v + 3", "z": "i + 12", "m": "z + 5", "f": "m + 11", "e": "f + 13", "r": "y + 7", "l": "r + 9", "p": "l + 20", "u": "p + 8", "c": "u + 6", "g": "c + 17", "y": 17}, "premises": {"y": 17}, "target": "e"}, "answer": {"steps": [["f", "m + 11", "m + 24"], ["m", "z + 5", "z + 29"], ["z", "i + 12", "i + 41"], ["i", "v + 3", "v + 44"], ["v", "y + 14", "y + 58"], ["y", 17, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"y": 17}, "is_reverse": true}}
| 977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 8; g = c + 17; y = 17; p = l + 20; r = y + 7; l = r + 9; v = y + 14; f = m + 11; i = v + 3; m = z + 5; c = u + 6; z = i + 12; e = f + 13. Given that y = 17, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 11 to e, which gives e = m + 24.\n2. Substitute m = z + 5 to e, which gives e = z + 29.\n3. Substitute z = i + 12 to e, which gives e = i + 41.\n4. Substitute i = v + 3 to e, which gives e = v + 44.\n5. Substitute v = y + 14 to e, which gives e = y + 58.\n6. Substitute y = 17 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 977,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 8; g = c + 17; y = 17; p = l + 20; r = y + 7; l = r + 9; v = y + 14; f = m + 11; i = v + 3; m = z + 5; c = u + 6; z = i + 12; e = f + 13. Given that y = 17, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 7", "i": "w + 16", "h": "i + 6", "f": "h + 19", "v": "f + 4", "u": "v + 9", "m": "b + 7", "d": "m + 1", "s": "d + 15", "n": "s + 17", "l": "n + 20", "c": "l + 7", "b": 4}, "premises": {"b": 4}, "target": "u"}, "answer": {"steps": [["v", "f + 4", "f + 13"], ["f", "h + 19", "h + 32"], ["h", "i + 6", "i + 38"], ["i", "w + 16", "w + 54"], ["w", "b + 7", "b + 61"], ["b", 4, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"b": 4}, "is_reverse": true}}
| 978
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 4; f = h + 19; h = i + 6; i = w + 16; u = v + 9; v = f + 4; n = s + 17; m = b + 7; w = b + 7; d = m + 1; c = l + 7; s = d + 15; l = n + 20. If b = 4, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 4 to u, which gives u = f + 13.\n2. Substitute f = h + 19 to u, which gives u = h + 32.\n3. Substitute h = i + 6 to u, which gives u = i + 38.\n4. Substitute i = w + 16 to u, which gives u = w + 54.\n5. Substitute w = b + 7 to u, which gives u = b + 61.\n6. Substitute b = 4 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 978,
"question": "Consider a system of variables where each variable is defined as follows: b = 4; f = h + 19; h = i + 6; i = w + 16; u = v + 9; v = f + 4; n = s + 17; m = b + 7; w = b + 7; d = m + 1; c = l + 7; s = d + 15; l = n + 20. If b = 4, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 1", "h": "s + 16", "q": "h + 14", "e": "q + 16", "p": "e + 11", "k": "p + 13", "x": "n + 11", "b": "x + 19", "i": "b + 19", "a": "i + 14", "m": "a + 10", "l": "m + 19", "n": 9}, "premises": {"n": 9}, "target": "k"}, "answer": {"steps": [["p", "e + 11", "e + 24"], ["e", "q + 16", "q + 40"], ["q", "h + 14", "h + 54"], ["h", "s + 16", "s + 70"], ["s", "n + 1", "n + 71"], ["n", 9, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"n": 9}, "is_reverse": true}}
| 979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 19; s = n + 1; n = 9; l = m + 19; k = p + 13; m = a + 10; h = s + 16; b = x + 19; q = h + 14; e = q + 16; p = e + 11; x = n + 11; a = i + 14. If n = 9, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 11 to k, which gives k = e + 24.\n2. Substitute e = q + 16 to k, which gives k = q + 40.\n3. Substitute q = h + 14 to k, which gives k = h + 54.\n4. Substitute h = s + 16 to k, which gives k = s + 70.\n5. Substitute s = n + 1 to k, which gives k = n + 71.\n6. Substitute n = 9 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 979,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 19; s = n + 1; n = 9; l = m + 19; k = p + 13; m = a + 10; h = s + 16; b = x + 19; q = h + 14; e = q + 16; p = e + 11; x = n + 11; a = i + 14. If n = 9, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 16", "h": "k + 5", "l": "h + 9", "g": "l + 18", "f": "g + 1", "q": "f + 12", "y": "s + 7", "t": "y + 7", "o": "t + 11", "x": "o + 14", "i": "x + 8", "u": "i + 18", "s": 13}, "premises": {"s": 13}, "target": "q"}, "answer": {"steps": [["f", "g + 1", "g + 13"], ["g", "l + 18", "l + 31"], ["l", "h + 9", "h + 40"], ["h", "k + 5", "k + 45"], ["k", "s + 16", "s + 61"], ["s", 13, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"s": 13}, "is_reverse": true}}
| 980
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 16; y = s + 7; u = i + 18; h = k + 5; l = h + 9; f = g + 1; g = l + 18; o = t + 11; q = f + 12; s = 13; i = x + 8; t = y + 7; x = o + 14. If s = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 1 to q, which gives q = g + 13.\n2. Substitute g = l + 18 to q, which gives q = l + 31.\n3. Substitute l = h + 9 to q, which gives q = h + 40.\n4. Substitute h = k + 5 to q, which gives q = k + 45.\n5. Substitute k = s + 16 to q, which gives q = s + 61.\n6. Substitute s = 13 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 980,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 16; y = s + 7; u = i + 18; h = k + 5; l = h + 9; f = g + 1; g = l + 18; o = t + 11; q = f + 12; s = 13; i = x + 8; t = y + 7; x = o + 14. If s = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 6", "m": "x + 14", "o": "m + 11", "n": "o + 11", "c": "n + 14", "t": "c + 5", "v": "r + 6", "j": "v + 12", "z": "j + 7", "g": "z + 11", "s": "g + 4", "u": "s + 7", "r": 5}, "premises": {"r": 5}, "target": "t"}, "answer": {"steps": [["c", "n + 14", "n + 19"], ["n", "o + 11", "o + 30"], ["o", "m + 11", "m + 41"], ["m", "x + 14", "x + 55"], ["x", "r + 6", "r + 61"], ["r", 5, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"r": 5}, "is_reverse": true}}
| 981
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 5; o = m + 11; g = z + 11; s = g + 4; n = o + 11; u = s + 7; r = 5; m = x + 14; c = n + 14; x = r + 6; z = j + 7; v = r + 6; j = v + 12. If r = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 14 to t, which gives t = n + 19.\n2. Substitute n = o + 11 to t, which gives t = o + 30.\n3. Substitute o = m + 11 to t, which gives t = m + 41.\n4. Substitute m = x + 14 to t, which gives t = x + 55.\n5. Substitute x = r + 6 to t, which gives t = r + 61.\n6. Substitute r = 5 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 981,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 5; o = m + 11; g = z + 11; s = g + 4; n = o + 11; u = s + 7; r = 5; m = x + 14; c = n + 14; x = r + 6; z = j + 7; v = r + 6; j = v + 12. If r = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 15", "i": "o + 14", "y": "i + 14", "g": "y + 5", "x": "g + 12", "s": "x + 4", "q": "r + 4", "n": "q + 3", "z": "n + 5", "b": "z + 8", "e": "b + 8", "v": "e + 16", "r": 18}, "premises": {"r": 18}, "target": "s"}, "answer": {"steps": [["x", "g + 12", "g + 16"], ["g", "y + 5", "y + 21"], ["y", "i + 14", "i + 35"], ["i", "o + 14", "o + 49"], ["o", "r + 15", "r + 64"], ["r", 18, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"r": 18}, "is_reverse": true}}
| 982
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 8; z = n + 5; g = y + 5; b = z + 8; q = r + 4; y = i + 14; v = e + 16; r = 18; i = o + 14; n = q + 3; x = g + 12; s = x + 4; o = r + 15. If r = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 12 to s, which gives s = g + 16.\n2. Substitute g = y + 5 to s, which gives s = y + 21.\n3. Substitute y = i + 14 to s, which gives s = i + 35.\n4. Substitute i = o + 14 to s, which gives s = o + 49.\n5. Substitute o = r + 15 to s, which gives s = r + 64.\n6. Substitute r = 18 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 982,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 8; z = n + 5; g = y + 5; b = z + 8; q = r + 4; y = i + 14; v = e + 16; r = 18; i = o + 14; n = q + 3; x = g + 12; s = x + 4; o = r + 15. If r = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 17", "b": "g + 3", "a": "b + 17", "j": "a + 6", "l": "j + 13", "k": "l + 6", "w": "u + 12", "r": "w + 2", "f": "r + 4", "x": "f + 11", "i": "x + 14", "v": "i + 17", "u": 1}, "premises": {"u": 1}, "target": "k"}, "answer": {"steps": [["l", "j + 13", "j + 19"], ["j", "a + 6", "a + 25"], ["a", "b + 17", "b + 42"], ["b", "g + 3", "g + 45"], ["g", "u + 17", "u + 62"], ["u", 1, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"u": 1}, "is_reverse": true}}
| 983
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = l + 6; a = b + 17; r = w + 2; i = x + 14; g = u + 17; v = i + 17; w = u + 12; x = f + 11; j = a + 6; l = j + 13; f = r + 4; u = 1; b = g + 3. If u = 1, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 13 to k, which gives k = j + 19.\n2. Substitute j = a + 6 to k, which gives k = a + 25.\n3. Substitute a = b + 17 to k, which gives k = b + 42.\n4. Substitute b = g + 3 to k, which gives k = g + 45.\n5. Substitute g = u + 17 to k, which gives k = u + 62.\n6. Substitute u = 1 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 983,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 6; a = b + 17; r = w + 2; i = x + 14; g = u + 17; v = i + 17; w = u + 12; x = f + 11; j = a + 6; l = j + 13; f = r + 4; u = 1; b = g + 3. If u = 1, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 7", "w": "n + 11", "r": "w + 10", "c": "r + 15", "u": "c + 15", "i": "u + 15", "k": "x + 9", "v": "k + 20", "m": "v + 14", "j": "m + 6", "f": "j + 5", "s": "f + 5", "x": 12}, "premises": {"x": 12}, "target": "i"}, "answer": {"steps": [["u", "c + 15", "c + 30"], ["c", "r + 15", "r + 45"], ["r", "w + 10", "w + 55"], ["w", "n + 11", "n + 66"], ["n", "x + 7", "x + 73"], ["x", 12, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"x": 12}, "is_reverse": true}}
| 984
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 10; w = n + 11; n = x + 7; j = m + 6; x = 12; s = f + 5; v = k + 20; k = x + 9; u = c + 15; f = j + 5; c = r + 15; m = v + 14; i = u + 15. Given that x = 12, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 15 to i, which gives i = c + 30.\n2. Substitute c = r + 15 to i, which gives i = r + 45.\n3. Substitute r = w + 10 to i, which gives i = w + 55.\n4. Substitute w = n + 11 to i, which gives i = n + 66.\n5. Substitute n = x + 7 to i, which gives i = x + 73.\n6. Substitute x = 12 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 984,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 10; w = n + 11; n = x + 7; j = m + 6; x = 12; s = f + 5; v = k + 20; k = x + 9; u = c + 15; f = j + 5; c = r + 15; m = v + 14; i = u + 15. Given that x = 12, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "l + 3", "c": "j + 9", "w": "c + 15", "a": "w + 20", "g": "a + 2", "m": "g + 6", "r": "l + 7", "e": "r + 16", "u": "e + 7", "b": "u + 5", "f": "b + 18", "k": "f + 16", "l": 12}, "premises": {"l": 12}, "target": "m"}, "answer": {"steps": [["g", "a + 2", "a + 8"], ["a", "w + 20", "w + 28"], ["w", "c + 15", "c + 43"], ["c", "j + 9", "j + 52"], ["j", "l + 3", "l + 55"], ["l", 12, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"l": 12}, "is_reverse": true}}
| 985
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 16; m = g + 6; f = b + 18; u = e + 7; j = l + 3; l = 12; b = u + 5; w = c + 15; g = a + 2; r = l + 7; c = j + 9; e = r + 16; a = w + 20. Given that l = 12, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 2 to m, which gives m = a + 8.\n2. Substitute a = w + 20 to m, which gives m = w + 28.\n3. Substitute w = c + 15 to m, which gives m = c + 43.\n4. Substitute c = j + 9 to m, which gives m = j + 52.\n5. Substitute j = l + 3 to m, which gives m = l + 55.\n6. Substitute l = 12 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 985,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 16; m = g + 6; f = b + 18; u = e + 7; j = l + 3; l = 12; b = u + 5; w = c + 15; g = a + 2; r = l + 7; c = j + 9; e = r + 16; a = w + 20. Given that l = 12, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "g + 13", "h": "n + 19", "r": "h + 7", "u": "r + 17", "m": "u + 12", "q": "m + 15", "k": "g + 4", "i": "k + 13", "e": "i + 18", "j": "e + 7", "b": "j + 18", "a": "b + 7", "g": 19}, "premises": {"g": 19}, "target": "q"}, "answer": {"steps": [["m", "u + 12", "u + 27"], ["u", "r + 17", "r + 44"], ["r", "h + 7", "h + 51"], ["h", "n + 19", "n + 70"], ["n", "g + 13", "g + 83"], ["g", 19, "102"]], "target_var_name": "q", "target_value": 102, "value_dict": {"g": 19}, "is_reverse": true}}
| 986
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 13; b = j + 18; h = n + 19; r = h + 7; n = g + 13; a = b + 7; k = g + 4; m = u + 12; u = r + 17; g = 19; j = e + 7; q = m + 15; e = i + 18. Given that g = 19, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 12 to q, which gives q = u + 27.\n2. Substitute u = r + 17 to q, which gives q = r + 44.\n3. Substitute r = h + 7 to q, which gives q = h + 51.\n4. Substitute h = n + 19 to q, which gives q = n + 70.\n5. Substitute n = g + 13 to q, which gives q = g + 83.\n6. Substitute g = 19 to q, which gives q = 102.\n\nThus, the final answer is q = \\boxed{102}.",
"index": 986,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 13; b = j + 18; h = n + 19; r = h + 7; n = g + 13; a = b + 7; k = g + 4; m = u + 12; u = r + 17; g = 19; j = e + 7; q = m + 15; e = i + 18. Given that g = 19, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"v": "k + 6", "c": "v + 15", "b": "c + 17", "z": "b + 15", "h": "z + 4", "r": "h + 17", "y": "k + 6", "o": "y + 1", "j": "o + 9", "i": "j + 17", "d": "i + 3", "g": "d + 14", "k": 11}, "premises": {"k": 11}, "target": "r"}, "answer": {"steps": [["h", "z + 4", "z + 21"], ["z", "b + 15", "b + 36"], ["b", "c + 17", "c + 53"], ["c", "v + 15", "v + 68"], ["v", "k + 6", "k + 74"], ["k", 11, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"k": 11}, "is_reverse": true}}
| 987
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 17; c = v + 15; j = o + 9; z = b + 15; h = z + 4; b = c + 17; k = 11; y = k + 6; i = j + 17; g = d + 14; o = y + 1; d = i + 3; v = k + 6. If k = 11, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 4 to r, which gives r = z + 21.\n2. Substitute z = b + 15 to r, which gives r = b + 36.\n3. Substitute b = c + 17 to r, which gives r = c + 53.\n4. Substitute c = v + 15 to r, which gives r = v + 68.\n5. Substitute v = k + 6 to r, which gives r = k + 74.\n6. Substitute k = 11 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 987,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 17; c = v + 15; j = o + 9; z = b + 15; h = z + 4; b = c + 17; k = 11; y = k + 6; i = j + 17; g = d + 14; o = y + 1; d = i + 3; v = k + 6. If k = 11, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 3", "i": "e + 12", "c": "i + 4", "m": "c + 6", "f": "m + 1", "w": "f + 16", "o": "t + 1", "p": "o + 4", "k": "p + 10", "g": "k + 4", "h": "g + 2", "r": "h + 9", "t": 17}, "premises": {"t": 17}, "target": "w"}, "answer": {"steps": [["f", "m + 1", "m + 17"], ["m", "c + 6", "c + 23"], ["c", "i + 4", "i + 27"], ["i", "e + 12", "e + 39"], ["e", "t + 3", "t + 42"], ["t", 17, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"t": 17}, "is_reverse": true}}
| 988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 16; i = e + 12; m = c + 6; e = t + 3; t = 17; p = o + 4; c = i + 4; o = t + 1; g = k + 4; k = p + 10; f = m + 1; r = h + 9; h = g + 2. If t = 17, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 1 to w, which gives w = m + 17.\n2. Substitute m = c + 6 to w, which gives w = c + 23.\n3. Substitute c = i + 4 to w, which gives w = i + 27.\n4. Substitute i = e + 12 to w, which gives w = e + 39.\n5. Substitute e = t + 3 to w, which gives w = t + 42.\n6. Substitute t = 17 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 988,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 16; i = e + 12; m = c + 6; e = t + 3; t = 17; p = o + 4; c = i + 4; o = t + 1; g = k + 4; k = p + 10; f = m + 1; r = h + 9; h = g + 2. If t = 17, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 5", "z": "b + 1", "o": "z + 20", "j": "o + 9", "v": "j + 12", "n": "v + 1", "f": "l + 10", "c": "f + 2", "s": "c + 4", "i": "s + 6", "w": "i + 1", "r": "w + 20", "l": 3}, "premises": {"l": 3}, "target": "n"}, "answer": {"steps": [["v", "j + 12", "j + 13"], ["j", "o + 9", "o + 22"], ["o", "z + 20", "z + 42"], ["z", "b + 1", "b + 43"], ["b", "l + 5", "l + 48"], ["l", 3, "51"]], "target_var_name": "n", "target_value": 51, "value_dict": {"l": 3}, "is_reverse": true}}
| 989
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 1; o = z + 20; w = i + 1; j = o + 9; l = 3; b = l + 5; r = w + 20; f = l + 10; s = c + 4; c = f + 2; i = s + 6; n = v + 1; v = j + 12. Given that l = 3, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 12 to n, which gives n = j + 13.\n2. Substitute j = o + 9 to n, which gives n = o + 22.\n3. Substitute o = z + 20 to n, which gives n = z + 42.\n4. Substitute z = b + 1 to n, which gives n = b + 43.\n5. Substitute b = l + 5 to n, which gives n = l + 48.\n6. Substitute l = 3 to n, which gives n = 51.\n\nThus, the final answer is n = \\boxed{51}.",
"index": 989,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 1; o = z + 20; w = i + 1; j = o + 9; l = 3; b = l + 5; r = w + 20; f = l + 10; s = c + 4; c = f + 2; i = s + 6; n = v + 1; v = j + 12. Given that l = 3, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 3", "b": "e + 5", "s": "b + 17", "j": "s + 5", "m": "j + 3", "y": "m + 10", "l": "g + 7", "a": "l + 20", "w": "a + 3", "c": "w + 12", "v": "c + 20", "o": "v + 10", "g": 7}, "premises": {"g": 7}, "target": "y"}, "answer": {"steps": [["m", "j + 3", "j + 13"], ["j", "s + 5", "s + 18"], ["s", "b + 17", "b + 35"], ["b", "e + 5", "e + 40"], ["e", "g + 3", "g + 43"], ["g", 7, "50"]], "target_var_name": "y", "target_value": 50, "value_dict": {"g": 7}, "is_reverse": true}}
| 990
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 20; c = w + 12; a = l + 20; y = m + 10; m = j + 3; o = v + 10; e = g + 3; l = g + 7; s = b + 17; b = e + 5; j = s + 5; w = a + 3; g = 7. Given that g = 7, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 3 to y, which gives y = j + 13.\n2. Substitute j = s + 5 to y, which gives y = s + 18.\n3. Substitute s = b + 17 to y, which gives y = b + 35.\n4. Substitute b = e + 5 to y, which gives y = e + 40.\n5. Substitute e = g + 3 to y, which gives y = g + 43.\n6. Substitute g = 7 to y, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 990,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 20; c = w + 12; a = l + 20; y = m + 10; m = j + 3; o = v + 10; e = g + 3; l = g + 7; s = b + 17; b = e + 5; j = s + 5; w = a + 3; g = 7. Given that g = 7, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 18", "r": "d + 10", "p": "r + 17", "f": "p + 16", "s": "f + 19", "b": "s + 15", "e": "v + 9", "y": "e + 12", "o": "y + 2", "z": "o + 8", "k": "z + 3", "c": "k + 13", "v": 3}, "premises": {"v": 3}, "target": "b"}, "answer": {"steps": [["s", "f + 19", "f + 34"], ["f", "p + 16", "p + 50"], ["p", "r + 17", "r + 67"], ["r", "d + 10", "d + 77"], ["d", "v + 18", "v + 95"], ["v", 3, "98"]], "target_var_name": "b", "target_value": 98, "value_dict": {"v": 3}, "is_reverse": true}}
| 991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 16; b = s + 15; o = y + 2; p = r + 17; v = 3; y = e + 12; s = f + 19; c = k + 13; k = z + 3; e = v + 9; r = d + 10; z = o + 8; d = v + 18. If v = 3, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 19 to b, which gives b = f + 34.\n2. Substitute f = p + 16 to b, which gives b = p + 50.\n3. Substitute p = r + 17 to b, which gives b = r + 67.\n4. Substitute r = d + 10 to b, which gives b = d + 77.\n5. Substitute d = v + 18 to b, which gives b = v + 95.\n6. Substitute v = 3 to b, which gives b = 98.\n\nThus, the final answer is b = \\boxed{98}.",
"index": 991,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 16; b = s + 15; o = y + 2; p = r + 17; v = 3; y = e + 12; s = f + 19; c = k + 13; k = z + 3; e = v + 9; r = d + 10; z = o + 8; d = v + 18. If v = 3, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 17", "b": "n + 19", "f": "b + 9", "s": "f + 19", "l": "s + 14", "e": "l + 15", "a": "d + 20", "j": "a + 20", "k": "j + 9", "g": "k + 2", "o": "g + 2", "w": "o + 17", "d": 3}, "premises": {"d": 3}, "target": "e"}, "answer": {"steps": [["l", "s + 14", "s + 29"], ["s", "f + 19", "f + 48"], ["f", "b + 9", "b + 57"], ["b", "n + 19", "n + 76"], ["n", "d + 17", "d + 93"], ["d", 3, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"d": 3}, "is_reverse": true}}
| 992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 9; o = g + 2; a = d + 20; l = s + 14; s = f + 19; n = d + 17; e = l + 15; w = o + 17; j = a + 20; b = n + 19; d = 3; g = k + 2; k = j + 9. If d = 3, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 14 to e, which gives e = s + 29.\n2. Substitute s = f + 19 to e, which gives e = f + 48.\n3. Substitute f = b + 9 to e, which gives e = b + 57.\n4. Substitute b = n + 19 to e, which gives e = n + 76.\n5. Substitute n = d + 17 to e, which gives e = d + 93.\n6. Substitute d = 3 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 9; o = g + 2; a = d + 20; l = s + 14; s = f + 19; n = d + 17; e = l + 15; w = o + 17; j = a + 20; b = n + 19; d = 3; g = k + 2; k = j + 9. If d = 3, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 6", "z": "h + 10", "f": "z + 13", "r": "f + 12", "l": "r + 16", "g": "l + 4", "s": "v + 11", "e": "s + 1", "d": "e + 16", "k": "d + 1", "t": "k + 12", "b": "t + 2", "v": 6}, "premises": {"v": 6}, "target": "g"}, "answer": {"steps": [["l", "r + 16", "r + 20"], ["r", "f + 12", "f + 32"], ["f", "z + 13", "z + 45"], ["z", "h + 10", "h + 55"], ["h", "v + 6", "v + 61"], ["v", 6, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"v": 6}, "is_reverse": true}}
| 993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 6; d = e + 16; f = z + 13; k = d + 1; l = r + 16; r = f + 12; b = t + 2; g = l + 4; z = h + 10; s = v + 11; e = s + 1; t = k + 12; v = 6. If v = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 16 to g, which gives g = r + 20.\n2. Substitute r = f + 12 to g, which gives g = f + 32.\n3. Substitute f = z + 13 to g, which gives g = z + 45.\n4. Substitute z = h + 10 to g, which gives g = h + 55.\n5. Substitute h = v + 6 to g, which gives g = v + 61.\n6. Substitute v = 6 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 993,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 6; d = e + 16; f = z + 13; k = d + 1; l = r + 16; r = f + 12; b = t + 2; g = l + 4; z = h + 10; s = v + 11; e = s + 1; t = k + 12; v = 6. If v = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 5", "x": "p + 17", "g": "x + 10", "t": "g + 16", "u": "t + 3", "m": "u + 11", "z": "l + 12", "q": "z + 19", "v": "q + 3", "j": "v + 1", "s": "j + 12", "y": "s + 14", "l": 6}, "premises": {"l": 6}, "target": "m"}, "answer": {"steps": [["u", "t + 3", "t + 14"], ["t", "g + 16", "g + 30"], ["g", "x + 10", "x + 40"], ["x", "p + 17", "p + 57"], ["p", "l + 5", "l + 62"], ["l", 6, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"l": 6}, "is_reverse": true}}
| 994
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 1; u = t + 3; g = x + 10; t = g + 16; p = l + 5; v = q + 3; s = j + 12; q = z + 19; z = l + 12; y = s + 14; x = p + 17; m = u + 11; l = 6. Given that l = 6, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 3 to m, which gives m = t + 14.\n2. Substitute t = g + 16 to m, which gives m = g + 30.\n3. Substitute g = x + 10 to m, which gives m = x + 40.\n4. Substitute x = p + 17 to m, which gives m = p + 57.\n5. Substitute p = l + 5 to m, which gives m = l + 62.\n6. Substitute l = 6 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 994,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 1; u = t + 3; g = x + 10; t = g + 16; p = l + 5; v = q + 3; s = j + 12; q = z + 19; z = l + 12; y = s + 14; x = p + 17; m = u + 11; l = 6. Given that l = 6, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 6", "b": "f + 17", "u": "b + 2", "s": "u + 16", "a": "s + 19", "x": "a + 12", "r": "d + 2", "y": "r + 13", "h": "y + 14", "w": "h + 11", "t": "w + 1", "e": "t + 8", "d": 2}, "premises": {"d": 2}, "target": "x"}, "answer": {"steps": [["a", "s + 19", "s + 31"], ["s", "u + 16", "u + 47"], ["u", "b + 2", "b + 49"], ["b", "f + 17", "f + 66"], ["f", "d + 6", "d + 72"], ["d", 2, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"d": 2}, "is_reverse": true}}
| 995
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 13; a = s + 19; b = f + 17; f = d + 6; w = h + 11; e = t + 8; s = u + 16; h = y + 14; x = a + 12; d = 2; u = b + 2; t = w + 1; r = d + 2. If d = 2, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 19 to x, which gives x = s + 31.\n2. Substitute s = u + 16 to x, which gives x = u + 47.\n3. Substitute u = b + 2 to x, which gives x = b + 49.\n4. Substitute b = f + 17 to x, which gives x = f + 66.\n5. Substitute f = d + 6 to x, which gives x = d + 72.\n6. Substitute d = 2 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 995,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 13; a = s + 19; b = f + 17; f = d + 6; w = h + 11; e = t + 8; s = u + 16; h = y + 14; x = a + 12; d = 2; u = b + 2; t = w + 1; r = d + 2. If d = 2, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 18", "p": "g + 2", "c": "p + 9", "b": "c + 12", "x": "b + 19", "t": "x + 15", "l": "y + 5", "r": "l + 6", "s": "r + 16", "n": "s + 12", "a": "n + 4", "d": "a + 17", "y": 2}, "premises": {"y": 2}, "target": "t"}, "answer": {"steps": [["x", "b + 19", "b + 34"], ["b", "c + 12", "c + 46"], ["c", "p + 9", "p + 55"], ["p", "g + 2", "g + 57"], ["g", "y + 18", "y + 75"], ["y", 2, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"y": 2}, "is_reverse": true}}
| 996
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 19; g = y + 18; a = n + 4; r = l + 6; b = c + 12; d = a + 17; p = g + 2; s = r + 16; n = s + 12; c = p + 9; t = x + 15; y = 2; l = y + 5. If y = 2, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 19 to t, which gives t = b + 34.\n2. Substitute b = c + 12 to t, which gives t = c + 46.\n3. Substitute c = p + 9 to t, which gives t = p + 55.\n4. Substitute p = g + 2 to t, which gives t = g + 57.\n5. Substitute g = y + 18 to t, which gives t = y + 75.\n6. Substitute y = 2 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 19; g = y + 18; a = n + 4; r = l + 6; b = c + 12; d = a + 17; p = g + 2; s = r + 16; n = s + 12; c = p + 9; t = x + 15; y = 2; l = y + 5. If y = 2, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 9", "j": "x + 13", "i": "j + 17", "u": "i + 9", "y": "u + 13", "w": "y + 20", "p": "f + 7", "z": "p + 20", "g": "z + 15", "o": "g + 2", "d": "o + 2", "e": "d + 6", "f": 10}, "premises": {"f": 10}, "target": "w"}, "answer": {"steps": [["y", "u + 13", "u + 33"], ["u", "i + 9", "i + 42"], ["i", "j + 17", "j + 59"], ["j", "x + 13", "x + 72"], ["x", "f + 9", "f + 81"], ["f", 10, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"f": 10}, "is_reverse": true}}
| 997
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 6; p = f + 7; i = j + 17; w = y + 20; z = p + 20; d = o + 2; o = g + 2; j = x + 13; f = 10; x = f + 9; u = i + 9; y = u + 13; g = z + 15. Given that f = 10, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 13 to w, which gives w = u + 33.\n2. Substitute u = i + 9 to w, which gives w = i + 42.\n3. Substitute i = j + 17 to w, which gives w = j + 59.\n4. Substitute j = x + 13 to w, which gives w = x + 72.\n5. Substitute x = f + 9 to w, which gives w = f + 81.\n6. Substitute f = 10 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 997,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 6; p = f + 7; i = j + 17; w = y + 20; z = p + 20; d = o + 2; o = g + 2; j = x + 13; f = 10; x = f + 9; u = i + 9; y = u + 13; g = z + 15. Given that f = 10, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 7", "m": "t + 19", "p": "m + 5", "o": "p + 18", "q": "o + 10", "u": "q + 2", "s": "w + 10", "l": "s + 6", "e": "l + 14", "b": "e + 1", "g": "b + 19", "d": "g + 18", "w": 7}, "premises": {"w": 7}, "target": "u"}, "answer": {"steps": [["q", "o + 10", "o + 12"], ["o", "p + 18", "p + 30"], ["p", "m + 5", "m + 35"], ["m", "t + 19", "t + 54"], ["t", "w + 7", "w + 61"], ["w", 7, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"w": 7}, "is_reverse": true}}
| 998
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 7; d = g + 18; q = o + 10; p = m + 5; l = s + 6; m = t + 19; g = b + 19; b = e + 1; o = p + 18; u = q + 2; w = 7; e = l + 14; s = w + 10. If w = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 10 to u, which gives u = o + 12.\n2. Substitute o = p + 18 to u, which gives u = p + 30.\n3. Substitute p = m + 5 to u, which gives u = m + 35.\n4. Substitute m = t + 19 to u, which gives u = t + 54.\n5. Substitute t = w + 7 to u, which gives u = w + 61.\n6. Substitute w = 7 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 998,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 7; d = g + 18; q = o + 10; p = m + 5; l = s + 6; m = t + 19; g = b + 19; b = e + 1; o = p + 18; u = q + 2; w = 7; e = l + 14; s = w + 10. If w = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 10", "i": "r + 14", "f": "i + 14", "o": "f + 1", "m": "o + 4", "g": "m + 17", "e": "c + 14", "s": "e + 12", "k": "s + 15", "v": "k + 16", "x": "v + 16", "h": "x + 1", "c": 8}, "premises": {"c": 8}, "target": "g"}, "answer": {"steps": [["m", "o + 4", "o + 21"], ["o", "f + 1", "f + 22"], ["f", "i + 14", "i + 36"], ["i", "r + 14", "r + 50"], ["r", "c + 10", "c + 60"], ["c", 8, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"c": 8}, "is_reverse": true}}
| 999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 1; m = o + 4; f = i + 14; g = m + 17; x = v + 16; i = r + 14; k = s + 15; v = k + 16; c = 8; e = c + 14; s = e + 12; o = f + 1; r = c + 10. If c = 8, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 4 to g, which gives g = o + 21.\n2. Substitute o = f + 1 to g, which gives g = f + 22.\n3. Substitute f = i + 14 to g, which gives g = i + 36.\n4. Substitute i = r + 14 to g, which gives g = r + 50.\n5. Substitute r = c + 10 to g, which gives g = c + 60.\n6. Substitute c = 8 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 1; m = o + 4; f = i + 14; g = m + 17; x = v + 16; i = r + 14; k = s + 15; v = k + 16; c = 8; e = c + 14; s = e + 12; o = f + 1; r = c + 10. If c = 8, what is the resulting value of g?",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.