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": {"t": "e + 17", "n": "t + 1", "x": "n + 8", "r": "x + 11", "q": "r + 13", "s": "q + 14", "d": "e + 11", "f": "d + 16", "k": "f + 20", "i": "k + 5", "a": "i + 19", "u": "a + 18", "e": 8}, "premises": {"e": 8}, "target": "s"}, "answer": {"steps": [["q", "r + 13", "r + 27"], ["r", "x + 11", "x + 38"], ["x", "n + 8", "n + 46"], ["n", "t + 1", "t + 47"], ["t", "e + 17", "e + 64"], ["e", 8, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"e": 8}, "is_reverse": true}}
| 5,100
| 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 = 8; r = x + 11; n = t + 1; k = f + 20; a = i + 19; i = k + 5; u = a + 18; x = n + 8; t = e + 17; q = r + 13; f = d + 16; d = e + 11; s = q + 14. If e = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 13 to s, which gives s = r + 27.\n2. Substitute r = x + 11 to s, which gives s = x + 38.\n3. Substitute x = n + 8 to s, which gives s = n + 46.\n4. Substitute n = t + 1 to s, which gives s = t + 47.\n5. Substitute t = e + 17 to s, which gives s = e + 64.\n6. Substitute e = 8 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 5100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 8; r = x + 11; n = t + 1; k = f + 20; a = i + 19; i = k + 5; u = a + 18; x = n + 8; t = e + 17; q = r + 13; f = d + 16; d = e + 11; s = q + 14. If e = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 5", "j": "s + 20", "f": "j + 2", "g": "f + 1", "u": "g + 4", "d": "u + 5", "l": "t + 15", "y": "l + 8", "n": "y + 11", "i": "n + 17", "z": "i + 12", "b": "z + 1", "t": 17}, "premises": {"t": 17}, "target": "d"}, "answer": {"steps": [["u", "g + 4", "g + 9"], ["g", "f + 1", "f + 10"], ["f", "j + 2", "j + 12"], ["j", "s + 20", "s + 32"], ["s", "t + 5", "t + 37"], ["t", 17, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"t": 17}, "is_reverse": true}}
| 5,101
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 15; g = f + 1; b = z + 1; u = g + 4; n = y + 11; z = i + 12; j = s + 20; t = 17; f = j + 2; s = t + 5; y = l + 8; i = n + 17; d = u + 5. If t = 17, determine the 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 u = g + 4 to d, which gives d = g + 9.\n2. Substitute g = f + 1 to d, which gives d = f + 10.\n3. Substitute f = j + 2 to d, which gives d = j + 12.\n4. Substitute j = s + 20 to d, which gives d = s + 32.\n5. Substitute s = t + 5 to d, which gives d = t + 37.\n6. Substitute t = 17 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 5101,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 15; g = f + 1; b = z + 1; u = g + 4; n = y + 11; z = i + 12; j = s + 20; t = 17; f = j + 2; s = t + 5; y = l + 8; i = n + 17; d = u + 5. If t = 17, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 14", "s": "t + 4", "c": "s + 1", "o": "c + 2", "v": "o + 19", "q": "v + 18", "a": "b + 7", "f": "a + 13", "d": "f + 3", "e": "d + 18", "g": "e + 13", "r": "g + 19", "b": 13}, "premises": {"b": 13}, "target": "q"}, "answer": {"steps": [["v", "o + 19", "o + 37"], ["o", "c + 2", "c + 39"], ["c", "s + 1", "s + 40"], ["s", "t + 4", "t + 44"], ["t", "b + 14", "b + 58"], ["b", 13, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"b": 13}, "is_reverse": true}}
| 5,102
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 13; e = d + 18; a = b + 7; v = o + 19; q = v + 18; c = s + 1; f = a + 13; t = b + 14; d = f + 3; g = e + 13; o = c + 2; s = t + 4; r = g + 19. If b = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 19 to q, which gives q = o + 37.\n2. Substitute o = c + 2 to q, which gives q = c + 39.\n3. Substitute c = s + 1 to q, which gives q = s + 40.\n4. Substitute s = t + 4 to q, which gives q = t + 44.\n5. Substitute t = b + 14 to q, which gives q = b + 58.\n6. Substitute b = 13 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 5102,
"question": "Consider a system of variables where each variable is defined as follows: b = 13; e = d + 18; a = b + 7; v = o + 19; q = v + 18; c = s + 1; f = a + 13; t = b + 14; d = f + 3; g = e + 13; o = c + 2; s = t + 4; r = g + 19. If b = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 4", "y": "t + 12", "c": "y + 20", "l": "c + 9", "o": "l + 1", "f": "o + 3", "v": "n + 7", "z": "v + 19", "a": "z + 15", "d": "a + 5", "w": "d + 9", "j": "w + 9", "n": 9}, "premises": {"n": 9}, "target": "f"}, "answer": {"steps": [["o", "l + 1", "l + 4"], ["l", "c + 9", "c + 13"], ["c", "y + 20", "y + 33"], ["y", "t + 12", "t + 45"], ["t", "n + 4", "n + 49"], ["n", 9, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"n": 9}, "is_reverse": true}}
| 5,103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 15; t = n + 4; c = y + 20; v = n + 7; j = w + 9; n = 9; f = o + 3; w = d + 9; z = v + 19; l = c + 9; d = a + 5; y = t + 12; o = l + 1. If n = 9, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 1 to f, which gives f = l + 4.\n2. Substitute l = c + 9 to f, which gives f = c + 13.\n3. Substitute c = y + 20 to f, which gives f = y + 33.\n4. Substitute y = t + 12 to f, which gives f = t + 45.\n5. Substitute t = n + 4 to f, which gives f = n + 49.\n6. Substitute n = 9 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 5103,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 15; t = n + 4; c = y + 20; v = n + 7; j = w + 9; n = 9; f = o + 3; w = d + 9; z = v + 19; l = c + 9; d = a + 5; y = t + 12; o = l + 1. If n = 9, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 19", "h": "g + 17", "a": "h + 12", "w": "a + 3", "n": "w + 15", "x": "n + 13", "o": "q + 7", "v": "o + 3", "d": "v + 5", "c": "d + 19", "i": "c + 12", "m": "i + 15", "q": 13}, "premises": {"q": 13}, "target": "x"}, "answer": {"steps": [["n", "w + 15", "w + 28"], ["w", "a + 3", "a + 31"], ["a", "h + 12", "h + 43"], ["h", "g + 17", "g + 60"], ["g", "q + 19", "q + 79"], ["q", 13, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"q": 13}, "is_reverse": true}}
| 5,104
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 15; d = v + 5; v = o + 3; q = 13; o = q + 7; a = h + 12; x = n + 13; n = w + 15; i = c + 12; h = g + 17; g = q + 19; c = d + 19; w = a + 3. Given that q = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 15 to x, which gives x = w + 28.\n2. Substitute w = a + 3 to x, which gives x = a + 31.\n3. Substitute a = h + 12 to x, which gives x = h + 43.\n4. Substitute h = g + 17 to x, which gives x = g + 60.\n5. Substitute g = q + 19 to x, which gives x = q + 79.\n6. Substitute q = 13 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 5104,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 15; d = v + 5; v = o + 3; q = 13; o = q + 7; a = h + 12; x = n + 13; n = w + 15; i = c + 12; h = g + 17; g = q + 19; c = d + 19; w = a + 3. Given that q = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 14", "m": "v + 18", "w": "m + 6", "y": "w + 1", "r": "y + 3", "g": "r + 16", "a": "i + 2", "j": "a + 18", "l": "j + 20", "f": "l + 14", "h": "f + 16", "u": "h + 19", "i": 19}, "premises": {"i": 19}, "target": "g"}, "answer": {"steps": [["r", "y + 3", "y + 19"], ["y", "w + 1", "w + 20"], ["w", "m + 6", "m + 26"], ["m", "v + 18", "v + 44"], ["v", "i + 14", "i + 58"], ["i", 19, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"i": 19}, "is_reverse": true}}
| 5,105
| 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 = m + 6; m = v + 18; u = h + 19; g = r + 16; i = 19; j = a + 18; l = j + 20; a = i + 2; r = y + 3; v = i + 14; y = w + 1; f = l + 14; h = f + 16. If i = 19, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 3 to g, which gives g = y + 19.\n2. Substitute y = w + 1 to g, which gives g = w + 20.\n3. Substitute w = m + 6 to g, which gives g = m + 26.\n4. Substitute m = v + 18 to g, which gives g = v + 44.\n5. Substitute v = i + 14 to g, which gives g = i + 58.\n6. Substitute i = 19 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 5105,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 6; m = v + 18; u = h + 19; g = r + 16; i = 19; j = a + 18; l = j + 20; a = i + 2; r = y + 3; v = i + 14; y = w + 1; f = l + 14; h = f + 16. If i = 19, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 9", "v": "c + 14", "p": "v + 7", "d": "p + 6", "j": "d + 5", "z": "j + 4", "e": "h + 18", "y": "e + 8", "u": "y + 14", "l": "u + 14", "o": "l + 15", "r": "o + 2", "h": 16}, "premises": {"h": 16}, "target": "z"}, "answer": {"steps": [["j", "d + 5", "d + 9"], ["d", "p + 6", "p + 15"], ["p", "v + 7", "v + 22"], ["v", "c + 14", "c + 36"], ["c", "h + 9", "h + 45"], ["h", 16, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"h": 16}, "is_reverse": true}}
| 5,106
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 14; o = l + 15; d = p + 6; j = d + 5; z = j + 4; y = e + 8; u = y + 14; e = h + 18; p = v + 7; h = 16; c = h + 9; l = u + 14; r = o + 2. If h = 16, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 5 to z, which gives z = d + 9.\n2. Substitute d = p + 6 to z, which gives z = p + 15.\n3. Substitute p = v + 7 to z, which gives z = v + 22.\n4. Substitute v = c + 14 to z, which gives z = c + 36.\n5. Substitute c = h + 9 to z, which gives z = h + 45.\n6. Substitute h = 16 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 5106,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 14; o = l + 15; d = p + 6; j = d + 5; z = j + 4; y = e + 8; u = y + 14; e = h + 18; p = v + 7; h = 16; c = h + 9; l = u + 14; r = o + 2. If h = 16, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 3", "o": "m + 9", "h": "o + 2", "a": "h + 9", "w": "a + 1", "p": "w + 19", "s": "j + 10", "c": "s + 1", "e": "c + 9", "x": "e + 10", "n": "x + 18", "b": "n + 14", "j": 11}, "premises": {"j": 11}, "target": "p"}, "answer": {"steps": [["w", "a + 1", "a + 20"], ["a", "h + 9", "h + 29"], ["h", "o + 2", "o + 31"], ["o", "m + 9", "m + 40"], ["m", "j + 3", "j + 43"], ["j", 11, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"j": 11}, "is_reverse": true}}
| 5,107
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 18; c = s + 1; j = 11; p = w + 19; a = h + 9; w = a + 1; s = j + 10; o = m + 9; b = n + 14; m = j + 3; x = e + 10; h = o + 2; e = c + 9. If j = 11, 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 w = a + 1 to p, which gives p = a + 20.\n2. Substitute a = h + 9 to p, which gives p = h + 29.\n3. Substitute h = o + 2 to p, which gives p = o + 31.\n4. Substitute o = m + 9 to p, which gives p = m + 40.\n5. Substitute m = j + 3 to p, which gives p = j + 43.\n6. Substitute j = 11 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 5107,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 18; c = s + 1; j = 11; p = w + 19; a = h + 9; w = a + 1; s = j + 10; o = m + 9; b = n + 14; m = j + 3; x = e + 10; h = o + 2; e = c + 9. If j = 11, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 8", "j": "e + 20", "q": "j + 2", "c": "q + 19", "z": "c + 16", "v": "z + 16", "s": "l + 15", "u": "s + 4", "o": "u + 13", "f": "o + 3", "i": "f + 16", "t": "i + 2", "l": 9}, "premises": {"l": 9}, "target": "v"}, "answer": {"steps": [["z", "c + 16", "c + 32"], ["c", "q + 19", "q + 51"], ["q", "j + 2", "j + 53"], ["j", "e + 20", "e + 73"], ["e", "l + 8", "l + 81"], ["l", 9, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"l": 9}, "is_reverse": true}}
| 5,108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 16; c = q + 19; o = u + 13; u = s + 4; l = 9; t = i + 2; j = e + 20; v = z + 16; s = l + 15; z = c + 16; f = o + 3; e = l + 8; q = j + 2. If l = 9, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 16 to v, which gives v = c + 32.\n2. Substitute c = q + 19 to v, which gives v = q + 51.\n3. Substitute q = j + 2 to v, which gives v = j + 53.\n4. Substitute j = e + 20 to v, which gives v = e + 73.\n5. Substitute e = l + 8 to v, which gives v = l + 81.\n6. Substitute l = 9 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 5108,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 16; c = q + 19; o = u + 13; u = s + 4; l = 9; t = i + 2; j = e + 20; v = z + 16; s = l + 15; z = c + 16; f = o + 3; e = l + 8; q = j + 2. If l = 9, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 5", "n": "e + 13", "w": "n + 7", "l": "w + 19", "y": "l + 18", "u": "y + 8", "t": "h + 8", "i": "t + 8", "q": "i + 18", "c": "q + 15", "x": "c + 6", "r": "x + 9", "h": 2}, "premises": {"h": 2}, "target": "u"}, "answer": {"steps": [["y", "l + 18", "l + 26"], ["l", "w + 19", "w + 45"], ["w", "n + 7", "n + 52"], ["n", "e + 13", "e + 65"], ["e", "h + 5", "h + 70"], ["h", 2, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"h": 2}, "is_reverse": true}}
| 5,109
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 18; l = w + 19; c = q + 15; r = x + 9; n = e + 13; u = y + 8; t = h + 8; h = 2; x = c + 6; i = t + 8; e = h + 5; w = n + 7; q = i + 18. Given that h = 2, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 18 to u, which gives u = l + 26.\n2. Substitute l = w + 19 to u, which gives u = w + 45.\n3. Substitute w = n + 7 to u, which gives u = n + 52.\n4. Substitute n = e + 13 to u, which gives u = e + 65.\n5. Substitute e = h + 5 to u, which gives u = h + 70.\n6. Substitute h = 2 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 5109,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 18; l = w + 19; c = q + 15; r = x + 9; n = e + 13; u = y + 8; t = h + 8; h = 2; x = c + 6; i = t + 8; e = h + 5; w = n + 7; q = i + 18. Given that h = 2, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 1", "e": "h + 4", "i": "e + 8", "u": "i + 19", "w": "u + 2", "r": "w + 10", "c": "v + 20", "t": "c + 2", "z": "t + 5", "g": "z + 9", "l": "g + 13", "b": "l + 7", "v": 17}, "premises": {"v": 17}, "target": "r"}, "answer": {"steps": [["w", "u + 2", "u + 12"], ["u", "i + 19", "i + 31"], ["i", "e + 8", "e + 39"], ["e", "h + 4", "h + 43"], ["h", "v + 1", "v + 44"], ["v", 17, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"v": 17}, "is_reverse": true}}
| 5,110
| 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 = c + 2; v = 17; u = i + 19; b = l + 7; h = v + 1; c = v + 20; g = z + 9; i = e + 8; e = h + 4; r = w + 10; l = g + 13; w = u + 2; z = t + 5. If v = 17, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 2 to r, which gives r = u + 12.\n2. Substitute u = i + 19 to r, which gives r = i + 31.\n3. Substitute i = e + 8 to r, which gives r = e + 39.\n4. Substitute e = h + 4 to r, which gives r = h + 43.\n5. Substitute h = v + 1 to r, which gives r = v + 44.\n6. Substitute v = 17 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 5110,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 2; v = 17; u = i + 19; b = l + 7; h = v + 1; c = v + 20; g = z + 9; i = e + 8; e = h + 4; r = w + 10; l = g + 13; w = u + 2; z = t + 5. If v = 17, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 8", "p": "g + 14", "d": "p + 3", "s": "d + 10", "e": "s + 16", "y": "e + 8", "t": "b + 8", "v": "t + 4", "k": "v + 11", "r": "k + 15", "u": "r + 11", "l": "u + 2", "b": 16}, "premises": {"b": 16}, "target": "y"}, "answer": {"steps": [["e", "s + 16", "s + 24"], ["s", "d + 10", "d + 34"], ["d", "p + 3", "p + 37"], ["p", "g + 14", "g + 51"], ["g", "b + 8", "b + 59"], ["b", 16, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"b": 16}, "is_reverse": true}}
| 5,111
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 8; r = k + 15; v = t + 4; d = p + 3; y = e + 8; p = g + 14; l = u + 2; e = s + 16; k = v + 11; s = d + 10; u = r + 11; t = b + 8; b = 16. If b = 16, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 16 to y, which gives y = s + 24.\n2. Substitute s = d + 10 to y, which gives y = d + 34.\n3. Substitute d = p + 3 to y, which gives y = p + 37.\n4. Substitute p = g + 14 to y, which gives y = g + 51.\n5. Substitute g = b + 8 to y, which gives y = b + 59.\n6. Substitute b = 16 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 5111,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 8; r = k + 15; v = t + 4; d = p + 3; y = e + 8; p = g + 14; l = u + 2; e = s + 16; k = v + 11; s = d + 10; u = r + 11; t = b + 8; b = 16. If b = 16, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 13", "q": "x + 18", "z": "q + 3", "w": "z + 4", "u": "w + 18", "l": "u + 11", "g": "k + 19", "n": "g + 9", "o": "n + 1", "s": "o + 14", "e": "s + 4", "d": "e + 17", "k": 9}, "premises": {"k": 9}, "target": "l"}, "answer": {"steps": [["u", "w + 18", "w + 29"], ["w", "z + 4", "z + 33"], ["z", "q + 3", "q + 36"], ["q", "x + 18", "x + 54"], ["x", "k + 13", "k + 67"], ["k", 9, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"k": 9}, "is_reverse": true}}
| 5,112
| 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 = e + 17; o = n + 1; k = 9; w = z + 4; x = k + 13; q = x + 18; e = s + 4; g = k + 19; s = o + 14; z = q + 3; l = u + 11; u = w + 18; n = g + 9. If k = 9, what is the resulting 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 u = w + 18 to l, which gives l = w + 29.\n2. Substitute w = z + 4 to l, which gives l = z + 33.\n3. Substitute z = q + 3 to l, which gives l = q + 36.\n4. Substitute q = x + 18 to l, which gives l = x + 54.\n5. Substitute x = k + 13 to l, which gives l = k + 67.\n6. Substitute k = 9 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 5112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 17; o = n + 1; k = 9; w = z + 4; x = k + 13; q = x + 18; e = s + 4; g = k + 19; s = o + 14; z = q + 3; l = u + 11; u = w + 18; n = g + 9. If k = 9, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 3", "j": "b + 11", "e": "j + 2", "y": "e + 20", "n": "y + 16", "g": "n + 10", "w": "a + 18", "c": "w + 9", "v": "c + 9", "q": "v + 8", "u": "q + 19", "r": "u + 14", "a": 4}, "premises": {"a": 4}, "target": "g"}, "answer": {"steps": [["n", "y + 16", "y + 26"], ["y", "e + 20", "e + 46"], ["e", "j + 2", "j + 48"], ["j", "b + 11", "b + 59"], ["b", "a + 3", "a + 62"], ["a", 4, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"a": 4}, "is_reverse": true}}
| 5,113
| 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 = n + 10; y = e + 20; u = q + 19; b = a + 3; c = w + 9; n = y + 16; e = j + 2; w = a + 18; v = c + 9; r = u + 14; a = 4; j = b + 11; q = v + 8. If a = 4, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 16 to g, which gives g = y + 26.\n2. Substitute y = e + 20 to g, which gives g = e + 46.\n3. Substitute e = j + 2 to g, which gives g = j + 48.\n4. Substitute j = b + 11 to g, which gives g = b + 59.\n5. Substitute b = a + 3 to g, which gives g = a + 62.\n6. Substitute a = 4 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 5113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 10; y = e + 20; u = q + 19; b = a + 3; c = w + 9; n = y + 16; e = j + 2; w = a + 18; v = c + 9; r = u + 14; a = 4; j = b + 11; q = v + 8. If a = 4, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 3", "n": "a + 5", "q": "n + 8", "e": "q + 2", "s": "e + 7", "z": "s + 3", "d": "j + 1", "r": "d + 16", "w": "r + 17", "b": "w + 8", "v": "b + 9", "k": "v + 15", "j": 12}, "premises": {"j": 12}, "target": "z"}, "answer": {"steps": [["s", "e + 7", "e + 10"], ["e", "q + 2", "q + 12"], ["q", "n + 8", "n + 20"], ["n", "a + 5", "a + 25"], ["a", "j + 3", "j + 28"], ["j", 12, "40"]], "target_var_name": "z", "target_value": 40, "value_dict": {"j": 12}, "is_reverse": true}}
| 5,114
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = s + 3; a = j + 3; d = j + 1; q = n + 8; j = 12; r = d + 16; w = r + 17; s = e + 7; b = w + 8; n = a + 5; v = b + 9; e = q + 2; k = v + 15. If j = 12, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 7 to z, which gives z = e + 10.\n2. Substitute e = q + 2 to z, which gives z = q + 12.\n3. Substitute q = n + 8 to z, which gives z = n + 20.\n4. Substitute n = a + 5 to z, which gives z = a + 25.\n5. Substitute a = j + 3 to z, which gives z = j + 28.\n6. Substitute j = 12 to z, which gives z = 40.\n\nThus, the final answer is z = \\boxed{40}.",
"index": 5114,
"question": "Consider a system of variables where each variable is defined as follows: z = s + 3; a = j + 3; d = j + 1; q = n + 8; j = 12; r = d + 16; w = r + 17; s = e + 7; b = w + 8; n = a + 5; v = b + 9; e = q + 2; k = v + 15. If j = 12, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 14", "i": "l + 9", "y": "i + 11", "q": "y + 13", "s": "q + 15", "z": "s + 1", "g": "n + 10", "r": "g + 18", "d": "r + 9", "h": "d + 18", "u": "h + 5", "v": "u + 4", "n": 10}, "premises": {"n": 10}, "target": "z"}, "answer": {"steps": [["s", "q + 15", "q + 16"], ["q", "y + 13", "y + 29"], ["y", "i + 11", "i + 40"], ["i", "l + 9", "l + 49"], ["l", "n + 14", "n + 63"], ["n", 10, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"n": 10}, "is_reverse": true}}
| 5,115
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 10; h = d + 18; r = g + 18; g = n + 10; s = q + 15; l = n + 14; u = h + 5; z = s + 1; y = i + 11; d = r + 9; v = u + 4; q = y + 13; i = l + 9. If n = 10, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 15 to z, which gives z = q + 16.\n2. Substitute q = y + 13 to z, which gives z = y + 29.\n3. Substitute y = i + 11 to z, which gives z = i + 40.\n4. Substitute i = l + 9 to z, which gives z = l + 49.\n5. Substitute l = n + 14 to z, which gives z = n + 63.\n6. Substitute n = 10 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 5115,
"question": "Consider a system of variables where each variable is defined as follows: n = 10; h = d + 18; r = g + 18; g = n + 10; s = q + 15; l = n + 14; u = h + 5; z = s + 1; y = i + 11; d = r + 9; v = u + 4; q = y + 13; i = l + 9. If n = 10, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 19", "w": "g + 20", "n": "w + 12", "p": "n + 12", "s": "p + 14", "t": "s + 11", "a": "u + 15", "k": "a + 15", "y": "k + 2", "j": "y + 7", "f": "j + 6", "c": "f + 9", "u": 5}, "premises": {"u": 5}, "target": "t"}, "answer": {"steps": [["s", "p + 14", "p + 25"], ["p", "n + 12", "n + 37"], ["n", "w + 12", "w + 49"], ["w", "g + 20", "g + 69"], ["g", "u + 19", "u + 88"], ["u", 5, "93"]], "target_var_name": "t", "target_value": 93, "value_dict": {"u": 5}, "is_reverse": true}}
| 5,116
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 5; p = n + 12; c = f + 9; k = a + 15; y = k + 2; w = g + 20; a = u + 15; t = s + 11; j = y + 7; s = p + 14; n = w + 12; f = j + 6; g = u + 19. If u = 5, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 14 to t, which gives t = p + 25.\n2. Substitute p = n + 12 to t, which gives t = n + 37.\n3. Substitute n = w + 12 to t, which gives t = w + 49.\n4. Substitute w = g + 20 to t, which gives t = g + 69.\n5. Substitute g = u + 19 to t, which gives t = u + 88.\n6. Substitute u = 5 to t, which gives t = 93.\n\nThus, the final answer is t = \\boxed{93}.",
"index": 5116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 5; p = n + 12; c = f + 9; k = a + 15; y = k + 2; w = g + 20; a = u + 15; t = s + 11; j = y + 7; s = p + 14; n = w + 12; f = j + 6; g = u + 19. If u = 5, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 4", "f": "v + 3", "x": "f + 6", "m": "x + 10", "e": "m + 18", "k": "e + 17", "q": "w + 15", "t": "q + 6", "r": "t + 20", "c": "r + 20", "s": "c + 6", "p": "s + 18", "w": 14}, "premises": {"w": 14}, "target": "k"}, "answer": {"steps": [["e", "m + 18", "m + 35"], ["m", "x + 10", "x + 45"], ["x", "f + 6", "f + 51"], ["f", "v + 3", "v + 54"], ["v", "w + 4", "w + 58"], ["w", 14, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"w": 14}, "is_reverse": true}}
| 5,117
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 6; q = w + 15; k = e + 17; c = r + 20; s = c + 6; w = 14; f = v + 3; x = f + 6; v = w + 4; p = s + 18; m = x + 10; e = m + 18; r = t + 20. Given that w = 14, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 18 to k, which gives k = m + 35.\n2. Substitute m = x + 10 to k, which gives k = x + 45.\n3. Substitute x = f + 6 to k, which gives k = f + 51.\n4. Substitute f = v + 3 to k, which gives k = v + 54.\n5. Substitute v = w + 4 to k, which gives k = w + 58.\n6. Substitute w = 14 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 5117,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 6; q = w + 15; k = e + 17; c = r + 20; s = c + 6; w = 14; f = v + 3; x = f + 6; v = w + 4; p = s + 18; m = x + 10; e = m + 18; r = t + 20. Given that w = 14, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 7", "u": "o + 19", "g": "u + 10", "k": "g + 15", "r": "k + 14", "n": "r + 3", "l": "q + 4", "i": "l + 5", "e": "i + 17", "x": "e + 14", "h": "x + 1", "w": "h + 15", "q": 7}, "premises": {"q": 7}, "target": "n"}, "answer": {"steps": [["r", "k + 14", "k + 17"], ["k", "g + 15", "g + 32"], ["g", "u + 10", "u + 42"], ["u", "o + 19", "o + 61"], ["o", "q + 7", "q + 68"], ["q", 7, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"q": 7}, "is_reverse": true}}
| 5,118
| 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 = q + 7; w = h + 15; x = e + 14; n = r + 3; h = x + 1; k = g + 15; g = u + 10; u = o + 19; q = 7; r = k + 14; i = l + 5; l = q + 4; e = i + 17. If q = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 14 to n, which gives n = k + 17.\n2. Substitute k = g + 15 to n, which gives n = g + 32.\n3. Substitute g = u + 10 to n, which gives n = u + 42.\n4. Substitute u = o + 19 to n, which gives n = o + 61.\n5. Substitute o = q + 7 to n, which gives n = q + 68.\n6. Substitute q = 7 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 5118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 7; w = h + 15; x = e + 14; n = r + 3; h = x + 1; k = g + 15; g = u + 10; u = o + 19; q = 7; r = k + 14; i = l + 5; l = q + 4; e = i + 17. If q = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 8", "j": "f + 18", "l": "j + 16", "y": "l + 19", "h": "y + 4", "k": "h + 15", "x": "d + 11", "m": "x + 15", "b": "m + 10", "e": "b + 7", "s": "e + 13", "u": "s + 19", "d": 10}, "premises": {"d": 10}, "target": "k"}, "answer": {"steps": [["h", "y + 4", "y + 19"], ["y", "l + 19", "l + 38"], ["l", "j + 16", "j + 54"], ["j", "f + 18", "f + 72"], ["f", "d + 8", "d + 80"], ["d", 10, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"d": 10}, "is_reverse": true}}
| 5,119
| 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 = d + 8; x = d + 11; b = m + 10; l = j + 16; h = y + 4; m = x + 15; k = h + 15; j = f + 18; s = e + 13; y = l + 19; u = s + 19; e = b + 7; d = 10. If d = 10, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 4 to k, which gives k = y + 19.\n2. Substitute y = l + 19 to k, which gives k = l + 38.\n3. Substitute l = j + 16 to k, which gives k = j + 54.\n4. Substitute j = f + 18 to k, which gives k = f + 72.\n5. Substitute f = d + 8 to k, which gives k = d + 80.\n6. Substitute d = 10 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 5119,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 8; x = d + 11; b = m + 10; l = j + 16; h = y + 4; m = x + 15; k = h + 15; j = f + 18; s = e + 13; y = l + 19; u = s + 19; e = b + 7; d = 10. If d = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 1", "a": "z + 6", "b": "a + 14", "h": "b + 10", "p": "h + 5", "w": "p + 6", "m": "j + 10", "f": "m + 16", "t": "f + 14", "y": "t + 8", "q": "y + 12", "r": "q + 6", "j": 17}, "premises": {"j": 17}, "target": "w"}, "answer": {"steps": [["p", "h + 5", "h + 11"], ["h", "b + 10", "b + 21"], ["b", "a + 14", "a + 35"], ["a", "z + 6", "z + 41"], ["z", "j + 1", "j + 42"], ["j", 17, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"j": 17}, "is_reverse": true}}
| 5,120
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 6; r = q + 6; f = m + 16; b = a + 14; q = y + 12; p = h + 5; j = 17; a = z + 6; z = j + 1; h = b + 10; y = t + 8; m = j + 10; t = f + 14. If j = 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 p = h + 5 to w, which gives w = h + 11.\n2. Substitute h = b + 10 to w, which gives w = b + 21.\n3. Substitute b = a + 14 to w, which gives w = a + 35.\n4. Substitute a = z + 6 to w, which gives w = z + 41.\n5. Substitute z = j + 1 to w, which gives w = j + 42.\n6. Substitute j = 17 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 5120,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 6; r = q + 6; f = m + 16; b = a + 14; q = y + 12; p = h + 5; j = 17; a = z + 6; z = j + 1; h = b + 10; y = t + 8; m = j + 10; t = f + 14. If j = 17, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 8", "g": "o + 4", "d": "g + 19", "a": "d + 1", "h": "a + 20", "f": "h + 6", "s": "x + 15", "k": "s + 19", "p": "k + 11", "j": "p + 4", "r": "j + 5", "w": "r + 15", "x": 7}, "premises": {"x": 7}, "target": "f"}, "answer": {"steps": [["h", "a + 20", "a + 26"], ["a", "d + 1", "d + 27"], ["d", "g + 19", "g + 46"], ["g", "o + 4", "o + 50"], ["o", "x + 8", "x + 58"], ["x", 7, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"x": 7}, "is_reverse": true}}
| 5,121
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 19; r = j + 5; s = x + 15; d = g + 19; h = a + 20; o = x + 8; w = r + 15; p = k + 11; a = d + 1; j = p + 4; g = o + 4; x = 7; f = h + 6. If x = 7, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 20 to f, which gives f = a + 26.\n2. Substitute a = d + 1 to f, which gives f = d + 27.\n3. Substitute d = g + 19 to f, which gives f = g + 46.\n4. Substitute g = o + 4 to f, which gives f = o + 50.\n5. Substitute o = x + 8 to f, which gives f = x + 58.\n6. Substitute x = 7 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 5121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 19; r = j + 5; s = x + 15; d = g + 19; h = a + 20; o = x + 8; w = r + 15; p = k + 11; a = d + 1; j = p + 4; g = o + 4; x = 7; f = h + 6. If x = 7, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 11", "m": "d + 11", "t": "m + 16", "c": "t + 16", "q": "c + 12", "s": "q + 5", "h": "v + 15", "o": "h + 11", "g": "o + 19", "w": "g + 19", "u": "w + 3", "x": "u + 12", "v": 20}, "premises": {"v": 20}, "target": "s"}, "answer": {"steps": [["q", "c + 12", "c + 17"], ["c", "t + 16", "t + 33"], ["t", "m + 16", "m + 49"], ["m", "d + 11", "d + 60"], ["d", "v + 11", "v + 71"], ["v", 20, "91"]], "target_var_name": "s", "target_value": 91, "value_dict": {"v": 20}, "is_reverse": true}}
| 5,122
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 16; o = h + 11; w = g + 19; m = d + 11; g = o + 19; s = q + 5; d = v + 11; u = w + 3; t = m + 16; x = u + 12; q = c + 12; v = 20; h = v + 15. Given that v = 20, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 12 to s, which gives s = c + 17.\n2. Substitute c = t + 16 to s, which gives s = t + 33.\n3. Substitute t = m + 16 to s, which gives s = m + 49.\n4. Substitute m = d + 11 to s, which gives s = d + 60.\n5. Substitute d = v + 11 to s, which gives s = v + 71.\n6. Substitute v = 20 to s, which gives s = 91.\n\nThus, the final answer is s = \\boxed{91}.",
"index": 5122,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 16; o = h + 11; w = g + 19; m = d + 11; g = o + 19; s = q + 5; d = v + 11; u = w + 3; t = m + 16; x = u + 12; q = c + 12; v = 20; h = v + 15. Given that v = 20, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 14", "h": "b + 4", "v": "h + 18", "m": "v + 4", "g": "m + 13", "p": "g + 16", "y": "s + 7", "q": "y + 20", "e": "q + 20", "w": "e + 10", "c": "w + 7", "i": "c + 20", "s": 9}, "premises": {"s": 9}, "target": "p"}, "answer": {"steps": [["g", "m + 13", "m + 29"], ["m", "v + 4", "v + 33"], ["v", "h + 18", "h + 51"], ["h", "b + 4", "b + 55"], ["b", "s + 14", "s + 69"], ["s", 9, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"s": 9}, "is_reverse": true}}
| 5,123
| 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 = y + 20; s = 9; i = c + 20; c = w + 7; e = q + 20; w = e + 10; m = v + 4; h = b + 4; g = m + 13; v = h + 18; p = g + 16; y = s + 7; b = s + 14. If s = 9, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 13 to p, which gives p = m + 29.\n2. Substitute m = v + 4 to p, which gives p = v + 33.\n3. Substitute v = h + 18 to p, which gives p = h + 51.\n4. Substitute h = b + 4 to p, which gives p = b + 55.\n5. Substitute b = s + 14 to p, which gives p = s + 69.\n6. Substitute s = 9 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 5123,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 20; s = 9; i = c + 20; c = w + 7; e = q + 20; w = e + 10; m = v + 4; h = b + 4; g = m + 13; v = h + 18; p = g + 16; y = s + 7; b = s + 14. If s = 9, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 3", "r": "i + 12", "c": "r + 8", "t": "c + 14", "s": "t + 14", "f": "s + 7", "k": "e + 18", "g": "k + 3", "v": "g + 19", "u": "v + 11", "b": "u + 9", "q": "b + 1", "e": 6}, "premises": {"e": 6}, "target": "f"}, "answer": {"steps": [["s", "t + 14", "t + 21"], ["t", "c + 14", "c + 35"], ["c", "r + 8", "r + 43"], ["r", "i + 12", "i + 55"], ["i", "e + 3", "e + 58"], ["e", 6, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"e": 6}, "is_reverse": true}}
| 5,124
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 8; i = e + 3; u = v + 11; e = 6; g = k + 3; s = t + 14; f = s + 7; k = e + 18; q = b + 1; r = i + 12; v = g + 19; t = c + 14; b = u + 9. If e = 6, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 14 to f, which gives f = t + 21.\n2. Substitute t = c + 14 to f, which gives f = c + 35.\n3. Substitute c = r + 8 to f, which gives f = r + 43.\n4. Substitute r = i + 12 to f, which gives f = i + 55.\n5. Substitute i = e + 3 to f, which gives f = e + 58.\n6. Substitute e = 6 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 5124,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 8; i = e + 3; u = v + 11; e = 6; g = k + 3; s = t + 14; f = s + 7; k = e + 18; q = b + 1; r = i + 12; v = g + 19; t = c + 14; b = u + 9. If e = 6, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 6", "h": "t + 20", "r": "h + 7", "w": "r + 5", "p": "w + 6", "e": "p + 12", "f": "n + 3", "l": "f + 18", "v": "l + 8", "y": "v + 12", "k": "y + 15", "j": "k + 4", "n": 11}, "premises": {"n": 11}, "target": "e"}, "answer": {"steps": [["p", "w + 6", "w + 18"], ["w", "r + 5", "r + 23"], ["r", "h + 7", "h + 30"], ["h", "t + 20", "t + 50"], ["t", "n + 6", "n + 56"], ["n", 11, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"n": 11}, "is_reverse": true}}
| 5,125
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 5; e = p + 12; r = h + 7; v = l + 8; n = 11; h = t + 20; p = w + 6; k = y + 15; y = v + 12; l = f + 18; f = n + 3; t = n + 6; j = k + 4. If n = 11, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 6 to e, which gives e = w + 18.\n2. Substitute w = r + 5 to e, which gives e = r + 23.\n3. Substitute r = h + 7 to e, which gives e = h + 30.\n4. Substitute h = t + 20 to e, which gives e = t + 50.\n5. Substitute t = n + 6 to e, which gives e = n + 56.\n6. Substitute n = 11 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 5125,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 5; e = p + 12; r = h + 7; v = l + 8; n = 11; h = t + 20; p = w + 6; k = y + 15; y = v + 12; l = f + 18; f = n + 3; t = n + 6; j = k + 4. If n = 11, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"j": "x + 20", "f": "j + 19", "q": "f + 5", "a": "q + 7", "v": "a + 10", "w": "v + 18", "l": "x + 8", "y": "l + 11", "c": "y + 5", "i": "c + 5", "k": "i + 3", "p": "k + 16", "x": 3}, "premises": {"x": 3}, "target": "w"}, "answer": {"steps": [["v", "a + 10", "a + 28"], ["a", "q + 7", "q + 35"], ["q", "f + 5", "f + 40"], ["f", "j + 19", "j + 59"], ["j", "x + 20", "x + 79"], ["x", 3, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"x": 3}, "is_reverse": true}}
| 5,126
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 16; j = x + 20; f = j + 19; c = y + 5; x = 3; k = i + 3; y = l + 11; l = x + 8; a = q + 7; i = c + 5; v = a + 10; q = f + 5; w = v + 18. If x = 3, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 10 to w, which gives w = a + 28.\n2. Substitute a = q + 7 to w, which gives w = q + 35.\n3. Substitute q = f + 5 to w, which gives w = f + 40.\n4. Substitute f = j + 19 to w, which gives w = j + 59.\n5. Substitute j = x + 20 to w, which gives w = x + 79.\n6. Substitute x = 3 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 5126,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 16; j = x + 20; f = j + 19; c = y + 5; x = 3; k = i + 3; y = l + 11; l = x + 8; a = q + 7; i = c + 5; v = a + 10; q = f + 5; w = v + 18. If x = 3, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 5", "y": "p + 20", "h": "y + 2", "o": "h + 17", "v": "o + 18", "c": "v + 8", "t": "m + 16", "s": "t + 13", "n": "s + 3", "k": "n + 16", "b": "k + 8", "a": "b + 3", "m": 8}, "premises": {"m": 8}, "target": "c"}, "answer": {"steps": [["v", "o + 18", "o + 26"], ["o", "h + 17", "h + 43"], ["h", "y + 2", "y + 45"], ["y", "p + 20", "p + 65"], ["p", "m + 5", "m + 70"], ["m", 8, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"m": 8}, "is_reverse": true}}
| 5,127
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 16; p = m + 5; a = b + 3; h = y + 2; s = t + 13; y = p + 20; m = 8; n = s + 3; o = h + 17; c = v + 8; v = o + 18; t = m + 16; b = k + 8. Given that m = 8, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 18 to c, which gives c = o + 26.\n2. Substitute o = h + 17 to c, which gives c = h + 43.\n3. Substitute h = y + 2 to c, which gives c = y + 45.\n4. Substitute y = p + 20 to c, which gives c = p + 65.\n5. Substitute p = m + 5 to c, which gives c = m + 70.\n6. Substitute m = 8 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 5127,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 16; p = m + 5; a = b + 3; h = y + 2; s = t + 13; y = p + 20; m = 8; n = s + 3; o = h + 17; c = v + 8; v = o + 18; t = m + 16; b = k + 8. Given that m = 8, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 7", "a": "i + 5", "o": "a + 19", "w": "o + 13", "z": "w + 14", "p": "z + 9", "y": "h + 19", "d": "y + 5", "v": "d + 19", "m": "v + 1", "c": "m + 9", "k": "c + 14", "h": 17}, "premises": {"h": 17}, "target": "p"}, "answer": {"steps": [["z", "w + 14", "w + 23"], ["w", "o + 13", "o + 36"], ["o", "a + 19", "a + 55"], ["a", "i + 5", "i + 60"], ["i", "h + 7", "h + 67"], ["h", 17, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"h": 17}, "is_reverse": true}}
| 5,128
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = c + 14; v = d + 19; p = z + 9; h = 17; z = w + 14; o = a + 19; m = v + 1; i = h + 7; c = m + 9; a = i + 5; y = h + 19; d = y + 5; w = o + 13. If h = 17, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 14 to p, which gives p = w + 23.\n2. Substitute w = o + 13 to p, which gives p = o + 36.\n3. Substitute o = a + 19 to p, which gives p = a + 55.\n4. Substitute a = i + 5 to p, which gives p = i + 60.\n5. Substitute i = h + 7 to p, which gives p = h + 67.\n6. Substitute h = 17 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 5128,
"question": "Consider a system of variables where each variable is defined as follows: k = c + 14; v = d + 19; p = z + 9; h = 17; z = w + 14; o = a + 19; m = v + 1; i = h + 7; c = m + 9; a = i + 5; y = h + 19; d = y + 5; w = o + 13. If h = 17, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 13", "u": "k + 17", "o": "u + 10", "e": "o + 7", "q": "e + 13", "d": "q + 3", "p": "w + 15", "g": "p + 18", "n": "g + 4", "f": "n + 19", "s": "f + 9", "r": "s + 18", "w": 3}, "premises": {"w": 3}, "target": "d"}, "answer": {"steps": [["q", "e + 13", "e + 16"], ["e", "o + 7", "o + 23"], ["o", "u + 10", "u + 33"], ["u", "k + 17", "k + 50"], ["k", "w + 13", "w + 63"], ["w", 3, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"w": 3}, "is_reverse": true}}
| 5,129
| 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 = u + 10; u = k + 17; w = 3; s = f + 9; r = s + 18; p = w + 15; e = o + 7; d = q + 3; q = e + 13; n = g + 4; f = n + 19; g = p + 18; k = w + 13. If w = 3, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 13 to d, which gives d = e + 16.\n2. Substitute e = o + 7 to d, which gives d = o + 23.\n3. Substitute o = u + 10 to d, which gives d = u + 33.\n4. Substitute u = k + 17 to d, which gives d = k + 50.\n5. Substitute k = w + 13 to d, which gives d = w + 63.\n6. Substitute w = 3 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 5129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 10; u = k + 17; w = 3; s = f + 9; r = s + 18; p = w + 15; e = o + 7; d = q + 3; q = e + 13; n = g + 4; f = n + 19; g = p + 18; k = w + 13. If w = 3, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 13", "j": "h + 17", "e": "j + 1", "c": "e + 19", "x": "c + 17", "f": "x + 8", "z": "p + 6", "n": "z + 15", "u": "n + 10", "t": "u + 2", "s": "t + 6", "g": "s + 13", "p": 8}, "premises": {"p": 8}, "target": "f"}, "answer": {"steps": [["x", "c + 17", "c + 25"], ["c", "e + 19", "e + 44"], ["e", "j + 1", "j + 45"], ["j", "h + 17", "h + 62"], ["h", "p + 13", "p + 75"], ["p", 8, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"p": 8}, "is_reverse": true}}
| 5,130
| 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 = e + 19; n = z + 15; j = h + 17; e = j + 1; h = p + 13; x = c + 17; u = n + 10; t = u + 2; z = p + 6; s = t + 6; f = x + 8; p = 8; g = s + 13. If p = 8, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 17 to f, which gives f = c + 25.\n2. Substitute c = e + 19 to f, which gives f = e + 44.\n3. Substitute e = j + 1 to f, which gives f = j + 45.\n4. Substitute j = h + 17 to f, which gives f = h + 62.\n5. Substitute h = p + 13 to f, which gives f = p + 75.\n6. Substitute p = 8 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 5130,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 19; n = z + 15; j = h + 17; e = j + 1; h = p + 13; x = c + 17; u = n + 10; t = u + 2; z = p + 6; s = t + 6; f = x + 8; p = 8; g = s + 13. If p = 8, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 2", "g": "w + 1", "z": "g + 10", "e": "z + 5", "d": "e + 14", "v": "d + 18", "i": "l + 17", "k": "i + 3", "q": "k + 2", "u": "q + 9", "y": "u + 8", "a": "y + 1", "l": 6}, "premises": {"l": 6}, "target": "v"}, "answer": {"steps": [["d", "e + 14", "e + 32"], ["e", "z + 5", "z + 37"], ["z", "g + 10", "g + 47"], ["g", "w + 1", "w + 48"], ["w", "l + 2", "l + 50"], ["l", 6, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"l": 6}, "is_reverse": true}}
| 5,131
| 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 + 18; u = q + 9; d = e + 14; w = l + 2; g = w + 1; e = z + 5; i = l + 17; q = k + 2; l = 6; z = g + 10; y = u + 8; k = i + 3; a = y + 1. If l = 6, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 14 to v, which gives v = e + 32.\n2. Substitute e = z + 5 to v, which gives v = z + 37.\n3. Substitute z = g + 10 to v, which gives v = g + 47.\n4. Substitute g = w + 1 to v, which gives v = w + 48.\n5. Substitute w = l + 2 to v, which gives v = l + 50.\n6. Substitute l = 6 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 5131,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 18; u = q + 9; d = e + 14; w = l + 2; g = w + 1; e = z + 5; i = l + 17; q = k + 2; l = 6; z = g + 10; y = u + 8; k = i + 3; a = y + 1. If l = 6, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 19", "g": "h + 2", "r": "g + 12", "c": "r + 12", "p": "c + 10", "q": "p + 19", "x": "o + 13", "n": "x + 8", "k": "n + 12", "d": "k + 1", "z": "d + 10", "b": "z + 3", "o": 8}, "premises": {"o": 8}, "target": "q"}, "answer": {"steps": [["p", "c + 10", "c + 29"], ["c", "r + 12", "r + 41"], ["r", "g + 12", "g + 53"], ["g", "h + 2", "h + 55"], ["h", "o + 19", "o + 74"], ["o", 8, "82"]], "target_var_name": "q", "target_value": 82, "value_dict": {"o": 8}, "is_reverse": true}}
| 5,132
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = o + 13; c = r + 12; h = o + 19; n = x + 8; p = c + 10; k = n + 12; o = 8; r = g + 12; q = p + 19; g = h + 2; b = z + 3; d = k + 1; z = d + 10. If o = 8, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 10 to q, which gives q = c + 29.\n2. Substitute c = r + 12 to q, which gives q = r + 41.\n3. Substitute r = g + 12 to q, which gives q = g + 53.\n4. Substitute g = h + 2 to q, which gives q = h + 55.\n5. Substitute h = o + 19 to q, which gives q = o + 74.\n6. Substitute o = 8 to q, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 5132,
"question": "Consider a system of variables where each variable is defined as follows: x = o + 13; c = r + 12; h = o + 19; n = x + 8; p = c + 10; k = n + 12; o = 8; r = g + 12; q = p + 19; g = h + 2; b = z + 3; d = k + 1; z = d + 10. If o = 8, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 11", "d": "i + 8", "l": "d + 6", "p": "l + 18", "y": "p + 16", "j": "y + 15", "f": "m + 11", "s": "f + 1", "b": "s + 6", "v": "b + 12", "o": "v + 14", "e": "o + 4", "m": 20}, "premises": {"m": 20}, "target": "j"}, "answer": {"steps": [["y", "p + 16", "p + 31"], ["p", "l + 18", "l + 49"], ["l", "d + 6", "d + 55"], ["d", "i + 8", "i + 63"], ["i", "m + 11", "m + 74"], ["m", 20, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"m": 20}, "is_reverse": true}}
| 5,133
| 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 = 20; e = o + 4; i = m + 11; f = m + 11; v = b + 12; d = i + 8; l = d + 6; y = p + 16; j = y + 15; o = v + 14; b = s + 6; p = l + 18; s = f + 1. If m = 20, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 16 to j, which gives j = p + 31.\n2. Substitute p = l + 18 to j, which gives j = l + 49.\n3. Substitute l = d + 6 to j, which gives j = d + 55.\n4. Substitute d = i + 8 to j, which gives j = i + 63.\n5. Substitute i = m + 11 to j, which gives j = m + 74.\n6. Substitute m = 20 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 5133,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 20; e = o + 4; i = m + 11; f = m + 11; v = b + 12; d = i + 8; l = d + 6; y = p + 16; j = y + 15; o = v + 14; b = s + 6; p = l + 18; s = f + 1. If m = 20, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 1", "l": "h + 9", "a": "l + 2", "i": "a + 5", "g": "i + 14", "w": "g + 10", "m": "t + 1", "j": "m + 4", "f": "j + 6", "d": "f + 16", "s": "d + 8", "r": "s + 2", "t": 10}, "premises": {"t": 10}, "target": "w"}, "answer": {"steps": [["g", "i + 14", "i + 24"], ["i", "a + 5", "a + 29"], ["a", "l + 2", "l + 31"], ["l", "h + 9", "h + 40"], ["h", "t + 1", "t + 41"], ["t", 10, "51"]], "target_var_name": "w", "target_value": 51, "value_dict": {"t": 10}, "is_reverse": true}}
| 5,134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 2; h = t + 1; t = 10; l = h + 9; f = j + 6; j = m + 4; i = a + 5; d = f + 16; r = s + 2; w = g + 10; s = d + 8; m = t + 1; g = i + 14. If t = 10, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 14 to w, which gives w = i + 24.\n2. Substitute i = a + 5 to w, which gives w = a + 29.\n3. Substitute a = l + 2 to w, which gives w = l + 31.\n4. Substitute l = h + 9 to w, which gives w = h + 40.\n5. Substitute h = t + 1 to w, which gives w = t + 41.\n6. Substitute t = 10 to w, which gives w = 51.\n\nThus, the final answer is w = \\boxed{51}.",
"index": 5134,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 2; h = t + 1; t = 10; l = h + 9; f = j + 6; j = m + 4; i = a + 5; d = f + 16; r = s + 2; w = g + 10; s = d + 8; m = t + 1; g = i + 14. If t = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 17", "u": "q + 9", "k": "u + 3", "c": "k + 6", "d": "c + 4", "t": "d + 7", "v": "m + 17", "o": "v + 15", "n": "o + 1", "x": "n + 20", "r": "x + 11", "p": "r + 6", "m": 9}, "premises": {"m": 9}, "target": "t"}, "answer": {"steps": [["d", "c + 4", "c + 11"], ["c", "k + 6", "k + 17"], ["k", "u + 3", "u + 20"], ["u", "q + 9", "q + 29"], ["q", "m + 17", "m + 46"], ["m", 9, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"m": 9}, "is_reverse": true}}
| 5,135
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 17; m = 9; v = m + 17; k = u + 3; o = v + 15; n = o + 1; r = x + 11; t = d + 7; x = n + 20; c = k + 6; d = c + 4; p = r + 6; u = q + 9. If m = 9, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 4 to t, which gives t = c + 11.\n2. Substitute c = k + 6 to t, which gives t = k + 17.\n3. Substitute k = u + 3 to t, which gives t = u + 20.\n4. Substitute u = q + 9 to t, which gives t = q + 29.\n5. Substitute q = m + 17 to t, which gives t = m + 46.\n6. Substitute m = 9 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 5135,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 17; m = 9; v = m + 17; k = u + 3; o = v + 15; n = o + 1; r = x + 11; t = d + 7; x = n + 20; c = k + 6; d = c + 4; p = r + 6; u = q + 9. If m = 9, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 19", "f": "g + 10", "t": "f + 1", "w": "t + 8", "z": "w + 14", "b": "z + 6", "e": "a + 18", "u": "e + 3", "l": "u + 12", "k": "l + 17", "x": "k + 4", "i": "x + 7", "a": 2}, "premises": {"a": 2}, "target": "b"}, "answer": {"steps": [["z", "w + 14", "w + 20"], ["w", "t + 8", "t + 28"], ["t", "f + 1", "f + 29"], ["f", "g + 10", "g + 39"], ["g", "a + 19", "a + 58"], ["a", 2, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"a": 2}, "is_reverse": true}}
| 5,136
| 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 + 17; w = t + 8; u = e + 3; a = 2; t = f + 1; l = u + 12; z = w + 14; x = k + 4; i = x + 7; b = z + 6; e = a + 18; f = g + 10; g = a + 19. If a = 2, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 14 to b, which gives b = w + 20.\n2. Substitute w = t + 8 to b, which gives b = t + 28.\n3. Substitute t = f + 1 to b, which gives b = f + 29.\n4. Substitute f = g + 10 to b, which gives b = g + 39.\n5. Substitute g = a + 19 to b, which gives b = a + 58.\n6. Substitute a = 2 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 5136,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 17; w = t + 8; u = e + 3; a = 2; t = f + 1; l = u + 12; z = w + 14; x = k + 4; i = x + 7; b = z + 6; e = a + 18; f = g + 10; g = a + 19. If a = 2, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 7", "e": "n + 1", "g": "e + 9", "l": "g + 15", "y": "l + 9", "s": "y + 17", "k": "c + 20", "m": "k + 12", "i": "m + 3", "x": "i + 1", "o": "x + 20", "t": "o + 7", "c": 19}, "premises": {"c": 19}, "target": "s"}, "answer": {"steps": [["y", "l + 9", "l + 26"], ["l", "g + 15", "g + 41"], ["g", "e + 9", "e + 50"], ["e", "n + 1", "n + 51"], ["n", "c + 7", "c + 58"], ["c", 19, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"c": 19}, "is_reverse": true}}
| 5,137
| 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 = g + 15; o = x + 20; s = y + 17; t = o + 7; k = c + 20; x = i + 1; e = n + 1; y = l + 9; n = c + 7; g = e + 9; c = 19; i = m + 3; m = k + 12. If c = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 9 to s, which gives s = l + 26.\n2. Substitute l = g + 15 to s, which gives s = g + 41.\n3. Substitute g = e + 9 to s, which gives s = e + 50.\n4. Substitute e = n + 1 to s, which gives s = n + 51.\n5. Substitute n = c + 7 to s, which gives s = c + 58.\n6. Substitute c = 19 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 5137,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 15; o = x + 20; s = y + 17; t = o + 7; k = c + 20; x = i + 1; e = n + 1; y = l + 9; n = c + 7; g = e + 9; c = 19; i = m + 3; m = k + 12. If c = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 2", "j": "x + 2", "v": "j + 18", "p": "v + 13", "s": "p + 5", "o": "s + 7", "m": "c + 11", "z": "m + 5", "n": "z + 15", "a": "n + 8", "u": "a + 19", "f": "u + 4", "c": 2}, "premises": {"c": 2}, "target": "o"}, "answer": {"steps": [["s", "p + 5", "p + 12"], ["p", "v + 13", "v + 25"], ["v", "j + 18", "j + 43"], ["j", "x + 2", "x + 45"], ["x", "c + 2", "c + 47"], ["c", 2, "49"]], "target_var_name": "o", "target_value": 49, "value_dict": {"c": 2}, "is_reverse": true}}
| 5,138
| 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 = j + 18; u = a + 19; c = 2; p = v + 13; f = u + 4; n = z + 15; a = n + 8; m = c + 11; o = s + 7; s = p + 5; x = c + 2; j = x + 2; z = m + 5. If c = 2, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 5 to o, which gives o = p + 12.\n2. Substitute p = v + 13 to o, which gives o = v + 25.\n3. Substitute v = j + 18 to o, which gives o = j + 43.\n4. Substitute j = x + 2 to o, which gives o = x + 45.\n5. Substitute x = c + 2 to o, which gives o = c + 47.\n6. Substitute c = 2 to o, which gives o = 49.\n\nThus, the final answer is o = \\boxed{49}.",
"index": 5138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 18; u = a + 19; c = 2; p = v + 13; f = u + 4; n = z + 15; a = n + 8; m = c + 11; o = s + 7; s = p + 5; x = c + 2; j = x + 2; z = m + 5. If c = 2, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 8", "t": "n + 6", "m": "t + 5", "j": "m + 2", "v": "j + 13", "d": "v + 1", "o": "l + 2", "u": "o + 18", "p": "u + 3", "x": "p + 8", "y": "x + 6", "k": "y + 10", "l": 20}, "premises": {"l": 20}, "target": "d"}, "answer": {"steps": [["v", "j + 13", "j + 14"], ["j", "m + 2", "m + 16"], ["m", "t + 5", "t + 21"], ["t", "n + 6", "n + 27"], ["n", "l + 8", "l + 35"], ["l", 20, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"l": 20}, "is_reverse": true}}
| 5,139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 3; d = v + 1; k = y + 10; n = l + 8; u = o + 18; v = j + 13; x = p + 8; m = t + 5; t = n + 6; j = m + 2; l = 20; o = l + 2; y = x + 6. Given that l = 20, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 13 to d, which gives d = j + 14.\n2. Substitute j = m + 2 to d, which gives d = m + 16.\n3. Substitute m = t + 5 to d, which gives d = t + 21.\n4. Substitute t = n + 6 to d, which gives d = n + 27.\n5. Substitute n = l + 8 to d, which gives d = l + 35.\n6. Substitute l = 20 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 5139,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 3; d = v + 1; k = y + 10; n = l + 8; u = o + 18; v = j + 13; x = p + 8; m = t + 5; t = n + 6; j = m + 2; l = 20; o = l + 2; y = x + 6. Given that l = 20, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 7", "l": "b + 8", "g": "l + 17", "f": "g + 14", "v": "f + 19", "s": "v + 18", "q": "h + 9", "n": "q + 9", "j": "n + 13", "w": "j + 13", "d": "w + 18", "p": "d + 12", "h": 9}, "premises": {"h": 9}, "target": "s"}, "answer": {"steps": [["v", "f + 19", "f + 37"], ["f", "g + 14", "g + 51"], ["g", "l + 17", "l + 68"], ["l", "b + 8", "b + 76"], ["b", "h + 7", "h + 83"], ["h", 9, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"h": 9}, "is_reverse": true}}
| 5,140
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = h + 7; n = q + 9; s = v + 18; g = l + 17; q = h + 9; p = d + 12; j = n + 13; v = f + 19; d = w + 18; f = g + 14; w = j + 13; h = 9; l = b + 8. If h = 9, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 19 to s, which gives s = f + 37.\n2. Substitute f = g + 14 to s, which gives s = g + 51.\n3. Substitute g = l + 17 to s, which gives s = l + 68.\n4. Substitute l = b + 8 to s, which gives s = b + 76.\n5. Substitute b = h + 7 to s, which gives s = h + 83.\n6. Substitute h = 9 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 5140,
"question": "Consider a system of variables where each variable is defined as follows: b = h + 7; n = q + 9; s = v + 18; g = l + 17; q = h + 9; p = d + 12; j = n + 13; v = f + 19; d = w + 18; f = g + 14; w = j + 13; h = 9; l = b + 8. If h = 9, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 6", "r": "b + 14", "y": "r + 12", "i": "y + 7", "m": "i + 1", "t": "m + 4", "a": "p + 2", "x": "a + 14", "n": "x + 12", "u": "n + 4", "c": "u + 10", "g": "c + 14", "p": 14}, "premises": {"p": 14}, "target": "t"}, "answer": {"steps": [["m", "i + 1", "i + 5"], ["i", "y + 7", "y + 12"], ["y", "r + 12", "r + 24"], ["r", "b + 14", "b + 38"], ["b", "p + 6", "p + 44"], ["p", 14, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"p": 14}, "is_reverse": true}}
| 5,141
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 4; n = x + 12; m = i + 1; i = y + 7; b = p + 6; t = m + 4; y = r + 12; c = u + 10; a = p + 2; r = b + 14; x = a + 14; g = c + 14; p = 14. If p = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 1 to t, which gives t = i + 5.\n2. Substitute i = y + 7 to t, which gives t = y + 12.\n3. Substitute y = r + 12 to t, which gives t = r + 24.\n4. Substitute r = b + 14 to t, which gives t = b + 38.\n5. Substitute b = p + 6 to t, which gives t = p + 44.\n6. Substitute p = 14 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 5141,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 4; n = x + 12; m = i + 1; i = y + 7; b = p + 6; t = m + 4; y = r + 12; c = u + 10; a = p + 2; r = b + 14; x = a + 14; g = c + 14; p = 14. If p = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"e": "j + 16", "n": "e + 14", "g": "n + 5", "u": "g + 20", "d": "u + 12", "t": "d + 16", "p": "j + 1", "v": "p + 1", "m": "v + 16", "h": "m + 8", "z": "h + 19", "o": "z + 7", "j": 19}, "premises": {"j": 19}, "target": "t"}, "answer": {"steps": [["d", "u + 12", "u + 28"], ["u", "g + 20", "g + 48"], ["g", "n + 5", "n + 53"], ["n", "e + 14", "e + 67"], ["e", "j + 16", "j + 83"], ["j", 19, "102"]], "target_var_name": "t", "target_value": 102, "value_dict": {"j": 19}, "is_reverse": true}}
| 5,142
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 20; d = u + 12; o = z + 7; e = j + 16; m = v + 16; v = p + 1; p = j + 1; g = n + 5; z = h + 19; n = e + 14; h = m + 8; t = d + 16; j = 19. Given that j = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 12 to t, which gives t = u + 28.\n2. Substitute u = g + 20 to t, which gives t = g + 48.\n3. Substitute g = n + 5 to t, which gives t = n + 53.\n4. Substitute n = e + 14 to t, which gives t = e + 67.\n5. Substitute e = j + 16 to t, which gives t = j + 83.\n6. Substitute j = 19 to t, which gives t = 102.\n\nThus, the final answer is t = \\boxed{102}.",
"index": 5142,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 20; d = u + 12; o = z + 7; e = j + 16; m = v + 16; v = p + 1; p = j + 1; g = n + 5; z = h + 19; n = e + 14; h = m + 8; t = d + 16; j = 19. Given that j = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 13", "v": "k + 11", "d": "v + 16", "h": "d + 18", "e": "h + 11", "n": "e + 19", "r": "s + 2", "l": "r + 3", "j": "l + 8", "i": "j + 18", "w": "i + 1", "z": "w + 2", "s": 15}, "premises": {"s": 15}, "target": "n"}, "answer": {"steps": [["e", "h + 11", "h + 30"], ["h", "d + 18", "d + 48"], ["d", "v + 16", "v + 64"], ["v", "k + 11", "k + 75"], ["k", "s + 13", "s + 88"], ["s", 15, "103"]], "target_var_name": "n", "target_value": 103, "value_dict": {"s": 15}, "is_reverse": true}}
| 5,143
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 11; s = 15; l = r + 3; k = s + 13; z = w + 2; d = v + 16; i = j + 18; n = e + 19; w = i + 1; j = l + 8; v = k + 11; r = s + 2; h = d + 18. Given that s = 15, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 11 to n, which gives n = h + 30.\n2. Substitute h = d + 18 to n, which gives n = d + 48.\n3. Substitute d = v + 16 to n, which gives n = v + 64.\n4. Substitute v = k + 11 to n, which gives n = k + 75.\n5. Substitute k = s + 13 to n, which gives n = s + 88.\n6. Substitute s = 15 to n, which gives n = 103.\n\nThus, the final answer is n = \\boxed{103}.",
"index": 5143,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 11; s = 15; l = r + 3; k = s + 13; z = w + 2; d = v + 16; i = j + 18; n = e + 19; w = i + 1; j = l + 8; v = k + 11; r = s + 2; h = d + 18. Given that s = 15, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 19", "g": "t + 7", "j": "g + 13", "r": "j + 19", "w": "r + 7", "x": "w + 10", "p": "y + 10", "h": "p + 2", "a": "h + 18", "e": "a + 18", "i": "e + 20", "k": "i + 6", "y": 12}, "premises": {"y": 12}, "target": "x"}, "answer": {"steps": [["w", "r + 7", "r + 17"], ["r", "j + 19", "j + 36"], ["j", "g + 13", "g + 49"], ["g", "t + 7", "t + 56"], ["t", "y + 19", "y + 75"], ["y", 12, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"y": 12}, "is_reverse": true}}
| 5,144
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 18; j = g + 13; e = a + 18; p = y + 10; g = t + 7; w = r + 7; k = i + 6; y = 12; t = y + 19; x = w + 10; h = p + 2; r = j + 19; i = e + 20. If y = 12, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 7 to x, which gives x = r + 17.\n2. Substitute r = j + 19 to x, which gives x = j + 36.\n3. Substitute j = g + 13 to x, which gives x = g + 49.\n4. Substitute g = t + 7 to x, which gives x = t + 56.\n5. Substitute t = y + 19 to x, which gives x = y + 75.\n6. Substitute y = 12 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 5144,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 18; j = g + 13; e = a + 18; p = y + 10; g = t + 7; w = r + 7; k = i + 6; y = 12; t = y + 19; x = w + 10; h = p + 2; r = j + 19; i = e + 20. If y = 12, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 1", "x": "i + 13", "h": "x + 20", "y": "h + 12", "g": "y + 20", "n": "g + 2", "r": "j + 3", "v": "r + 6", "t": "v + 1", "k": "t + 1", "a": "k + 19", "f": "a + 16", "j": 20}, "premises": {"j": 20}, "target": "n"}, "answer": {"steps": [["g", "y + 20", "y + 22"], ["y", "h + 12", "h + 34"], ["h", "x + 20", "x + 54"], ["x", "i + 13", "i + 67"], ["i", "j + 1", "j + 68"], ["j", 20, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"j": 20}, "is_reverse": true}}
| 5,145
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 1; h = x + 20; j = 20; g = y + 20; k = t + 1; x = i + 13; a = k + 19; f = a + 16; r = j + 3; t = v + 1; n = g + 2; v = r + 6; y = h + 12. Given that j = 20, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 20 to n, which gives n = y + 22.\n2. Substitute y = h + 12 to n, which gives n = h + 34.\n3. Substitute h = x + 20 to n, which gives n = x + 54.\n4. Substitute x = i + 13 to n, which gives n = i + 67.\n5. Substitute i = j + 1 to n, which gives n = j + 68.\n6. Substitute j = 20 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 5145,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 1; h = x + 20; j = 20; g = y + 20; k = t + 1; x = i + 13; a = k + 19; f = a + 16; r = j + 3; t = v + 1; n = g + 2; v = r + 6; y = h + 12. Given that j = 20, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 6", "m": "g + 16", "a": "m + 3", "d": "a + 12", "s": "d + 4", "t": "s + 14", "z": "n + 19", "b": "z + 16", "e": "b + 8", "o": "e + 20", "h": "o + 10", "v": "h + 9", "n": 15}, "premises": {"n": 15}, "target": "t"}, "answer": {"steps": [["s", "d + 4", "d + 18"], ["d", "a + 12", "a + 30"], ["a", "m + 3", "m + 33"], ["m", "g + 16", "g + 49"], ["g", "n + 6", "n + 55"], ["n", 15, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"n": 15}, "is_reverse": true}}
| 5,146
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = 15; t = s + 14; z = n + 19; e = b + 8; a = m + 3; v = h + 9; m = g + 16; g = n + 6; b = z + 16; o = e + 20; h = o + 10; d = a + 12; s = d + 4. If n = 15, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 4 to t, which gives t = d + 18.\n2. Substitute d = a + 12 to t, which gives t = a + 30.\n3. Substitute a = m + 3 to t, which gives t = m + 33.\n4. Substitute m = g + 16 to t, which gives t = g + 49.\n5. Substitute g = n + 6 to t, which gives t = n + 55.\n6. Substitute n = 15 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 5146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 15; t = s + 14; z = n + 19; e = b + 8; a = m + 3; v = h + 9; m = g + 16; g = n + 6; b = z + 16; o = e + 20; h = o + 10; d = a + 12; s = d + 4. If n = 15, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 4", "o": "r + 19", "j": "o + 5", "e": "j + 17", "m": "e + 11", "n": "m + 7", "y": "i + 8", "z": "y + 10", "f": "z + 18", "d": "f + 7", "x": "d + 9", "l": "x + 2", "i": 15}, "premises": {"i": 15}, "target": "n"}, "answer": {"steps": [["m", "e + 11", "e + 18"], ["e", "j + 17", "j + 35"], ["j", "o + 5", "o + 40"], ["o", "r + 19", "r + 59"], ["r", "i + 4", "i + 63"], ["i", 15, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"i": 15}, "is_reverse": true}}
| 5,147
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 7; j = o + 5; x = d + 9; z = y + 10; r = i + 4; m = e + 11; d = f + 7; y = i + 8; o = r + 19; e = j + 17; l = x + 2; f = z + 18; i = 15. If i = 15, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 11 to n, which gives n = e + 18.\n2. Substitute e = j + 17 to n, which gives n = j + 35.\n3. Substitute j = o + 5 to n, which gives n = o + 40.\n4. Substitute o = r + 19 to n, which gives n = r + 59.\n5. Substitute r = i + 4 to n, which gives n = i + 63.\n6. Substitute i = 15 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 5147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 7; j = o + 5; x = d + 9; z = y + 10; r = i + 4; m = e + 11; d = f + 7; y = i + 8; o = r + 19; e = j + 17; l = x + 2; f = z + 18; i = 15. If i = 15, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 3", "n": "b + 11", "m": "n + 3", "f": "m + 6", "i": "f + 10", "q": "i + 14", "x": "y + 18", "t": "x + 18", "u": "t + 4", "s": "u + 4", "j": "s + 20", "g": "j + 13", "y": 1}, "premises": {"y": 1}, "target": "q"}, "answer": {"steps": [["i", "f + 10", "f + 24"], ["f", "m + 6", "m + 30"], ["m", "n + 3", "n + 33"], ["n", "b + 11", "b + 44"], ["b", "y + 3", "y + 47"], ["y", 1, "48"]], "target_var_name": "q", "target_value": 48, "value_dict": {"y": 1}, "is_reverse": true}}
| 5,148
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 11; u = t + 4; i = f + 10; j = s + 20; g = j + 13; y = 1; x = y + 18; s = u + 4; f = m + 6; b = y + 3; m = n + 3; t = x + 18; q = i + 14. If y = 1, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 10 to q, which gives q = f + 24.\n2. Substitute f = m + 6 to q, which gives q = m + 30.\n3. Substitute m = n + 3 to q, which gives q = n + 33.\n4. Substitute n = b + 11 to q, which gives q = b + 44.\n5. Substitute b = y + 3 to q, which gives q = y + 47.\n6. Substitute y = 1 to q, which gives q = 48.\n\nThus, the final answer is q = \\boxed{48}.",
"index": 5148,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 11; u = t + 4; i = f + 10; j = s + 20; g = j + 13; y = 1; x = y + 18; s = u + 4; f = m + 6; b = y + 3; m = n + 3; t = x + 18; q = i + 14. If y = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 3", "z": "s + 10", "j": "z + 20", "v": "j + 10", "t": "v + 8", "q": "t + 18", "b": "f + 19", "l": "b + 4", "n": "l + 18", "i": "n + 17", "a": "i + 10", "y": "a + 1", "f": 20}, "premises": {"f": 20}, "target": "q"}, "answer": {"steps": [["t", "v + 8", "v + 26"], ["v", "j + 10", "j + 36"], ["j", "z + 20", "z + 56"], ["z", "s + 10", "s + 66"], ["s", "f + 3", "f + 69"], ["f", 20, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"f": 20}, "is_reverse": true}}
| 5,149
| 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 = a + 1; a = i + 10; z = s + 10; t = v + 8; l = b + 4; s = f + 3; b = f + 19; q = t + 18; i = n + 17; n = l + 18; j = z + 20; f = 20; v = j + 10. If f = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 8 to q, which gives q = v + 26.\n2. Substitute v = j + 10 to q, which gives q = j + 36.\n3. Substitute j = z + 20 to q, which gives q = z + 56.\n4. Substitute z = s + 10 to q, which gives q = s + 66.\n5. Substitute s = f + 3 to q, which gives q = f + 69.\n6. Substitute f = 20 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 5149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 1; a = i + 10; z = s + 10; t = v + 8; l = b + 4; s = f + 3; b = f + 19; q = t + 18; i = n + 17; n = l + 18; j = z + 20; f = 20; v = j + 10. If f = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 14", "d": "b + 19", "p": "d + 6", "a": "p + 9", "e": "a + 20", "t": "e + 3", "g": "x + 15", "i": "g + 6", "f": "i + 12", "v": "f + 20", "u": "v + 4", "n": "u + 18", "x": 20}, "premises": {"x": 20}, "target": "t"}, "answer": {"steps": [["e", "a + 20", "a + 23"], ["a", "p + 9", "p + 32"], ["p", "d + 6", "d + 38"], ["d", "b + 19", "b + 57"], ["b", "x + 14", "x + 71"], ["x", 20, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"x": 20}, "is_reverse": true}}
| 5,150
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 14; d = b + 19; p = d + 6; i = g + 6; x = 20; v = f + 20; a = p + 9; n = u + 18; e = a + 20; t = e + 3; f = i + 12; g = x + 15; u = v + 4. If x = 20, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 20 to t, which gives t = a + 23.\n2. Substitute a = p + 9 to t, which gives t = p + 32.\n3. Substitute p = d + 6 to t, which gives t = d + 38.\n4. Substitute d = b + 19 to t, which gives t = b + 57.\n5. Substitute b = x + 14 to t, which gives t = x + 71.\n6. Substitute x = 20 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 5150,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 14; d = b + 19; p = d + 6; i = g + 6; x = 20; v = f + 20; a = p + 9; n = u + 18; e = a + 20; t = e + 3; f = i + 12; g = x + 15; u = v + 4. If x = 20, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 9", "n": "i + 2", "p": "n + 17", "d": "p + 20", "t": "d + 9", "k": "t + 15", "j": "z + 15", "o": "j + 5", "g": "o + 8", "f": "g + 7", "l": "f + 12", "u": "l + 5", "z": 8}, "premises": {"z": 8}, "target": "k"}, "answer": {"steps": [["t", "d + 9", "d + 24"], ["d", "p + 20", "p + 44"], ["p", "n + 17", "n + 61"], ["n", "i + 2", "i + 63"], ["i", "z + 9", "z + 72"], ["z", 8, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"z": 8}, "is_reverse": true}}
| 5,151
| 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 = o + 8; z = 8; j = z + 15; k = t + 15; o = j + 5; d = p + 20; p = n + 17; l = f + 12; u = l + 5; t = d + 9; i = z + 9; n = i + 2; f = g + 7. If z = 8, 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 t = d + 9 to k, which gives k = d + 24.\n2. Substitute d = p + 20 to k, which gives k = p + 44.\n3. Substitute p = n + 17 to k, which gives k = n + 61.\n4. Substitute n = i + 2 to k, which gives k = i + 63.\n5. Substitute i = z + 9 to k, which gives k = z + 72.\n6. Substitute z = 8 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 5151,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = o + 8; z = 8; j = z + 15; k = t + 15; o = j + 5; d = p + 20; p = n + 17; l = f + 12; u = l + 5; t = d + 9; i = z + 9; n = i + 2; f = g + 7. If z = 8, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 19", "z": "a + 11", "y": "z + 13", "h": "y + 4", "i": "h + 9", "q": "i + 20", "c": "j + 20", "n": "c + 6", "f": "n + 18", "b": "f + 20", "x": "b + 7", "s": "x + 12", "j": 8}, "premises": {"j": 8}, "target": "q"}, "answer": {"steps": [["i", "h + 9", "h + 29"], ["h", "y + 4", "y + 33"], ["y", "z + 13", "z + 46"], ["z", "a + 11", "a + 57"], ["a", "j + 19", "j + 76"], ["j", 8, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"j": 8}, "is_reverse": true}}
| 5,152
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 19; y = z + 13; b = f + 20; j = 8; f = n + 18; q = i + 20; n = c + 6; s = x + 12; x = b + 7; c = j + 20; h = y + 4; i = h + 9; z = a + 11. If j = 8, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 9 to q, which gives q = h + 29.\n2. Substitute h = y + 4 to q, which gives q = y + 33.\n3. Substitute y = z + 13 to q, which gives q = z + 46.\n4. Substitute z = a + 11 to q, which gives q = a + 57.\n5. Substitute a = j + 19 to q, which gives q = j + 76.\n6. Substitute j = 8 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 5152,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 19; y = z + 13; b = f + 20; j = 8; f = n + 18; q = i + 20; n = c + 6; s = x + 12; x = b + 7; c = j + 20; h = y + 4; i = h + 9; z = a + 11. If j = 8, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 9", "e": "i + 1", "n": "e + 6", "x": "n + 13", "h": "x + 19", "q": "h + 12", "b": "a + 1", "k": "b + 16", "c": "k + 20", "d": "c + 3", "o": "d + 19", "s": "o + 14", "a": 1}, "premises": {"a": 1}, "target": "q"}, "answer": {"steps": [["h", "x + 19", "x + 31"], ["x", "n + 13", "n + 44"], ["n", "e + 6", "e + 50"], ["e", "i + 1", "i + 51"], ["i", "a + 9", "a + 60"], ["a", 1, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"a": 1}, "is_reverse": true}}
| 5,153
| 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 = i + 1; c = k + 20; q = h + 12; s = o + 14; k = b + 16; d = c + 3; x = n + 13; b = a + 1; i = a + 9; h = x + 19; a = 1; o = d + 19; n = e + 6. If a = 1, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 19 to q, which gives q = x + 31.\n2. Substitute x = n + 13 to q, which gives q = n + 44.\n3. Substitute n = e + 6 to q, which gives q = e + 50.\n4. Substitute e = i + 1 to q, which gives q = i + 51.\n5. Substitute i = a + 9 to q, which gives q = a + 60.\n6. Substitute a = 1 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 5153,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 1; c = k + 20; q = h + 12; s = o + 14; k = b + 16; d = c + 3; x = n + 13; b = a + 1; i = a + 9; h = x + 19; a = 1; o = d + 19; n = e + 6. If a = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 3", "a": "f + 4", "j": "a + 19", "d": "j + 18", "x": "d + 6", "k": "x + 5", "i": "q + 3", "r": "i + 8", "b": "r + 6", "c": "b + 1", "e": "c + 4", "z": "e + 13", "q": 9}, "premises": {"q": 9}, "target": "k"}, "answer": {"steps": [["x", "d + 6", "d + 11"], ["d", "j + 18", "j + 29"], ["j", "a + 19", "a + 48"], ["a", "f + 4", "f + 52"], ["f", "q + 3", "q + 55"], ["q", 9, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"q": 9}, "is_reverse": true}}
| 5,154
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = 9; e = c + 4; a = f + 4; b = r + 6; i = q + 3; c = b + 1; x = d + 6; z = e + 13; f = q + 3; r = i + 8; j = a + 19; k = x + 5; d = j + 18. If q = 9, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 6 to k, which gives k = d + 11.\n2. Substitute d = j + 18 to k, which gives k = j + 29.\n3. Substitute j = a + 19 to k, which gives k = a + 48.\n4. Substitute a = f + 4 to k, which gives k = f + 52.\n5. Substitute f = q + 3 to k, which gives k = q + 55.\n6. Substitute q = 9 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 5154,
"question": "Consider a system of variables where each variable is defined as follows: q = 9; e = c + 4; a = f + 4; b = r + 6; i = q + 3; c = b + 1; x = d + 6; z = e + 13; f = q + 3; r = i + 8; j = a + 19; k = x + 5; d = j + 18. If q = 9, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 14", "q": "b + 17", "z": "q + 11", "a": "z + 14", "u": "a + 10", "i": "u + 2", "t": "e + 7", "j": "t + 13", "c": "j + 13", "f": "c + 8", "h": "f + 11", "y": "h + 4", "e": 4}, "premises": {"e": 4}, "target": "i"}, "answer": {"steps": [["u", "a + 10", "a + 12"], ["a", "z + 14", "z + 26"], ["z", "q + 11", "q + 37"], ["q", "b + 17", "b + 54"], ["b", "e + 14", "e + 68"], ["e", 4, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"e": 4}, "is_reverse": true}}
| 5,155
| 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 + 17; t = e + 7; y = h + 4; j = t + 13; i = u + 2; h = f + 11; c = j + 13; e = 4; z = q + 11; f = c + 8; a = z + 14; u = a + 10; b = e + 14. If e = 4, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 10 to i, which gives i = a + 12.\n2. Substitute a = z + 14 to i, which gives i = z + 26.\n3. Substitute z = q + 11 to i, which gives i = q + 37.\n4. Substitute q = b + 17 to i, which gives i = b + 54.\n5. Substitute b = e + 14 to i, which gives i = e + 68.\n6. Substitute e = 4 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 5155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 17; t = e + 7; y = h + 4; j = t + 13; i = u + 2; h = f + 11; c = j + 13; e = 4; z = q + 11; f = c + 8; a = z + 14; u = a + 10; b = e + 14. If e = 4, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 3", "x": "y + 6", "r": "x + 3", "e": "r + 7", "o": "e + 8", "d": "o + 6", "n": "a + 13", "u": "n + 19", "f": "u + 3", "b": "f + 2", "i": "b + 17", "m": "i + 5", "a": 10}, "premises": {"a": 10}, "target": "d"}, "answer": {"steps": [["o", "e + 8", "e + 14"], ["e", "r + 7", "r + 21"], ["r", "x + 3", "x + 24"], ["x", "y + 6", "y + 30"], ["y", "a + 3", "a + 33"], ["a", 10, "43"]], "target_var_name": "d", "target_value": 43, "value_dict": {"a": 10}, "is_reverse": true}}
| 5,156
| 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 = y + 6; r = x + 3; f = u + 3; d = o + 6; i = b + 17; b = f + 2; m = i + 5; o = e + 8; u = n + 19; y = a + 3; a = 10; e = r + 7; n = a + 13. If a = 10, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 8 to d, which gives d = e + 14.\n2. Substitute e = r + 7 to d, which gives d = r + 21.\n3. Substitute r = x + 3 to d, which gives d = x + 24.\n4. Substitute x = y + 6 to d, which gives d = y + 30.\n5. Substitute y = a + 3 to d, which gives d = a + 33.\n6. Substitute a = 10 to d, which gives d = 43.\n\nThus, the final answer is d = \\boxed{43}.",
"index": 5156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 6; r = x + 3; f = u + 3; d = o + 6; i = b + 17; b = f + 2; m = i + 5; o = e + 8; u = n + 19; y = a + 3; a = 10; e = r + 7; n = a + 13. If a = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 6", "i": "d + 16", "s": "i + 18", "r": "s + 17", "e": "r + 10", "f": "e + 17", "a": "w + 15", "p": "a + 2", "g": "p + 2", "x": "g + 13", "o": "x + 5", "v": "o + 12", "w": 15}, "premises": {"w": 15}, "target": "f"}, "answer": {"steps": [["e", "r + 10", "r + 27"], ["r", "s + 17", "s + 44"], ["s", "i + 18", "i + 62"], ["i", "d + 16", "d + 78"], ["d", "w + 6", "w + 84"], ["w", 15, "99"]], "target_var_name": "f", "target_value": 99, "value_dict": {"w": 15}, "is_reverse": true}}
| 5,157
| 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 = g + 13; g = p + 2; o = x + 5; f = e + 17; v = o + 12; d = w + 6; r = s + 17; e = r + 10; s = i + 18; i = d + 16; a = w + 15; w = 15; p = a + 2. If w = 15, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 10 to f, which gives f = r + 27.\n2. Substitute r = s + 17 to f, which gives f = s + 44.\n3. Substitute s = i + 18 to f, which gives f = i + 62.\n4. Substitute i = d + 16 to f, which gives f = d + 78.\n5. Substitute d = w + 6 to f, which gives f = w + 84.\n6. Substitute w = 15 to f, which gives f = 99.\n\nThus, the final answer is f = \\boxed{99}.",
"index": 5157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = g + 13; g = p + 2; o = x + 5; f = e + 17; v = o + 12; d = w + 6; r = s + 17; e = r + 10; s = i + 18; i = d + 16; a = w + 15; w = 15; p = a + 2. If w = 15, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 3", "k": "f + 18", "j": "k + 20", "v": "j + 3", "q": "v + 14", "m": "q + 8", "i": "d + 14", "u": "i + 2", "z": "u + 13", "e": "z + 10", "a": "e + 19", "l": "a + 10", "d": 2}, "premises": {"d": 2}, "target": "m"}, "answer": {"steps": [["q", "v + 14", "v + 22"], ["v", "j + 3", "j + 25"], ["j", "k + 20", "k + 45"], ["k", "f + 18", "f + 63"], ["f", "d + 3", "d + 66"], ["d", 2, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"d": 2}, "is_reverse": true}}
| 5,158
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 3; e = z + 10; d = 2; q = v + 14; j = k + 20; k = f + 18; u = i + 2; a = e + 19; l = a + 10; v = j + 3; m = q + 8; z = u + 13; i = d + 14. If d = 2, determine 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 q = v + 14 to m, which gives m = v + 22.\n2. Substitute v = j + 3 to m, which gives m = j + 25.\n3. Substitute j = k + 20 to m, which gives m = k + 45.\n4. Substitute k = f + 18 to m, which gives m = f + 63.\n5. Substitute f = d + 3 to m, which gives m = d + 66.\n6. Substitute d = 2 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 5158,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 3; e = z + 10; d = 2; q = v + 14; j = k + 20; k = f + 18; u = i + 2; a = e + 19; l = a + 10; v = j + 3; m = q + 8; z = u + 13; i = d + 14. If d = 2, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 11", "t": "n + 11", "r": "t + 14", "a": "r + 1", "o": "a + 17", "z": "o + 5", "e": "l + 17", "x": "e + 5", "c": "x + 18", "f": "c + 8", "i": "f + 2", "s": "i + 18", "l": 1}, "premises": {"l": 1}, "target": "z"}, "answer": {"steps": [["o", "a + 17", "a + 22"], ["a", "r + 1", "r + 23"], ["r", "t + 14", "t + 37"], ["t", "n + 11", "n + 48"], ["n", "l + 11", "l + 59"], ["l", 1, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"l": 1}, "is_reverse": true}}
| 5,159
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 1; t = n + 11; e = l + 17; x = e + 5; n = l + 11; z = o + 5; a = r + 1; r = t + 14; c = x + 18; i = f + 2; s = i + 18; f = c + 8; o = a + 17. If l = 1, determine 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 o = a + 17 to z, which gives z = a + 22.\n2. Substitute a = r + 1 to z, which gives z = r + 23.\n3. Substitute r = t + 14 to z, which gives z = t + 37.\n4. Substitute t = n + 11 to z, which gives z = n + 48.\n5. Substitute n = l + 11 to z, which gives z = l + 59.\n6. Substitute l = 1 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 5159,
"question": "Consider a system of variables where each variable is defined as follows: l = 1; t = n + 11; e = l + 17; x = e + 5; n = l + 11; z = o + 5; a = r + 1; r = t + 14; c = x + 18; i = f + 2; s = i + 18; f = c + 8; o = a + 17. If l = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 20", "y": "g + 8", "a": "y + 9", "q": "a + 4", "x": "q + 15", "h": "x + 18", "e": "n + 7", "b": "e + 17", "z": "b + 7", "j": "z + 15", "f": "j + 2", "p": "f + 8", "n": 6}, "premises": {"n": 6}, "target": "h"}, "answer": {"steps": [["x", "q + 15", "q + 33"], ["q", "a + 4", "a + 37"], ["a", "y + 9", "y + 46"], ["y", "g + 8", "g + 54"], ["g", "n + 20", "n + 74"], ["n", 6, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"n": 6}, "is_reverse": true}}
| 5,160
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = 6; g = n + 20; z = b + 7; j = z + 15; p = f + 8; h = x + 18; f = j + 2; e = n + 7; y = g + 8; x = q + 15; a = y + 9; b = e + 17; q = a + 4. If n = 6, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 15 to h, which gives h = q + 33.\n2. Substitute q = a + 4 to h, which gives h = a + 37.\n3. Substitute a = y + 9 to h, which gives h = y + 46.\n4. Substitute y = g + 8 to h, which gives h = g + 54.\n5. Substitute g = n + 20 to h, which gives h = n + 74.\n6. Substitute n = 6 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 5160,
"question": "Consider a system of variables where each variable is defined as follows: n = 6; g = n + 20; z = b + 7; j = z + 15; p = f + 8; h = x + 18; f = j + 2; e = n + 7; y = g + 8; x = q + 15; a = y + 9; b = e + 17; q = a + 4. If n = 6, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 10", "v": "a + 19", "f": "v + 12", "n": "f + 14", "t": "n + 5", "y": "t + 13", "s": "h + 1", "u": "s + 20", "l": "u + 18", "c": "l + 16", "i": "c + 20", "o": "i + 1", "h": 14}, "premises": {"h": 14}, "target": "y"}, "answer": {"steps": [["t", "n + 5", "n + 18"], ["n", "f + 14", "f + 32"], ["f", "v + 12", "v + 44"], ["v", "a + 19", "a + 63"], ["a", "h + 10", "h + 73"], ["h", 14, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"h": 14}, "is_reverse": true}}
| 5,161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = f + 14; o = i + 1; u = s + 20; i = c + 20; a = h + 10; f = v + 12; v = a + 19; h = 14; s = h + 1; t = n + 5; c = l + 16; l = u + 18; y = t + 13. If h = 14, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 5 to y, which gives y = n + 18.\n2. Substitute n = f + 14 to y, which gives y = f + 32.\n3. Substitute f = v + 12 to y, which gives y = v + 44.\n4. Substitute v = a + 19 to y, which gives y = a + 63.\n5. Substitute a = h + 10 to y, which gives y = h + 73.\n6. Substitute h = 14 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 5161,
"question": "Consider a system of variables where each variable is defined as follows: n = f + 14; o = i + 1; u = s + 20; i = c + 20; a = h + 10; f = v + 12; v = a + 19; h = 14; s = h + 1; t = n + 5; c = l + 16; l = u + 18; y = t + 13. If h = 14, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 14", "c": "m + 1", "q": "c + 12", "i": "q + 17", "u": "i + 19", "r": "u + 18", "n": "x + 10", "a": "n + 20", "f": "a + 5", "d": "f + 9", "b": "d + 2", "k": "b + 3", "x": 15}, "premises": {"x": 15}, "target": "r"}, "answer": {"steps": [["u", "i + 19", "i + 37"], ["i", "q + 17", "q + 54"], ["q", "c + 12", "c + 66"], ["c", "m + 1", "m + 67"], ["m", "x + 14", "x + 81"], ["x", 15, "96"]], "target_var_name": "r", "target_value": 96, "value_dict": {"x": 15}, "is_reverse": true}}
| 5,162
| 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 = x + 14; u = i + 19; b = d + 2; r = u + 18; q = c + 12; c = m + 1; x = 15; i = q + 17; a = n + 20; n = x + 10; d = f + 9; k = b + 3; f = a + 5. If x = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 19 to r, which gives r = i + 37.\n2. Substitute i = q + 17 to r, which gives r = q + 54.\n3. Substitute q = c + 12 to r, which gives r = c + 66.\n4. Substitute c = m + 1 to r, which gives r = m + 67.\n5. Substitute m = x + 14 to r, which gives r = x + 81.\n6. Substitute x = 15 to r, which gives r = 96.\n\nThus, the final answer is r = \\boxed{96}.",
"index": 5162,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 14; u = i + 19; b = d + 2; r = u + 18; q = c + 12; c = m + 1; x = 15; i = q + 17; a = n + 20; n = x + 10; d = f + 9; k = b + 3; f = a + 5. If x = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 14", "h": "u + 1", "w": "h + 8", "z": "w + 16", "f": "z + 17", "d": "f + 11", "x": "s + 1", "k": "x + 7", "l": "k + 4", "t": "l + 18", "p": "t + 7", "v": "p + 11", "s": 15}, "premises": {"s": 15}, "target": "d"}, "answer": {"steps": [["f", "z + 17", "z + 28"], ["z", "w + 16", "w + 44"], ["w", "h + 8", "h + 52"], ["h", "u + 1", "u + 53"], ["u", "s + 14", "s + 67"], ["s", 15, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"s": 15}, "is_reverse": true}}
| 5,163
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 18; h = u + 1; p = t + 7; l = k + 4; u = s + 14; w = h + 8; v = p + 11; z = w + 16; f = z + 17; x = s + 1; k = x + 7; d = f + 11; s = 15. Given that s = 15, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 17 to d, which gives d = z + 28.\n2. Substitute z = w + 16 to d, which gives d = w + 44.\n3. Substitute w = h + 8 to d, which gives d = h + 52.\n4. Substitute h = u + 1 to d, which gives d = u + 53.\n5. Substitute u = s + 14 to d, which gives d = s + 67.\n6. Substitute s = 15 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 5163,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 18; h = u + 1; p = t + 7; l = k + 4; u = s + 14; w = h + 8; v = p + 11; z = w + 16; f = z + 17; x = s + 1; k = x + 7; d = f + 11; s = 15. Given that s = 15, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 14", "g": "d + 13", "r": "g + 19", "v": "r + 15", "a": "v + 7", "q": "a + 18", "h": "b + 18", "u": "h + 9", "y": "u + 15", "z": "y + 3", "e": "z + 6", "o": "e + 10", "b": 1}, "premises": {"b": 1}, "target": "q"}, "answer": {"steps": [["a", "v + 7", "v + 25"], ["v", "r + 15", "r + 40"], ["r", "g + 19", "g + 59"], ["g", "d + 13", "d + 72"], ["d", "b + 14", "b + 86"], ["b", 1, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"b": 1}, "is_reverse": true}}
| 5,164
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 1; y = u + 15; v = r + 15; r = g + 19; q = a + 18; g = d + 13; z = y + 3; d = b + 14; o = e + 10; e = z + 6; a = v + 7; u = h + 9; h = b + 18. If b = 1, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 7 to q, which gives q = v + 25.\n2. Substitute v = r + 15 to q, which gives q = r + 40.\n3. Substitute r = g + 19 to q, which gives q = g + 59.\n4. Substitute g = d + 13 to q, which gives q = d + 72.\n5. Substitute d = b + 14 to q, which gives q = b + 86.\n6. Substitute b = 1 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 5164,
"question": "Consider a system of variables where each variable is defined as follows: b = 1; y = u + 15; v = r + 15; r = g + 19; q = a + 18; g = d + 13; z = y + 3; d = b + 14; o = e + 10; e = z + 6; a = v + 7; u = h + 9; h = b + 18. If b = 1, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 11", "y": "q + 1", "x": "y + 4", "n": "x + 8", "v": "n + 3", "g": "v + 6", "e": "h + 9", "s": "e + 3", "i": "s + 19", "k": "i + 2", "u": "k + 12", "w": "u + 13", "h": 12}, "premises": {"h": 12}, "target": "g"}, "answer": {"steps": [["v", "n + 3", "n + 9"], ["n", "x + 8", "x + 17"], ["x", "y + 4", "y + 21"], ["y", "q + 1", "q + 22"], ["q", "h + 11", "h + 33"], ["h", 12, "45"]], "target_var_name": "g", "target_value": 45, "value_dict": {"h": 12}, "is_reverse": true}}
| 5,165
| 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 = h + 9; v = n + 3; s = e + 3; x = y + 4; u = k + 12; n = x + 8; i = s + 19; y = q + 1; w = u + 13; q = h + 11; k = i + 2; g = v + 6; h = 12. If h = 12, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 3 to g, which gives g = n + 9.\n2. Substitute n = x + 8 to g, which gives g = x + 17.\n3. Substitute x = y + 4 to g, which gives g = y + 21.\n4. Substitute y = q + 1 to g, which gives g = q + 22.\n5. Substitute q = h + 11 to g, which gives g = h + 33.\n6. Substitute h = 12 to g, which gives g = 45.\n\nThus, the final answer is g = \\boxed{45}.",
"index": 5165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 9; v = n + 3; s = e + 3; x = y + 4; u = k + 12; n = x + 8; i = s + 19; y = q + 1; w = u + 13; q = h + 11; k = i + 2; g = v + 6; h = 12. If h = 12, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 12", "n": "q + 13", "a": "n + 16", "j": "a + 19", "d": "j + 18", "w": "d + 13", "i": "m + 8", "t": "i + 8", "z": "t + 10", "r": "z + 5", "u": "r + 11", "p": "u + 15", "m": 18}, "premises": {"m": 18}, "target": "w"}, "answer": {"steps": [["d", "j + 18", "j + 31"], ["j", "a + 19", "a + 50"], ["a", "n + 16", "n + 66"], ["n", "q + 13", "q + 79"], ["q", "m + 12", "m + 91"], ["m", 18, "109"]], "target_var_name": "w", "target_value": 109, "value_dict": {"m": 18}, "is_reverse": true}}
| 5,166
| 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 = m + 8; u = r + 11; q = m + 12; w = d + 13; t = i + 8; d = j + 18; n = q + 13; z = t + 10; p = u + 15; r = z + 5; a = n + 16; j = a + 19; m = 18. If m = 18, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 18 to w, which gives w = j + 31.\n2. Substitute j = a + 19 to w, which gives w = a + 50.\n3. Substitute a = n + 16 to w, which gives w = n + 66.\n4. Substitute n = q + 13 to w, which gives w = q + 79.\n5. Substitute q = m + 12 to w, which gives w = m + 91.\n6. Substitute m = 18 to w, which gives w = 109.\n\nThus, the final answer is w = \\boxed{109}.",
"index": 5166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 8; u = r + 11; q = m + 12; w = d + 13; t = i + 8; d = j + 18; n = q + 13; z = t + 10; p = u + 15; r = z + 5; a = n + 16; j = a + 19; m = 18. If m = 18, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 20", "c": "b + 14", "t": "c + 15", "g": "t + 8", "a": "g + 17", "e": "a + 17", "l": "h + 2", "i": "l + 2", "p": "i + 10", "o": "p + 5", "j": "o + 1", "w": "j + 3", "h": 19}, "premises": {"h": 19}, "target": "e"}, "answer": {"steps": [["a", "g + 17", "g + 34"], ["g", "t + 8", "t + 42"], ["t", "c + 15", "c + 57"], ["c", "b + 14", "b + 71"], ["b", "h + 20", "h + 91"], ["h", 19, "110"]], "target_var_name": "e", "target_value": 110, "value_dict": {"h": 19}, "is_reverse": true}}
| 5,167
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 3; e = a + 17; h = 19; t = c + 15; g = t + 8; l = h + 2; i = l + 2; j = o + 1; p = i + 10; o = p + 5; b = h + 20; a = g + 17; c = b + 14. Given that h = 19, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 110,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 17 to e, which gives e = g + 34.\n2. Substitute g = t + 8 to e, which gives e = t + 42.\n3. Substitute t = c + 15 to e, which gives e = c + 57.\n4. Substitute c = b + 14 to e, which gives e = b + 71.\n5. Substitute b = h + 20 to e, which gives e = h + 91.\n6. Substitute h = 19 to e, which gives e = 110.\n\nThus, the final answer is e = \\boxed{110}.",
"index": 5167,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 3; e = a + 17; h = 19; t = c + 15; g = t + 8; l = h + 2; i = l + 2; j = o + 1; p = i + 10; o = p + 5; b = h + 20; a = g + 17; c = b + 14. Given that h = 19, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 7", "z": "i + 5", "x": "z + 8", "e": "x + 15", "d": "e + 20", "j": "d + 3", "s": "f + 14", "o": "s + 12", "q": "o + 19", "h": "q + 10", "g": "h + 13", "c": "g + 11", "f": 1}, "premises": {"f": 1}, "target": "j"}, "answer": {"steps": [["d", "e + 20", "e + 23"], ["e", "x + 15", "x + 38"], ["x", "z + 8", "z + 46"], ["z", "i + 5", "i + 51"], ["i", "f + 7", "f + 58"], ["f", 1, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"f": 1}, "is_reverse": true}}
| 5,168
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 10; e = x + 15; f = 1; i = f + 7; s = f + 14; g = h + 13; d = e + 20; j = d + 3; c = g + 11; q = o + 19; o = s + 12; z = i + 5; x = z + 8. If f = 1, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 20 to j, which gives j = e + 23.\n2. Substitute e = x + 15 to j, which gives j = x + 38.\n3. Substitute x = z + 8 to j, which gives j = z + 46.\n4. Substitute z = i + 5 to j, which gives j = i + 51.\n5. Substitute i = f + 7 to j, which gives j = f + 58.\n6. Substitute f = 1 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 5168,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 10; e = x + 15; f = 1; i = f + 7; s = f + 14; g = h + 13; d = e + 20; j = d + 3; c = g + 11; q = o + 19; o = s + 12; z = i + 5; x = z + 8. If f = 1, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 10", "w": "l + 20", "k": "w + 8", "x": "k + 12", "f": "x + 2", "p": "f + 15", "u": "n + 11", "b": "u + 4", "y": "b + 9", "o": "y + 2", "t": "o + 12", "i": "t + 12", "n": 15}, "premises": {"n": 15}, "target": "p"}, "answer": {"steps": [["f", "x + 2", "x + 17"], ["x", "k + 12", "k + 29"], ["k", "w + 8", "w + 37"], ["w", "l + 20", "l + 57"], ["l", "n + 10", "n + 67"], ["n", 15, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"n": 15}, "is_reverse": true}}
| 5,169
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 10; f = x + 2; w = l + 20; o = y + 2; b = u + 4; p = f + 15; u = n + 11; i = t + 12; y = b + 9; t = o + 12; k = w + 8; x = k + 12; n = 15. If n = 15, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 2 to p, which gives p = x + 17.\n2. Substitute x = k + 12 to p, which gives p = k + 29.\n3. Substitute k = w + 8 to p, which gives p = w + 37.\n4. Substitute w = l + 20 to p, which gives p = l + 57.\n5. Substitute l = n + 10 to p, which gives p = n + 67.\n6. Substitute n = 15 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 5169,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 10; f = x + 2; w = l + 20; o = y + 2; b = u + 4; p = f + 15; u = n + 11; i = t + 12; y = b + 9; t = o + 12; k = w + 8; x = k + 12; n = 15. If n = 15, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 5", "x": "f + 12", "j": "x + 11", "t": "j + 1", "u": "t + 4", "c": "u + 6", "q": "v + 14", "i": "q + 2", "k": "i + 16", "o": "k + 7", "n": "o + 20", "m": "n + 15", "v": 1}, "premises": {"v": 1}, "target": "c"}, "answer": {"steps": [["u", "t + 4", "t + 10"], ["t", "j + 1", "j + 11"], ["j", "x + 11", "x + 22"], ["x", "f + 12", "f + 34"], ["f", "v + 5", "v + 39"], ["v", 1, "40"]], "target_var_name": "c", "target_value": 40, "value_dict": {"v": 1}, "is_reverse": true}}
| 5,170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 20; t = j + 1; q = v + 14; m = n + 15; c = u + 6; o = k + 7; k = i + 16; j = x + 11; f = v + 5; v = 1; u = t + 4; x = f + 12; i = q + 2. If v = 1, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 4 to c, which gives c = t + 10.\n2. Substitute t = j + 1 to c, which gives c = j + 11.\n3. Substitute j = x + 11 to c, which gives c = x + 22.\n4. Substitute x = f + 12 to c, which gives c = f + 34.\n5. Substitute f = v + 5 to c, which gives c = v + 39.\n6. Substitute v = 1 to c, which gives c = 40.\n\nThus, the final answer is c = \\boxed{40}.",
"index": 5170,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 20; t = j + 1; q = v + 14; m = n + 15; c = u + 6; o = k + 7; k = i + 16; j = x + 11; f = v + 5; v = 1; u = t + 4; x = f + 12; i = q + 2. If v = 1, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 16", "m": "j + 4", "o": "m + 10", "p": "o + 16", "c": "p + 12", "v": "c + 8", "t": "s + 13", "u": "t + 7", "i": "u + 3", "h": "i + 16", "d": "h + 15", "y": "d + 19", "s": 15}, "premises": {"s": 15}, "target": "v"}, "answer": {"steps": [["c", "p + 12", "p + 20"], ["p", "o + 16", "o + 36"], ["o", "m + 10", "m + 46"], ["m", "j + 4", "j + 50"], ["j", "s + 16", "s + 66"], ["s", 15, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"s": 15}, "is_reverse": true}}
| 5,171
| 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 = m + 10; v = c + 8; d = h + 15; h = i + 16; c = p + 12; j = s + 16; y = d + 19; p = o + 16; t = s + 13; u = t + 7; m = j + 4; i = u + 3; s = 15. If s = 15, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 12 to v, which gives v = p + 20.\n2. Substitute p = o + 16 to v, which gives v = o + 36.\n3. Substitute o = m + 10 to v, which gives v = m + 46.\n4. Substitute m = j + 4 to v, which gives v = j + 50.\n5. Substitute j = s + 16 to v, which gives v = s + 66.\n6. Substitute s = 15 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 5171,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 10; v = c + 8; d = h + 15; h = i + 16; c = p + 12; j = s + 16; y = d + 19; p = o + 16; t = s + 13; u = t + 7; m = j + 4; i = u + 3; s = 15. If s = 15, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 6", "s": "k + 8", "y": "s + 5", "i": "y + 10", "j": "i + 17", "w": "j + 10", "h": "a + 19", "z": "h + 13", "n": "z + 6", "x": "n + 12", "f": "x + 19", "e": "f + 7", "a": 1}, "premises": {"a": 1}, "target": "w"}, "answer": {"steps": [["j", "i + 17", "i + 27"], ["i", "y + 10", "y + 37"], ["y", "s + 5", "s + 42"], ["s", "k + 8", "k + 50"], ["k", "a + 6", "a + 56"], ["a", 1, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"a": 1}, "is_reverse": true}}
| 5,172
| 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 = f + 7; y = s + 5; i = y + 10; z = h + 13; k = a + 6; s = k + 8; w = j + 10; h = a + 19; a = 1; n = z + 6; f = x + 19; x = n + 12; j = i + 17. If a = 1, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 17 to w, which gives w = i + 27.\n2. Substitute i = y + 10 to w, which gives w = y + 37.\n3. Substitute y = s + 5 to w, which gives w = s + 42.\n4. Substitute s = k + 8 to w, which gives w = k + 50.\n5. Substitute k = a + 6 to w, which gives w = a + 56.\n6. Substitute a = 1 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 5172,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 7; y = s + 5; i = y + 10; z = h + 13; k = a + 6; s = k + 8; w = j + 10; h = a + 19; a = 1; n = z + 6; f = x + 19; x = n + 12; j = i + 17. If a = 1, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 1", "p": "g + 16", "l": "p + 3", "c": "l + 18", "d": "c + 9", "m": "d + 17", "h": "a + 8", "b": "h + 18", "q": "b + 7", "u": "q + 2", "r": "u + 11", "k": "r + 16", "a": 10}, "premises": {"a": 10}, "target": "m"}, "answer": {"steps": [["d", "c + 9", "c + 26"], ["c", "l + 18", "l + 44"], ["l", "p + 3", "p + 47"], ["p", "g + 16", "g + 63"], ["g", "a + 1", "a + 64"], ["a", 10, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"a": 10}, "is_reverse": true}}
| 5,173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 2; h = a + 8; g = a + 1; q = b + 7; d = c + 9; p = g + 16; l = p + 3; k = r + 16; b = h + 18; m = d + 17; c = l + 18; a = 10; r = u + 11. If a = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 9 to m, which gives m = c + 26.\n2. Substitute c = l + 18 to m, which gives m = l + 44.\n3. Substitute l = p + 3 to m, which gives m = p + 47.\n4. Substitute p = g + 16 to m, which gives m = g + 63.\n5. Substitute g = a + 1 to m, which gives m = a + 64.\n6. Substitute a = 10 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 5173,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 2; h = a + 8; g = a + 1; q = b + 7; d = c + 9; p = g + 16; l = p + 3; k = r + 16; b = h + 18; m = d + 17; c = l + 18; a = 10; r = u + 11. If a = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 5", "h": "y + 7", "z": "h + 4", "s": "z + 18", "v": "s + 12", "p": "v + 5", "d": "i + 11", "k": "d + 15", "b": "k + 17", "u": "b + 2", "m": "u + 14", "g": "m + 13", "i": 7}, "premises": {"i": 7}, "target": "p"}, "answer": {"steps": [["v", "s + 12", "s + 17"], ["s", "z + 18", "z + 35"], ["z", "h + 4", "h + 39"], ["h", "y + 7", "y + 46"], ["y", "i + 5", "i + 51"], ["i", 7, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"i": 7}, "is_reverse": true}}
| 5,174
| 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 = v + 5; u = b + 2; b = k + 17; i = 7; g = m + 13; s = z + 18; k = d + 15; y = i + 5; h = y + 7; m = u + 14; d = i + 11; z = h + 4; v = s + 12. If i = 7, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 12 to p, which gives p = s + 17.\n2. Substitute s = z + 18 to p, which gives p = z + 35.\n3. Substitute z = h + 4 to p, which gives p = h + 39.\n4. Substitute h = y + 7 to p, which gives p = y + 46.\n5. Substitute y = i + 5 to p, which gives p = i + 51.\n6. Substitute i = 7 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 5174,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 5; u = b + 2; b = k + 17; i = 7; g = m + 13; s = z + 18; k = d + 15; y = i + 5; h = y + 7; m = u + 14; d = i + 11; z = h + 4; v = s + 12. If i = 7, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 2", "j": "w + 8", "z": "j + 15", "t": "z + 1", "u": "t + 4", "h": "u + 14", "d": "g + 6", "a": "d + 14", "i": "a + 3", "s": "i + 16", "o": "s + 19", "f": "o + 5", "g": 8}, "premises": {"g": 8}, "target": "h"}, "answer": {"steps": [["u", "t + 4", "t + 18"], ["t", "z + 1", "z + 19"], ["z", "j + 15", "j + 34"], ["j", "w + 8", "w + 42"], ["w", "g + 2", "g + 44"], ["g", 8, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"g": 8}, "is_reverse": true}}
| 5,175
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 4; h = u + 14; j = w + 8; t = z + 1; w = g + 2; a = d + 14; z = j + 15; s = i + 16; f = o + 5; i = a + 3; d = g + 6; g = 8; o = s + 19. If g = 8, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 4 to h, which gives h = t + 18.\n2. Substitute t = z + 1 to h, which gives h = z + 19.\n3. Substitute z = j + 15 to h, which gives h = j + 34.\n4. Substitute j = w + 8 to h, which gives h = w + 42.\n5. Substitute w = g + 2 to h, which gives h = g + 44.\n6. Substitute g = 8 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 5175,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 4; h = u + 14; j = w + 8; t = z + 1; w = g + 2; a = d + 14; z = j + 15; s = i + 16; f = o + 5; i = a + 3; d = g + 6; g = 8; o = s + 19. If g = 8, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 19", "j": "u + 11", "h": "j + 13", "p": "h + 14", "z": "p + 12", "g": "z + 10", "x": "q + 9", "c": "x + 5", "o": "c + 20", "s": "o + 8", "e": "s + 9", "k": "e + 8", "q": 3}, "premises": {"q": 3}, "target": "g"}, "answer": {"steps": [["z", "p + 12", "p + 22"], ["p", "h + 14", "h + 36"], ["h", "j + 13", "j + 49"], ["j", "u + 11", "u + 60"], ["u", "q + 19", "q + 79"], ["q", 3, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"q": 3}, "is_reverse": true}}
| 5,176
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 10; x = q + 9; k = e + 8; z = p + 12; h = j + 13; q = 3; s = o + 8; c = x + 5; u = q + 19; o = c + 20; e = s + 9; j = u + 11; p = h + 14. Given that q = 3, find 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 z = p + 12 to g, which gives g = p + 22.\n2. Substitute p = h + 14 to g, which gives g = h + 36.\n3. Substitute h = j + 13 to g, which gives g = j + 49.\n4. Substitute j = u + 11 to g, which gives g = u + 60.\n5. Substitute u = q + 19 to g, which gives g = q + 79.\n6. Substitute q = 3 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 5176,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 10; x = q + 9; k = e + 8; z = p + 12; h = j + 13; q = 3; s = o + 8; c = x + 5; u = q + 19; o = c + 20; e = s + 9; j = u + 11; p = h + 14. Given that q = 3, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "m + 16", "u": "t + 16", "z": "u + 15", "k": "z + 3", "w": "k + 5", "p": "w + 9", "b": "m + 4", "a": "b + 12", "r": "a + 14", "g": "r + 16", "i": "g + 9", "d": "i + 16", "m": 4}, "premises": {"m": 4}, "target": "p"}, "answer": {"steps": [["w", "k + 5", "k + 14"], ["k", "z + 3", "z + 17"], ["z", "u + 15", "u + 32"], ["u", "t + 16", "t + 48"], ["t", "m + 16", "m + 64"], ["m", 4, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"m": 4}, "is_reverse": true}}
| 5,177
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 3; d = i + 16; z = u + 15; w = k + 5; t = m + 16; g = r + 16; i = g + 9; p = w + 9; m = 4; r = a + 14; a = b + 12; u = t + 16; b = m + 4. If m = 4, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 5 to p, which gives p = k + 14.\n2. Substitute k = z + 3 to p, which gives p = z + 17.\n3. Substitute z = u + 15 to p, which gives p = u + 32.\n4. Substitute u = t + 16 to p, which gives p = t + 48.\n5. Substitute t = m + 16 to p, which gives p = m + 64.\n6. Substitute m = 4 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 5177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 3; d = i + 16; z = u + 15; w = k + 5; t = m + 16; g = r + 16; i = g + 9; p = w + 9; m = 4; r = a + 14; a = b + 12; u = t + 16; b = m + 4. If m = 4, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 10", "q": "y + 3", "f": "q + 6", "m": "f + 9", "g": "m + 8", "n": "g + 19", "s": "x + 16", "a": "s + 12", "r": "a + 10", "o": "r + 7", "d": "o + 11", "b": "d + 11", "x": 7}, "premises": {"x": 7}, "target": "n"}, "answer": {"steps": [["g", "m + 8", "m + 27"], ["m", "f + 9", "f + 36"], ["f", "q + 6", "q + 42"], ["q", "y + 3", "y + 45"], ["y", "x + 10", "x + 55"], ["x", 7, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"x": 7}, "is_reverse": true}}
| 5,178
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 7; d = o + 11; b = d + 11; f = q + 6; x = 7; g = m + 8; a = s + 12; m = f + 9; y = x + 10; q = y + 3; r = a + 10; s = x + 16; n = g + 19. Given that x = 7, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 8 to n, which gives n = m + 27.\n2. Substitute m = f + 9 to n, which gives n = f + 36.\n3. Substitute f = q + 6 to n, which gives n = q + 42.\n4. Substitute q = y + 3 to n, which gives n = y + 45.\n5. Substitute y = x + 10 to n, which gives n = x + 55.\n6. Substitute x = 7 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 5178,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 7; d = o + 11; b = d + 11; f = q + 6; x = 7; g = m + 8; a = s + 12; m = f + 9; y = x + 10; q = y + 3; r = a + 10; s = x + 16; n = g + 19. Given that x = 7, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 14", "t": "m + 11", "x": "t + 6", "z": "x + 12", "r": "z + 9", "s": "r + 10", "o": "e + 11", "k": "o + 8", "f": "k + 4", "v": "f + 16", "g": "v + 3", "b": "g + 2", "e": 3}, "premises": {"e": 3}, "target": "s"}, "answer": {"steps": [["r", "z + 9", "z + 19"], ["z", "x + 12", "x + 31"], ["x", "t + 6", "t + 37"], ["t", "m + 11", "m + 48"], ["m", "e + 14", "e + 62"], ["e", 3, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"e": 3}, "is_reverse": true}}
| 5,179
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 11; r = z + 9; s = r + 10; m = e + 14; z = x + 12; t = m + 11; f = k + 4; k = o + 8; g = v + 3; x = t + 6; b = g + 2; v = f + 16; e = 3. If e = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 9 to s, which gives s = z + 19.\n2. Substitute z = x + 12 to s, which gives s = x + 31.\n3. Substitute x = t + 6 to s, which gives s = t + 37.\n4. Substitute t = m + 11 to s, which gives s = m + 48.\n5. Substitute m = e + 14 to s, which gives s = e + 62.\n6. Substitute e = 3 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 5179,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 11; r = z + 9; s = r + 10; m = e + 14; z = x + 12; t = m + 11; f = k + 4; k = o + 8; g = v + 3; x = t + 6; b = g + 2; v = f + 16; e = 3. If e = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 17", "x": "w + 19", "j": "x + 5", "s": "j + 20", "g": "s + 13", "y": "g + 18", "a": "d + 18", "v": "a + 6", "n": "v + 5", "m": "n + 14", "i": "m + 1", "l": "i + 19", "d": 6}, "premises": {"d": 6}, "target": "y"}, "answer": {"steps": [["g", "s + 13", "s + 31"], ["s", "j + 20", "j + 51"], ["j", "x + 5", "x + 56"], ["x", "w + 19", "w + 75"], ["w", "d + 17", "d + 92"], ["d", 6, "98"]], "target_var_name": "y", "target_value": 98, "value_dict": {"d": 6}, "is_reverse": true}}
| 5,180
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = j + 20; d = 6; w = d + 17; g = s + 13; v = a + 6; a = d + 18; i = m + 1; j = x + 5; n = v + 5; l = i + 19; m = n + 14; x = w + 19; y = g + 18. If d = 6, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 13 to y, which gives y = s + 31.\n2. Substitute s = j + 20 to y, which gives y = j + 51.\n3. Substitute j = x + 5 to y, which gives y = x + 56.\n4. Substitute x = w + 19 to y, which gives y = w + 75.\n5. Substitute w = d + 17 to y, which gives y = d + 92.\n6. Substitute d = 6 to y, which gives y = 98.\n\nThus, the final answer is y = \\boxed{98}.",
"index": 5180,
"question": "Consider a system of variables where each variable is defined as follows: s = j + 20; d = 6; w = d + 17; g = s + 13; v = a + 6; a = d + 18; i = m + 1; j = x + 5; n = v + 5; l = i + 19; m = n + 14; x = w + 19; y = g + 18. If d = 6, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 20", "l": "t + 11", "o": "l + 1", "s": "o + 20", "m": "s + 4", "g": "m + 4", "i": "y + 13", "a": "i + 4", "u": "a + 3", "b": "u + 20", "x": "b + 5", "p": "x + 16", "y": 11}, "premises": {"y": 11}, "target": "g"}, "answer": {"steps": [["m", "s + 4", "s + 8"], ["s", "o + 20", "o + 28"], ["o", "l + 1", "l + 29"], ["l", "t + 11", "t + 40"], ["t", "y + 20", "y + 60"], ["y", 11, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"y": 11}, "is_reverse": true}}
| 5,181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = a + 3; o = l + 1; x = b + 5; p = x + 16; m = s + 4; s = o + 20; l = t + 11; g = m + 4; b = u + 20; y = 11; i = y + 13; t = y + 20; a = i + 4. If y = 11, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 4 to g, which gives g = s + 8.\n2. Substitute s = o + 20 to g, which gives g = o + 28.\n3. Substitute o = l + 1 to g, which gives g = l + 29.\n4. Substitute l = t + 11 to g, which gives g = t + 40.\n5. Substitute t = y + 20 to g, which gives g = y + 60.\n6. Substitute y = 11 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 5181,
"question": "Consider a system of variables where each variable is defined as follows: u = a + 3; o = l + 1; x = b + 5; p = x + 16; m = s + 4; s = o + 20; l = t + 11; g = m + 4; b = u + 20; y = 11; i = y + 13; t = y + 20; a = i + 4. If y = 11, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 3", "k": "o + 16", "t": "k + 11", "u": "t + 13", "r": "u + 8", "a": "r + 11", "c": "w + 14", "z": "c + 18", "q": "z + 15", "s": "q + 10", "g": "s + 6", "l": "g + 15", "w": 3}, "premises": {"w": 3}, "target": "a"}, "answer": {"steps": [["r", "u + 8", "u + 19"], ["u", "t + 13", "t + 32"], ["t", "k + 11", "k + 43"], ["k", "o + 16", "o + 59"], ["o", "w + 3", "w + 62"], ["w", 3, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"w": 3}, "is_reverse": true}}
| 5,182
| 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 = u + 8; t = k + 11; k = o + 16; q = z + 15; a = r + 11; s = q + 10; w = 3; o = w + 3; g = s + 6; u = t + 13; l = g + 15; z = c + 18; c = w + 14. If w = 3, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 8 to a, which gives a = u + 19.\n2. Substitute u = t + 13 to a, which gives a = t + 32.\n3. Substitute t = k + 11 to a, which gives a = k + 43.\n4. Substitute k = o + 16 to a, which gives a = o + 59.\n5. Substitute o = w + 3 to a, which gives a = w + 62.\n6. Substitute w = 3 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 5182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 8; t = k + 11; k = o + 16; q = z + 15; a = r + 11; s = q + 10; w = 3; o = w + 3; g = s + 6; u = t + 13; l = g + 15; z = c + 18; c = w + 14. If w = 3, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 4", "e": "n + 7", "i": "e + 18", "v": "i + 20", "r": "v + 8", "u": "r + 10", "a": "m + 8", "z": "a + 20", "s": "z + 7", "b": "s + 20", "w": "b + 9", "o": "w + 2", "m": 11}, "premises": {"m": 11}, "target": "u"}, "answer": {"steps": [["r", "v + 8", "v + 18"], ["v", "i + 20", "i + 38"], ["i", "e + 18", "e + 56"], ["e", "n + 7", "n + 63"], ["n", "m + 4", "m + 67"], ["m", 11, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"m": 11}, "is_reverse": true}}
| 5,183
| 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 = v + 8; v = i + 20; s = z + 7; e = n + 7; w = b + 9; a = m + 8; u = r + 10; m = 11; z = a + 20; i = e + 18; o = w + 2; n = m + 4; b = s + 20. If m = 11, what is the resulting 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 r = v + 8 to u, which gives u = v + 18.\n2. Substitute v = i + 20 to u, which gives u = i + 38.\n3. Substitute i = e + 18 to u, which gives u = e + 56.\n4. Substitute e = n + 7 to u, which gives u = n + 63.\n5. Substitute n = m + 4 to u, which gives u = m + 67.\n6. Substitute m = 11 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 5183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 8; v = i + 20; s = z + 7; e = n + 7; w = b + 9; a = m + 8; u = r + 10; m = 11; z = a + 20; i = e + 18; o = w + 2; n = m + 4; b = s + 20. If m = 11, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 16", "o": "b + 13", "s": "o + 13", "d": "s + 11", "r": "d + 6", "q": "r + 9", "h": "v + 16", "j": "h + 5", "m": "j + 1", "p": "m + 5", "f": "p + 15", "c": "f + 10", "v": 9}, "premises": {"v": 9}, "target": "q"}, "answer": {"steps": [["r", "d + 6", "d + 15"], ["d", "s + 11", "s + 26"], ["s", "o + 13", "o + 39"], ["o", "b + 13", "b + 52"], ["b", "v + 16", "v + 68"], ["v", 9, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"v": 9}, "is_reverse": true}}
| 5,184
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = p + 15; j = h + 5; r = d + 6; d = s + 11; v = 9; q = r + 9; p = m + 5; m = j + 1; o = b + 13; b = v + 16; c = f + 10; s = o + 13; h = v + 16. If v = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 6 to q, which gives q = d + 15.\n2. Substitute d = s + 11 to q, which gives q = s + 26.\n3. Substitute s = o + 13 to q, which gives q = o + 39.\n4. Substitute o = b + 13 to q, which gives q = b + 52.\n5. Substitute b = v + 16 to q, which gives q = v + 68.\n6. Substitute v = 9 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 5184,
"question": "Consider a system of variables where each variable is defined as follows: f = p + 15; j = h + 5; r = d + 6; d = s + 11; v = 9; q = r + 9; p = m + 5; m = j + 1; o = b + 13; b = v + 16; c = f + 10; s = o + 13; h = v + 16. If v = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 2", "c": "b + 13", "l": "c + 6", "q": "l + 20", "y": "q + 5", "e": "y + 1", "n": "a + 20", "g": "n + 15", "k": "g + 12", "f": "k + 5", "h": "f + 10", "w": "h + 20", "a": 9}, "premises": {"a": 9}, "target": "e"}, "answer": {"steps": [["y", "q + 5", "q + 6"], ["q", "l + 20", "l + 26"], ["l", "c + 6", "c + 32"], ["c", "b + 13", "b + 45"], ["b", "a + 2", "a + 47"], ["a", 9, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"a": 9}, "is_reverse": true}}
| 5,185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 10; g = n + 15; f = k + 5; n = a + 20; c = b + 13; q = l + 20; w = h + 20; l = c + 6; y = q + 5; e = y + 1; b = a + 2; a = 9; k = g + 12. If a = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 5 to e, which gives e = q + 6.\n2. Substitute q = l + 20 to e, which gives e = l + 26.\n3. Substitute l = c + 6 to e, which gives e = c + 32.\n4. Substitute c = b + 13 to e, which gives e = b + 45.\n5. Substitute b = a + 2 to e, which gives e = a + 47.\n6. Substitute a = 9 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 5185,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 10; g = n + 15; f = k + 5; n = a + 20; c = b + 13; q = l + 20; w = h + 20; l = c + 6; y = q + 5; e = y + 1; b = a + 2; a = 9; k = g + 12. If a = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 17", "f": "h + 13", "v": "f + 9", "s": "v + 16", "o": "s + 13", "i": "o + 12", "e": "n + 16", "p": "e + 12", "y": "p + 7", "b": "y + 1", "q": "b + 16", "m": "q + 10", "n": 15}, "premises": {"n": 15}, "target": "i"}, "answer": {"steps": [["o", "s + 13", "s + 25"], ["s", "v + 16", "v + 41"], ["v", "f + 9", "f + 50"], ["f", "h + 13", "h + 63"], ["h", "n + 17", "n + 80"], ["n", 15, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"n": 15}, "is_reverse": true}}
| 5,186
| 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 = n + 16; b = y + 1; h = n + 17; q = b + 16; y = p + 7; o = s + 13; s = v + 16; m = q + 10; i = o + 12; n = 15; p = e + 12; f = h + 13; v = f + 9. If n = 15, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 13 to i, which gives i = s + 25.\n2. Substitute s = v + 16 to i, which gives i = v + 41.\n3. Substitute v = f + 9 to i, which gives i = f + 50.\n4. Substitute f = h + 13 to i, which gives i = h + 63.\n5. Substitute h = n + 17 to i, which gives i = n + 80.\n6. Substitute n = 15 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 5186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 16; b = y + 1; h = n + 17; q = b + 16; y = p + 7; o = s + 13; s = v + 16; m = q + 10; i = o + 12; n = 15; p = e + 12; f = h + 13; v = f + 9. If n = 15, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"j": "g + 3", "i": "j + 13", "h": "i + 5", "f": "h + 14", "k": "f + 10", "l": "k + 15", "r": "g + 12", "c": "r + 20", "a": "c + 20", "m": "a + 13", "u": "m + 2", "z": "u + 13", "g": 10}, "premises": {"g": 10}, "target": "l"}, "answer": {"steps": [["k", "f + 10", "f + 25"], ["f", "h + 14", "h + 39"], ["h", "i + 5", "i + 44"], ["i", "j + 13", "j + 57"], ["j", "g + 3", "g + 60"], ["g", 10, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"g": 10}, "is_reverse": true}}
| 5,187
| 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 = a + 13; j = g + 3; f = h + 14; u = m + 2; a = c + 20; z = u + 13; g = 10; h = i + 5; l = k + 15; i = j + 13; k = f + 10; r = g + 12; c = r + 20. If g = 10, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 10 to l, which gives l = f + 25.\n2. Substitute f = h + 14 to l, which gives l = h + 39.\n3. Substitute h = i + 5 to l, which gives l = i + 44.\n4. Substitute i = j + 13 to l, which gives l = j + 57.\n5. Substitute j = g + 3 to l, which gives l = g + 60.\n6. Substitute g = 10 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 5187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 13; j = g + 3; f = h + 14; u = m + 2; a = c + 20; z = u + 13; g = 10; h = i + 5; l = k + 15; i = j + 13; k = f + 10; r = g + 12; c = r + 20. If g = 10, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 19", "b": "e + 7", "i": "b + 6", "d": "i + 6", "u": "d + 7", "c": "u + 7", "t": "h + 8", "l": "t + 4", "z": "l + 2", "f": "z + 19", "v": "f + 13", "m": "v + 7", "h": 18}, "premises": {"h": 18}, "target": "c"}, "answer": {"steps": [["u", "d + 7", "d + 14"], ["d", "i + 6", "i + 20"], ["i", "b + 6", "b + 26"], ["b", "e + 7", "e + 33"], ["e", "h + 19", "h + 52"], ["h", 18, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"h": 18}, "is_reverse": true}}
| 5,188
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 7; t = h + 8; e = h + 19; l = t + 4; z = l + 2; u = d + 7; d = i + 6; m = v + 7; v = f + 13; i = b + 6; c = u + 7; f = z + 19; h = 18. Given that h = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 7 to c, which gives c = d + 14.\n2. Substitute d = i + 6 to c, which gives c = i + 20.\n3. Substitute i = b + 6 to c, which gives c = b + 26.\n4. Substitute b = e + 7 to c, which gives c = e + 33.\n5. Substitute e = h + 19 to c, which gives c = h + 52.\n6. Substitute h = 18 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 5188,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 7; t = h + 8; e = h + 19; l = t + 4; z = l + 2; u = d + 7; d = i + 6; m = v + 7; v = f + 13; i = b + 6; c = u + 7; f = z + 19; h = 18. Given that h = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 6", "t": "c + 19", "g": "t + 9", "s": "g + 5", "p": "s + 11", "u": "p + 6", "n": "v + 6", "f": "n + 4", "i": "f + 15", "l": "i + 1", "j": "l + 3", "q": "j + 9", "v": 9}, "premises": {"v": 9}, "target": "u"}, "answer": {"steps": [["p", "s + 11", "s + 17"], ["s", "g + 5", "g + 22"], ["g", "t + 9", "t + 31"], ["t", "c + 19", "c + 50"], ["c", "v + 6", "v + 56"], ["v", 9, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"v": 9}, "is_reverse": true}}
| 5,189
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 6; t = c + 19; v = 9; q = j + 9; g = t + 9; n = v + 6; c = v + 6; l = i + 1; p = s + 11; j = l + 3; s = g + 5; i = f + 15; f = n + 4. If v = 9, what is the resulting 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 p = s + 11 to u, which gives u = s + 17.\n2. Substitute s = g + 5 to u, which gives u = g + 22.\n3. Substitute g = t + 9 to u, which gives u = t + 31.\n4. Substitute t = c + 19 to u, which gives u = c + 50.\n5. Substitute c = v + 6 to u, which gives u = v + 56.\n6. Substitute v = 9 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 5189,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 6; t = c + 19; v = 9; q = j + 9; g = t + 9; n = v + 6; c = v + 6; l = i + 1; p = s + 11; j = l + 3; s = g + 5; i = f + 15; f = n + 4. If v = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 6", "i": "y + 12", "r": "i + 17", "k": "r + 12", "j": "k + 7", "a": "j + 6", "x": "s + 17", "f": "x + 9", "t": "f + 6", "e": "t + 18", "g": "e + 12", "b": "g + 2", "s": 2}, "premises": {"s": 2}, "target": "a"}, "answer": {"steps": [["j", "k + 7", "k + 13"], ["k", "r + 12", "r + 25"], ["r", "i + 17", "i + 42"], ["i", "y + 12", "y + 54"], ["y", "s + 6", "s + 60"], ["s", 2, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"s": 2}, "is_reverse": true}}
| 5,190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 2; i = y + 12; k = r + 12; t = f + 6; a = j + 6; g = e + 12; e = t + 18; y = s + 6; r = i + 17; b = g + 2; j = k + 7; x = s + 17; f = x + 9. Given that s = 2, find 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 j = k + 7 to a, which gives a = k + 13.\n2. Substitute k = r + 12 to a, which gives a = r + 25.\n3. Substitute r = i + 17 to a, which gives a = i + 42.\n4. Substitute i = y + 12 to a, which gives a = y + 54.\n5. Substitute y = s + 6 to a, which gives a = s + 60.\n6. Substitute s = 2 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 5190,
"question": "Suppose a collection of variables is related by the following definitions: s = 2; i = y + 12; k = r + 12; t = f + 6; a = j + 6; g = e + 12; e = t + 18; y = s + 6; r = i + 17; b = g + 2; j = k + 7; x = s + 17; f = x + 9. Given that s = 2, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 19", "p": "c + 1", "e": "p + 1", "l": "e + 8", "v": "l + 18", "m": "v + 2", "t": "x + 9", "d": "t + 19", "q": "d + 7", "y": "q + 19", "z": "y + 6", "u": "z + 20", "x": 10}, "premises": {"x": 10}, "target": "m"}, "answer": {"steps": [["v", "l + 18", "l + 20"], ["l", "e + 8", "e + 28"], ["e", "p + 1", "p + 29"], ["p", "c + 1", "c + 30"], ["c", "x + 19", "x + 49"], ["x", 10, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"x": 10}, "is_reverse": true}}
| 5,191
| 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 = 10; u = z + 20; q = d + 7; e = p + 1; z = y + 6; p = c + 1; t = x + 9; l = e + 8; v = l + 18; c = x + 19; d = t + 19; y = q + 19; m = v + 2. If x = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 18 to m, which gives m = l + 20.\n2. Substitute l = e + 8 to m, which gives m = e + 28.\n3. Substitute e = p + 1 to m, which gives m = p + 29.\n4. Substitute p = c + 1 to m, which gives m = c + 30.\n5. Substitute c = x + 19 to m, which gives m = x + 49.\n6. Substitute x = 10 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 5191,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 10; u = z + 20; q = d + 7; e = p + 1; z = y + 6; p = c + 1; t = x + 9; l = e + 8; v = l + 18; c = x + 19; d = t + 19; y = q + 19; m = v + 2. If x = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 7", "z": "f + 4", "h": "z + 5", "c": "h + 1", "u": "c + 7", "v": "u + 14", "o": "j + 6", "w": "o + 18", "d": "w + 4", "m": "d + 19", "e": "m + 3", "a": "e + 7", "j": 10}, "premises": {"j": 10}, "target": "v"}, "answer": {"steps": [["u", "c + 7", "c + 21"], ["c", "h + 1", "h + 22"], ["h", "z + 5", "z + 27"], ["z", "f + 4", "f + 31"], ["f", "j + 7", "j + 38"], ["j", 10, "48"]], "target_var_name": "v", "target_value": 48, "value_dict": {"j": 10}, "is_reverse": true}}
| 5,192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 6; e = m + 3; v = u + 14; j = 10; c = h + 1; m = d + 19; w = o + 18; f = j + 7; a = e + 7; d = w + 4; h = z + 5; z = f + 4; u = c + 7. Given that j = 10, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 7 to v, which gives v = c + 21.\n2. Substitute c = h + 1 to v, which gives v = h + 22.\n3. Substitute h = z + 5 to v, which gives v = z + 27.\n4. Substitute z = f + 4 to v, which gives v = f + 31.\n5. Substitute f = j + 7 to v, which gives v = j + 38.\n6. Substitute j = 10 to v, which gives v = 48.\n\nThus, the final answer is v = \\boxed{48}.",
"index": 5192,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 6; e = m + 3; v = u + 14; j = 10; c = h + 1; m = d + 19; w = o + 18; f = j + 7; a = e + 7; d = w + 4; h = z + 5; z = f + 4; u = c + 7. Given that j = 10, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 9", "u": "g + 8", "q": "u + 16", "o": "q + 8", "t": "o + 12", "l": "t + 6", "b": "w + 15", "z": "b + 11", "d": "z + 15", "r": "d + 10", "n": "r + 12", "x": "n + 10", "w": 11}, "premises": {"w": 11}, "target": "l"}, "answer": {"steps": [["t", "o + 12", "o + 18"], ["o", "q + 8", "q + 26"], ["q", "u + 16", "u + 42"], ["u", "g + 8", "g + 50"], ["g", "w + 9", "w + 59"], ["w", 11, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"w": 11}, "is_reverse": true}}
| 5,193
| 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 = n + 10; u = g + 8; g = w + 9; l = t + 6; t = o + 12; r = d + 10; w = 11; q = u + 16; z = b + 11; n = r + 12; o = q + 8; b = w + 15; d = z + 15. If w = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 12 to l, which gives l = o + 18.\n2. Substitute o = q + 8 to l, which gives l = q + 26.\n3. Substitute q = u + 16 to l, which gives l = u + 42.\n4. Substitute u = g + 8 to l, which gives l = g + 50.\n5. Substitute g = w + 9 to l, which gives l = w + 59.\n6. Substitute w = 11 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 5193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 10; u = g + 8; g = w + 9; l = t + 6; t = o + 12; r = d + 10; w = 11; q = u + 16; z = b + 11; n = r + 12; o = q + 8; b = w + 15; d = z + 15. If w = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 16", "d": "y + 9", "m": "d + 18", "s": "m + 14", "h": "s + 5", "n": "h + 16", "i": "v + 5", "r": "i + 16", "w": "r + 19", "l": "w + 6", "c": "l + 18", "u": "c + 13", "v": 4}, "premises": {"v": 4}, "target": "n"}, "answer": {"steps": [["h", "s + 5", "s + 21"], ["s", "m + 14", "m + 35"], ["m", "d + 18", "d + 53"], ["d", "y + 9", "y + 62"], ["y", "v + 16", "v + 78"], ["v", 4, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"v": 4}, "is_reverse": true}}
| 5,194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 5; i = v + 5; u = c + 13; d = y + 9; m = d + 18; s = m + 14; r = i + 16; l = w + 6; y = v + 16; n = h + 16; v = 4; w = r + 19; c = l + 18. If v = 4, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 5 to n, which gives n = s + 21.\n2. Substitute s = m + 14 to n, which gives n = m + 35.\n3. Substitute m = d + 18 to n, which gives n = d + 53.\n4. Substitute d = y + 9 to n, which gives n = y + 62.\n5. Substitute y = v + 16 to n, which gives n = v + 78.\n6. Substitute v = 4 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 5194,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 5; i = v + 5; u = c + 13; d = y + 9; m = d + 18; s = m + 14; r = i + 16; l = w + 6; y = v + 16; n = h + 16; v = 4; w = r + 19; c = l + 18. If v = 4, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 20", "a": "i + 4", "z": "a + 15", "r": "z + 11", "j": "r + 8", "y": "j + 6", "n": "o + 1", "c": "n + 7", "h": "c + 14", "f": "h + 3", "d": "f + 4", "v": "d + 5", "o": 13}, "premises": {"o": 13}, "target": "y"}, "answer": {"steps": [["j", "r + 8", "r + 14"], ["r", "z + 11", "z + 25"], ["z", "a + 15", "a + 40"], ["a", "i + 4", "i + 44"], ["i", "o + 20", "o + 64"], ["o", 13, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"o": 13}, "is_reverse": true}}
| 5,195
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 3; o = 13; d = f + 4; h = c + 14; c = n + 7; z = a + 15; v = d + 5; i = o + 20; a = i + 4; j = r + 8; y = j + 6; r = z + 11; n = o + 1. If o = 13, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 8 to y, which gives y = r + 14.\n2. Substitute r = z + 11 to y, which gives y = z + 25.\n3. Substitute z = a + 15 to y, which gives y = a + 40.\n4. Substitute a = i + 4 to y, which gives y = i + 44.\n5. Substitute i = o + 20 to y, which gives y = o + 64.\n6. Substitute o = 13 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 5195,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 3; o = 13; d = f + 4; h = c + 14; c = n + 7; z = a + 15; v = d + 5; i = o + 20; a = i + 4; j = r + 8; y = j + 6; r = z + 11; n = o + 1. If o = 13, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 10", "g": "i + 3", "n": "g + 3", "m": "n + 7", "t": "m + 7", "q": "t + 16", "z": "p + 10", "v": "z + 11", "w": "v + 10", "r": "w + 20", "h": "r + 2", "d": "h + 13", "p": 20}, "premises": {"p": 20}, "target": "q"}, "answer": {"steps": [["t", "m + 7", "m + 23"], ["m", "n + 7", "n + 30"], ["n", "g + 3", "g + 33"], ["g", "i + 3", "i + 36"], ["i", "p + 10", "p + 46"], ["p", 20, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"p": 20}, "is_reverse": true}}
| 5,196
| 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 = p + 10; p = 20; n = g + 3; w = v + 10; h = r + 2; r = w + 20; q = t + 16; t = m + 7; v = z + 11; m = n + 7; g = i + 3; d = h + 13; i = p + 10. If p = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 7 to q, which gives q = m + 23.\n2. Substitute m = n + 7 to q, which gives q = n + 30.\n3. Substitute n = g + 3 to q, which gives q = g + 33.\n4. Substitute g = i + 3 to q, which gives q = i + 36.\n5. Substitute i = p + 10 to q, which gives q = p + 46.\n6. Substitute p = 20 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 5196,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 10; p = 20; n = g + 3; w = v + 10; h = r + 2; r = w + 20; q = t + 16; t = m + 7; v = z + 11; m = n + 7; g = i + 3; d = h + 13; i = p + 10. If p = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 13", "d": "m + 10", "l": "d + 3", "j": "l + 1", "b": "j + 4", "t": "b + 8", "i": "n + 17", "z": "i + 9", "h": "z + 12", "u": "h + 5", "e": "u + 9", "p": "e + 11", "n": 8}, "premises": {"n": 8}, "target": "t"}, "answer": {"steps": [["b", "j + 4", "j + 12"], ["j", "l + 1", "l + 13"], ["l", "d + 3", "d + 16"], ["d", "m + 10", "m + 26"], ["m", "n + 13", "n + 39"], ["n", 8, "47"]], "target_var_name": "t", "target_value": 47, "value_dict": {"n": 8}, "is_reverse": true}}
| 5,197
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 5; m = n + 13; b = j + 4; h = z + 12; d = m + 10; t = b + 8; l = d + 3; j = l + 1; e = u + 9; n = 8; i = n + 17; p = e + 11; z = i + 9. If n = 8, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 4 to t, which gives t = j + 12.\n2. Substitute j = l + 1 to t, which gives t = l + 13.\n3. Substitute l = d + 3 to t, which gives t = d + 16.\n4. Substitute d = m + 10 to t, which gives t = m + 26.\n5. Substitute m = n + 13 to t, which gives t = n + 39.\n6. Substitute n = 8 to t, which gives t = 47.\n\nThus, the final answer is t = \\boxed{47}.",
"index": 5197,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 5; m = n + 13; b = j + 4; h = z + 12; d = m + 10; t = b + 8; l = d + 3; j = l + 1; e = u + 9; n = 8; i = n + 17; p = e + 11; z = i + 9. If n = 8, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 20", "s": "r + 14", "i": "s + 2", "o": "i + 19", "e": "o + 7", "q": "e + 6", "m": "b + 6", "a": "m + 2", "j": "a + 2", "d": "j + 17", "y": "d + 8", "x": "y + 2", "b": 12}, "premises": {"b": 12}, "target": "q"}, "answer": {"steps": [["e", "o + 7", "o + 13"], ["o", "i + 19", "i + 32"], ["i", "s + 2", "s + 34"], ["s", "r + 14", "r + 48"], ["r", "b + 20", "b + 68"], ["b", 12, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"b": 12}, "is_reverse": true}}
| 5,198
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 19; s = r + 14; a = m + 2; r = b + 20; j = a + 2; d = j + 17; q = e + 6; b = 12; m = b + 6; e = o + 7; x = y + 2; y = d + 8; i = s + 2. Given that b = 12, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 7 to q, which gives q = o + 13.\n2. Substitute o = i + 19 to q, which gives q = i + 32.\n3. Substitute i = s + 2 to q, which gives q = s + 34.\n4. Substitute s = r + 14 to q, which gives q = r + 48.\n5. Substitute r = b + 20 to q, which gives q = b + 68.\n6. Substitute b = 12 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 5198,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 19; s = r + 14; a = m + 2; r = b + 20; j = a + 2; d = j + 17; q = e + 6; b = 12; m = b + 6; e = o + 7; x = y + 2; y = d + 8; i = s + 2. Given that b = 12, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 7", "q": "h + 19", "l": "q + 5", "p": "l + 7", "a": "p + 15", "o": "a + 10", "m": "x + 7", "c": "m + 17", "f": "c + 16", "y": "f + 7", "e": "y + 9", "k": "e + 17", "x": 1}, "premises": {"x": 1}, "target": "o"}, "answer": {"steps": [["a", "p + 15", "p + 25"], ["p", "l + 7", "l + 32"], ["l", "q + 5", "q + 37"], ["q", "h + 19", "h + 56"], ["h", "x + 7", "x + 63"], ["x", 1, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"x": 1}, "is_reverse": true}}
| 5,199
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 17; p = l + 7; y = f + 7; f = c + 16; m = x + 7; c = m + 17; o = a + 10; q = h + 19; h = x + 7; a = p + 15; e = y + 9; l = q + 5; x = 1. If x = 1, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 15 to o, which gives o = p + 25.\n2. Substitute p = l + 7 to o, which gives o = l + 32.\n3. Substitute l = q + 5 to o, which gives o = q + 37.\n4. Substitute q = h + 19 to o, which gives o = h + 56.\n5. Substitute h = x + 7 to o, which gives o = x + 63.\n6. Substitute x = 1 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 5199,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 17; p = l + 7; y = f + 7; f = c + 16; m = x + 7; c = m + 17; o = a + 10; q = h + 19; h = x + 7; a = p + 15; e = y + 9; l = q + 5; x = 1. If x = 1, determine the value of o.",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.