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": {"p": "w + 4", "f": "p + 9", "k": "f + 9", "t": "k + 1", "g": "t + 15", "s": "g + 4", "i": "w + 2", "u": "i + 11", "h": "u + 14", "l": "h + 18", "e": "l + 19", "b": "e + 4", "w": 15}, "premises": {"w": 15}, "target": "s"}, "answer": {"steps": [["g", "t + 15", "t + 19"], ["t", "k + 1", "k + 20"], ["k", "f + 9", "f + 29"], ["f", "p + 9", "p + 38"], ["p", "w + 4", "w + 42"], ["w", 15, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"w": 15}, "is_reverse": true}}
| 1,600
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 9; k = f + 9; w = 15; l = h + 18; t = k + 1; i = w + 2; u = i + 11; b = e + 4; p = w + 4; g = t + 15; s = g + 4; e = l + 19; h = u + 14. If w = 15, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 15 to s, which gives s = t + 19.\n2. Substitute t = k + 1 to s, which gives s = k + 20.\n3. Substitute k = f + 9 to s, which gives s = f + 29.\n4. Substitute f = p + 9 to s, which gives s = p + 38.\n5. Substitute p = w + 4 to s, which gives s = w + 42.\n6. Substitute w = 15 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 1600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 9; k = f + 9; w = 15; l = h + 18; t = k + 1; i = w + 2; u = i + 11; b = e + 4; p = w + 4; g = t + 15; s = g + 4; e = l + 19; h = u + 14. If w = 15, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 18", "m": "p + 3", "j": "m + 16", "s": "j + 5", "v": "s + 11", "l": "v + 19", "d": "k + 20", "i": "d + 8", "g": "i + 19", "f": "g + 2", "t": "f + 16", "b": "t + 19", "k": 11}, "premises": {"k": 11}, "target": "l"}, "answer": {"steps": [["v", "s + 11", "s + 30"], ["s", "j + 5", "j + 35"], ["j", "m + 16", "m + 51"], ["m", "p + 3", "p + 54"], ["p", "k + 18", "k + 72"], ["k", 11, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"k": 11}, "is_reverse": true}}
| 1,601
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 16; g = i + 19; l = v + 19; k = 11; f = g + 2; d = k + 20; b = t + 19; m = p + 3; p = k + 18; i = d + 8; s = j + 5; v = s + 11; t = f + 16. If k = 11, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 11 to l, which gives l = s + 30.\n2. Substitute s = j + 5 to l, which gives l = j + 35.\n3. Substitute j = m + 16 to l, which gives l = m + 51.\n4. Substitute m = p + 3 to l, which gives l = p + 54.\n5. Substitute p = k + 18 to l, which gives l = k + 72.\n6. Substitute k = 11 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 1601,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 16; g = i + 19; l = v + 19; k = 11; f = g + 2; d = k + 20; b = t + 19; m = p + 3; p = k + 18; i = d + 8; s = j + 5; v = s + 11; t = f + 16. If k = 11, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 19", "s": "y + 8", "e": "s + 19", "d": "e + 4", "n": "d + 8", "z": "n + 18", "m": "f + 16", "g": "m + 3", "o": "g + 11", "v": "o + 11", "i": "v + 13", "u": "i + 10", "f": 18}, "premises": {"f": 18}, "target": "z"}, "answer": {"steps": [["n", "d + 8", "d + 26"], ["d", "e + 4", "e + 30"], ["e", "s + 19", "s + 49"], ["s", "y + 8", "y + 57"], ["y", "f + 19", "f + 76"], ["f", 18, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"f": 18}, "is_reverse": true}}
| 1,602
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 19; u = i + 10; s = y + 8; d = e + 4; i = v + 13; m = f + 16; g = m + 3; v = o + 11; z = n + 18; f = 18; n = d + 8; y = f + 19; o = g + 11. Given that f = 18, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 8 to z, which gives z = d + 26.\n2. Substitute d = e + 4 to z, which gives z = e + 30.\n3. Substitute e = s + 19 to z, which gives z = s + 49.\n4. Substitute s = y + 8 to z, which gives z = y + 57.\n5. Substitute y = f + 19 to z, which gives z = f + 76.\n6. Substitute f = 18 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 1602,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 19; u = i + 10; s = y + 8; d = e + 4; i = v + 13; m = f + 16; g = m + 3; v = o + 11; z = n + 18; f = 18; n = d + 8; y = f + 19; o = g + 11. Given that f = 18, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"j": "x + 20", "y": "j + 9", "i": "y + 9", "a": "i + 12", "c": "a + 8", "w": "c + 20", "k": "x + 17", "l": "k + 5", "p": "l + 6", "e": "p + 9", "m": "e + 5", "t": "m + 17", "x": 14}, "premises": {"x": 14}, "target": "w"}, "answer": {"steps": [["c", "a + 8", "a + 28"], ["a", "i + 12", "i + 40"], ["i", "y + 9", "y + 49"], ["y", "j + 9", "j + 58"], ["j", "x + 20", "x + 78"], ["x", 14, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"x": 14}, "is_reverse": true}}
| 1,603
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 17; e = p + 9; i = y + 9; x = 14; l = k + 5; p = l + 6; j = x + 20; y = j + 9; a = i + 12; m = e + 5; w = c + 20; c = a + 8; t = m + 17. If x = 14, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 8 to w, which gives w = a + 28.\n2. Substitute a = i + 12 to w, which gives w = i + 40.\n3. Substitute i = y + 9 to w, which gives w = y + 49.\n4. Substitute y = j + 9 to w, which gives w = j + 58.\n5. Substitute j = x + 20 to w, which gives w = x + 78.\n6. Substitute x = 14 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 1603,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 17; e = p + 9; i = y + 9; x = 14; l = k + 5; p = l + 6; j = x + 20; y = j + 9; a = i + 12; m = e + 5; w = c + 20; c = a + 8; t = m + 17. If x = 14, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 1", "o": "b + 3", "s": "o + 9", "e": "s + 3", "h": "e + 13", "g": "h + 4", "f": "j + 5", "i": "f + 7", "q": "i + 3", "t": "q + 5", "c": "t + 4", "u": "c + 16", "j": 16}, "premises": {"j": 16}, "target": "g"}, "answer": {"steps": [["h", "e + 13", "e + 17"], ["e", "s + 3", "s + 20"], ["s", "o + 9", "o + 29"], ["o", "b + 3", "b + 32"], ["b", "j + 1", "j + 33"], ["j", 16, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"j": 16}, "is_reverse": true}}
| 1,604
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 16; q = i + 3; u = c + 16; o = b + 3; t = q + 5; f = j + 5; b = j + 1; e = s + 3; i = f + 7; h = e + 13; s = o + 9; g = h + 4; c = t + 4. If j = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 13 to g, which gives g = e + 17.\n2. Substitute e = s + 3 to g, which gives g = s + 20.\n3. Substitute s = o + 9 to g, which gives g = o + 29.\n4. Substitute o = b + 3 to g, which gives g = b + 32.\n5. Substitute b = j + 1 to g, which gives g = j + 33.\n6. Substitute j = 16 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 1604,
"question": "Consider a system of variables where each variable is defined as follows: j = 16; q = i + 3; u = c + 16; o = b + 3; t = q + 5; f = j + 5; b = j + 1; e = s + 3; i = f + 7; h = e + 13; s = o + 9; g = h + 4; c = t + 4. If j = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 20", "r": "g + 2", "p": "r + 18", "c": "p + 17", "l": "c + 7", "a": "l + 18", "b": "d + 3", "m": "b + 16", "z": "m + 14", "j": "z + 15", "y": "j + 12", "e": "y + 15", "d": 3}, "premises": {"d": 3}, "target": "a"}, "answer": {"steps": [["l", "c + 7", "c + 25"], ["c", "p + 17", "p + 42"], ["p", "r + 18", "r + 60"], ["r", "g + 2", "g + 62"], ["g", "d + 20", "d + 82"], ["d", 3, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"d": 3}, "is_reverse": true}}
| 1,605
| 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 = j + 12; m = b + 16; e = y + 15; d = 3; p = r + 18; r = g + 2; z = m + 14; a = l + 18; g = d + 20; l = c + 7; c = p + 17; b = d + 3; j = z + 15. If d = 3, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 7 to a, which gives a = c + 25.\n2. Substitute c = p + 17 to a, which gives a = p + 42.\n3. Substitute p = r + 18 to a, which gives a = r + 60.\n4. Substitute r = g + 2 to a, which gives a = g + 62.\n5. Substitute g = d + 20 to a, which gives a = d + 82.\n6. Substitute d = 3 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 1605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 12; m = b + 16; e = y + 15; d = 3; p = r + 18; r = g + 2; z = m + 14; a = l + 18; g = d + 20; l = c + 7; c = p + 17; b = d + 3; j = z + 15. If d = 3, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 16", "o": "q + 17", "p": "o + 16", "r": "p + 18", "b": "r + 13", "x": "b + 13", "u": "w + 15", "l": "u + 14", "z": "l + 10", "y": "z + 7", "e": "y + 18", "m": "e + 10", "w": 15}, "premises": {"w": 15}, "target": "x"}, "answer": {"steps": [["b", "r + 13", "r + 26"], ["r", "p + 18", "p + 44"], ["p", "o + 16", "o + 60"], ["o", "q + 17", "q + 77"], ["q", "w + 16", "w + 93"], ["w", 15, "108"]], "target_var_name": "x", "target_value": 108, "value_dict": {"w": 15}, "is_reverse": true}}
| 1,606
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 13; y = z + 7; m = e + 10; w = 15; z = l + 10; p = o + 16; u = w + 15; l = u + 14; q = w + 16; e = y + 18; o = q + 17; x = b + 13; r = p + 18. If w = 15, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 13 to x, which gives x = r + 26.\n2. Substitute r = p + 18 to x, which gives x = p + 44.\n3. Substitute p = o + 16 to x, which gives x = o + 60.\n4. Substitute o = q + 17 to x, which gives x = q + 77.\n5. Substitute q = w + 16 to x, which gives x = w + 93.\n6. Substitute w = 15 to x, which gives x = 108.\n\nThus, the final answer is x = \\boxed{108}.",
"index": 1606,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 13; y = z + 7; m = e + 10; w = 15; z = l + 10; p = o + 16; u = w + 15; l = u + 14; q = w + 16; e = y + 18; o = q + 17; x = b + 13; r = p + 18. If w = 15, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 17", "m": "a + 14", "b": "m + 7", "s": "b + 4", "v": "s + 10", "i": "v + 16", "j": "e + 14", "r": "j + 19", "w": "r + 2", "g": "w + 9", "d": "g + 9", "p": "d + 15", "e": 1}, "premises": {"e": 1}, "target": "i"}, "answer": {"steps": [["v", "s + 10", "s + 26"], ["s", "b + 4", "b + 30"], ["b", "m + 7", "m + 37"], ["m", "a + 14", "a + 51"], ["a", "e + 17", "e + 68"], ["e", 1, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"e": 1}, "is_reverse": true}}
| 1,607
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 10; i = v + 16; r = j + 19; d = g + 9; p = d + 15; m = a + 14; e = 1; g = w + 9; s = b + 4; b = m + 7; a = e + 17; w = r + 2; j = e + 14. Given that e = 1, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 10 to i, which gives i = s + 26.\n2. Substitute s = b + 4 to i, which gives i = b + 30.\n3. Substitute b = m + 7 to i, which gives i = m + 37.\n4. Substitute m = a + 14 to i, which gives i = a + 51.\n5. Substitute a = e + 17 to i, which gives i = e + 68.\n6. Substitute e = 1 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 1607,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 10; i = v + 16; r = j + 19; d = g + 9; p = d + 15; m = a + 14; e = 1; g = w + 9; s = b + 4; b = m + 7; a = e + 17; w = r + 2; j = e + 14. Given that e = 1, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 1", "q": "j + 3", "o": "q + 11", "r": "o + 4", "w": "r + 5", "y": "w + 8", "a": "d + 6", "g": "a + 18", "p": "g + 10", "f": "p + 9", "c": "f + 10", "e": "c + 14", "d": 16}, "premises": {"d": 16}, "target": "y"}, "answer": {"steps": [["w", "r + 5", "r + 13"], ["r", "o + 4", "o + 17"], ["o", "q + 11", "q + 28"], ["q", "j + 3", "j + 31"], ["j", "d + 1", "d + 32"], ["d", 16, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"d": 16}, "is_reverse": true}}
| 1,608
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 18; f = p + 9; e = c + 14; j = d + 1; w = r + 5; a = d + 6; p = g + 10; o = q + 11; y = w + 8; c = f + 10; q = j + 3; r = o + 4; d = 16. Given that d = 16, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 5 to y, which gives y = r + 13.\n2. Substitute r = o + 4 to y, which gives y = o + 17.\n3. Substitute o = q + 11 to y, which gives y = q + 28.\n4. Substitute q = j + 3 to y, which gives y = j + 31.\n5. Substitute j = d + 1 to y, which gives y = d + 32.\n6. Substitute d = 16 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 1608,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 18; f = p + 9; e = c + 14; j = d + 1; w = r + 5; a = d + 6; p = g + 10; o = q + 11; y = w + 8; c = f + 10; q = j + 3; r = o + 4; d = 16. Given that d = 16, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 2", "y": "c + 15", "f": "y + 3", "g": "f + 2", "v": "g + 3", "w": "v + 20", "i": "j + 16", "b": "i + 10", "n": "b + 17", "u": "n + 13", "e": "u + 14", "t": "e + 11", "j": 1}, "premises": {"j": 1}, "target": "w"}, "answer": {"steps": [["v", "g + 3", "g + 23"], ["g", "f + 2", "f + 25"], ["f", "y + 3", "y + 28"], ["y", "c + 15", "c + 43"], ["c", "j + 2", "j + 45"], ["j", 1, "46"]], "target_var_name": "w", "target_value": 46, "value_dict": {"j": 1}, "is_reverse": true}}
| 1,609
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 2; n = b + 17; b = i + 10; v = g + 3; g = f + 2; i = j + 16; j = 1; t = e + 11; f = y + 3; y = c + 15; u = n + 13; w = v + 20; e = u + 14. Given that j = 1, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 3 to w, which gives w = g + 23.\n2. Substitute g = f + 2 to w, which gives w = f + 25.\n3. Substitute f = y + 3 to w, which gives w = y + 28.\n4. Substitute y = c + 15 to w, which gives w = c + 43.\n5. Substitute c = j + 2 to w, which gives w = j + 45.\n6. Substitute j = 1 to w, which gives w = 46.\n\nThus, the final answer is w = \\boxed{46}.",
"index": 1609,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 2; n = b + 17; b = i + 10; v = g + 3; g = f + 2; i = j + 16; j = 1; t = e + 11; f = y + 3; y = c + 15; u = n + 13; w = v + 20; e = u + 14. Given that j = 1, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 15", "a": "c + 7", "w": "a + 13", "z": "w + 4", "y": "z + 5", "o": "y + 8", "r": "k + 6", "u": "r + 8", "n": "u + 1", "e": "n + 7", "v": "e + 9", "l": "v + 14", "k": 15}, "premises": {"k": 15}, "target": "o"}, "answer": {"steps": [["y", "z + 5", "z + 13"], ["z", "w + 4", "w + 17"], ["w", "a + 13", "a + 30"], ["a", "c + 7", "c + 37"], ["c", "k + 15", "k + 52"], ["k", 15, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"k": 15}, "is_reverse": true}}
| 1,610
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 5; a = c + 7; n = u + 1; k = 15; c = k + 15; r = k + 6; l = v + 14; z = w + 4; w = a + 13; u = r + 8; o = y + 8; e = n + 7; v = e + 9. If k = 15, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 5 to o, which gives o = z + 13.\n2. Substitute z = w + 4 to o, which gives o = w + 17.\n3. Substitute w = a + 13 to o, which gives o = a + 30.\n4. Substitute a = c + 7 to o, which gives o = c + 37.\n5. Substitute c = k + 15 to o, which gives o = k + 52.\n6. Substitute k = 15 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 1610,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 5; a = c + 7; n = u + 1; k = 15; c = k + 15; r = k + 6; l = v + 14; z = w + 4; w = a + 13; u = r + 8; o = y + 8; e = n + 7; v = e + 9. If k = 15, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 3", "z": "x + 11", "m": "z + 15", "r": "m + 12", "t": "r + 9", "j": "t + 15", "n": "v + 12", "b": "n + 3", "g": "b + 16", "l": "g + 12", "p": "l + 11", "u": "p + 1", "v": 9}, "premises": {"v": 9}, "target": "j"}, "answer": {"steps": [["t", "r + 9", "r + 24"], ["r", "m + 12", "m + 36"], ["m", "z + 15", "z + 51"], ["z", "x + 11", "x + 62"], ["x", "v + 3", "v + 65"], ["v", 9, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"v": 9}, "is_reverse": true}}
| 1,611
| 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 = z + 15; x = v + 3; v = 9; g = b + 16; l = g + 12; t = r + 9; u = p + 1; j = t + 15; p = l + 11; n = v + 12; r = m + 12; b = n + 3; z = x + 11. If v = 9, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 9 to j, which gives j = r + 24.\n2. Substitute r = m + 12 to j, which gives j = m + 36.\n3. Substitute m = z + 15 to j, which gives j = z + 51.\n4. Substitute z = x + 11 to j, which gives j = x + 62.\n5. Substitute x = v + 3 to j, which gives j = v + 65.\n6. Substitute v = 9 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 1611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 15; x = v + 3; v = 9; g = b + 16; l = g + 12; t = r + 9; u = p + 1; j = t + 15; p = l + 11; n = v + 12; r = m + 12; b = n + 3; z = x + 11. If v = 9, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 20", "b": "c + 18", "r": "b + 4", "o": "r + 15", "a": "o + 11", "q": "a + 1", "m": "p + 16", "e": "m + 11", "h": "e + 20", "d": "h + 9", "w": "d + 15", "t": "w + 5", "p": 2}, "premises": {"p": 2}, "target": "q"}, "answer": {"steps": [["a", "o + 11", "o + 12"], ["o", "r + 15", "r + 27"], ["r", "b + 4", "b + 31"], ["b", "c + 18", "c + 49"], ["c", "p + 20", "p + 69"], ["p", 2, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"p": 2}, "is_reverse": true}}
| 1,612
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 16; d = h + 9; q = a + 1; o = r + 15; p = 2; c = p + 20; r = b + 4; h = e + 20; t = w + 5; b = c + 18; w = d + 15; e = m + 11; a = o + 11. If p = 2, 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 a = o + 11 to q, which gives q = o + 12.\n2. Substitute o = r + 15 to q, which gives q = r + 27.\n3. Substitute r = b + 4 to q, which gives q = b + 31.\n4. Substitute b = c + 18 to q, which gives q = c + 49.\n5. Substitute c = p + 20 to q, which gives q = p + 69.\n6. Substitute p = 2 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 1612,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 16; d = h + 9; q = a + 1; o = r + 15; p = 2; c = p + 20; r = b + 4; h = e + 20; t = w + 5; b = c + 18; w = d + 15; e = m + 11; a = o + 11. If p = 2, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 11", "l": "m + 16", "u": "l + 13", "v": "u + 13", "e": "v + 2", "a": "e + 3", "r": "j + 17", "b": "r + 9", "q": "b + 16", "n": "q + 11", "z": "n + 18", "k": "z + 9", "j": 11}, "premises": {"j": 11}, "target": "a"}, "answer": {"steps": [["e", "v + 2", "v + 5"], ["v", "u + 13", "u + 18"], ["u", "l + 13", "l + 31"], ["l", "m + 16", "m + 47"], ["m", "j + 11", "j + 58"], ["j", 11, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"j": 11}, "is_reverse": true}}
| 1,613
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 13; a = e + 3; q = b + 16; r = j + 17; j = 11; z = n + 18; k = z + 9; l = m + 16; b = r + 9; e = v + 2; v = u + 13; m = j + 11; n = q + 11. Given that j = 11, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 2 to a, which gives a = v + 5.\n2. Substitute v = u + 13 to a, which gives a = u + 18.\n3. Substitute u = l + 13 to a, which gives a = l + 31.\n4. Substitute l = m + 16 to a, which gives a = m + 47.\n5. Substitute m = j + 11 to a, which gives a = j + 58.\n6. Substitute j = 11 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 1613,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 13; a = e + 3; q = b + 16; r = j + 17; j = 11; z = n + 18; k = z + 9; l = m + 16; b = r + 9; e = v + 2; v = u + 13; m = j + 11; n = q + 11. Given that j = 11, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 2", "i": "d + 12", "c": "i + 3", "u": "c + 9", "b": "u + 7", "h": "b + 4", "j": "f + 17", "o": "j + 15", "k": "o + 13", "e": "k + 14", "r": "e + 15", "p": "r + 2", "f": 13}, "premises": {"f": 13}, "target": "h"}, "answer": {"steps": [["b", "u + 7", "u + 11"], ["u", "c + 9", "c + 20"], ["c", "i + 3", "i + 23"], ["i", "d + 12", "d + 35"], ["d", "f + 2", "f + 37"], ["f", 13, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"f": 13}, "is_reverse": true}}
| 1,614
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 2; d = f + 2; u = c + 9; i = d + 12; b = u + 7; o = j + 15; h = b + 4; k = o + 13; r = e + 15; f = 13; e = k + 14; j = f + 17; c = i + 3. Given that f = 13, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 7 to h, which gives h = u + 11.\n2. Substitute u = c + 9 to h, which gives h = c + 20.\n3. Substitute c = i + 3 to h, which gives h = i + 23.\n4. Substitute i = d + 12 to h, which gives h = d + 35.\n5. Substitute d = f + 2 to h, which gives h = f + 37.\n6. Substitute f = 13 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 1614,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 2; d = f + 2; u = c + 9; i = d + 12; b = u + 7; o = j + 15; h = b + 4; k = o + 13; r = e + 15; f = 13; e = k + 14; j = f + 17; c = i + 3. Given that f = 13, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 2", "w": "r + 5", "h": "w + 7", "l": "h + 7", "g": "l + 19", "b": "g + 18", "f": "n + 5", "o": "f + 11", "a": "o + 16", "c": "a + 15", "t": "c + 5", "d": "t + 15", "n": 4}, "premises": {"n": 4}, "target": "b"}, "answer": {"steps": [["g", "l + 19", "l + 37"], ["l", "h + 7", "h + 44"], ["h", "w + 7", "w + 51"], ["w", "r + 5", "r + 56"], ["r", "n + 2", "n + 58"], ["n", 4, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"n": 4}, "is_reverse": true}}
| 1,615
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = 4; a = o + 16; b = g + 18; w = r + 5; c = a + 15; r = n + 2; t = c + 5; d = t + 15; f = n + 5; o = f + 11; g = l + 19; l = h + 7; h = w + 7. Given that n = 4, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 19 to b, which gives b = l + 37.\n2. Substitute l = h + 7 to b, which gives b = h + 44.\n3. Substitute h = w + 7 to b, which gives b = w + 51.\n4. Substitute w = r + 5 to b, which gives b = r + 56.\n5. Substitute r = n + 2 to b, which gives b = n + 58.\n6. Substitute n = 4 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 1615,
"question": "Suppose a collection of variables is related by the following definitions: n = 4; a = o + 16; b = g + 18; w = r + 5; c = a + 15; r = n + 2; t = c + 5; d = t + 15; f = n + 5; o = f + 11; g = l + 19; l = h + 7; h = w + 7. Given that n = 4, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 3", "l": "r + 1", "o": "l + 16", "t": "o + 5", "b": "t + 11", "v": "b + 12", "u": "c + 11", "x": "u + 16", "j": "x + 18", "q": "j + 9", "h": "q + 5", "p": "h + 1", "c": 10}, "premises": {"c": 10}, "target": "v"}, "answer": {"steps": [["b", "t + 11", "t + 23"], ["t", "o + 5", "o + 28"], ["o", "l + 16", "l + 44"], ["l", "r + 1", "r + 45"], ["r", "c + 3", "c + 48"], ["c", 10, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"c": 10}, "is_reverse": true}}
| 1,616
| 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 = o + 5; x = u + 16; u = c + 11; l = r + 1; o = l + 16; j = x + 18; b = t + 11; p = h + 1; c = 10; r = c + 3; v = b + 12; h = q + 5; q = j + 9. If c = 10, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 11 to v, which gives v = t + 23.\n2. Substitute t = o + 5 to v, which gives v = o + 28.\n3. Substitute o = l + 16 to v, which gives v = l + 44.\n4. Substitute l = r + 1 to v, which gives v = r + 45.\n5. Substitute r = c + 3 to v, which gives v = c + 48.\n6. Substitute c = 10 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 1616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 5; x = u + 16; u = c + 11; l = r + 1; o = l + 16; j = x + 18; b = t + 11; p = h + 1; c = 10; r = c + 3; v = b + 12; h = q + 5; q = j + 9. If c = 10, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 13", "t": "r + 2", "q": "t + 12", "y": "q + 13", "j": "y + 12", "x": "j + 18", "c": "i + 10", "b": "c + 8", "z": "b + 19", "v": "z + 2", "l": "v + 9", "p": "l + 3", "i": 18}, "premises": {"i": 18}, "target": "x"}, "answer": {"steps": [["j", "y + 12", "y + 30"], ["y", "q + 13", "q + 43"], ["q", "t + 12", "t + 55"], ["t", "r + 2", "r + 57"], ["r", "i + 13", "i + 70"], ["i", 18, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"i": 18}, "is_reverse": true}}
| 1,617
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 12; x = j + 18; r = i + 13; t = r + 2; c = i + 10; b = c + 8; v = z + 2; j = y + 12; z = b + 19; l = v + 9; i = 18; p = l + 3; y = q + 13. If i = 18, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 12 to x, which gives x = y + 30.\n2. Substitute y = q + 13 to x, which gives x = q + 43.\n3. Substitute q = t + 12 to x, which gives x = t + 55.\n4. Substitute t = r + 2 to x, which gives x = r + 57.\n5. Substitute r = i + 13 to x, which gives x = i + 70.\n6. Substitute i = 18 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 1617,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 12; x = j + 18; r = i + 13; t = r + 2; c = i + 10; b = c + 8; v = z + 2; j = y + 12; z = b + 19; l = v + 9; i = 18; p = l + 3; y = q + 13. If i = 18, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 14", "l": "h + 6", "q": "l + 9", "u": "q + 8", "r": "u + 10", "i": "r + 2", "n": "v + 8", "s": "n + 15", "c": "s + 8", "k": "c + 7", "g": "k + 6", "a": "g + 20", "v": 15}, "premises": {"v": 15}, "target": "i"}, "answer": {"steps": [["r", "u + 10", "u + 12"], ["u", "q + 8", "q + 20"], ["q", "l + 9", "l + 29"], ["l", "h + 6", "h + 35"], ["h", "v + 14", "v + 49"], ["v", 15, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,618
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = 15; n = v + 8; c = s + 8; q = l + 9; s = n + 15; g = k + 6; l = h + 6; i = r + 2; u = q + 8; h = v + 14; a = g + 20; r = u + 10; k = c + 7. Given that v = 15, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 10 to i, which gives i = u + 12.\n2. Substitute u = q + 8 to i, which gives i = q + 20.\n3. Substitute q = l + 9 to i, which gives i = l + 29.\n4. Substitute l = h + 6 to i, which gives i = h + 35.\n5. Substitute h = v + 14 to i, which gives i = v + 49.\n6. Substitute v = 15 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 1618,
"question": "Suppose a collection of variables is related by the following definitions: v = 15; n = v + 8; c = s + 8; q = l + 9; s = n + 15; g = k + 6; l = h + 6; i = r + 2; u = q + 8; h = v + 14; a = g + 20; r = u + 10; k = c + 7. Given that v = 15, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "p + 3", "m": "x + 8", "u": "m + 20", "s": "u + 4", "v": "s + 2", "l": "v + 7", "y": "p + 2", "k": "y + 13", "h": "k + 20", "w": "h + 9", "j": "w + 7", "g": "j + 1", "p": 5}, "premises": {"p": 5}, "target": "l"}, "answer": {"steps": [["v", "s + 2", "s + 9"], ["s", "u + 4", "u + 13"], ["u", "m + 20", "m + 33"], ["m", "x + 8", "x + 41"], ["x", "p + 3", "p + 44"], ["p", 5, "49"]], "target_var_name": "l", "target_value": 49, "value_dict": {"p": 5}, "is_reverse": true}}
| 1,619
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 20; w = h + 9; g = j + 1; v = s + 2; j = w + 7; l = v + 7; m = x + 8; p = 5; x = p + 3; s = u + 4; k = y + 13; u = m + 20; y = p + 2. If p = 5, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 2 to l, which gives l = s + 9.\n2. Substitute s = u + 4 to l, which gives l = u + 13.\n3. Substitute u = m + 20 to l, which gives l = m + 33.\n4. Substitute m = x + 8 to l, which gives l = x + 41.\n5. Substitute x = p + 3 to l, which gives l = p + 44.\n6. Substitute p = 5 to l, which gives l = 49.\n\nThus, the final answer is l = \\boxed{49}.",
"index": 1619,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 20; w = h + 9; g = j + 1; v = s + 2; j = w + 7; l = v + 7; m = x + 8; p = 5; x = p + 3; s = u + 4; k = y + 13; u = m + 20; y = p + 2. If p = 5, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 11", "h": "r + 12", "u": "h + 9", "i": "u + 4", "m": "i + 5", "w": "m + 5", "x": "z + 4", "a": "x + 15", "n": "a + 5", "v": "n + 9", "q": "v + 5", "t": "q + 9", "z": 11}, "premises": {"z": 11}, "target": "w"}, "answer": {"steps": [["m", "i + 5", "i + 10"], ["i", "u + 4", "u + 14"], ["u", "h + 9", "h + 23"], ["h", "r + 12", "r + 35"], ["r", "z + 11", "z + 46"], ["z", 11, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"z": 11}, "is_reverse": true}}
| 1,620
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 9; n = a + 5; v = n + 9; u = h + 9; h = r + 12; m = i + 5; q = v + 5; r = z + 11; a = x + 15; x = z + 4; z = 11; w = m + 5; i = u + 4. Given that z = 11, find the 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 m = i + 5 to w, which gives w = i + 10.\n2. Substitute i = u + 4 to w, which gives w = u + 14.\n3. Substitute u = h + 9 to w, which gives w = h + 23.\n4. Substitute h = r + 12 to w, which gives w = r + 35.\n5. Substitute r = z + 11 to w, which gives w = z + 46.\n6. Substitute z = 11 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 1620,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 9; n = a + 5; v = n + 9; u = h + 9; h = r + 12; m = i + 5; q = v + 5; r = z + 11; a = x + 15; x = z + 4; z = 11; w = m + 5; i = u + 4. Given that z = 11, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 14", "b": "v + 5", "m": "b + 2", "a": "m + 16", "t": "a + 8", "x": "t + 2", "u": "d + 2", "r": "u + 5", "h": "r + 17", "g": "h + 14", "y": "g + 13", "s": "y + 14", "d": 16}, "premises": {"d": 16}, "target": "x"}, "answer": {"steps": [["t", "a + 8", "a + 10"], ["a", "m + 16", "m + 26"], ["m", "b + 2", "b + 28"], ["b", "v + 5", "v + 33"], ["v", "d + 14", "d + 47"], ["d", 16, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"d": 16}, "is_reverse": true}}
| 1,621
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 16; s = y + 14; h = r + 17; a = m + 16; b = v + 5; g = h + 14; u = d + 2; v = d + 14; x = t + 2; y = g + 13; m = b + 2; t = a + 8; r = u + 5. If d = 16, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 8 to x, which gives x = a + 10.\n2. Substitute a = m + 16 to x, which gives x = m + 26.\n3. Substitute m = b + 2 to x, which gives x = b + 28.\n4. Substitute b = v + 5 to x, which gives x = v + 33.\n5. Substitute v = d + 14 to x, which gives x = d + 47.\n6. Substitute d = 16 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 1621,
"question": "Consider a system of variables where each variable is defined as follows: d = 16; s = y + 14; h = r + 17; a = m + 16; b = v + 5; g = h + 14; u = d + 2; v = d + 14; x = t + 2; y = g + 13; m = b + 2; t = a + 8; r = u + 5. If d = 16, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 1", "q": "z + 14", "m": "q + 12", "y": "m + 16", "s": "y + 11", "i": "s + 1", "x": "j + 11", "r": "x + 7", "t": "r + 13", "c": "t + 9", "d": "c + 10", "p": "d + 1", "j": 17}, "premises": {"j": 17}, "target": "i"}, "answer": {"steps": [["s", "y + 11", "y + 12"], ["y", "m + 16", "m + 28"], ["m", "q + 12", "q + 40"], ["q", "z + 14", "z + 54"], ["z", "j + 1", "j + 55"], ["j", 17, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"j": 17}, "is_reverse": true}}
| 1,622
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = q + 12; s = y + 11; i = s + 1; z = j + 1; j = 17; q = z + 14; p = d + 1; x = j + 11; t = r + 13; d = c + 10; c = t + 9; y = m + 16; r = x + 7. Given that j = 17, find the 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 s = y + 11 to i, which gives i = y + 12.\n2. Substitute y = m + 16 to i, which gives i = m + 28.\n3. Substitute m = q + 12 to i, which gives i = q + 40.\n4. Substitute q = z + 14 to i, which gives i = z + 54.\n5. Substitute z = j + 1 to i, which gives i = j + 55.\n6. Substitute j = 17 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 1622,
"question": "Suppose a collection of variables is related by the following definitions: m = q + 12; s = y + 11; i = s + 1; z = j + 1; j = 17; q = z + 14; p = d + 1; x = j + 11; t = r + 13; d = c + 10; c = t + 9; y = m + 16; r = x + 7. Given that j = 17, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 3", "z": "c + 13", "u": "z + 13", "e": "u + 11", "k": "e + 18", "q": "k + 12", "b": "p + 1", "y": "b + 6", "v": "y + 2", "j": "v + 11", "f": "j + 20", "o": "f + 12", "p": 20}, "premises": {"p": 20}, "target": "q"}, "answer": {"steps": [["k", "e + 18", "e + 30"], ["e", "u + 11", "u + 41"], ["u", "z + 13", "z + 54"], ["z", "c + 13", "c + 67"], ["c", "p + 3", "p + 70"], ["p", 20, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"p": 20}, "is_reverse": true}}
| 1,623
| 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 = e + 18; z = c + 13; f = j + 20; v = y + 2; u = z + 13; e = u + 11; j = v + 11; p = 20; q = k + 12; c = p + 3; y = b + 6; b = p + 1; o = f + 12. If p = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 18 to q, which gives q = e + 30.\n2. Substitute e = u + 11 to q, which gives q = u + 41.\n3. Substitute u = z + 13 to q, which gives q = z + 54.\n4. Substitute z = c + 13 to q, which gives q = c + 67.\n5. Substitute c = p + 3 to q, which gives q = p + 70.\n6. Substitute p = 20 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 1623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 18; z = c + 13; f = j + 20; v = y + 2; u = z + 13; e = u + 11; j = v + 11; p = 20; q = k + 12; c = p + 3; y = b + 6; b = p + 1; o = f + 12. If p = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 20", "j": "l + 7", "v": "j + 11", "d": "v + 7", "x": "d + 6", "u": "x + 12", "w": "k + 14", "o": "w + 16", "r": "o + 9", "m": "r + 5", "n": "m + 12", "q": "n + 15", "k": 19}, "premises": {"k": 19}, "target": "u"}, "answer": {"steps": [["x", "d + 6", "d + 18"], ["d", "v + 7", "v + 25"], ["v", "j + 11", "j + 36"], ["j", "l + 7", "l + 43"], ["l", "k + 20", "k + 63"], ["k", 19, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"k": 19}, "is_reverse": true}}
| 1,624
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 15; v = j + 11; u = x + 12; l = k + 20; d = v + 7; r = o + 9; m = r + 5; w = k + 14; x = d + 6; j = l + 7; o = w + 16; n = m + 12; k = 19. If k = 19, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 6 to u, which gives u = d + 18.\n2. Substitute d = v + 7 to u, which gives u = v + 25.\n3. Substitute v = j + 11 to u, which gives u = j + 36.\n4. Substitute j = l + 7 to u, which gives u = l + 43.\n5. Substitute l = k + 20 to u, which gives u = k + 63.\n6. Substitute k = 19 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 1624,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 15; v = j + 11; u = x + 12; l = k + 20; d = v + 7; r = o + 9; m = r + 5; w = k + 14; x = d + 6; j = l + 7; o = w + 16; n = m + 12; k = 19. If k = 19, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 3", "n": "y + 11", "p": "n + 8", "q": "p + 6", "e": "q + 15", "u": "e + 3", "v": "g + 20", "z": "v + 18", "b": "z + 20", "m": "b + 16", "d": "m + 13", "j": "d + 17", "g": 10}, "premises": {"g": 10}, "target": "u"}, "answer": {"steps": [["e", "q + 15", "q + 18"], ["q", "p + 6", "p + 24"], ["p", "n + 8", "n + 32"], ["n", "y + 11", "y + 43"], ["y", "g + 3", "g + 46"], ["g", 10, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"g": 10}, "is_reverse": true}}
| 1,625
| 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 = 10; y = g + 3; z = v + 18; q = p + 6; b = z + 20; j = d + 17; p = n + 8; u = e + 3; e = q + 15; n = y + 11; d = m + 13; v = g + 20; m = b + 16. If g = 10, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 15 to u, which gives u = q + 18.\n2. Substitute q = p + 6 to u, which gives u = p + 24.\n3. Substitute p = n + 8 to u, which gives u = n + 32.\n4. Substitute n = y + 11 to u, which gives u = y + 43.\n5. Substitute y = g + 3 to u, which gives u = g + 46.\n6. Substitute g = 10 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 1625,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 10; y = g + 3; z = v + 18; q = p + 6; b = z + 20; j = d + 17; p = n + 8; u = e + 3; e = q + 15; n = y + 11; d = m + 13; v = g + 20; m = b + 16. If g = 10, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 14", "s": "f + 7", "m": "s + 9", "w": "m + 7", "q": "w + 9", "k": "q + 13", "d": "l + 7", "t": "d + 15", "j": "t + 11", "u": "j + 14", "n": "u + 5", "x": "n + 17", "l": 4}, "premises": {"l": 4}, "target": "k"}, "answer": {"steps": [["q", "w + 9", "w + 22"], ["w", "m + 7", "m + 29"], ["m", "s + 9", "s + 38"], ["s", "f + 7", "f + 45"], ["f", "l + 14", "l + 59"], ["l", 4, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"l": 4}, "is_reverse": true}}
| 1,626
| 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 = d + 15; w = m + 7; s = f + 7; u = j + 14; n = u + 5; q = w + 9; m = s + 9; j = t + 11; l = 4; x = n + 17; k = q + 13; d = l + 7; f = l + 14. If l = 4, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 9 to k, which gives k = w + 22.\n2. Substitute w = m + 7 to k, which gives k = m + 29.\n3. Substitute m = s + 9 to k, which gives k = s + 38.\n4. Substitute s = f + 7 to k, which gives k = f + 45.\n5. Substitute f = l + 14 to k, which gives k = l + 59.\n6. Substitute l = 4 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 1626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 15; w = m + 7; s = f + 7; u = j + 14; n = u + 5; q = w + 9; m = s + 9; j = t + 11; l = 4; x = n + 17; k = q + 13; d = l + 7; f = l + 14. If l = 4, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 12", "l": "e + 5", "b": "l + 20", "r": "b + 18", "u": "r + 20", "m": "u + 7", "s": "k + 20", "p": "s + 9", "v": "p + 19", "h": "v + 20", "d": "h + 3", "o": "d + 19", "k": 1}, "premises": {"k": 1}, "target": "m"}, "answer": {"steps": [["u", "r + 20", "r + 27"], ["r", "b + 18", "b + 45"], ["b", "l + 20", "l + 65"], ["l", "e + 5", "e + 70"], ["e", "k + 12", "k + 82"], ["k", 1, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"k": 1}, "is_reverse": true}}
| 1,627
| 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 = b + 18; p = s + 9; e = k + 12; k = 1; d = h + 3; m = u + 7; s = k + 20; l = e + 5; h = v + 20; u = r + 20; b = l + 20; o = d + 19; v = p + 19. If k = 1, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 20 to m, which gives m = r + 27.\n2. Substitute r = b + 18 to m, which gives m = b + 45.\n3. Substitute b = l + 20 to m, which gives m = l + 65.\n4. Substitute l = e + 5 to m, which gives m = e + 70.\n5. Substitute e = k + 12 to m, which gives m = k + 82.\n6. Substitute k = 1 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 1627,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 18; p = s + 9; e = k + 12; k = 1; d = h + 3; m = u + 7; s = k + 20; l = e + 5; h = v + 20; u = r + 20; b = l + 20; o = d + 19; v = p + 19. If k = 1, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 17", "s": "q + 8", "h": "s + 1", "p": "h + 12", "n": "p + 12", "e": "n + 18", "f": "u + 6", "v": "f + 14", "w": "v + 2", "m": "w + 2", "l": "m + 12", "c": "l + 3", "u": 12}, "premises": {"u": 12}, "target": "e"}, "answer": {"steps": [["n", "p + 12", "p + 30"], ["p", "h + 12", "h + 42"], ["h", "s + 1", "s + 43"], ["s", "q + 8", "q + 51"], ["q", "u + 17", "u + 68"], ["u", 12, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"u": 12}, "is_reverse": true}}
| 1,628
| 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 = h + 12; w = v + 2; l = m + 12; u = 12; v = f + 14; c = l + 3; e = n + 18; h = s + 1; m = w + 2; n = p + 12; s = q + 8; q = u + 17; f = u + 6. If u = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 12 to e, which gives e = p + 30.\n2. Substitute p = h + 12 to e, which gives e = h + 42.\n3. Substitute h = s + 1 to e, which gives e = s + 43.\n4. Substitute s = q + 8 to e, which gives e = q + 51.\n5. Substitute q = u + 17 to e, which gives e = u + 68.\n6. Substitute u = 12 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 1628,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 12; w = v + 2; l = m + 12; u = 12; v = f + 14; c = l + 3; e = n + 18; h = s + 1; m = w + 2; n = p + 12; s = q + 8; q = u + 17; f = u + 6. If u = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 12", "u": "b + 1", "d": "u + 14", "h": "d + 3", "m": "h + 1", "l": "m + 1", "s": "c + 4", "q": "s + 4", "i": "q + 20", "t": "i + 17", "r": "t + 10", "n": "r + 2", "c": 17}, "premises": {"c": 17}, "target": "l"}, "answer": {"steps": [["m", "h + 1", "h + 2"], ["h", "d + 3", "d + 5"], ["d", "u + 14", "u + 19"], ["u", "b + 1", "b + 20"], ["b", "c + 12", "c + 32"], ["c", 17, "49"]], "target_var_name": "l", "target_value": 49, "value_dict": {"c": 17}, "is_reverse": true}}
| 1,629
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 4; m = h + 1; t = i + 17; h = d + 3; c = 17; b = c + 12; l = m + 1; q = s + 4; d = u + 14; i = q + 20; r = t + 10; u = b + 1; n = r + 2. If c = 17, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 1 to l, which gives l = h + 2.\n2. Substitute h = d + 3 to l, which gives l = d + 5.\n3. Substitute d = u + 14 to l, which gives l = u + 19.\n4. Substitute u = b + 1 to l, which gives l = b + 20.\n5. Substitute b = c + 12 to l, which gives l = c + 32.\n6. Substitute c = 17 to l, which gives l = 49.\n\nThus, the final answer is l = \\boxed{49}.",
"index": 1629,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 4; m = h + 1; t = i + 17; h = d + 3; c = 17; b = c + 12; l = m + 1; q = s + 4; d = u + 14; i = q + 20; r = t + 10; u = b + 1; n = r + 2. If c = 17, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 17", "l": "w + 2", "x": "l + 15", "c": "x + 1", "f": "c + 5", "o": "f + 8", "d": "u + 18", "v": "d + 5", "k": "v + 18", "p": "k + 20", "h": "p + 7", "s": "h + 6", "u": 14}, "premises": {"u": 14}, "target": "o"}, "answer": {"steps": [["f", "c + 5", "c + 13"], ["c", "x + 1", "x + 14"], ["x", "l + 15", "l + 29"], ["l", "w + 2", "w + 31"], ["w", "u + 17", "u + 48"], ["u", 14, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"u": 14}, "is_reverse": true}}
| 1,630
| 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 = u + 17; c = x + 1; k = v + 18; d = u + 18; l = w + 2; p = k + 20; o = f + 8; f = c + 5; s = h + 6; u = 14; x = l + 15; h = p + 7; v = d + 5. If u = 14, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 5 to o, which gives o = c + 13.\n2. Substitute c = x + 1 to o, which gives o = x + 14.\n3. Substitute x = l + 15 to o, which gives o = l + 29.\n4. Substitute l = w + 2 to o, which gives o = w + 31.\n5. Substitute w = u + 17 to o, which gives o = u + 48.\n6. Substitute u = 14 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 1630,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 17; c = x + 1; k = v + 18; d = u + 18; l = w + 2; p = k + 20; o = f + 8; f = c + 5; s = h + 6; u = 14; x = l + 15; h = p + 7; v = d + 5. If u = 14, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 7", "t": "y + 2", "l": "t + 14", "u": "l + 13", "d": "u + 15", "i": "d + 9", "z": "w + 18", "x": "z + 2", "f": "x + 11", "r": "f + 20", "a": "r + 15", "q": "a + 15", "w": 1}, "premises": {"w": 1}, "target": "i"}, "answer": {"steps": [["d", "u + 15", "u + 24"], ["u", "l + 13", "l + 37"], ["l", "t + 14", "t + 51"], ["t", "y + 2", "y + 53"], ["y", "w + 7", "w + 60"], ["w", 1, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"w": 1}, "is_reverse": true}}
| 1,631
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 14; w = 1; q = a + 15; z = w + 18; t = y + 2; x = z + 2; d = u + 15; f = x + 11; r = f + 20; y = w + 7; a = r + 15; i = d + 9; u = l + 13. Given that w = 1, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 15 to i, which gives i = u + 24.\n2. Substitute u = l + 13 to i, which gives i = l + 37.\n3. Substitute l = t + 14 to i, which gives i = t + 51.\n4. Substitute t = y + 2 to i, which gives i = y + 53.\n5. Substitute y = w + 7 to i, which gives i = w + 60.\n6. Substitute w = 1 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 1631,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 14; w = 1; q = a + 15; z = w + 18; t = y + 2; x = z + 2; d = u + 15; f = x + 11; r = f + 20; y = w + 7; a = r + 15; i = d + 9; u = l + 13. Given that w = 1, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 8", "a": "j + 1", "x": "a + 1", "z": "x + 2", "e": "z + 9", "f": "e + 14", "r": "h + 20", "i": "r + 11", "p": "i + 8", "u": "p + 15", "c": "u + 3", "n": "c + 15", "h": 1}, "premises": {"h": 1}, "target": "f"}, "answer": {"steps": [["e", "z + 9", "z + 23"], ["z", "x + 2", "x + 25"], ["x", "a + 1", "a + 26"], ["a", "j + 1", "j + 27"], ["j", "h + 8", "h + 35"], ["h", 1, "36"]], "target_var_name": "f", "target_value": 36, "value_dict": {"h": 1}, "is_reverse": true}}
| 1,632
| 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 = r + 11; u = p + 15; p = i + 8; j = h + 8; x = a + 1; f = e + 14; a = j + 1; z = x + 2; r = h + 20; n = c + 15; h = 1; c = u + 3; e = z + 9. If h = 1, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 36,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 9 to f, which gives f = z + 23.\n2. Substitute z = x + 2 to f, which gives f = x + 25.\n3. Substitute x = a + 1 to f, which gives f = a + 26.\n4. Substitute a = j + 1 to f, which gives f = j + 27.\n5. Substitute j = h + 8 to f, which gives f = h + 35.\n6. Substitute h = 1 to f, which gives f = 36.\n\nThus, the final answer is f = \\boxed{36}.",
"index": 1632,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 11; u = p + 15; p = i + 8; j = h + 8; x = a + 1; f = e + 14; a = j + 1; z = x + 2; r = h + 20; n = c + 15; h = 1; c = u + 3; e = z + 9. If h = 1, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 11", "f": "n + 9", "a": "f + 6", "e": "a + 15", "s": "e + 17", "m": "s + 3", "z": "i + 18", "x": "z + 4", "q": "x + 16", "w": "q + 13", "j": "w + 4", "g": "j + 2", "i": 17}, "premises": {"i": 17}, "target": "m"}, "answer": {"steps": [["s", "e + 17", "e + 20"], ["e", "a + 15", "a + 35"], ["a", "f + 6", "f + 41"], ["f", "n + 9", "n + 50"], ["n", "i + 11", "i + 61"], ["i", 17, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"i": 17}, "is_reverse": true}}
| 1,633
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 15; s = e + 17; x = z + 4; j = w + 4; i = 17; g = j + 2; w = q + 13; n = i + 11; q = x + 16; m = s + 3; z = i + 18; f = n + 9; a = f + 6. Given that i = 17, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 17 to m, which gives m = e + 20.\n2. Substitute e = a + 15 to m, which gives m = a + 35.\n3. Substitute a = f + 6 to m, which gives m = f + 41.\n4. Substitute f = n + 9 to m, which gives m = n + 50.\n5. Substitute n = i + 11 to m, which gives m = i + 61.\n6. Substitute i = 17 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 1633,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 15; s = e + 17; x = z + 4; j = w + 4; i = 17; g = j + 2; w = q + 13; n = i + 11; q = x + 16; m = s + 3; z = i + 18; f = n + 9; a = f + 6. Given that i = 17, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 11", "o": "b + 16", "w": "o + 8", "c": "w + 9", "d": "c + 17", "y": "d + 6", "n": "a + 9", "p": "n + 18", "m": "p + 13", "i": "m + 19", "x": "i + 8", "k": "x + 17", "a": 10}, "premises": {"a": 10}, "target": "y"}, "answer": {"steps": [["d", "c + 17", "c + 23"], ["c", "w + 9", "w + 32"], ["w", "o + 8", "o + 40"], ["o", "b + 16", "b + 56"], ["b", "a + 11", "a + 67"], ["a", 10, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"a": 10}, "is_reverse": true}}
| 1,634
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 18; i = m + 19; o = b + 16; a = 10; c = w + 9; k = x + 17; m = p + 13; w = o + 8; y = d + 6; x = i + 8; n = a + 9; b = a + 11; d = c + 17. If a = 10, 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 d = c + 17 to y, which gives y = c + 23.\n2. Substitute c = w + 9 to y, which gives y = w + 32.\n3. Substitute w = o + 8 to y, which gives y = o + 40.\n4. Substitute o = b + 16 to y, which gives y = b + 56.\n5. Substitute b = a + 11 to y, which gives y = a + 67.\n6. Substitute a = 10 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 1634,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 18; i = m + 19; o = b + 16; a = 10; c = w + 9; k = x + 17; m = p + 13; w = o + 8; y = d + 6; x = i + 8; n = a + 9; b = a + 11; d = c + 17. If a = 10, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 3", "v": "l + 8", "z": "v + 8", "o": "z + 9", "w": "o + 17", "c": "w + 4", "b": "h + 6", "y": "b + 20", "f": "y + 9", "q": "f + 3", "x": "q + 10", "g": "x + 10", "h": 4}, "premises": {"h": 4}, "target": "c"}, "answer": {"steps": [["w", "o + 17", "o + 21"], ["o", "z + 9", "z + 30"], ["z", "v + 8", "v + 38"], ["v", "l + 8", "l + 46"], ["l", "h + 3", "h + 49"], ["h", 4, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"h": 4}, "is_reverse": true}}
| 1,635
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 9; f = y + 9; x = q + 10; v = l + 8; l = h + 3; b = h + 6; c = w + 4; w = o + 17; z = v + 8; h = 4; g = x + 10; q = f + 3; y = b + 20. Given that h = 4, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 17 to c, which gives c = o + 21.\n2. Substitute o = z + 9 to c, which gives c = z + 30.\n3. Substitute z = v + 8 to c, which gives c = v + 38.\n4. Substitute v = l + 8 to c, which gives c = l + 46.\n5. Substitute l = h + 3 to c, which gives c = h + 49.\n6. Substitute h = 4 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 1635,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 9; f = y + 9; x = q + 10; v = l + 8; l = h + 3; b = h + 6; c = w + 4; w = o + 17; z = v + 8; h = 4; g = x + 10; q = f + 3; y = b + 20. Given that h = 4, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 9", "z": "n + 15", "a": "z + 2", "f": "a + 3", "e": "f + 6", "x": "e + 10", "d": "w + 6", "m": "d + 2", "s": "m + 9", "b": "s + 19", "l": "b + 4", "r": "l + 11", "w": 8}, "premises": {"w": 8}, "target": "x"}, "answer": {"steps": [["e", "f + 6", "f + 16"], ["f", "a + 3", "a + 19"], ["a", "z + 2", "z + 21"], ["z", "n + 15", "n + 36"], ["n", "w + 9", "w + 45"], ["w", 8, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"w": 8}, "is_reverse": true}}
| 1,636
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 11; n = w + 9; s = m + 9; z = n + 15; b = s + 19; d = w + 6; a = z + 2; e = f + 6; x = e + 10; m = d + 2; l = b + 4; w = 8; f = a + 3. If w = 8, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 6 to x, which gives x = f + 16.\n2. Substitute f = a + 3 to x, which gives x = a + 19.\n3. Substitute a = z + 2 to x, which gives x = z + 21.\n4. Substitute z = n + 15 to x, which gives x = n + 36.\n5. Substitute n = w + 9 to x, which gives x = w + 45.\n6. Substitute w = 8 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 1636,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 11; n = w + 9; s = m + 9; z = n + 15; b = s + 19; d = w + 6; a = z + 2; e = f + 6; x = e + 10; m = d + 2; l = b + 4; w = 8; f = a + 3. If w = 8, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 8", "v": "g + 12", "d": "v + 10", "s": "d + 10", "j": "s + 7", "p": "j + 14", "b": "q + 7", "t": "b + 18", "i": "t + 1", "o": "i + 1", "c": "o + 6", "u": "c + 2", "q": 16}, "premises": {"q": 16}, "target": "p"}, "answer": {"steps": [["j", "s + 7", "s + 21"], ["s", "d + 10", "d + 31"], ["d", "v + 10", "v + 41"], ["v", "g + 12", "g + 53"], ["g", "q + 8", "q + 61"], ["q", 16, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"q": 16}, "is_reverse": true}}
| 1,637
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = q + 7; t = b + 18; o = i + 1; p = j + 14; u = c + 2; c = o + 6; d = v + 10; i = t + 1; v = g + 12; j = s + 7; s = d + 10; g = q + 8; q = 16. Given that q = 16, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 7 to p, which gives p = s + 21.\n2. Substitute s = d + 10 to p, which gives p = d + 31.\n3. Substitute d = v + 10 to p, which gives p = v + 41.\n4. Substitute v = g + 12 to p, which gives p = g + 53.\n5. Substitute g = q + 8 to p, which gives p = q + 61.\n6. Substitute q = 16 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 1637,
"question": "Suppose a collection of variables is related by the following definitions: b = q + 7; t = b + 18; o = i + 1; p = j + 14; u = c + 2; c = o + 6; d = v + 10; i = t + 1; v = g + 12; j = s + 7; s = d + 10; g = q + 8; q = 16. Given that q = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 10", "n": "z + 1", "g": "n + 16", "t": "g + 16", "f": "t + 15", "q": "f + 9", "o": "v + 8", "y": "o + 13", "l": "y + 9", "a": "l + 8", "p": "a + 19", "b": "p + 11", "v": 5}, "premises": {"v": 5}, "target": "q"}, "answer": {"steps": [["f", "t + 15", "t + 24"], ["t", "g + 16", "g + 40"], ["g", "n + 16", "n + 56"], ["n", "z + 1", "z + 57"], ["z", "v + 10", "v + 67"], ["v", 5, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"v": 5}, "is_reverse": true}}
| 1,638
| 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 = v + 10; g = n + 16; t = g + 16; y = o + 13; o = v + 8; p = a + 19; q = f + 9; v = 5; a = l + 8; b = p + 11; n = z + 1; f = t + 15; l = y + 9. If v = 5, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 15 to q, which gives q = t + 24.\n2. Substitute t = g + 16 to q, which gives q = g + 40.\n3. Substitute g = n + 16 to q, which gives q = n + 56.\n4. Substitute n = z + 1 to q, which gives q = z + 57.\n5. Substitute z = v + 10 to q, which gives q = v + 67.\n6. Substitute v = 5 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 1638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = v + 10; g = n + 16; t = g + 16; y = o + 13; o = v + 8; p = a + 19; q = f + 9; v = 5; a = l + 8; b = p + 11; n = z + 1; f = t + 15; l = y + 9. If v = 5, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 18", "a": "q + 19", "m": "a + 15", "u": "m + 6", "i": "u + 9", "c": "i + 8", "b": "w + 11", "j": "b + 8", "t": "j + 19", "f": "t + 12", "p": "f + 7", "g": "p + 17", "w": 9}, "premises": {"w": 9}, "target": "c"}, "answer": {"steps": [["i", "u + 9", "u + 17"], ["u", "m + 6", "m + 23"], ["m", "a + 15", "a + 38"], ["a", "q + 19", "q + 57"], ["q", "w + 18", "w + 75"], ["w", 9, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"w": 9}, "is_reverse": true}}
| 1,639
| 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 + 15; i = u + 9; g = p + 17; t = j + 19; w = 9; b = w + 11; f = t + 12; j = b + 8; p = f + 7; q = w + 18; a = q + 19; u = m + 6; c = i + 8. If w = 9, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 9 to c, which gives c = u + 17.\n2. Substitute u = m + 6 to c, which gives c = m + 23.\n3. Substitute m = a + 15 to c, which gives c = a + 38.\n4. Substitute a = q + 19 to c, which gives c = q + 57.\n5. Substitute q = w + 18 to c, which gives c = w + 75.\n6. Substitute w = 9 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 1639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 15; i = u + 9; g = p + 17; t = j + 19; w = 9; b = w + 11; f = t + 12; j = b + 8; p = f + 7; q = w + 18; a = q + 19; u = m + 6; c = i + 8. If w = 9, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 14", "p": "i + 10", "f": "p + 12", "z": "f + 10", "b": "z + 17", "g": "b + 13", "y": "n + 3", "m": "y + 16", "x": "m + 14", "w": "x + 14", "r": "w + 14", "j": "r + 1", "n": 8}, "premises": {"n": 8}, "target": "g"}, "answer": {"steps": [["b", "z + 17", "z + 30"], ["z", "f + 10", "f + 40"], ["f", "p + 12", "p + 52"], ["p", "i + 10", "i + 62"], ["i", "n + 14", "n + 76"], ["n", 8, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"n": 8}, "is_reverse": true}}
| 1,640
| 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 = y + 16; f = p + 12; p = i + 10; i = n + 14; y = n + 3; r = w + 14; b = z + 17; z = f + 10; w = x + 14; n = 8; x = m + 14; j = r + 1; g = b + 13. If n = 8, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 17 to g, which gives g = z + 30.\n2. Substitute z = f + 10 to g, which gives g = f + 40.\n3. Substitute f = p + 12 to g, which gives g = p + 52.\n4. Substitute p = i + 10 to g, which gives g = i + 62.\n5. Substitute i = n + 14 to g, which gives g = n + 76.\n6. Substitute n = 8 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 1640,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 16; f = p + 12; p = i + 10; i = n + 14; y = n + 3; r = w + 14; b = z + 17; z = f + 10; w = x + 14; n = 8; x = m + 14; j = r + 1; g = b + 13. If n = 8, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 7", "d": "x + 3", "s": "d + 13", "z": "s + 19", "t": "z + 18", "i": "t + 17", "u": "r + 20", "l": "u + 15", "j": "l + 12", "q": "j + 2", "w": "q + 16", "n": "w + 1", "r": 18}, "premises": {"r": 18}, "target": "i"}, "answer": {"steps": [["t", "z + 18", "z + 35"], ["z", "s + 19", "s + 54"], ["s", "d + 13", "d + 67"], ["d", "x + 3", "x + 70"], ["x", "r + 7", "r + 77"], ["r", 18, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"r": 18}, "is_reverse": true}}
| 1,641
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = t + 17; u = r + 20; l = u + 15; x = r + 7; r = 18; d = x + 3; j = l + 12; s = d + 13; t = z + 18; q = j + 2; n = w + 1; w = q + 16; z = s + 19. Given that r = 18, find the 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 t = z + 18 to i, which gives i = z + 35.\n2. Substitute z = s + 19 to i, which gives i = s + 54.\n3. Substitute s = d + 13 to i, which gives i = d + 67.\n4. Substitute d = x + 3 to i, which gives i = x + 70.\n5. Substitute x = r + 7 to i, which gives i = r + 77.\n6. Substitute r = 18 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 1641,
"question": "Suppose a collection of variables is related by the following definitions: i = t + 17; u = r + 20; l = u + 15; x = r + 7; r = 18; d = x + 3; j = l + 12; s = d + 13; t = z + 18; q = j + 2; n = w + 1; w = q + 16; z = s + 19. Given that r = 18, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 4", "c": "k + 5", "u": "c + 16", "f": "u + 16", "d": "f + 8", "n": "d + 11", "b": "i + 11", "y": "b + 5", "q": "y + 8", "r": "q + 16", "e": "r + 14", "g": "e + 14", "i": 20}, "premises": {"i": 20}, "target": "n"}, "answer": {"steps": [["d", "f + 8", "f + 19"], ["f", "u + 16", "u + 35"], ["u", "c + 16", "c + 51"], ["c", "k + 5", "k + 56"], ["k", "i + 4", "i + 60"], ["i", 20, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"i": 20}, "is_reverse": true}}
| 1,642
| 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 = k + 5; i = 20; g = e + 14; b = i + 11; u = c + 16; q = y + 8; f = u + 16; k = i + 4; n = d + 11; y = b + 5; e = r + 14; r = q + 16; d = f + 8. If i = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 8 to n, which gives n = f + 19.\n2. Substitute f = u + 16 to n, which gives n = u + 35.\n3. Substitute u = c + 16 to n, which gives n = c + 51.\n4. Substitute c = k + 5 to n, which gives n = k + 56.\n5. Substitute k = i + 4 to n, which gives n = i + 60.\n6. Substitute i = 20 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 1642,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 5; i = 20; g = e + 14; b = i + 11; u = c + 16; q = y + 8; f = u + 16; k = i + 4; n = d + 11; y = b + 5; e = r + 14; r = q + 16; d = f + 8. If i = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 14", "p": "a + 4", "s": "p + 4", "e": "s + 6", "c": "e + 19", "r": "c + 2", "m": "v + 11", "n": "m + 12", "t": "n + 11", "j": "t + 5", "i": "j + 3", "x": "i + 8", "v": 9}, "premises": {"v": 9}, "target": "r"}, "answer": {"steps": [["c", "e + 19", "e + 21"], ["e", "s + 6", "s + 27"], ["s", "p + 4", "p + 31"], ["p", "a + 4", "a + 35"], ["a", "v + 14", "v + 49"], ["v", 9, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"v": 9}, "is_reverse": true}}
| 1,643
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 5; c = e + 19; e = s + 6; t = n + 11; n = m + 12; i = j + 3; x = i + 8; p = a + 4; v = 9; s = p + 4; r = c + 2; m = v + 11; a = v + 14. If v = 9, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 19 to r, which gives r = e + 21.\n2. Substitute e = s + 6 to r, which gives r = s + 27.\n3. Substitute s = p + 4 to r, which gives r = p + 31.\n4. Substitute p = a + 4 to r, which gives r = a + 35.\n5. Substitute a = v + 14 to r, which gives r = v + 49.\n6. Substitute v = 9 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 1643,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 5; c = e + 19; e = s + 6; t = n + 11; n = m + 12; i = j + 3; x = i + 8; p = a + 4; v = 9; s = p + 4; r = c + 2; m = v + 11; a = v + 14. If v = 9, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 20", "n": "x + 18", "f": "n + 12", "w": "f + 4", "d": "w + 20", "k": "d + 2", "u": "q + 2", "z": "u + 6", "v": "z + 3", "a": "v + 17", "h": "a + 18", "j": "h + 13", "q": 11}, "premises": {"q": 11}, "target": "k"}, "answer": {"steps": [["d", "w + 20", "w + 22"], ["w", "f + 4", "f + 26"], ["f", "n + 12", "n + 38"], ["n", "x + 18", "x + 56"], ["x", "q + 20", "q + 76"], ["q", 11, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"q": 11}, "is_reverse": true}}
| 1,644
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 12; k = d + 2; u = q + 2; w = f + 4; q = 11; n = x + 18; v = z + 3; x = q + 20; j = h + 13; a = v + 17; z = u + 6; h = a + 18; d = w + 20. Given that q = 11, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 20 to k, which gives k = w + 22.\n2. Substitute w = f + 4 to k, which gives k = f + 26.\n3. Substitute f = n + 12 to k, which gives k = n + 38.\n4. Substitute n = x + 18 to k, which gives k = x + 56.\n5. Substitute x = q + 20 to k, which gives k = q + 76.\n6. Substitute q = 11 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 1644,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 12; k = d + 2; u = q + 2; w = f + 4; q = 11; n = x + 18; v = z + 3; x = q + 20; j = h + 13; a = v + 17; z = u + 6; h = a + 18; d = w + 20. Given that q = 11, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 12", "d": "k + 7", "f": "d + 15", "x": "f + 12", "w": "x + 5", "l": "w + 7", "y": "b + 16", "u": "y + 4", "o": "u + 7", "n": "o + 12", "r": "n + 15", "c": "r + 14", "b": 8}, "premises": {"b": 8}, "target": "l"}, "answer": {"steps": [["w", "x + 5", "x + 12"], ["x", "f + 12", "f + 24"], ["f", "d + 15", "d + 39"], ["d", "k + 7", "k + 46"], ["k", "b + 12", "b + 58"], ["b", 8, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"b": 8}, "is_reverse": true}}
| 1,645
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 16; f = d + 15; u = y + 4; x = f + 12; b = 8; l = w + 7; w = x + 5; o = u + 7; n = o + 12; d = k + 7; k = b + 12; c = r + 14; r = n + 15. Given that b = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 5 to l, which gives l = x + 12.\n2. Substitute x = f + 12 to l, which gives l = f + 24.\n3. Substitute f = d + 15 to l, which gives l = d + 39.\n4. Substitute d = k + 7 to l, which gives l = k + 46.\n5. Substitute k = b + 12 to l, which gives l = b + 58.\n6. Substitute b = 8 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 1645,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 16; f = d + 15; u = y + 4; x = f + 12; b = 8; l = w + 7; w = x + 5; o = u + 7; n = o + 12; d = k + 7; k = b + 12; c = r + 14; r = n + 15. Given that b = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 19", "g": "r + 2", "q": "g + 9", "u": "q + 8", "n": "u + 10", "p": "n + 15", "t": "b + 7", "h": "t + 19", "l": "h + 16", "x": "l + 2", "m": "x + 9", "w": "m + 6", "b": 6}, "premises": {"b": 6}, "target": "p"}, "answer": {"steps": [["n", "u + 10", "u + 25"], ["u", "q + 8", "q + 33"], ["q", "g + 9", "g + 42"], ["g", "r + 2", "r + 44"], ["r", "b + 19", "b + 63"], ["b", 6, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"b": 6}, "is_reverse": true}}
| 1,646
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 2; p = n + 15; h = t + 19; q = g + 9; u = q + 8; m = x + 9; b = 6; w = m + 6; n = u + 10; l = h + 16; r = b + 19; x = l + 2; t = b + 7. If b = 6, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 10 to p, which gives p = u + 25.\n2. Substitute u = q + 8 to p, which gives p = q + 33.\n3. Substitute q = g + 9 to p, which gives p = g + 42.\n4. Substitute g = r + 2 to p, which gives p = r + 44.\n5. Substitute r = b + 19 to p, which gives p = b + 63.\n6. Substitute b = 6 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 1646,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 2; p = n + 15; h = t + 19; q = g + 9; u = q + 8; m = x + 9; b = 6; w = m + 6; n = u + 10; l = h + 16; r = b + 19; x = l + 2; t = b + 7. If b = 6, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 16", "g": "j + 7", "z": "g + 20", "t": "z + 17", "v": "t + 6", "y": "v + 16", "b": "w + 2", "p": "b + 6", "o": "p + 6", "u": "o + 6", "n": "u + 11", "k": "n + 20", "w": 8}, "premises": {"w": 8}, "target": "y"}, "answer": {"steps": [["v", "t + 6", "t + 22"], ["t", "z + 17", "z + 39"], ["z", "g + 20", "g + 59"], ["g", "j + 7", "j + 66"], ["j", "w + 16", "w + 82"], ["w", 8, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"w": 8}, "is_reverse": true}}
| 1,647
| 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 = 8; k = n + 20; g = j + 7; j = w + 16; t = z + 17; p = b + 6; u = o + 6; o = p + 6; b = w + 2; n = u + 11; z = g + 20; v = t + 6; y = v + 16. If w = 8, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 6 to y, which gives y = t + 22.\n2. Substitute t = z + 17 to y, which gives y = z + 39.\n3. Substitute z = g + 20 to y, which gives y = g + 59.\n4. Substitute g = j + 7 to y, which gives y = j + 66.\n5. Substitute j = w + 16 to y, which gives y = w + 82.\n6. Substitute w = 8 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 1647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 8; k = n + 20; g = j + 7; j = w + 16; t = z + 17; p = b + 6; u = o + 6; o = p + 6; b = w + 2; n = u + 11; z = g + 20; v = t + 6; y = v + 16. If w = 8, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"y": "c + 5", "l": "y + 12", "b": "l + 9", "n": "b + 10", "z": "n + 12", "q": "z + 5", "v": "c + 1", "h": "v + 1", "i": "h + 7", "g": "i + 13", "e": "g + 3", "t": "e + 12", "c": 1}, "premises": {"c": 1}, "target": "q"}, "answer": {"steps": [["z", "n + 12", "n + 17"], ["n", "b + 10", "b + 27"], ["b", "l + 9", "l + 36"], ["l", "y + 12", "y + 48"], ["y", "c + 5", "c + 53"], ["c", 1, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"c": 1}, "is_reverse": true}}
| 1,648
| 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 = c + 5; g = i + 13; t = e + 12; c = 1; b = l + 9; v = c + 1; h = v + 1; n = b + 10; z = n + 12; l = y + 12; e = g + 3; i = h + 7; q = z + 5. If c = 1, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 12 to q, which gives q = n + 17.\n2. Substitute n = b + 10 to q, which gives q = b + 27.\n3. Substitute b = l + 9 to q, which gives q = l + 36.\n4. Substitute l = y + 12 to q, which gives q = y + 48.\n5. Substitute y = c + 5 to q, which gives q = c + 53.\n6. Substitute c = 1 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 1648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 5; g = i + 13; t = e + 12; c = 1; b = l + 9; v = c + 1; h = v + 1; n = b + 10; z = n + 12; l = y + 12; e = g + 3; i = h + 7; q = z + 5. If c = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 9", "w": "c + 1", "v": "w + 4", "t": "v + 6", "g": "t + 3", "b": "g + 1", "z": "n + 5", "m": "z + 14", "o": "m + 3", "q": "o + 13", "d": "q + 4", "f": "d + 13", "n": 5}, "premises": {"n": 5}, "target": "b"}, "answer": {"steps": [["g", "t + 3", "t + 4"], ["t", "v + 6", "v + 10"], ["v", "w + 4", "w + 14"], ["w", "c + 1", "c + 15"], ["c", "n + 9", "n + 24"], ["n", 5, "29"]], "target_var_name": "b", "target_value": 29, "value_dict": {"n": 5}, "is_reverse": true}}
| 1,649
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 6; d = q + 4; o = m + 3; w = c + 1; q = o + 13; f = d + 13; b = g + 1; n = 5; v = w + 4; z = n + 5; g = t + 3; c = n + 9; m = z + 14. Given that n = 5, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 29,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 3 to b, which gives b = t + 4.\n2. Substitute t = v + 6 to b, which gives b = v + 10.\n3. Substitute v = w + 4 to b, which gives b = w + 14.\n4. Substitute w = c + 1 to b, which gives b = c + 15.\n5. Substitute c = n + 9 to b, which gives b = n + 24.\n6. Substitute n = 5 to b, which gives b = 29.\n\nThus, the final answer is b = \\boxed{29}.",
"index": 1649,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 6; d = q + 4; o = m + 3; w = c + 1; q = o + 13; f = d + 13; b = g + 1; n = 5; v = w + 4; z = n + 5; g = t + 3; c = n + 9; m = z + 14. Given that n = 5, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 18", "j": "z + 16", "q": "j + 15", "a": "q + 2", "m": "a + 1", "l": "m + 13", "k": "u + 5", "g": "k + 8", "h": "g + 16", "p": "h + 7", "t": "p + 6", "x": "t + 11", "u": 15}, "premises": {"u": 15}, "target": "l"}, "answer": {"steps": [["m", "a + 1", "a + 14"], ["a", "q + 2", "q + 16"], ["q", "j + 15", "j + 31"], ["j", "z + 16", "z + 47"], ["z", "u + 18", "u + 65"], ["u", 15, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"u": 15}, "is_reverse": true}}
| 1,650
| 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 = j + 15; l = m + 13; m = a + 1; g = k + 8; u = 15; z = u + 18; j = z + 16; k = u + 5; x = t + 11; a = q + 2; p = h + 7; h = g + 16; t = p + 6. If u = 15, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 1 to l, which gives l = a + 14.\n2. Substitute a = q + 2 to l, which gives l = q + 16.\n3. Substitute q = j + 15 to l, which gives l = j + 31.\n4. Substitute j = z + 16 to l, which gives l = z + 47.\n5. Substitute z = u + 18 to l, which gives l = u + 65.\n6. Substitute u = 15 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 1650,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 15; l = m + 13; m = a + 1; g = k + 8; u = 15; z = u + 18; j = z + 16; k = u + 5; x = t + 11; a = q + 2; p = h + 7; h = g + 16; t = p + 6. If u = 15, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 6", "r": "m + 11", "k": "r + 18", "n": "k + 1", "p": "n + 9", "b": "p + 4", "v": "h + 16", "i": "v + 4", "j": "i + 9", "z": "j + 7", "q": "z + 8", "e": "q + 17", "h": 4}, "premises": {"h": 4}, "target": "b"}, "answer": {"steps": [["p", "n + 9", "n + 13"], ["n", "k + 1", "k + 14"], ["k", "r + 18", "r + 32"], ["r", "m + 11", "m + 43"], ["m", "h + 6", "h + 49"], ["h", 4, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"h": 4}, "is_reverse": true}}
| 1,651
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = 4; n = k + 1; b = p + 4; k = r + 18; r = m + 11; z = j + 7; j = i + 9; p = n + 9; e = q + 17; i = v + 4; v = h + 16; q = z + 8; m = h + 6. Given that h = 4, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 9 to b, which gives b = n + 13.\n2. Substitute n = k + 1 to b, which gives b = k + 14.\n3. Substitute k = r + 18 to b, which gives b = r + 32.\n4. Substitute r = m + 11 to b, which gives b = m + 43.\n5. Substitute m = h + 6 to b, which gives b = h + 49.\n6. Substitute h = 4 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 1651,
"question": "Suppose a collection of variables is related by the following definitions: h = 4; n = k + 1; b = p + 4; k = r + 18; r = m + 11; z = j + 7; j = i + 9; p = n + 9; e = q + 17; i = v + 4; v = h + 16; q = z + 8; m = h + 6. Given that h = 4, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 4", "y": "a + 15", "b": "y + 6", "x": "b + 10", "o": "x + 11", "k": "o + 1", "g": "c + 20", "w": "g + 1", "f": "w + 1", "u": "f + 14", "i": "u + 8", "t": "i + 13", "c": 9}, "premises": {"c": 9}, "target": "k"}, "answer": {"steps": [["o", "x + 11", "x + 12"], ["x", "b + 10", "b + 22"], ["b", "y + 6", "y + 28"], ["y", "a + 15", "a + 43"], ["a", "c + 4", "c + 47"], ["c", 9, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"c": 9}, "is_reverse": true}}
| 1,652
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 6; g = c + 20; c = 9; f = w + 1; i = u + 8; x = b + 10; k = o + 1; u = f + 14; t = i + 13; a = c + 4; y = a + 15; o = x + 11; w = g + 1. If c = 9, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 11 to k, which gives k = x + 12.\n2. Substitute x = b + 10 to k, which gives k = b + 22.\n3. Substitute b = y + 6 to k, which gives k = y + 28.\n4. Substitute y = a + 15 to k, which gives k = a + 43.\n5. Substitute a = c + 4 to k, which gives k = c + 47.\n6. Substitute c = 9 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 1652,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 6; g = c + 20; c = 9; f = w + 1; i = u + 8; x = b + 10; k = o + 1; u = f + 14; t = i + 13; a = c + 4; y = a + 15; o = x + 11; w = g + 1. If c = 9, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 18", "p": "e + 1", "h": "p + 16", "f": "h + 11", "r": "f + 16", "u": "r + 15", "o": "d + 16", "n": "o + 19", "t": "n + 17", "i": "t + 11", "q": "i + 18", "z": "q + 11", "d": 8}, "premises": {"d": 8}, "target": "u"}, "answer": {"steps": [["r", "f + 16", "f + 31"], ["f", "h + 11", "h + 42"], ["h", "p + 16", "p + 58"], ["p", "e + 1", "e + 59"], ["e", "d + 18", "d + 77"], ["d", 8, "85"]], "target_var_name": "u", "target_value": 85, "value_dict": {"d": 8}, "is_reverse": true}}
| 1,653
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 18; z = q + 11; o = d + 16; p = e + 1; d = 8; h = p + 16; u = r + 15; f = h + 11; r = f + 16; t = n + 17; n = o + 19; q = i + 18; i = t + 11. Given that d = 8, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 16 to u, which gives u = f + 31.\n2. Substitute f = h + 11 to u, which gives u = h + 42.\n3. Substitute h = p + 16 to u, which gives u = p + 58.\n4. Substitute p = e + 1 to u, which gives u = e + 59.\n5. Substitute e = d + 18 to u, which gives u = d + 77.\n6. Substitute d = 8 to u, which gives u = 85.\n\nThus, the final answer is u = \\boxed{85}.",
"index": 1653,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 18; z = q + 11; o = d + 16; p = e + 1; d = 8; h = p + 16; u = r + 15; f = h + 11; r = f + 16; t = n + 17; n = o + 19; q = i + 18; i = t + 11. Given that d = 8, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 11", "t": "i + 18", "k": "t + 1", "m": "k + 9", "x": "m + 11", "e": "x + 13", "r": "p + 11", "a": "r + 17", "j": "a + 9", "l": "j + 20", "z": "l + 17", "s": "z + 17", "p": 9}, "premises": {"p": 9}, "target": "e"}, "answer": {"steps": [["x", "m + 11", "m + 24"], ["m", "k + 9", "k + 33"], ["k", "t + 1", "t + 34"], ["t", "i + 18", "i + 52"], ["i", "p + 11", "p + 63"], ["p", 9, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"p": 9}, "is_reverse": true}}
| 1,654
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 9; p = 9; r = p + 11; i = p + 11; s = z + 17; a = r + 17; k = t + 1; m = k + 9; l = j + 20; t = i + 18; e = x + 13; x = m + 11; z = l + 17. If p = 9, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 11 to e, which gives e = m + 24.\n2. Substitute m = k + 9 to e, which gives e = k + 33.\n3. Substitute k = t + 1 to e, which gives e = t + 34.\n4. Substitute t = i + 18 to e, which gives e = i + 52.\n5. Substitute i = p + 11 to e, which gives e = p + 63.\n6. Substitute p = 9 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 1654,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 9; p = 9; r = p + 11; i = p + 11; s = z + 17; a = r + 17; k = t + 1; m = k + 9; l = j + 20; t = i + 18; e = x + 13; x = m + 11; z = l + 17. If p = 9, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 9", "a": "l + 7", "m": "a + 7", "o": "m + 12", "n": "o + 9", "s": "n + 6", "p": "e + 20", "q": "p + 12", "j": "q + 8", "f": "j + 6", "v": "f + 11", "d": "v + 13", "e": 10}, "premises": {"e": 10}, "target": "s"}, "answer": {"steps": [["n", "o + 9", "o + 15"], ["o", "m + 12", "m + 27"], ["m", "a + 7", "a + 34"], ["a", "l + 7", "l + 41"], ["l", "e + 9", "e + 50"], ["e", 10, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"e": 10}, "is_reverse": true}}
| 1,655
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 11; a = l + 7; d = v + 13; e = 10; o = m + 12; p = e + 20; l = e + 9; j = q + 8; q = p + 12; n = o + 9; f = j + 6; m = a + 7; s = n + 6. Given that e = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 9 to s, which gives s = o + 15.\n2. Substitute o = m + 12 to s, which gives s = m + 27.\n3. Substitute m = a + 7 to s, which gives s = a + 34.\n4. Substitute a = l + 7 to s, which gives s = l + 41.\n5. Substitute l = e + 9 to s, which gives s = e + 50.\n6. Substitute e = 10 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 1655,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 11; a = l + 7; d = v + 13; e = 10; o = m + 12; p = e + 20; l = e + 9; j = q + 8; q = p + 12; n = o + 9; f = j + 6; m = a + 7; s = n + 6. Given that e = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 8", "m": "b + 20", "a": "m + 10", "i": "a + 12", "x": "i + 6", "p": "x + 3", "k": "l + 15", "z": "k + 8", "c": "z + 7", "j": "c + 1", "g": "j + 12", "h": "g + 10", "l": 20}, "premises": {"l": 20}, "target": "p"}, "answer": {"steps": [["x", "i + 6", "i + 9"], ["i", "a + 12", "a + 21"], ["a", "m + 10", "m + 31"], ["m", "b + 20", "b + 51"], ["b", "l + 8", "l + 59"], ["l", 20, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"l": 20}, "is_reverse": true}}
| 1,656
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 10; c = z + 7; i = a + 12; p = x + 3; z = k + 8; a = m + 10; l = 20; b = l + 8; m = b + 20; k = l + 15; j = c + 1; x = i + 6; g = j + 12. If l = 20, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 6 to p, which gives p = i + 9.\n2. Substitute i = a + 12 to p, which gives p = a + 21.\n3. Substitute a = m + 10 to p, which gives p = m + 31.\n4. Substitute m = b + 20 to p, which gives p = b + 51.\n5. Substitute b = l + 8 to p, which gives p = l + 59.\n6. Substitute l = 20 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 1656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 10; c = z + 7; i = a + 12; p = x + 3; z = k + 8; a = m + 10; l = 20; b = l + 8; m = b + 20; k = l + 15; j = c + 1; x = i + 6; g = j + 12. If l = 20, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"q": "n + 8", "a": "q + 15", "h": "a + 17", "o": "h + 5", "g": "o + 4", "u": "g + 10", "s": "n + 6", "e": "s + 10", "v": "e + 8", "k": "v + 19", "i": "k + 12", "f": "i + 19", "n": 20}, "premises": {"n": 20}, "target": "u"}, "answer": {"steps": [["g", "o + 4", "o + 14"], ["o", "h + 5", "h + 19"], ["h", "a + 17", "a + 36"], ["a", "q + 15", "q + 51"], ["q", "n + 8", "n + 59"], ["n", 20, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"n": 20}, "is_reverse": true}}
| 1,657
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 4; f = i + 19; s = n + 6; n = 20; h = a + 17; i = k + 12; o = h + 5; v = e + 8; a = q + 15; e = s + 10; u = g + 10; q = n + 8; k = v + 19. If n = 20, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 4 to u, which gives u = o + 14.\n2. Substitute o = h + 5 to u, which gives u = h + 19.\n3. Substitute h = a + 17 to u, which gives u = a + 36.\n4. Substitute a = q + 15 to u, which gives u = q + 51.\n5. Substitute q = n + 8 to u, which gives u = n + 59.\n6. Substitute n = 20 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 1657,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 4; f = i + 19; s = n + 6; n = 20; h = a + 17; i = k + 12; o = h + 5; v = e + 8; a = q + 15; e = s + 10; u = g + 10; q = n + 8; k = v + 19. If n = 20, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 17", "c": "d + 13", "o": "c + 13", "g": "o + 3", "b": "g + 4", "t": "b + 12", "q": "v + 14", "n": "q + 11", "e": "n + 19", "u": "e + 2", "w": "u + 20", "l": "w + 1", "v": 2}, "premises": {"v": 2}, "target": "t"}, "answer": {"steps": [["b", "g + 4", "g + 16"], ["g", "o + 3", "o + 19"], ["o", "c + 13", "c + 32"], ["c", "d + 13", "d + 45"], ["d", "v + 17", "v + 62"], ["v", 2, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"v": 2}, "is_reverse": true}}
| 1,658
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 3; u = e + 2; t = b + 12; q = v + 14; l = w + 1; n = q + 11; d = v + 17; c = d + 13; w = u + 20; v = 2; b = g + 4; e = n + 19; o = c + 13. Given that v = 2, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 4 to t, which gives t = g + 16.\n2. Substitute g = o + 3 to t, which gives t = o + 19.\n3. Substitute o = c + 13 to t, which gives t = c + 32.\n4. Substitute c = d + 13 to t, which gives t = d + 45.\n5. Substitute d = v + 17 to t, which gives t = v + 62.\n6. Substitute v = 2 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 1658,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 3; u = e + 2; t = b + 12; q = v + 14; l = w + 1; n = q + 11; d = v + 17; c = d + 13; w = u + 20; v = 2; b = g + 4; e = n + 19; o = c + 13. Given that v = 2, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 11", "v": "p + 11", "j": "v + 14", "i": "j + 17", "l": "i + 14", "c": "l + 10", "k": "d + 7", "a": "k + 9", "t": "a + 4", "m": "t + 6", "s": "m + 4", "x": "s + 4", "d": 4}, "premises": {"d": 4}, "target": "c"}, "answer": {"steps": [["l", "i + 14", "i + 24"], ["i", "j + 17", "j + 41"], ["j", "v + 14", "v + 55"], ["v", "p + 11", "p + 66"], ["p", "d + 11", "d + 77"], ["d", 4, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"d": 4}, "is_reverse": true}}
| 1,659
| 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 = k + 9; d = 4; c = l + 10; m = t + 6; p = d + 11; t = a + 4; j = v + 14; i = j + 17; x = s + 4; s = m + 4; l = i + 14; v = p + 11; k = d + 7. If d = 4, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 14 to c, which gives c = i + 24.\n2. Substitute i = j + 17 to c, which gives c = j + 41.\n3. Substitute j = v + 14 to c, which gives c = v + 55.\n4. Substitute v = p + 11 to c, which gives c = p + 66.\n5. Substitute p = d + 11 to c, which gives c = d + 77.\n6. Substitute d = 4 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 1659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 9; d = 4; c = l + 10; m = t + 6; p = d + 11; t = a + 4; j = v + 14; i = j + 17; x = s + 4; s = m + 4; l = i + 14; v = p + 11; k = d + 7. If d = 4, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 19", "f": "s + 19", "x": "f + 12", "w": "x + 10", "z": "w + 18", "q": "z + 16", "l": "o + 10", "t": "l + 17", "m": "t + 10", "d": "m + 17", "v": "d + 1", "e": "v + 1", "o": 15}, "premises": {"o": 15}, "target": "q"}, "answer": {"steps": [["z", "w + 18", "w + 34"], ["w", "x + 10", "x + 44"], ["x", "f + 12", "f + 56"], ["f", "s + 19", "s + 75"], ["s", "o + 19", "o + 94"], ["o", 15, "109"]], "target_var_name": "q", "target_value": 109, "value_dict": {"o": 15}, "is_reverse": true}}
| 1,660
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 18; d = m + 17; m = t + 10; e = v + 1; v = d + 1; f = s + 19; s = o + 19; l = o + 10; q = z + 16; t = l + 17; x = f + 12; o = 15; w = x + 10. If o = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 18 to q, which gives q = w + 34.\n2. Substitute w = x + 10 to q, which gives q = x + 44.\n3. Substitute x = f + 12 to q, which gives q = f + 56.\n4. Substitute f = s + 19 to q, which gives q = s + 75.\n5. Substitute s = o + 19 to q, which gives q = o + 94.\n6. Substitute o = 15 to q, which gives q = 109.\n\nThus, the final answer is q = \\boxed{109}.",
"index": 1660,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 18; d = m + 17; m = t + 10; e = v + 1; v = d + 1; f = s + 19; s = o + 19; l = o + 10; q = z + 16; t = l + 17; x = f + 12; o = 15; w = x + 10. If o = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "i + 3", "c": "h + 8", "y": "c + 15", "w": "y + 17", "x": "w + 20", "k": "x + 11", "n": "i + 3", "e": "n + 20", "p": "e + 17", "d": "p + 5", "l": "d + 17", "f": "l + 11", "i": 13}, "premises": {"i": 13}, "target": "k"}, "answer": {"steps": [["x", "w + 20", "w + 31"], ["w", "y + 17", "y + 48"], ["y", "c + 15", "c + 63"], ["c", "h + 8", "h + 71"], ["h", "i + 3", "i + 74"], ["i", 13, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"i": 13}, "is_reverse": true}}
| 1,661
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 17; d = p + 5; i = 13; x = w + 20; y = c + 15; h = i + 3; w = y + 17; c = h + 8; f = l + 11; k = x + 11; l = d + 17; e = n + 20; n = i + 3. Given that i = 13, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 20 to k, which gives k = w + 31.\n2. Substitute w = y + 17 to k, which gives k = y + 48.\n3. Substitute y = c + 15 to k, which gives k = c + 63.\n4. Substitute c = h + 8 to k, which gives k = h + 71.\n5. Substitute h = i + 3 to k, which gives k = i + 74.\n6. Substitute i = 13 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 1661,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 17; d = p + 5; i = 13; x = w + 20; y = c + 15; h = i + 3; w = y + 17; c = h + 8; f = l + 11; k = x + 11; l = d + 17; e = n + 20; n = i + 3. Given that i = 13, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 2", "h": "z + 16", "u": "h + 9", "b": "u + 17", "v": "b + 1", "c": "v + 8", "w": "i + 20", "q": "w + 1", "n": "q + 1", "j": "n + 8", "k": "j + 5", "x": "k + 14", "i": 4}, "premises": {"i": 4}, "target": "c"}, "answer": {"steps": [["v", "b + 1", "b + 9"], ["b", "u + 17", "u + 26"], ["u", "h + 9", "h + 35"], ["h", "z + 16", "z + 51"], ["z", "i + 2", "i + 53"], ["i", 4, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"i": 4}, "is_reverse": true}}
| 1,662
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 8; b = u + 17; n = q + 1; z = i + 2; c = v + 8; w = i + 20; v = b + 1; h = z + 16; u = h + 9; i = 4; x = k + 14; k = j + 5; q = w + 1. If i = 4, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 1 to c, which gives c = b + 9.\n2. Substitute b = u + 17 to c, which gives c = u + 26.\n3. Substitute u = h + 9 to c, which gives c = h + 35.\n4. Substitute h = z + 16 to c, which gives c = z + 51.\n5. Substitute z = i + 2 to c, which gives c = i + 53.\n6. Substitute i = 4 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 1662,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 8; b = u + 17; n = q + 1; z = i + 2; c = v + 8; w = i + 20; v = b + 1; h = z + 16; u = h + 9; i = 4; x = k + 14; k = j + 5; q = w + 1. If i = 4, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 19", "p": "r + 16", "u": "p + 9", "b": "u + 13", "s": "b + 12", "f": "s + 14", "c": "t + 17", "d": "c + 3", "l": "d + 14", "v": "l + 19", "q": "v + 13", "i": "q + 8", "t": 8}, "premises": {"t": 8}, "target": "f"}, "answer": {"steps": [["s", "b + 12", "b + 26"], ["b", "u + 13", "u + 39"], ["u", "p + 9", "p + 48"], ["p", "r + 16", "r + 64"], ["r", "t + 19", "t + 83"], ["t", 8, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,663
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 3; b = u + 13; v = l + 19; i = q + 8; t = 8; c = t + 17; q = v + 13; r = t + 19; f = s + 14; p = r + 16; u = p + 9; l = d + 14; s = b + 12. Given that t = 8, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 12 to f, which gives f = b + 26.\n2. Substitute b = u + 13 to f, which gives f = u + 39.\n3. Substitute u = p + 9 to f, which gives f = p + 48.\n4. Substitute p = r + 16 to f, which gives f = r + 64.\n5. Substitute r = t + 19 to f, which gives f = t + 83.\n6. Substitute t = 8 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 1663,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 3; b = u + 13; v = l + 19; i = q + 8; t = 8; c = t + 17; q = v + 13; r = t + 19; f = s + 14; p = r + 16; u = p + 9; l = d + 14; s = b + 12. Given that t = 8, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 4", "j": "c + 16", "d": "j + 18", "b": "d + 20", "q": "b + 10", "s": "q + 11", "n": "u + 9", "x": "n + 19", "a": "x + 16", "v": "a + 9", "r": "v + 13", "e": "r + 1", "u": 10}, "premises": {"u": 10}, "target": "s"}, "answer": {"steps": [["q", "b + 10", "b + 21"], ["b", "d + 20", "d + 41"], ["d", "j + 18", "j + 59"], ["j", "c + 16", "c + 75"], ["c", "u + 4", "u + 79"], ["u", 10, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"u": 10}, "is_reverse": true}}
| 1,664
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 9; e = r + 1; x = n + 19; c = u + 4; b = d + 20; u = 10; j = c + 16; s = q + 11; v = a + 9; q = b + 10; d = j + 18; r = v + 13; a = x + 16. Given that u = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 10 to s, which gives s = b + 21.\n2. Substitute b = d + 20 to s, which gives s = d + 41.\n3. Substitute d = j + 18 to s, which gives s = j + 59.\n4. Substitute j = c + 16 to s, which gives s = c + 75.\n5. Substitute c = u + 4 to s, which gives s = u + 79.\n6. Substitute u = 10 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 1664,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 9; e = r + 1; x = n + 19; c = u + 4; b = d + 20; u = 10; j = c + 16; s = q + 11; v = a + 9; q = b + 10; d = j + 18; r = v + 13; a = x + 16. Given that u = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 9", "m": "r + 6", "e": "m + 5", "a": "e + 10", "d": "a + 18", "j": "d + 13", "o": "t + 19", "x": "o + 6", "i": "x + 13", "g": "i + 18", "b": "g + 10", "k": "b + 12", "t": 1}, "premises": {"t": 1}, "target": "j"}, "answer": {"steps": [["d", "a + 18", "a + 31"], ["a", "e + 10", "e + 41"], ["e", "m + 5", "m + 46"], ["m", "r + 6", "r + 52"], ["r", "t + 9", "t + 61"], ["t", 1, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"t": 1}, "is_reverse": true}}
| 1,665
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 13; g = i + 18; x = o + 6; j = d + 13; m = r + 6; r = t + 9; k = b + 12; t = 1; o = t + 19; d = a + 18; a = e + 10; b = g + 10; e = m + 5. If t = 1, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 18 to j, which gives j = a + 31.\n2. Substitute a = e + 10 to j, which gives j = e + 41.\n3. Substitute e = m + 5 to j, which gives j = m + 46.\n4. Substitute m = r + 6 to j, which gives j = r + 52.\n5. Substitute r = t + 9 to j, which gives j = t + 61.\n6. Substitute t = 1 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 1665,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 13; g = i + 18; x = o + 6; j = d + 13; m = r + 6; r = t + 9; k = b + 12; t = 1; o = t + 19; d = a + 18; a = e + 10; b = g + 10; e = m + 5. If t = 1, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 9", "q": "p + 3", "y": "q + 3", "a": "y + 15", "x": "a + 6", "t": "x + 8", "n": "r + 2", "f": "n + 18", "c": "f + 4", "l": "c + 5", "m": "l + 8", "h": "m + 12", "r": 15}, "premises": {"r": 15}, "target": "t"}, "answer": {"steps": [["x", "a + 6", "a + 14"], ["a", "y + 15", "y + 29"], ["y", "q + 3", "q + 32"], ["q", "p + 3", "p + 35"], ["p", "r + 9", "r + 44"], ["r", 15, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"r": 15}, "is_reverse": true}}
| 1,666
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 3; m = l + 8; a = y + 15; p = r + 9; f = n + 18; h = m + 12; c = f + 4; r = 15; y = q + 3; t = x + 8; x = a + 6; l = c + 5; n = r + 2. Given that r = 15, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 6 to t, which gives t = a + 14.\n2. Substitute a = y + 15 to t, which gives t = y + 29.\n3. Substitute y = q + 3 to t, which gives t = q + 32.\n4. Substitute q = p + 3 to t, which gives t = p + 35.\n5. Substitute p = r + 9 to t, which gives t = r + 44.\n6. Substitute r = 15 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 1666,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 3; m = l + 8; a = y + 15; p = r + 9; f = n + 18; h = m + 12; c = f + 4; r = 15; y = q + 3; t = x + 8; x = a + 6; l = c + 5; n = r + 2. Given that r = 15, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 13", "b": "f + 3", "x": "b + 3", "z": "x + 15", "a": "z + 3", "u": "a + 14", "o": "m + 19", "v": "o + 8", "r": "v + 6", "k": "r + 17", "w": "k + 13", "h": "w + 1", "m": 5}, "premises": {"m": 5}, "target": "u"}, "answer": {"steps": [["a", "z + 3", "z + 17"], ["z", "x + 15", "x + 32"], ["x", "b + 3", "b + 35"], ["b", "f + 3", "f + 38"], ["f", "m + 13", "m + 51"], ["m", 5, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"m": 5}, "is_reverse": true}}
| 1,667
| 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 + 6; k = r + 17; w = k + 13; h = w + 1; o = m + 19; f = m + 13; z = x + 15; b = f + 3; a = z + 3; u = a + 14; v = o + 8; x = b + 3; m = 5. If m = 5, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 3 to u, which gives u = z + 17.\n2. Substitute z = x + 15 to u, which gives u = x + 32.\n3. Substitute x = b + 3 to u, which gives u = b + 35.\n4. Substitute b = f + 3 to u, which gives u = f + 38.\n5. Substitute f = m + 13 to u, which gives u = m + 51.\n6. Substitute m = 5 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 1667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 6; k = r + 17; w = k + 13; h = w + 1; o = m + 19; f = m + 13; z = x + 15; b = f + 3; a = z + 3; u = a + 14; v = o + 8; x = b + 3; m = 5. If m = 5, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 18", "o": "j + 6", "x": "o + 11", "m": "x + 10", "t": "m + 11", "i": "t + 19", "u": "r + 2", "l": "u + 3", "c": "l + 7", "q": "c + 18", "w": "q + 5", "n": "w + 17", "r": 16}, "premises": {"r": 16}, "target": "i"}, "answer": {"steps": [["t", "m + 11", "m + 30"], ["m", "x + 10", "x + 40"], ["x", "o + 11", "o + 51"], ["o", "j + 6", "j + 57"], ["j", "r + 18", "r + 75"], ["r", 16, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"r": 16}, "is_reverse": true}}
| 1,668
| 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 = r + 2; r = 16; q = c + 18; i = t + 19; w = q + 5; x = o + 11; t = m + 11; c = l + 7; l = u + 3; n = w + 17; o = j + 6; j = r + 18; m = x + 10. If r = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 11 to i, which gives i = m + 30.\n2. Substitute m = x + 10 to i, which gives i = x + 40.\n3. Substitute x = o + 11 to i, which gives i = o + 51.\n4. Substitute o = j + 6 to i, which gives i = j + 57.\n5. Substitute j = r + 18 to i, which gives i = r + 75.\n6. Substitute r = 16 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 1668,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 2; r = 16; q = c + 18; i = t + 19; w = q + 5; x = o + 11; t = m + 11; c = l + 7; l = u + 3; n = w + 17; o = j + 6; j = r + 18; m = x + 10. If r = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 1", "y": "v + 15", "h": "y + 11", "n": "h + 1", "p": "n + 9", "w": "p + 7", "e": "f + 3", "i": "e + 19", "k": "i + 13", "x": "k + 4", "s": "x + 10", "l": "s + 17", "f": 14}, "premises": {"f": 14}, "target": "w"}, "answer": {"steps": [["p", "n + 9", "n + 16"], ["n", "h + 1", "h + 17"], ["h", "y + 11", "y + 28"], ["y", "v + 15", "v + 43"], ["v", "f + 1", "f + 44"], ["f", 14, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"f": 14}, "is_reverse": true}}
| 1,669
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 11; y = v + 15; w = p + 7; s = x + 10; f = 14; k = i + 13; l = s + 17; v = f + 1; e = f + 3; n = h + 1; i = e + 19; p = n + 9; x = k + 4. If f = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 9 to w, which gives w = n + 16.\n2. Substitute n = h + 1 to w, which gives w = h + 17.\n3. Substitute h = y + 11 to w, which gives w = y + 28.\n4. Substitute y = v + 15 to w, which gives w = v + 43.\n5. Substitute v = f + 1 to w, which gives w = f + 44.\n6. Substitute f = 14 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 1669,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 11; y = v + 15; w = p + 7; s = x + 10; f = 14; k = i + 13; l = s + 17; v = f + 1; e = f + 3; n = h + 1; i = e + 19; p = n + 9; x = k + 4. If f = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 3", "d": "w + 17", "q": "d + 19", "l": "q + 6", "x": "l + 5", "c": "x + 10", "r": "h + 13", "t": "r + 7", "o": "t + 6", "s": "o + 18", "z": "s + 3", "n": "z + 6", "h": 12}, "premises": {"h": 12}, "target": "c"}, "answer": {"steps": [["x", "l + 5", "l + 15"], ["l", "q + 6", "q + 21"], ["q", "d + 19", "d + 40"], ["d", "w + 17", "w + 57"], ["w", "h + 3", "h + 60"], ["h", 12, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"h": 12}, "is_reverse": true}}
| 1,670
| 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 = z + 6; h = 12; o = t + 6; r = h + 13; w = h + 3; l = q + 6; t = r + 7; z = s + 3; s = o + 18; c = x + 10; d = w + 17; q = d + 19; x = l + 5. If h = 12, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 5 to c, which gives c = l + 15.\n2. Substitute l = q + 6 to c, which gives c = q + 21.\n3. Substitute q = d + 19 to c, which gives c = d + 40.\n4. Substitute d = w + 17 to c, which gives c = w + 57.\n5. Substitute w = h + 3 to c, which gives c = h + 60.\n6. Substitute h = 12 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 1670,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 6; h = 12; o = t + 6; r = h + 13; w = h + 3; l = q + 6; t = r + 7; z = s + 3; s = o + 18; c = x + 10; d = w + 17; q = d + 19; x = l + 5. If h = 12, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 5", "o": "j + 1", "m": "o + 14", "r": "m + 5", "z": "r + 1", "s": "z + 14", "n": "p + 18", "w": "n + 19", "e": "w + 15", "c": "e + 6", "f": "c + 7", "k": "f + 9", "p": 8}, "premises": {"p": 8}, "target": "s"}, "answer": {"steps": [["z", "r + 1", "r + 15"], ["r", "m + 5", "m + 20"], ["m", "o + 14", "o + 34"], ["o", "j + 1", "j + 35"], ["j", "p + 5", "p + 40"], ["p", 8, "48"]], "target_var_name": "s", "target_value": 48, "value_dict": {"p": 8}, "is_reverse": true}}
| 1,671
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 14; c = e + 6; p = 8; j = p + 5; w = n + 19; f = c + 7; n = p + 18; k = f + 9; z = r + 1; m = o + 14; o = j + 1; e = w + 15; r = m + 5. If p = 8, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 1 to s, which gives s = r + 15.\n2. Substitute r = m + 5 to s, which gives s = m + 20.\n3. Substitute m = o + 14 to s, which gives s = o + 34.\n4. Substitute o = j + 1 to s, which gives s = j + 35.\n5. Substitute j = p + 5 to s, which gives s = p + 40.\n6. Substitute p = 8 to s, which gives s = 48.\n\nThus, the final answer is s = \\boxed{48}.",
"index": 1671,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 14; c = e + 6; p = 8; j = p + 5; w = n + 19; f = c + 7; n = p + 18; k = f + 9; z = r + 1; m = o + 14; o = j + 1; e = w + 15; r = m + 5. If p = 8, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 7", "e": "t + 5", "v": "e + 19", "l": "v + 17", "s": "l + 17", "d": "s + 19", "m": "y + 1", "b": "m + 8", "r": "b + 17", "w": "r + 18", "i": "w + 14", "o": "i + 4", "y": 9}, "premises": {"y": 9}, "target": "d"}, "answer": {"steps": [["s", "l + 17", "l + 36"], ["l", "v + 17", "v + 53"], ["v", "e + 19", "e + 72"], ["e", "t + 5", "t + 77"], ["t", "y + 7", "y + 84"], ["y", 9, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"y": 9}, "is_reverse": true}}
| 1,672
| 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 = y + 1; s = l + 17; i = w + 14; e = t + 5; v = e + 19; y = 9; t = y + 7; l = v + 17; d = s + 19; w = r + 18; r = b + 17; b = m + 8; o = i + 4. If y = 9, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 17 to d, which gives d = l + 36.\n2. Substitute l = v + 17 to d, which gives d = v + 53.\n3. Substitute v = e + 19 to d, which gives d = e + 72.\n4. Substitute e = t + 5 to d, which gives d = t + 77.\n5. Substitute t = y + 7 to d, which gives d = y + 84.\n6. Substitute y = 9 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 1672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 1; s = l + 17; i = w + 14; e = t + 5; v = e + 19; y = 9; t = y + 7; l = v + 17; d = s + 19; w = r + 18; r = b + 17; b = m + 8; o = i + 4. If y = 9, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 1", "f": "q + 20", "z": "f + 10", "g": "z + 15", "w": "g + 14", "t": "w + 20", "h": "b + 3", "d": "h + 8", "v": "d + 15", "u": "v + 16", "x": "u + 19", "k": "x + 9", "b": 17}, "premises": {"b": 17}, "target": "t"}, "answer": {"steps": [["w", "g + 14", "g + 34"], ["g", "z + 15", "z + 49"], ["z", "f + 10", "f + 59"], ["f", "q + 20", "q + 79"], ["q", "b + 1", "b + 80"], ["b", 17, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"b": 17}, "is_reverse": true}}
| 1,673
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 20; g = z + 15; t = w + 20; q = b + 1; z = f + 10; v = d + 15; h = b + 3; b = 17; w = g + 14; k = x + 9; x = u + 19; d = h + 8; u = v + 16. If b = 17, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 14 to t, which gives t = g + 34.\n2. Substitute g = z + 15 to t, which gives t = z + 49.\n3. Substitute z = f + 10 to t, which gives t = f + 59.\n4. Substitute f = q + 20 to t, which gives t = q + 79.\n5. Substitute q = b + 1 to t, which gives t = b + 80.\n6. Substitute b = 17 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 1673,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 20; g = z + 15; t = w + 20; q = b + 1; z = f + 10; v = d + 15; h = b + 3; b = 17; w = g + 14; k = x + 9; x = u + 19; d = h + 8; u = v + 16. If b = 17, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 18", "w": "k + 10", "h": "w + 8", "s": "h + 9", "m": "s + 1", "a": "m + 16", "n": "o + 13", "b": "n + 1", "c": "b + 17", "v": "c + 4", "l": "v + 4", "g": "l + 14", "o": 15}, "premises": {"o": 15}, "target": "a"}, "answer": {"steps": [["m", "s + 1", "s + 17"], ["s", "h + 9", "h + 26"], ["h", "w + 8", "w + 34"], ["w", "k + 10", "k + 44"], ["k", "o + 18", "o + 62"], ["o", 15, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"o": 15}, "is_reverse": true}}
| 1,674
| 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 = c + 4; s = h + 9; k = o + 18; a = m + 16; c = b + 17; l = v + 4; m = s + 1; w = k + 10; o = 15; g = l + 14; n = o + 13; b = n + 1; h = w + 8. If o = 15, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 1 to a, which gives a = s + 17.\n2. Substitute s = h + 9 to a, which gives a = h + 26.\n3. Substitute h = w + 8 to a, which gives a = w + 34.\n4. Substitute w = k + 10 to a, which gives a = k + 44.\n5. Substitute k = o + 18 to a, which gives a = o + 62.\n6. Substitute o = 15 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 1674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 4; s = h + 9; k = o + 18; a = m + 16; c = b + 17; l = v + 4; m = s + 1; w = k + 10; o = 15; g = l + 14; n = o + 13; b = n + 1; h = w + 8. If o = 15, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 18", "w": "x + 1", "y": "w + 7", "o": "y + 9", "d": "o + 5", "l": "d + 6", "g": "k + 20", "p": "g + 18", "b": "p + 10", "t": "b + 2", "f": "t + 18", "e": "f + 15", "k": 12}, "premises": {"k": 12}, "target": "l"}, "answer": {"steps": [["d", "o + 5", "o + 11"], ["o", "y + 9", "y + 20"], ["y", "w + 7", "w + 27"], ["w", "x + 1", "x + 28"], ["x", "k + 18", "k + 46"], ["k", 12, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"k": 12}, "is_reverse": true}}
| 1,675
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = o + 5; o = y + 9; w = x + 1; l = d + 6; b = p + 10; g = k + 20; k = 12; f = t + 18; e = f + 15; t = b + 2; p = g + 18; y = w + 7; x = k + 18. Given that k = 12, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 5 to l, which gives l = o + 11.\n2. Substitute o = y + 9 to l, which gives l = y + 20.\n3. Substitute y = w + 7 to l, which gives l = w + 27.\n4. Substitute w = x + 1 to l, which gives l = x + 28.\n5. Substitute x = k + 18 to l, which gives l = k + 46.\n6. Substitute k = 12 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 1675,
"question": "Suppose a collection of variables is related by the following definitions: d = o + 5; o = y + 9; w = x + 1; l = d + 6; b = p + 10; g = k + 20; k = 12; f = t + 18; e = f + 15; t = b + 2; p = g + 18; y = w + 7; x = k + 18. Given that k = 12, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 1", "s": "k + 15", "l": "s + 19", "r": "l + 6", "x": "r + 6", "q": "x + 20", "n": "e + 1", "c": "n + 6", "i": "c + 7", "b": "i + 15", "p": "b + 15", "d": "p + 14", "e": 12}, "premises": {"e": 12}, "target": "q"}, "answer": {"steps": [["x", "r + 6", "r + 26"], ["r", "l + 6", "l + 32"], ["l", "s + 19", "s + 51"], ["s", "k + 15", "k + 66"], ["k", "e + 1", "e + 67"], ["e", 12, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"e": 12}, "is_reverse": true}}
| 1,676
| 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 = n + 6; b = i + 15; i = c + 7; p = b + 15; d = p + 14; r = l + 6; e = 12; q = x + 20; l = s + 19; s = k + 15; x = r + 6; n = e + 1; k = e + 1. If e = 12, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 6 to q, which gives q = r + 26.\n2. Substitute r = l + 6 to q, which gives q = l + 32.\n3. Substitute l = s + 19 to q, which gives q = s + 51.\n4. Substitute s = k + 15 to q, which gives q = k + 66.\n5. Substitute k = e + 1 to q, which gives q = e + 67.\n6. Substitute e = 12 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 1676,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 6; b = i + 15; i = c + 7; p = b + 15; d = p + 14; r = l + 6; e = 12; q = x + 20; l = s + 19; s = k + 15; x = r + 6; n = e + 1; k = e + 1. If e = 12, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 13", "q": "g + 12", "i": "q + 20", "y": "i + 8", "m": "y + 2", "w": "m + 8", "d": "t + 18", "n": "d + 11", "x": "n + 10", "h": "x + 8", "c": "h + 4", "j": "c + 2", "t": 16}, "premises": {"t": 16}, "target": "w"}, "answer": {"steps": [["m", "y + 2", "y + 10"], ["y", "i + 8", "i + 18"], ["i", "q + 20", "q + 38"], ["q", "g + 12", "g + 50"], ["g", "t + 13", "t + 63"], ["t", 16, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"t": 16}, "is_reverse": true}}
| 1,677
| 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; n = d + 11; j = c + 2; m = y + 2; i = q + 20; d = t + 18; c = h + 4; w = m + 8; t = 16; q = g + 12; h = x + 8; g = t + 13; y = i + 8. If t = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 2 to w, which gives w = y + 10.\n2. Substitute y = i + 8 to w, which gives w = i + 18.\n3. Substitute i = q + 20 to w, which gives w = q + 38.\n4. Substitute q = g + 12 to w, which gives w = g + 50.\n5. Substitute g = t + 13 to w, which gives w = t + 63.\n6. Substitute t = 16 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 1677,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 10; n = d + 11; j = c + 2; m = y + 2; i = q + 20; d = t + 18; c = h + 4; w = m + 8; t = 16; q = g + 12; h = x + 8; g = t + 13; y = i + 8. If t = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 16", "b": "n + 20", "a": "b + 7", "l": "a + 8", "k": "l + 2", "o": "k + 19", "z": "h + 20", "i": "z + 12", "q": "i + 10", "d": "q + 3", "m": "d + 10", "c": "m + 16", "h": 17}, "premises": {"h": 17}, "target": "o"}, "answer": {"steps": [["k", "l + 2", "l + 21"], ["l", "a + 8", "a + 29"], ["a", "b + 7", "b + 36"], ["b", "n + 20", "n + 56"], ["n", "h + 16", "h + 72"], ["h", 17, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"h": 17}, "is_reverse": true}}
| 1,678
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 20; d = q + 3; q = i + 10; i = z + 12; l = a + 8; z = h + 20; c = m + 16; n = h + 16; a = b + 7; m = d + 10; k = l + 2; h = 17; o = k + 19. If h = 17, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 2 to o, which gives o = l + 21.\n2. Substitute l = a + 8 to o, which gives o = a + 29.\n3. Substitute a = b + 7 to o, which gives o = b + 36.\n4. Substitute b = n + 20 to o, which gives o = n + 56.\n5. Substitute n = h + 16 to o, which gives o = h + 72.\n6. Substitute h = 17 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 1678,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 20; d = q + 3; q = i + 10; i = z + 12; l = a + 8; z = h + 20; c = m + 16; n = h + 16; a = b + 7; m = d + 10; k = l + 2; h = 17; o = k + 19. If h = 17, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 17", "e": "h + 20", "c": "e + 1", "o": "c + 2", "t": "o + 9", "a": "t + 8", "m": "z + 9", "q": "m + 2", "k": "q + 9", "x": "k + 10", "y": "x + 17", "g": "y + 10", "z": 2}, "premises": {"z": 2}, "target": "a"}, "answer": {"steps": [["t", "o + 9", "o + 17"], ["o", "c + 2", "c + 19"], ["c", "e + 1", "e + 20"], ["e", "h + 20", "h + 40"], ["h", "z + 17", "z + 57"], ["z", 2, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"z": 2}, "is_reverse": true}}
| 1,679
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = t + 8; e = h + 20; x = k + 10; m = z + 9; c = e + 1; h = z + 17; z = 2; o = c + 2; q = m + 2; g = y + 10; y = x + 17; k = q + 9; t = o + 9. If z = 2, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 9 to a, which gives a = o + 17.\n2. Substitute o = c + 2 to a, which gives a = c + 19.\n3. Substitute c = e + 1 to a, which gives a = e + 20.\n4. Substitute e = h + 20 to a, which gives a = h + 40.\n5. Substitute h = z + 17 to a, which gives a = z + 57.\n6. Substitute z = 2 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 1679,
"question": "Consider a system of variables where each variable is defined as follows: a = t + 8; e = h + 20; x = k + 10; m = z + 9; c = e + 1; h = z + 17; z = 2; o = c + 2; q = m + 2; g = y + 10; y = x + 17; k = q + 9; t = o + 9. If z = 2, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"t": "u + 20", "x": "t + 13", "z": "x + 13", "w": "z + 17", "f": "w + 6", "i": "f + 18", "r": "u + 9", "k": "r + 18", "l": "k + 14", "d": "l + 12", "p": "d + 9", "n": "p + 1", "u": 7}, "premises": {"u": 7}, "target": "i"}, "answer": {"steps": [["f", "w + 6", "w + 24"], ["w", "z + 17", "z + 41"], ["z", "x + 13", "x + 54"], ["x", "t + 13", "t + 67"], ["t", "u + 20", "u + 87"], ["u", 7, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"u": 7}, "is_reverse": true}}
| 1,680
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 13; u = 7; r = u + 9; t = u + 20; w = z + 17; z = x + 13; k = r + 18; d = l + 12; l = k + 14; f = w + 6; n = p + 1; p = d + 9; i = f + 18. If u = 7, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 6 to i, which gives i = w + 24.\n2. Substitute w = z + 17 to i, which gives i = z + 41.\n3. Substitute z = x + 13 to i, which gives i = x + 54.\n4. Substitute x = t + 13 to i, which gives i = t + 67.\n5. Substitute t = u + 20 to i, which gives i = u + 87.\n6. Substitute u = 7 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 1680,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 13; u = 7; r = u + 9; t = u + 20; w = z + 17; z = x + 13; k = r + 18; d = l + 12; l = k + 14; f = w + 6; n = p + 1; p = d + 9; i = f + 18. If u = 7, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"f": "p + 9", "v": "f + 14", "t": "v + 12", "e": "t + 13", "b": "e + 20", "w": "b + 13", "n": "p + 11", "x": "n + 18", "q": "x + 15", "i": "q + 17", "z": "i + 19", "y": "z + 17", "p": 17}, "premises": {"p": 17}, "target": "w"}, "answer": {"steps": [["b", "e + 20", "e + 33"], ["e", "t + 13", "t + 46"], ["t", "v + 12", "v + 58"], ["v", "f + 14", "f + 72"], ["f", "p + 9", "p + 81"], ["p", 17, "98"]], "target_var_name": "w", "target_value": 98, "value_dict": {"p": 17}, "is_reverse": true}}
| 1,681
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 18; p = 17; v = f + 14; b = e + 20; e = t + 13; i = q + 17; n = p + 11; y = z + 17; t = v + 12; z = i + 19; f = p + 9; q = x + 15; w = b + 13. If p = 17, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 20 to w, which gives w = e + 33.\n2. Substitute e = t + 13 to w, which gives w = t + 46.\n3. Substitute t = v + 12 to w, which gives w = v + 58.\n4. Substitute v = f + 14 to w, which gives w = f + 72.\n5. Substitute f = p + 9 to w, which gives w = p + 81.\n6. Substitute p = 17 to w, which gives w = 98.\n\nThus, the final answer is w = \\boxed{98}.",
"index": 1681,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 18; p = 17; v = f + 14; b = e + 20; e = t + 13; i = q + 17; n = p + 11; y = z + 17; t = v + 12; z = i + 19; f = p + 9; q = x + 15; w = b + 13. If p = 17, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 7", "w": "p + 13", "x": "w + 8", "t": "x + 20", "d": "t + 7", "r": "d + 7", "m": "g + 2", "l": "m + 3", "i": "l + 13", "j": "i + 2", "v": "j + 15", "y": "v + 20", "g": 9}, "premises": {"g": 9}, "target": "r"}, "answer": {"steps": [["d", "t + 7", "t + 14"], ["t", "x + 20", "x + 34"], ["x", "w + 8", "w + 42"], ["w", "p + 13", "p + 55"], ["p", "g + 7", "g + 62"], ["g", 9, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"g": 9}, "is_reverse": true}}
| 1,682
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 3; d = t + 7; i = l + 13; r = d + 7; g = 9; p = g + 7; j = i + 2; w = p + 13; v = j + 15; y = v + 20; m = g + 2; t = x + 20; x = w + 8. Given that g = 9, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 7 to r, which gives r = t + 14.\n2. Substitute t = x + 20 to r, which gives r = x + 34.\n3. Substitute x = w + 8 to r, which gives r = w + 42.\n4. Substitute w = p + 13 to r, which gives r = p + 55.\n5. Substitute p = g + 7 to r, which gives r = g + 62.\n6. Substitute g = 9 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 1682,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 3; d = t + 7; i = l + 13; r = d + 7; g = 9; p = g + 7; j = i + 2; w = p + 13; v = j + 15; y = v + 20; m = g + 2; t = x + 20; x = w + 8. Given that g = 9, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 12", "g": "e + 16", "v": "g + 9", "d": "v + 3", "u": "d + 1", "o": "u + 3", "q": "k + 8", "y": "q + 1", "r": "y + 13", "m": "r + 9", "a": "m + 5", "t": "a + 11", "k": 7}, "premises": {"k": 7}, "target": "o"}, "answer": {"steps": [["u", "d + 1", "d + 4"], ["d", "v + 3", "v + 7"], ["v", "g + 9", "g + 16"], ["g", "e + 16", "e + 32"], ["e", "k + 12", "k + 44"], ["k", 7, "51"]], "target_var_name": "o", "target_value": 51, "value_dict": {"k": 7}, "is_reverse": true}}
| 1,683
| 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 = r + 9; r = y + 13; q = k + 8; y = q + 1; o = u + 3; a = m + 5; d = v + 3; t = a + 11; u = d + 1; v = g + 9; g = e + 16; k = 7; e = k + 12. If k = 7, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 1 to o, which gives o = d + 4.\n2. Substitute d = v + 3 to o, which gives o = v + 7.\n3. Substitute v = g + 9 to o, which gives o = g + 16.\n4. Substitute g = e + 16 to o, which gives o = e + 32.\n5. Substitute e = k + 12 to o, which gives o = k + 44.\n6. Substitute k = 7 to o, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 1683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 9; r = y + 13; q = k + 8; y = q + 1; o = u + 3; a = m + 5; d = v + 3; t = a + 11; u = d + 1; v = g + 9; g = e + 16; k = 7; e = k + 12. If k = 7, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 17", "j": "g + 20", "w": "j + 14", "h": "w + 12", "m": "h + 12", "r": "m + 11", "a": "o + 16", "e": "a + 13", "y": "e + 6", "s": "y + 14", "n": "s + 4", "z": "n + 12", "o": 13}, "premises": {"o": 13}, "target": "r"}, "answer": {"steps": [["m", "h + 12", "h + 23"], ["h", "w + 12", "w + 35"], ["w", "j + 14", "j + 49"], ["j", "g + 20", "g + 69"], ["g", "o + 17", "o + 86"], ["o", 13, "99"]], "target_var_name": "r", "target_value": 99, "value_dict": {"o": 13}, "is_reverse": true}}
| 1,684
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 12; a = o + 16; o = 13; e = a + 13; g = o + 17; s = y + 14; w = j + 14; r = m + 11; n = s + 4; h = w + 12; j = g + 20; y = e + 6; m = h + 12. If o = 13, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 12 to r, which gives r = h + 23.\n2. Substitute h = w + 12 to r, which gives r = w + 35.\n3. Substitute w = j + 14 to r, which gives r = j + 49.\n4. Substitute j = g + 20 to r, which gives r = g + 69.\n5. Substitute g = o + 17 to r, which gives r = o + 86.\n6. Substitute o = 13 to r, which gives r = 99.\n\nThus, the final answer is r = \\boxed{99}.",
"index": 1684,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 12; a = o + 16; o = 13; e = a + 13; g = o + 17; s = y + 14; w = j + 14; r = m + 11; n = s + 4; h = w + 12; j = g + 20; y = e + 6; m = h + 12. If o = 13, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 6", "e": "i + 1", "t": "e + 15", "v": "t + 12", "h": "v + 3", "s": "h + 11", "l": "n + 14", "u": "l + 16", "p": "u + 18", "q": "p + 13", "z": "q + 18", "r": "z + 3", "n": 13}, "premises": {"n": 13}, "target": "s"}, "answer": {"steps": [["h", "v + 3", "v + 14"], ["v", "t + 12", "t + 26"], ["t", "e + 15", "e + 41"], ["e", "i + 1", "i + 42"], ["i", "n + 6", "n + 48"], ["n", 13, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"n": 13}, "is_reverse": true}}
| 1,685
| 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 = n + 6; v = t + 12; s = h + 11; e = i + 1; r = z + 3; n = 13; t = e + 15; u = l + 16; q = p + 13; p = u + 18; l = n + 14; h = v + 3; z = q + 18. If n = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 3 to s, which gives s = v + 14.\n2. Substitute v = t + 12 to s, which gives s = t + 26.\n3. Substitute t = e + 15 to s, which gives s = e + 41.\n4. Substitute e = i + 1 to s, which gives s = i + 42.\n5. Substitute i = n + 6 to s, which gives s = n + 48.\n6. Substitute n = 13 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 1685,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 6; v = t + 12; s = h + 11; e = i + 1; r = z + 3; n = 13; t = e + 15; u = l + 16; q = p + 13; p = u + 18; l = n + 14; h = v + 3; z = q + 18. If n = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 20", "l": "n + 9", "h": "l + 15", "k": "h + 20", "j": "k + 8", "w": "j + 17", "r": "q + 3", "a": "r + 16", "m": "a + 9", "b": "m + 16", "f": "b + 6", "x": "f + 2", "q": 6}, "premises": {"q": 6}, "target": "w"}, "answer": {"steps": [["j", "k + 8", "k + 25"], ["k", "h + 20", "h + 45"], ["h", "l + 15", "l + 60"], ["l", "n + 9", "n + 69"], ["n", "q + 20", "q + 89"], ["q", 6, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"q": 6}, "is_reverse": true}}
| 1,686
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 15; x = f + 2; w = j + 17; m = a + 9; l = n + 9; q = 6; n = q + 20; a = r + 16; r = q + 3; b = m + 16; k = h + 20; j = k + 8; f = b + 6. If q = 6, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 8 to w, which gives w = k + 25.\n2. Substitute k = h + 20 to w, which gives w = h + 45.\n3. Substitute h = l + 15 to w, which gives w = l + 60.\n4. Substitute l = n + 9 to w, which gives w = n + 69.\n5. Substitute n = q + 20 to w, which gives w = q + 89.\n6. Substitute q = 6 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 1686,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 15; x = f + 2; w = j + 17; m = a + 9; l = n + 9; q = 6; n = q + 20; a = r + 16; r = q + 3; b = m + 16; k = h + 20; j = k + 8; f = b + 6. If q = 6, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 11", "j": "k + 11", "c": "j + 2", "v": "c + 15", "a": "v + 6", "h": "a + 15", "n": "g + 13", "t": "n + 18", "s": "t + 12", "w": "s + 13", "z": "w + 1", "y": "z + 6", "g": 15}, "premises": {"g": 15}, "target": "h"}, "answer": {"steps": [["a", "v + 6", "v + 21"], ["v", "c + 15", "c + 36"], ["c", "j + 2", "j + 38"], ["j", "k + 11", "k + 49"], ["k", "g + 11", "g + 60"], ["g", 15, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"g": 15}, "is_reverse": true}}
| 1,687
| 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 = g + 13; a = v + 6; z = w + 1; c = j + 2; h = a + 15; y = z + 6; w = s + 13; t = n + 18; s = t + 12; j = k + 11; g = 15; v = c + 15; k = g + 11. If g = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 6 to h, which gives h = v + 21.\n2. Substitute v = c + 15 to h, which gives h = c + 36.\n3. Substitute c = j + 2 to h, which gives h = j + 38.\n4. Substitute j = k + 11 to h, which gives h = k + 49.\n5. Substitute k = g + 11 to h, which gives h = g + 60.\n6. Substitute g = 15 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 1687,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 13; a = v + 6; z = w + 1; c = j + 2; h = a + 15; y = z + 6; w = s + 13; t = n + 18; s = t + 12; j = k + 11; g = 15; v = c + 15; k = g + 11. If g = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 9", "x": "i + 14", "f": "x + 4", "w": "f + 4", "h": "w + 7", "y": "h + 11", "z": "g + 2", "n": "z + 16", "e": "n + 1", "c": "e + 19", "b": "c + 15", "s": "b + 8", "g": 7}, "premises": {"g": 7}, "target": "y"}, "answer": {"steps": [["h", "w + 7", "w + 18"], ["w", "f + 4", "f + 22"], ["f", "x + 4", "x + 26"], ["x", "i + 14", "i + 40"], ["i", "g + 9", "g + 49"], ["g", 7, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"g": 7}, "is_reverse": true}}
| 1,688
| 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 = h + 11; i = g + 9; x = i + 14; n = z + 16; f = x + 4; z = g + 2; s = b + 8; e = n + 1; w = f + 4; c = e + 19; b = c + 15; g = 7; h = w + 7. If g = 7, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 7 to y, which gives y = w + 18.\n2. Substitute w = f + 4 to y, which gives y = f + 22.\n3. Substitute f = x + 4 to y, which gives y = x + 26.\n4. Substitute x = i + 14 to y, which gives y = i + 40.\n5. Substitute i = g + 9 to y, which gives y = g + 49.\n6. Substitute g = 7 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 1688,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 11; i = g + 9; x = i + 14; n = z + 16; f = x + 4; z = g + 2; s = b + 8; e = n + 1; w = f + 4; c = e + 19; b = c + 15; g = 7; h = w + 7. If g = 7, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 7", "m": "h + 5", "t": "m + 4", "l": "t + 6", "u": "l + 3", "v": "u + 17", "y": "j + 7", "p": "y + 16", "r": "p + 15", "o": "r + 13", "z": "o + 9", "n": "z + 13", "j": 14}, "premises": {"j": 14}, "target": "v"}, "answer": {"steps": [["u", "l + 3", "l + 20"], ["l", "t + 6", "t + 26"], ["t", "m + 4", "m + 30"], ["m", "h + 5", "h + 35"], ["h", "j + 7", "j + 42"], ["j", 14, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"j": 14}, "is_reverse": true}}
| 1,689
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 14; o = r + 13; t = m + 4; r = p + 15; u = l + 3; n = z + 13; p = y + 16; l = t + 6; y = j + 7; v = u + 17; h = j + 7; z = o + 9; m = h + 5. If j = 14, 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 u = l + 3 to v, which gives v = l + 20.\n2. Substitute l = t + 6 to v, which gives v = t + 26.\n3. Substitute t = m + 4 to v, which gives v = m + 30.\n4. Substitute m = h + 5 to v, which gives v = h + 35.\n5. Substitute h = j + 7 to v, which gives v = j + 42.\n6. Substitute j = 14 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 1689,
"question": "Consider a system of variables where each variable is defined as follows: j = 14; o = r + 13; t = m + 4; r = p + 15; u = l + 3; n = z + 13; p = y + 16; l = t + 6; y = j + 7; v = u + 17; h = j + 7; z = o + 9; m = h + 5. If j = 14, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 9", "h": "t + 7", "k": "h + 1", "g": "k + 18", "n": "g + 12", "j": "n + 1", "u": "v + 4", "b": "u + 4", "o": "b + 15", "e": "o + 1", "i": "e + 2", "s": "i + 15", "v": 15}, "premises": {"v": 15}, "target": "j"}, "answer": {"steps": [["n", "g + 12", "g + 13"], ["g", "k + 18", "k + 31"], ["k", "h + 1", "h + 32"], ["h", "t + 7", "t + 39"], ["t", "v + 9", "v + 48"], ["v", 15, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,690
| 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 = o + 1; o = b + 15; n = g + 12; v = 15; g = k + 18; t = v + 9; s = i + 15; u = v + 4; j = n + 1; i = e + 2; k = h + 1; b = u + 4; h = t + 7. If v = 15, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 12 to j, which gives j = g + 13.\n2. Substitute g = k + 18 to j, which gives j = k + 31.\n3. Substitute k = h + 1 to j, which gives j = h + 32.\n4. Substitute h = t + 7 to j, which gives j = t + 39.\n5. Substitute t = v + 9 to j, which gives j = v + 48.\n6. Substitute v = 15 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 1690,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 1; o = b + 15; n = g + 12; v = 15; g = k + 18; t = v + 9; s = i + 15; u = v + 4; j = n + 1; i = e + 2; k = h + 1; b = u + 4; h = t + 7. If v = 15, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 5", "e": "r + 12", "o": "e + 16", "t": "o + 18", "j": "t + 16", "a": "j + 8", "l": "p + 11", "h": "l + 3", "i": "h + 6", "f": "i + 4", "v": "f + 13", "x": "v + 19", "p": 6}, "premises": {"p": 6}, "target": "a"}, "answer": {"steps": [["j", "t + 16", "t + 24"], ["t", "o + 18", "o + 42"], ["o", "e + 16", "e + 58"], ["e", "r + 12", "r + 70"], ["r", "p + 5", "p + 75"], ["p", 6, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"p": 6}, "is_reverse": true}}
| 1,691
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = 6; l = p + 11; v = f + 13; o = e + 16; r = p + 5; f = i + 4; i = h + 6; x = v + 19; j = t + 16; t = o + 18; h = l + 3; a = j + 8; e = r + 12. Given that p = 6, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 16 to a, which gives a = t + 24.\n2. Substitute t = o + 18 to a, which gives a = o + 42.\n3. Substitute o = e + 16 to a, which gives a = e + 58.\n4. Substitute e = r + 12 to a, which gives a = r + 70.\n5. Substitute r = p + 5 to a, which gives a = p + 75.\n6. Substitute p = 6 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 1691,
"question": "Suppose a collection of variables is related by the following definitions: p = 6; l = p + 11; v = f + 13; o = e + 16; r = p + 5; f = i + 4; i = h + 6; x = v + 19; j = t + 16; t = o + 18; h = l + 3; a = j + 8; e = r + 12. Given that p = 6, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 3", "b": "y + 13", "n": "b + 7", "f": "n + 1", "q": "f + 7", "s": "q + 11", "z": "d + 3", "w": "z + 8", "r": "w + 8", "g": "r + 12", "p": "g + 14", "m": "p + 18", "d": 12}, "premises": {"d": 12}, "target": "s"}, "answer": {"steps": [["q", "f + 7", "f + 18"], ["f", "n + 1", "n + 19"], ["n", "b + 7", "b + 26"], ["b", "y + 13", "y + 39"], ["y", "d + 3", "d + 42"], ["d", 12, "54"]], "target_var_name": "s", "target_value": 54, "value_dict": {"d": 12}, "is_reverse": true}}
| 1,692
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 1; r = w + 8; y = d + 3; b = y + 13; g = r + 12; n = b + 7; w = z + 8; p = g + 14; q = f + 7; d = 12; s = q + 11; m = p + 18; z = d + 3. Given that d = 12, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 7 to s, which gives s = f + 18.\n2. Substitute f = n + 1 to s, which gives s = n + 19.\n3. Substitute n = b + 7 to s, which gives s = b + 26.\n4. Substitute b = y + 13 to s, which gives s = y + 39.\n5. Substitute y = d + 3 to s, which gives s = d + 42.\n6. Substitute d = 12 to s, which gives s = 54.\n\nThus, the final answer is s = \\boxed{54}.",
"index": 1692,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 1; r = w + 8; y = d + 3; b = y + 13; g = r + 12; n = b + 7; w = z + 8; p = g + 14; q = f + 7; d = 12; s = q + 11; m = p + 18; z = d + 3. Given that d = 12, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 19", "i": "g + 3", "x": "i + 5", "r": "x + 6", "p": "r + 2", "m": "p + 10", "c": "l + 17", "h": "c + 1", "q": "h + 19", "t": "q + 1", "j": "t + 19", "z": "j + 11", "l": 9}, "premises": {"l": 9}, "target": "m"}, "answer": {"steps": [["p", "r + 2", "r + 12"], ["r", "x + 6", "x + 18"], ["x", "i + 5", "i + 23"], ["i", "g + 3", "g + 26"], ["g", "l + 19", "l + 45"], ["l", 9, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"l": 9}, "is_reverse": true}}
| 1,693
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 19; m = p + 10; h = c + 1; p = r + 2; x = i + 5; l = 9; r = x + 6; t = q + 1; c = l + 17; q = h + 19; j = t + 19; z = j + 11; i = g + 3. Given that l = 9, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 2 to m, which gives m = r + 12.\n2. Substitute r = x + 6 to m, which gives m = x + 18.\n3. Substitute x = i + 5 to m, which gives m = i + 23.\n4. Substitute i = g + 3 to m, which gives m = g + 26.\n5. Substitute g = l + 19 to m, which gives m = l + 45.\n6. Substitute l = 9 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 1693,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 19; m = p + 10; h = c + 1; p = r + 2; x = i + 5; l = 9; r = x + 6; t = q + 1; c = l + 17; q = h + 19; j = t + 19; z = j + 11; i = g + 3. Given that l = 9, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 8", "k": "b + 13", "x": "k + 5", "s": "x + 18", "n": "s + 18", "c": "n + 14", "f": "l + 13", "q": "f + 2", "a": "q + 2", "g": "a + 15", "m": "g + 5", "v": "m + 7", "l": 17}, "premises": {"l": 17}, "target": "c"}, "answer": {"steps": [["n", "s + 18", "s + 32"], ["s", "x + 18", "x + 50"], ["x", "k + 5", "k + 55"], ["k", "b + 13", "b + 68"], ["b", "l + 8", "l + 76"], ["l", 17, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"l": 17}, "is_reverse": true}}
| 1,694
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 18; x = k + 5; m = g + 5; b = l + 8; g = a + 15; f = l + 13; k = b + 13; s = x + 18; a = q + 2; v = m + 7; c = n + 14; l = 17; q = f + 2. If l = 17, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 18 to c, which gives c = s + 32.\n2. Substitute s = x + 18 to c, which gives c = x + 50.\n3. Substitute x = k + 5 to c, which gives c = k + 55.\n4. Substitute k = b + 13 to c, which gives c = b + 68.\n5. Substitute b = l + 8 to c, which gives c = l + 76.\n6. Substitute l = 17 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 1694,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 18; x = k + 5; m = g + 5; b = l + 8; g = a + 15; f = l + 13; k = b + 13; s = x + 18; a = q + 2; v = m + 7; c = n + 14; l = 17; q = f + 2. If l = 17, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 5", "d": "i + 16", "b": "d + 4", "s": "b + 12", "z": "s + 11", "w": "z + 12", "v": "a + 1", "u": "v + 9", "q": "u + 9", "r": "q + 10", "l": "r + 2", "t": "l + 4", "a": 4}, "premises": {"a": 4}, "target": "w"}, "answer": {"steps": [["z", "s + 11", "s + 23"], ["s", "b + 12", "b + 35"], ["b", "d + 4", "d + 39"], ["d", "i + 16", "i + 55"], ["i", "a + 5", "a + 60"], ["a", 4, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,695
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 4; u = v + 9; b = d + 4; a = 4; s = b + 12; w = z + 12; d = i + 16; v = a + 1; r = q + 10; l = r + 2; z = s + 11; i = a + 5; q = u + 9. Given that a = 4, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 11 to w, which gives w = s + 23.\n2. Substitute s = b + 12 to w, which gives w = b + 35.\n3. Substitute b = d + 4 to w, which gives w = d + 39.\n4. Substitute d = i + 16 to w, which gives w = i + 55.\n5. Substitute i = a + 5 to w, which gives w = a + 60.\n6. Substitute a = 4 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 1695,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 4; u = v + 9; b = d + 4; a = 4; s = b + 12; w = z + 12; d = i + 16; v = a + 1; r = q + 10; l = r + 2; z = s + 11; i = a + 5; q = u + 9. Given that a = 4, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 15", "l": "x + 6", "m": "l + 18", "p": "m + 9", "k": "p + 20", "e": "k + 12", "z": "j + 3", "s": "z + 6", "c": "s + 2", "w": "c + 6", "f": "w + 5", "r": "f + 2", "j": 11}, "premises": {"j": 11}, "target": "e"}, "answer": {"steps": [["k", "p + 20", "p + 32"], ["p", "m + 9", "m + 41"], ["m", "l + 18", "l + 59"], ["l", "x + 6", "x + 65"], ["x", "j + 15", "j + 80"], ["j", 11, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"j": 11}, "is_reverse": true}}
| 1,696
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 15; j = 11; f = w + 5; s = z + 6; z = j + 3; c = s + 2; p = m + 9; e = k + 12; w = c + 6; m = l + 18; r = f + 2; l = x + 6; k = p + 20. If j = 11, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 20 to e, which gives e = p + 32.\n2. Substitute p = m + 9 to e, which gives e = m + 41.\n3. Substitute m = l + 18 to e, which gives e = l + 59.\n4. Substitute l = x + 6 to e, which gives e = x + 65.\n5. Substitute x = j + 15 to e, which gives e = j + 80.\n6. Substitute j = 11 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 1696,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 15; j = 11; f = w + 5; s = z + 6; z = j + 3; c = s + 2; p = m + 9; e = k + 12; w = c + 6; m = l + 18; r = f + 2; l = x + 6; k = p + 20. If j = 11, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 14", "i": "h + 8", "o": "i + 20", "s": "o + 9", "k": "s + 1", "r": "k + 10", "v": "a + 19", "t": "v + 7", "q": "t + 4", "p": "q + 6", "x": "p + 1", "d": "x + 7", "a": 19}, "premises": {"a": 19}, "target": "r"}, "answer": {"steps": [["k", "s + 1", "s + 11"], ["s", "o + 9", "o + 20"], ["o", "i + 20", "i + 40"], ["i", "h + 8", "h + 48"], ["h", "a + 14", "a + 62"], ["a", 19, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"a": 19}, "is_reverse": true}}
| 1,697
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 14; a = 19; p = q + 6; x = p + 1; v = a + 19; o = i + 20; r = k + 10; t = v + 7; i = h + 8; d = x + 7; q = t + 4; s = o + 9; k = s + 1. If a = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 1 to r, which gives r = s + 11.\n2. Substitute s = o + 9 to r, which gives r = o + 20.\n3. Substitute o = i + 20 to r, which gives r = i + 40.\n4. Substitute i = h + 8 to r, which gives r = h + 48.\n5. Substitute h = a + 14 to r, which gives r = a + 62.\n6. Substitute a = 19 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 1697,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 14; a = 19; p = q + 6; x = p + 1; v = a + 19; o = i + 20; r = k + 10; t = v + 7; i = h + 8; d = x + 7; q = t + 4; s = o + 9; k = s + 1. If a = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 13", "b": "u + 9", "j": "b + 5", "s": "j + 17", "g": "s + 19", "r": "g + 15", "t": "o + 7", "k": "t + 13", "v": "k + 4", "z": "v + 19", "c": "z + 16", "e": "c + 3", "o": 19}, "premises": {"o": 19}, "target": "r"}, "answer": {"steps": [["g", "s + 19", "s + 34"], ["s", "j + 17", "j + 51"], ["j", "b + 5", "b + 56"], ["b", "u + 9", "u + 65"], ["u", "o + 13", "o + 78"], ["o", 19, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"o": 19}, "is_reverse": true}}
| 1,698
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 13; o = 19; s = j + 17; j = b + 5; u = o + 13; t = o + 7; v = k + 4; e = c + 3; r = g + 15; z = v + 19; g = s + 19; b = u + 9; c = z + 16. If o = 19, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 19 to r, which gives r = s + 34.\n2. Substitute s = j + 17 to r, which gives r = j + 51.\n3. Substitute j = b + 5 to r, which gives r = b + 56.\n4. Substitute b = u + 9 to r, which gives r = u + 65.\n5. Substitute u = o + 13 to r, which gives r = o + 78.\n6. Substitute o = 19 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 1698,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 13; o = 19; s = j + 17; j = b + 5; u = o + 13; t = o + 7; v = k + 4; e = c + 3; r = g + 15; z = v + 19; g = s + 19; b = u + 9; c = z + 16. If o = 19, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 11", "k": "i + 3", "o": "k + 12", "q": "o + 8", "f": "q + 1", "z": "f + 4", "h": "r + 15", "u": "h + 2", "w": "u + 10", "x": "w + 14", "y": "x + 2", "n": "y + 8", "r": 7}, "premises": {"r": 7}, "target": "z"}, "answer": {"steps": [["f", "q + 1", "q + 5"], ["q", "o + 8", "o + 13"], ["o", "k + 12", "k + 25"], ["k", "i + 3", "i + 28"], ["i", "r + 11", "r + 39"], ["r", 7, "46"]], "target_var_name": "z", "target_value": 46, "value_dict": {"r": 7}, "is_reverse": true}}
| 1,699
| 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 = f + 4; u = h + 2; h = r + 15; o = k + 12; q = o + 8; k = i + 3; x = w + 14; f = q + 1; r = 7; w = u + 10; y = x + 2; n = y + 8; i = r + 11. If r = 7, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 1 to z, which gives z = q + 5.\n2. Substitute q = o + 8 to z, which gives z = o + 13.\n3. Substitute o = k + 12 to z, which gives z = k + 25.\n4. Substitute k = i + 3 to z, which gives z = i + 28.\n5. Substitute i = r + 11 to z, which gives z = r + 39.\n6. Substitute r = 7 to z, which gives z = 46.\n\nThus, the final answer is z = \\boxed{46}.",
"index": 1699,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 4; u = h + 2; h = r + 15; o = k + 12; q = o + 8; k = i + 3; x = w + 14; f = q + 1; r = 7; w = u + 10; y = x + 2; n = y + 8; i = r + 11. If r = 7, what is the resulting value of z?",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.