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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"q": "v + 15", "i": "q + 4", "c": "i + 14", "f": "c + 4", "s": "f + 17", "e": "s + 19", "x": "v + 14", "y": "x + 8", "g": "y + 15", "j": "g + 7", "m": "j + 7", "a": "m + 10", "v": 17}, "premises": {"v": 17}, "target": "e"}, "answer": {"steps": [["s", "f + 17", "f + 36"], ["f", "c + 4", "c + 40"], ["c", "i + 14", "i + 54"], ["i", "q + 4", "q + 58"], ["q", "v + 15", "v + 73"], ["v", 17, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"v": 17}, "is_reverse": true}}
| 4,000
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 17; x = v + 14; y = x + 8; g = y + 15; m = j + 7; i = q + 4; c = i + 14; e = s + 19; q = v + 15; a = m + 10; f = c + 4; v = 17; j = g + 7. If v = 17, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 17 to e, which gives e = f + 36.\n2. Substitute f = c + 4 to e, which gives e = c + 40.\n3. Substitute c = i + 14 to e, which gives e = i + 54.\n4. Substitute i = q + 4 to e, which gives e = q + 58.\n5. Substitute q = v + 15 to e, which gives e = v + 73.\n6. Substitute v = 17 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 4000,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 17; x = v + 14; y = x + 8; g = y + 15; m = j + 7; i = q + 4; c = i + 14; e = s + 19; q = v + 15; a = m + 10; f = c + 4; v = 17; j = g + 7. If v = 17, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 17", "q": "o + 9", "u": "q + 10", "g": "u + 12", "x": "g + 17", "j": "x + 17", "d": "k + 18", "l": "d + 5", "p": "l + 7", "y": "p + 11", "a": "y + 14", "h": "a + 18", "k": 11}, "premises": {"k": 11}, "target": "j"}, "answer": {"steps": [["x", "g + 17", "g + 34"], ["g", "u + 12", "u + 46"], ["u", "q + 10", "q + 56"], ["q", "o + 9", "o + 65"], ["o", "k + 17", "k + 82"], ["k", 11, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"k": 11}, "is_reverse": true}}
| 4,001
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 18; q = o + 9; l = d + 5; g = u + 12; x = g + 17; p = l + 7; j = x + 17; a = y + 14; k = 11; d = k + 18; y = p + 11; o = k + 17; u = q + 10. If k = 11, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 17 to j, which gives j = g + 34.\n2. Substitute g = u + 12 to j, which gives j = u + 46.\n3. Substitute u = q + 10 to j, which gives j = q + 56.\n4. Substitute q = o + 9 to j, which gives j = o + 65.\n5. Substitute o = k + 17 to j, which gives j = k + 82.\n6. Substitute k = 11 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 4001,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 18; q = o + 9; l = d + 5; g = u + 12; x = g + 17; p = l + 7; j = x + 17; a = y + 14; k = 11; d = k + 18; y = p + 11; o = k + 17; u = q + 10. If k = 11, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 14", "y": "k + 10", "i": "y + 18", "f": "i + 20", "z": "f + 3", "l": "z + 3", "v": "g + 15", "b": "v + 15", "h": "b + 6", "u": "h + 1", "w": "u + 14", "o": "w + 14", "g": 18}, "premises": {"g": 18}, "target": "l"}, "answer": {"steps": [["z", "f + 3", "f + 6"], ["f", "i + 20", "i + 26"], ["i", "y + 18", "y + 44"], ["y", "k + 10", "k + 54"], ["k", "g + 14", "g + 68"], ["g", 18, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"g": 18}, "is_reverse": true}}
| 4,002
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 18; h = b + 6; f = i + 20; y = k + 10; l = z + 3; i = y + 18; w = u + 14; z = f + 3; b = v + 15; k = g + 14; v = g + 15; o = w + 14; u = h + 1. Given that g = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 3 to l, which gives l = f + 6.\n2. Substitute f = i + 20 to l, which gives l = i + 26.\n3. Substitute i = y + 18 to l, which gives l = y + 44.\n4. Substitute y = k + 10 to l, which gives l = k + 54.\n5. Substitute k = g + 14 to l, which gives l = g + 68.\n6. Substitute g = 18 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 4002,
"question": "Suppose a collection of variables is related by the following definitions: g = 18; h = b + 6; f = i + 20; y = k + 10; l = z + 3; i = y + 18; w = u + 14; z = f + 3; b = v + 15; k = g + 14; v = g + 15; o = w + 14; u = h + 1. Given that g = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 11", "l": "n + 19", "v": "l + 15", "d": "v + 7", "g": "d + 18", "q": "g + 7", "h": "w + 13", "p": "h + 16", "e": "p + 7", "f": "e + 16", "k": "f + 20", "t": "k + 16", "w": 4}, "premises": {"w": 4}, "target": "q"}, "answer": {"steps": [["g", "d + 18", "d + 25"], ["d", "v + 7", "v + 32"], ["v", "l + 15", "l + 47"], ["l", "n + 19", "n + 66"], ["n", "w + 11", "w + 77"], ["w", 4, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"w": 4}, "is_reverse": true}}
| 4,003
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 16; l = n + 19; t = k + 16; v = l + 15; g = d + 18; e = p + 7; n = w + 11; q = g + 7; d = v + 7; k = f + 20; f = e + 16; h = w + 13; w = 4. If w = 4, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 18 to q, which gives q = d + 25.\n2. Substitute d = v + 7 to q, which gives q = v + 32.\n3. Substitute v = l + 15 to q, which gives q = l + 47.\n4. Substitute l = n + 19 to q, which gives q = n + 66.\n5. Substitute n = w + 11 to q, which gives q = w + 77.\n6. Substitute w = 4 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 4003,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 16; l = n + 19; t = k + 16; v = l + 15; g = d + 18; e = p + 7; n = w + 11; q = g + 7; d = v + 7; k = f + 20; f = e + 16; h = w + 13; w = 4. If w = 4, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 12", "o": "t + 14", "i": "o + 5", "h": "i + 12", "q": "h + 15", "n": "q + 8", "d": "l + 6", "b": "d + 18", "j": "b + 8", "c": "j + 3", "y": "c + 6", "f": "y + 5", "l": 4}, "premises": {"l": 4}, "target": "n"}, "answer": {"steps": [["q", "h + 15", "h + 23"], ["h", "i + 12", "i + 35"], ["i", "o + 5", "o + 40"], ["o", "t + 14", "t + 54"], ["t", "l + 12", "l + 66"], ["l", 4, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"l": 4}, "is_reverse": true}}
| 4,004
| 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 = y + 5; t = l + 12; d = l + 6; q = h + 15; o = t + 14; l = 4; c = j + 3; b = d + 18; i = o + 5; y = c + 6; n = q + 8; j = b + 8; h = i + 12. If l = 4, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 15 to n, which gives n = h + 23.\n2. Substitute h = i + 12 to n, which gives n = i + 35.\n3. Substitute i = o + 5 to n, which gives n = o + 40.\n4. Substitute o = t + 14 to n, which gives n = t + 54.\n5. Substitute t = l + 12 to n, which gives n = l + 66.\n6. Substitute l = 4 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 4004,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 5; t = l + 12; d = l + 6; q = h + 15; o = t + 14; l = 4; c = j + 3; b = d + 18; i = o + 5; y = c + 6; n = q + 8; j = b + 8; h = i + 12. If l = 4, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 14", "a": "k + 10", "t": "a + 14", "y": "t + 9", "b": "y + 18", "g": "b + 15", "o": "n + 13", "p": "o + 2", "h": "p + 12", "l": "h + 14", "u": "l + 14", "i": "u + 10", "n": 9}, "premises": {"n": 9}, "target": "g"}, "answer": {"steps": [["b", "y + 18", "y + 33"], ["y", "t + 9", "t + 42"], ["t", "a + 14", "a + 56"], ["a", "k + 10", "k + 66"], ["k", "n + 14", "n + 80"], ["n", 9, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"n": 9}, "is_reverse": true}}
| 4,005
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 14; o = n + 13; k = n + 14; a = k + 10; u = l + 14; p = o + 2; t = a + 14; g = b + 15; y = t + 9; n = 9; b = y + 18; i = u + 10; h = p + 12. If n = 9, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 18 to g, which gives g = y + 33.\n2. Substitute y = t + 9 to g, which gives g = t + 42.\n3. Substitute t = a + 14 to g, which gives g = a + 56.\n4. Substitute a = k + 10 to g, which gives g = k + 66.\n5. Substitute k = n + 14 to g, which gives g = n + 80.\n6. Substitute n = 9 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 4005,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 14; o = n + 13; k = n + 14; a = k + 10; u = l + 14; p = o + 2; t = a + 14; g = b + 15; y = t + 9; n = 9; b = y + 18; i = u + 10; h = p + 12. If n = 9, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 1", "p": "d + 14", "k": "p + 2", "v": "k + 17", "g": "v + 1", "l": "g + 10", "b": "i + 7", "x": "b + 9", "a": "x + 14", "j": "a + 8", "n": "j + 13", "u": "n + 14", "i": 18}, "premises": {"i": 18}, "target": "l"}, "answer": {"steps": [["g", "v + 1", "v + 11"], ["v", "k + 17", "k + 28"], ["k", "p + 2", "p + 30"], ["p", "d + 14", "d + 44"], ["d", "i + 1", "i + 45"], ["i", 18, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"i": 18}, "is_reverse": true}}
| 4,006
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = g + 10; p = d + 14; d = i + 1; i = 18; n = j + 13; v = k + 17; j = a + 8; a = x + 14; b = i + 7; k = p + 2; u = n + 14; x = b + 9; g = v + 1. Given that i = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 1 to l, which gives l = v + 11.\n2. Substitute v = k + 17 to l, which gives l = k + 28.\n3. Substitute k = p + 2 to l, which gives l = p + 30.\n4. Substitute p = d + 14 to l, which gives l = d + 44.\n5. Substitute d = i + 1 to l, which gives l = i + 45.\n6. Substitute i = 18 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 4006,
"question": "Suppose a collection of variables is related by the following definitions: l = g + 10; p = d + 14; d = i + 1; i = 18; n = j + 13; v = k + 17; j = a + 8; a = x + 14; b = i + 7; k = p + 2; u = n + 14; x = b + 9; g = v + 1. Given that i = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 7", "c": "g + 20", "o": "c + 11", "b": "o + 13", "n": "b + 3", "d": "n + 16", "f": "w + 14", "r": "f + 19", "s": "r + 5", "z": "s + 10", "v": "z + 10", "h": "v + 13", "w": 12}, "premises": {"w": 12}, "target": "d"}, "answer": {"steps": [["n", "b + 3", "b + 19"], ["b", "o + 13", "o + 32"], ["o", "c + 11", "c + 43"], ["c", "g + 20", "g + 63"], ["g", "w + 7", "w + 70"], ["w", 12, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"w": 12}, "is_reverse": true}}
| 4,007
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 20; n = b + 3; z = s + 10; w = 12; d = n + 16; o = c + 11; g = w + 7; h = v + 13; r = f + 19; s = r + 5; f = w + 14; v = z + 10; b = o + 13. If w = 12, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 3 to d, which gives d = b + 19.\n2. Substitute b = o + 13 to d, which gives d = o + 32.\n3. Substitute o = c + 11 to d, which gives d = c + 43.\n4. Substitute c = g + 20 to d, which gives d = g + 63.\n5. Substitute g = w + 7 to d, which gives d = w + 70.\n6. Substitute w = 12 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 4007,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 20; n = b + 3; z = s + 10; w = 12; d = n + 16; o = c + 11; g = w + 7; h = v + 13; r = f + 19; s = r + 5; f = w + 14; v = z + 10; b = o + 13. If w = 12, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "f + 8", "x": "o + 10", "y": "x + 1", "n": "y + 3", "s": "n + 9", "e": "s + 8", "h": "f + 4", "i": "h + 2", "c": "i + 9", "z": "c + 16", "v": "z + 2", "m": "v + 14", "f": 7}, "premises": {"f": 7}, "target": "e"}, "answer": {"steps": [["s", "n + 9", "n + 17"], ["n", "y + 3", "y + 20"], ["y", "x + 1", "x + 21"], ["x", "o + 10", "o + 31"], ["o", "f + 8", "f + 39"], ["f", 7, "46"]], "target_var_name": "e", "target_value": 46, "value_dict": {"f": 7}, "is_reverse": true}}
| 4,008
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = o + 10; i = h + 2; c = i + 9; e = s + 8; v = z + 2; s = n + 9; h = f + 4; o = f + 8; m = v + 14; f = 7; n = y + 3; z = c + 16; y = x + 1. Given that f = 7, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 9 to e, which gives e = n + 17.\n2. Substitute n = y + 3 to e, which gives e = y + 20.\n3. Substitute y = x + 1 to e, which gives e = x + 21.\n4. Substitute x = o + 10 to e, which gives e = o + 31.\n5. Substitute o = f + 8 to e, which gives e = f + 39.\n6. Substitute f = 7 to e, which gives e = 46.\n\nThus, the final answer is e = \\boxed{46}.",
"index": 4008,
"question": "Suppose a collection of variables is related by the following definitions: x = o + 10; i = h + 2; c = i + 9; e = s + 8; v = z + 2; s = n + 9; h = f + 4; o = f + 8; m = v + 14; f = 7; n = y + 3; z = c + 16; y = x + 1. Given that f = 7, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 3", "l": "k + 19", "z": "l + 18", "o": "z + 8", "e": "o + 19", "c": "e + 17", "g": "p + 2", "r": "g + 14", "y": "r + 11", "s": "y + 9", "v": "s + 5", "i": "v + 2", "p": 6}, "premises": {"p": 6}, "target": "c"}, "answer": {"steps": [["e", "o + 19", "o + 36"], ["o", "z + 8", "z + 44"], ["z", "l + 18", "l + 62"], ["l", "k + 19", "k + 81"], ["k", "p + 3", "p + 84"], ["p", 6, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"p": 6}, "is_reverse": true}}
| 4,009
| 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 = p + 3; z = l + 18; e = o + 19; l = k + 19; c = e + 17; v = s + 5; g = p + 2; y = r + 11; i = v + 2; r = g + 14; p = 6; o = z + 8; s = y + 9. If p = 6, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 19 to c, which gives c = o + 36.\n2. Substitute o = z + 8 to c, which gives c = z + 44.\n3. Substitute z = l + 18 to c, which gives c = l + 62.\n4. Substitute l = k + 19 to c, which gives c = k + 81.\n5. Substitute k = p + 3 to c, which gives c = p + 84.\n6. Substitute p = 6 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 4009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 3; z = l + 18; e = o + 19; l = k + 19; c = e + 17; v = s + 5; g = p + 2; y = r + 11; i = v + 2; r = g + 14; p = 6; o = z + 8; s = y + 9. If p = 6, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"c": "g + 3", "k": "c + 18", "o": "k + 12", "i": "o + 19", "a": "i + 15", "m": "a + 5", "l": "g + 13", "y": "l + 5", "v": "y + 5", "r": "v + 16", "x": "r + 18", "j": "x + 16", "g": 17}, "premises": {"g": 17}, "target": "m"}, "answer": {"steps": [["a", "i + 15", "i + 20"], ["i", "o + 19", "o + 39"], ["o", "k + 12", "k + 51"], ["k", "c + 18", "c + 69"], ["c", "g + 3", "g + 72"], ["g", 17, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"g": 17}, "is_reverse": true}}
| 4,010
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 5; j = x + 16; o = k + 12; r = v + 16; m = a + 5; g = 17; x = r + 18; i = o + 19; c = g + 3; l = g + 13; y = l + 5; a = i + 15; k = c + 18. If g = 17, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 15 to m, which gives m = i + 20.\n2. Substitute i = o + 19 to m, which gives m = o + 39.\n3. Substitute o = k + 12 to m, which gives m = k + 51.\n4. Substitute k = c + 18 to m, which gives m = c + 69.\n5. Substitute c = g + 3 to m, which gives m = g + 72.\n6. Substitute g = 17 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 4010,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 5; j = x + 16; o = k + 12; r = v + 16; m = a + 5; g = 17; x = r + 18; i = o + 19; c = g + 3; l = g + 13; y = l + 5; a = i + 15; k = c + 18. If g = 17, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 16", "j": "h + 17", "i": "j + 8", "e": "i + 5", "v": "e + 16", "s": "v + 14", "x": "z + 7", "t": "x + 6", "o": "t + 17", "d": "o + 9", "c": "d + 19", "n": "c + 19", "z": 19}, "premises": {"z": 19}, "target": "s"}, "answer": {"steps": [["v", "e + 16", "e + 30"], ["e", "i + 5", "i + 35"], ["i", "j + 8", "j + 43"], ["j", "h + 17", "h + 60"], ["h", "z + 16", "z + 76"], ["z", 19, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"z": 19}, "is_reverse": true}}
| 4,011
| 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 = c + 19; v = e + 16; j = h + 17; h = z + 16; i = j + 8; d = o + 9; e = i + 5; t = x + 6; x = z + 7; o = t + 17; z = 19; c = d + 19; s = v + 14. If z = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 16 to s, which gives s = e + 30.\n2. Substitute e = i + 5 to s, which gives s = i + 35.\n3. Substitute i = j + 8 to s, which gives s = j + 43.\n4. Substitute j = h + 17 to s, which gives s = h + 60.\n5. Substitute h = z + 16 to s, which gives s = z + 76.\n6. Substitute z = 19 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 4011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 19; v = e + 16; j = h + 17; h = z + 16; i = j + 8; d = o + 9; e = i + 5; t = x + 6; x = z + 7; o = t + 17; z = 19; c = d + 19; s = v + 14. If z = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 17", "s": "a + 18", "f": "s + 15", "y": "f + 4", "k": "y + 15", "m": "k + 10", "w": "d + 1", "x": "w + 5", "v": "x + 9", "o": "v + 3", "g": "o + 19", "z": "g + 7", "d": 10}, "premises": {"d": 10}, "target": "m"}, "answer": {"steps": [["k", "y + 15", "y + 25"], ["y", "f + 4", "f + 29"], ["f", "s + 15", "s + 44"], ["s", "a + 18", "a + 62"], ["a", "d + 17", "d + 79"], ["d", 10, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"d": 10}, "is_reverse": true}}
| 4,012
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 15; d = 10; s = a + 18; g = o + 19; x = w + 5; v = x + 9; o = v + 3; a = d + 17; y = f + 4; f = s + 15; z = g + 7; m = k + 10; w = d + 1. Given that d = 10, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 15 to m, which gives m = y + 25.\n2. Substitute y = f + 4 to m, which gives m = f + 29.\n3. Substitute f = s + 15 to m, which gives m = s + 44.\n4. Substitute s = a + 18 to m, which gives m = a + 62.\n5. Substitute a = d + 17 to m, which gives m = d + 79.\n6. Substitute d = 10 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 4012,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 15; d = 10; s = a + 18; g = o + 19; x = w + 5; v = x + 9; o = v + 3; a = d + 17; y = f + 4; f = s + 15; z = g + 7; m = k + 10; w = d + 1. Given that d = 10, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 14", "f": "e + 18", "d": "f + 19", "w": "d + 16", "b": "w + 8", "h": "b + 5", "u": "c + 3", "v": "u + 2", "l": "v + 11", "n": "l + 12", "r": "n + 12", "t": "r + 6", "c": 16}, "premises": {"c": 16}, "target": "h"}, "answer": {"steps": [["b", "w + 8", "w + 13"], ["w", "d + 16", "d + 29"], ["d", "f + 19", "f + 48"], ["f", "e + 18", "e + 66"], ["e", "c + 14", "c + 80"], ["c", 16, "96"]], "target_var_name": "h", "target_value": 96, "value_dict": {"c": 16}, "is_reverse": true}}
| 4,013
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 14; l = v + 11; r = n + 12; c = 16; d = f + 19; b = w + 8; n = l + 12; h = b + 5; v = u + 2; w = d + 16; u = c + 3; f = e + 18; t = r + 6. If c = 16, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 8 to h, which gives h = w + 13.\n2. Substitute w = d + 16 to h, which gives h = d + 29.\n3. Substitute d = f + 19 to h, which gives h = f + 48.\n4. Substitute f = e + 18 to h, which gives h = e + 66.\n5. Substitute e = c + 14 to h, which gives h = c + 80.\n6. Substitute c = 16 to h, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 4013,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 14; l = v + 11; r = n + 12; c = 16; d = f + 19; b = w + 8; n = l + 12; h = b + 5; v = u + 2; w = d + 16; u = c + 3; f = e + 18; t = r + 6. If c = 16, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 19", "i": "h + 9", "s": "i + 17", "v": "s + 7", "a": "v + 6", "r": "a + 9", "l": "j + 20", "d": "l + 17", "t": "d + 6", "u": "t + 19", "x": "u + 12", "n": "x + 16", "j": 8}, "premises": {"j": 8}, "target": "r"}, "answer": {"steps": [["a", "v + 6", "v + 15"], ["v", "s + 7", "s + 22"], ["s", "i + 17", "i + 39"], ["i", "h + 9", "h + 48"], ["h", "j + 19", "j + 67"], ["j", 8, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"j": 8}, "is_reverse": true}}
| 4,014
| 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 = a + 9; v = s + 7; n = x + 16; l = j + 20; h = j + 19; t = d + 6; j = 8; u = t + 19; d = l + 17; x = u + 12; i = h + 9; s = i + 17; a = v + 6. If j = 8, what is the resulting value of r?",
"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 r, which gives r = v + 15.\n2. Substitute v = s + 7 to r, which gives r = s + 22.\n3. Substitute s = i + 17 to r, which gives r = i + 39.\n4. Substitute i = h + 9 to r, which gives r = h + 48.\n5. Substitute h = j + 19 to r, which gives r = j + 67.\n6. Substitute j = 8 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 4014,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 9; v = s + 7; n = x + 16; l = j + 20; h = j + 19; t = d + 6; j = 8; u = t + 19; d = l + 17; x = u + 12; i = h + 9; s = i + 17; a = v + 6. If j = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"w": "j + 5", "h": "w + 4", "q": "h + 1", "u": "q + 14", "s": "u + 14", "o": "s + 9", "e": "j + 13", "t": "e + 17", "n": "t + 4", "v": "n + 1", "c": "v + 3", "z": "c + 15", "j": 18}, "premises": {"j": 18}, "target": "o"}, "answer": {"steps": [["s", "u + 14", "u + 23"], ["u", "q + 14", "q + 37"], ["q", "h + 1", "h + 38"], ["h", "w + 4", "w + 42"], ["w", "j + 5", "j + 47"], ["j", 18, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"j": 18}, "is_reverse": true}}
| 4,015
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 1; s = u + 14; t = e + 17; h = w + 4; o = s + 9; z = c + 15; e = j + 13; n = t + 4; j = 18; q = h + 1; w = j + 5; u = q + 14; c = v + 3. If j = 18, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 14 to o, which gives o = u + 23.\n2. Substitute u = q + 14 to o, which gives o = q + 37.\n3. Substitute q = h + 1 to o, which gives o = h + 38.\n4. Substitute h = w + 4 to o, which gives o = w + 42.\n5. Substitute w = j + 5 to o, which gives o = j + 47.\n6. Substitute j = 18 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 4015,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 1; s = u + 14; t = e + 17; h = w + 4; o = s + 9; z = c + 15; e = j + 13; n = t + 4; j = 18; q = h + 1; w = j + 5; u = q + 14; c = v + 3. If j = 18, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 4", "d": "w + 11", "u": "d + 6", "q": "u + 16", "b": "q + 11", "r": "b + 7", "y": "h + 8", "l": "y + 18", "t": "l + 19", "i": "t + 5", "e": "i + 8", "k": "e + 19", "h": 8}, "premises": {"h": 8}, "target": "r"}, "answer": {"steps": [["b", "q + 11", "q + 18"], ["q", "u + 16", "u + 34"], ["u", "d + 6", "d + 40"], ["d", "w + 11", "w + 51"], ["w", "h + 4", "h + 55"], ["h", 8, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"h": 8}, "is_reverse": true}}
| 4,016
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 5; t = l + 19; e = i + 8; r = b + 7; d = w + 11; q = u + 16; u = d + 6; l = y + 18; b = q + 11; h = 8; k = e + 19; w = h + 4; y = h + 8. If h = 8, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 11 to r, which gives r = q + 18.\n2. Substitute q = u + 16 to r, which gives r = u + 34.\n3. Substitute u = d + 6 to r, which gives r = d + 40.\n4. Substitute d = w + 11 to r, which gives r = w + 51.\n5. Substitute w = h + 4 to r, which gives r = h + 55.\n6. Substitute h = 8 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 4016,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 5; t = l + 19; e = i + 8; r = b + 7; d = w + 11; q = u + 16; u = d + 6; l = y + 18; b = q + 11; h = 8; k = e + 19; w = h + 4; y = h + 8. If h = 8, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 2", "a": "h + 19", "v": "a + 7", "o": "v + 20", "d": "o + 6", "z": "d + 20", "f": "t + 11", "p": "f + 9", "s": "p + 19", "r": "s + 19", "i": "r + 17", "g": "i + 1", "t": 10}, "premises": {"t": 10}, "target": "z"}, "answer": {"steps": [["d", "o + 6", "o + 26"], ["o", "v + 20", "v + 46"], ["v", "a + 7", "a + 53"], ["a", "h + 19", "h + 72"], ["h", "t + 2", "t + 74"], ["t", 10, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"t": 10}, "is_reverse": true}}
| 4,017
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 19; g = i + 1; v = a + 7; h = t + 2; i = r + 17; r = s + 19; f = t + 11; z = d + 20; o = v + 20; p = f + 9; d = o + 6; t = 10; a = h + 19. If t = 10, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 6 to z, which gives z = o + 26.\n2. Substitute o = v + 20 to z, which gives z = v + 46.\n3. Substitute v = a + 7 to z, which gives z = a + 53.\n4. Substitute a = h + 19 to z, which gives z = h + 72.\n5. Substitute h = t + 2 to z, which gives z = t + 74.\n6. Substitute t = 10 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 4017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 19; g = i + 1; v = a + 7; h = t + 2; i = r + 17; r = s + 19; f = t + 11; z = d + 20; o = v + 20; p = f + 9; d = o + 6; t = 10; a = h + 19. If t = 10, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 10", "q": "j + 9", "y": "q + 13", "p": "y + 20", "h": "p + 7", "k": "h + 5", "m": "b + 6", "r": "m + 13", "t": "r + 12", "z": "t + 2", "l": "z + 2", "o": "l + 8", "b": 1}, "premises": {"b": 1}, "target": "k"}, "answer": {"steps": [["h", "p + 7", "p + 12"], ["p", "y + 20", "y + 32"], ["y", "q + 13", "q + 45"], ["q", "j + 9", "j + 54"], ["j", "b + 10", "b + 64"], ["b", 1, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"b": 1}, "is_reverse": true}}
| 4,018
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = 1; p = y + 20; j = b + 10; y = q + 13; h = p + 7; z = t + 2; t = r + 12; r = m + 13; o = l + 8; k = h + 5; l = z + 2; q = j + 9; m = b + 6. Given that b = 1, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 7 to k, which gives k = p + 12.\n2. Substitute p = y + 20 to k, which gives k = y + 32.\n3. Substitute y = q + 13 to k, which gives k = q + 45.\n4. Substitute q = j + 9 to k, which gives k = j + 54.\n5. Substitute j = b + 10 to k, which gives k = b + 64.\n6. Substitute b = 1 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 4018,
"question": "Suppose a collection of variables is related by the following definitions: b = 1; p = y + 20; j = b + 10; y = q + 13; h = p + 7; z = t + 2; t = r + 12; r = m + 13; o = l + 8; k = h + 5; l = z + 2; q = j + 9; m = b + 6. Given that b = 1, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 17", "t": "s + 19", "x": "t + 16", "a": "x + 18", "q": "a + 12", "j": "q + 1", "k": "w + 12", "b": "k + 10", "e": "b + 6", "z": "e + 16", "d": "z + 14", "l": "d + 11", "w": 4}, "premises": {"w": 4}, "target": "j"}, "answer": {"steps": [["q", "a + 12", "a + 13"], ["a", "x + 18", "x + 31"], ["x", "t + 16", "t + 47"], ["t", "s + 19", "s + 66"], ["s", "w + 17", "w + 83"], ["w", 4, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"w": 4}, "is_reverse": true}}
| 4,019
| 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 = k + 10; k = w + 12; l = d + 11; s = w + 17; z = e + 16; q = a + 12; e = b + 6; w = 4; x = t + 16; t = s + 19; a = x + 18; j = q + 1; d = z + 14. If w = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 12 to j, which gives j = a + 13.\n2. Substitute a = x + 18 to j, which gives j = x + 31.\n3. Substitute x = t + 16 to j, which gives j = t + 47.\n4. Substitute t = s + 19 to j, which gives j = s + 66.\n5. Substitute s = w + 17 to j, which gives j = w + 83.\n6. Substitute w = 4 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 4019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 10; k = w + 12; l = d + 11; s = w + 17; z = e + 16; q = a + 12; e = b + 6; w = 4; x = t + 16; t = s + 19; a = x + 18; j = q + 1; d = z + 14. If w = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 6", "j": "q + 4", "l": "j + 7", "u": "l + 16", "v": "u + 18", "h": "v + 13", "g": "t + 3", "i": "g + 7", "b": "i + 17", "n": "b + 17", "f": "n + 14", "e": "f + 4", "t": 12}, "premises": {"t": 12}, "target": "h"}, "answer": {"steps": [["v", "u + 18", "u + 31"], ["u", "l + 16", "l + 47"], ["l", "j + 7", "j + 54"], ["j", "q + 4", "q + 58"], ["q", "t + 6", "t + 64"], ["t", 12, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"t": 12}, "is_reverse": true}}
| 4,020
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 4; q = t + 6; v = u + 18; h = v + 13; f = n + 14; l = j + 7; j = q + 4; b = i + 17; u = l + 16; i = g + 7; n = b + 17; g = t + 3; t = 12. If t = 12, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 18 to h, which gives h = u + 31.\n2. Substitute u = l + 16 to h, which gives h = l + 47.\n3. Substitute l = j + 7 to h, which gives h = j + 54.\n4. Substitute j = q + 4 to h, which gives h = q + 58.\n5. Substitute q = t + 6 to h, which gives h = t + 64.\n6. Substitute t = 12 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 4020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 4; q = t + 6; v = u + 18; h = v + 13; f = n + 14; l = j + 7; j = q + 4; b = i + 17; u = l + 16; i = g + 7; n = b + 17; g = t + 3; t = 12. If t = 12, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 3", "t": "q + 4", "h": "t + 20", "a": "h + 6", "v": "a + 12", "m": "v + 8", "f": "j + 1", "s": "f + 1", "x": "s + 10", "z": "x + 19", "n": "z + 4", "l": "n + 2", "j": 4}, "premises": {"j": 4}, "target": "m"}, "answer": {"steps": [["v", "a + 12", "a + 20"], ["a", "h + 6", "h + 26"], ["h", "t + 20", "t + 46"], ["t", "q + 4", "q + 50"], ["q", "j + 3", "j + 53"], ["j", 4, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"j": 4}, "is_reverse": true}}
| 4,021
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 8; z = x + 19; l = n + 2; h = t + 20; x = s + 10; j = 4; s = f + 1; n = z + 4; t = q + 4; q = j + 3; f = j + 1; v = a + 12; a = h + 6. If j = 4, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 12 to m, which gives m = a + 20.\n2. Substitute a = h + 6 to m, which gives m = h + 26.\n3. Substitute h = t + 20 to m, which gives m = t + 46.\n4. Substitute t = q + 4 to m, which gives m = q + 50.\n5. Substitute q = j + 3 to m, which gives m = j + 53.\n6. Substitute j = 4 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 4021,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 8; z = x + 19; l = n + 2; h = t + 20; x = s + 10; j = 4; s = f + 1; n = z + 4; t = q + 4; q = j + 3; f = j + 1; v = a + 12; a = h + 6. If j = 4, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 5", "d": "j + 9", "q": "d + 12", "m": "q + 7", "f": "m + 16", "v": "f + 9", "t": "c + 1", "w": "t + 20", "l": "w + 3", "x": "l + 8", "u": "x + 11", "g": "u + 7", "c": 6}, "premises": {"c": 6}, "target": "v"}, "answer": {"steps": [["f", "m + 16", "m + 25"], ["m", "q + 7", "q + 32"], ["q", "d + 12", "d + 44"], ["d", "j + 9", "j + 53"], ["j", "c + 5", "c + 58"], ["c", 6, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"c": 6}, "is_reverse": true}}
| 4,022
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 3; v = f + 9; t = c + 1; f = m + 16; g = u + 7; m = q + 7; u = x + 11; q = d + 12; x = l + 8; c = 6; d = j + 9; w = t + 20; j = c + 5. Given that c = 6, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 16 to v, which gives v = m + 25.\n2. Substitute m = q + 7 to v, which gives v = q + 32.\n3. Substitute q = d + 12 to v, which gives v = d + 44.\n4. Substitute d = j + 9 to v, which gives v = j + 53.\n5. Substitute j = c + 5 to v, which gives v = c + 58.\n6. Substitute c = 6 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 4022,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 3; v = f + 9; t = c + 1; f = m + 16; g = u + 7; m = q + 7; u = x + 11; q = d + 12; x = l + 8; c = 6; d = j + 9; w = t + 20; j = c + 5. Given that c = 6, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 2", "g": "l + 15", "q": "g + 11", "b": "q + 8", "a": "b + 17", "w": "a + 1", "o": "c + 17", "z": "o + 15", "y": "z + 7", "r": "y + 19", "v": "r + 2", "x": "v + 1", "c": 6}, "premises": {"c": 6}, "target": "w"}, "answer": {"steps": [["a", "b + 17", "b + 18"], ["b", "q + 8", "q + 26"], ["q", "g + 11", "g + 37"], ["g", "l + 15", "l + 52"], ["l", "c + 2", "c + 54"], ["c", 6, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"c": 6}, "is_reverse": true}}
| 4,023
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 2; r = y + 19; c = 6; w = a + 1; b = q + 8; g = l + 15; a = b + 17; z = o + 15; q = g + 11; x = v + 1; y = z + 7; l = c + 2; o = c + 17. Given that c = 6, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 17 to w, which gives w = b + 18.\n2. Substitute b = q + 8 to w, which gives w = q + 26.\n3. Substitute q = g + 11 to w, which gives w = g + 37.\n4. Substitute g = l + 15 to w, which gives w = l + 52.\n5. Substitute l = c + 2 to w, which gives w = c + 54.\n6. Substitute c = 6 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 4023,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 2; r = y + 19; c = 6; w = a + 1; b = q + 8; g = l + 15; a = b + 17; z = o + 15; q = g + 11; x = v + 1; y = z + 7; l = c + 2; o = c + 17. Given that c = 6, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 6", "o": "c + 13", "z": "o + 12", "v": "z + 17", "y": "v + 12", "m": "y + 4", "j": "t + 7", "l": "j + 17", "u": "l + 10", "e": "u + 1", "d": "e + 4", "a": "d + 17", "t": 2}, "premises": {"t": 2}, "target": "m"}, "answer": {"steps": [["y", "v + 12", "v + 16"], ["v", "z + 17", "z + 33"], ["z", "o + 12", "o + 45"], ["o", "c + 13", "c + 58"], ["c", "t + 6", "t + 64"], ["t", 2, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"t": 2}, "is_reverse": true}}
| 4,024
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 7; d = e + 4; u = l + 10; l = j + 17; a = d + 17; t = 2; e = u + 1; v = z + 17; c = t + 6; z = o + 12; m = y + 4; y = v + 12; o = c + 13. Given that t = 2, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 12 to m, which gives m = v + 16.\n2. Substitute v = z + 17 to m, which gives m = z + 33.\n3. Substitute z = o + 12 to m, which gives m = o + 45.\n4. Substitute o = c + 13 to m, which gives m = c + 58.\n5. Substitute c = t + 6 to m, which gives m = t + 64.\n6. Substitute t = 2 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 4024,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 7; d = e + 4; u = l + 10; l = j + 17; a = d + 17; t = 2; e = u + 1; v = z + 17; c = t + 6; z = o + 12; m = y + 4; y = v + 12; o = c + 13. Given that t = 2, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 13", "x": "d + 5", "f": "x + 14", "z": "f + 12", "p": "z + 7", "w": "p + 7", "q": "c + 10", "s": "q + 17", "v": "s + 18", "y": "v + 18", "i": "y + 14", "g": "i + 14", "c": 4}, "premises": {"c": 4}, "target": "w"}, "answer": {"steps": [["p", "z + 7", "z + 14"], ["z", "f + 12", "f + 26"], ["f", "x + 14", "x + 40"], ["x", "d + 5", "d + 45"], ["d", "c + 13", "c + 58"], ["c", 4, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"c": 4}, "is_reverse": true}}
| 4,025
| 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 = d + 5; f = x + 14; y = v + 18; z = f + 12; i = y + 14; g = i + 14; s = q + 17; w = p + 7; p = z + 7; d = c + 13; q = c + 10; v = s + 18; c = 4. If c = 4, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 7 to w, which gives w = z + 14.\n2. Substitute z = f + 12 to w, which gives w = f + 26.\n3. Substitute f = x + 14 to w, which gives w = x + 40.\n4. Substitute x = d + 5 to w, which gives w = d + 45.\n5. Substitute d = c + 13 to w, which gives w = c + 58.\n6. Substitute c = 4 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 4025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 5; f = x + 14; y = v + 18; z = f + 12; i = y + 14; g = i + 14; s = q + 17; w = p + 7; p = z + 7; d = c + 13; q = c + 10; v = s + 18; c = 4. If c = 4, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 6", "l": "h + 4", "i": "l + 2", "d": "i + 18", "k": "d + 14", "t": "k + 9", "x": "q + 7", "u": "x + 12", "z": "u + 2", "s": "z + 4", "c": "s + 1", "g": "c + 6", "q": 12}, "premises": {"q": 12}, "target": "t"}, "answer": {"steps": [["k", "d + 14", "d + 23"], ["d", "i + 18", "i + 41"], ["i", "l + 2", "l + 43"], ["l", "h + 4", "h + 47"], ["h", "q + 6", "q + 53"], ["q", 12, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"q": 12}, "is_reverse": true}}
| 4,026
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = l + 2; c = s + 1; l = h + 4; z = u + 2; k = d + 14; d = i + 18; q = 12; s = z + 4; u = x + 12; x = q + 7; h = q + 6; t = k + 9; g = c + 6. Given that q = 12, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 14 to t, which gives t = d + 23.\n2. Substitute d = i + 18 to t, which gives t = i + 41.\n3. Substitute i = l + 2 to t, which gives t = l + 43.\n4. Substitute l = h + 4 to t, which gives t = h + 47.\n5. Substitute h = q + 6 to t, which gives t = q + 53.\n6. Substitute q = 12 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 4026,
"question": "Suppose a collection of variables is related by the following definitions: i = l + 2; c = s + 1; l = h + 4; z = u + 2; k = d + 14; d = i + 18; q = 12; s = z + 4; u = x + 12; x = q + 7; h = q + 6; t = k + 9; g = c + 6. Given that q = 12, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 8", "e": "n + 17", "q": "e + 13", "t": "q + 19", "v": "t + 18", "d": "v + 10", "a": "h + 10", "u": "a + 15", "w": "u + 11", "s": "w + 16", "y": "s + 11", "f": "y + 16", "h": 8}, "premises": {"h": 8}, "target": "d"}, "answer": {"steps": [["v", "t + 18", "t + 28"], ["t", "q + 19", "q + 47"], ["q", "e + 13", "e + 60"], ["e", "n + 17", "n + 77"], ["n", "h + 8", "h + 85"], ["h", 8, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"h": 8}, "is_reverse": true}}
| 4,027
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 8; v = t + 18; t = q + 19; f = y + 16; s = w + 16; q = e + 13; n = h + 8; w = u + 11; u = a + 15; d = v + 10; a = h + 10; y = s + 11; e = n + 17. If h = 8, determine the 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 v = t + 18 to d, which gives d = t + 28.\n2. Substitute t = q + 19 to d, which gives d = q + 47.\n3. Substitute q = e + 13 to d, which gives d = e + 60.\n4. Substitute e = n + 17 to d, which gives d = n + 77.\n5. Substitute n = h + 8 to d, which gives d = h + 85.\n6. Substitute h = 8 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 4027,
"question": "Consider a system of variables where each variable is defined as follows: h = 8; v = t + 18; t = q + 19; f = y + 16; s = w + 16; q = e + 13; n = h + 8; w = u + 11; u = a + 15; d = v + 10; a = h + 10; y = s + 11; e = n + 17. If h = 8, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "i + 4", "p": "f + 9", "e": "p + 17", "c": "e + 1", "s": "c + 3", "a": "s + 3", "m": "i + 5", "h": "m + 11", "q": "h + 16", "k": "q + 7", "b": "k + 14", "l": "b + 11", "i": 18}, "premises": {"i": 18}, "target": "a"}, "answer": {"steps": [["s", "c + 3", "c + 6"], ["c", "e + 1", "e + 7"], ["e", "p + 17", "p + 24"], ["p", "f + 9", "f + 33"], ["f", "i + 4", "i + 37"], ["i", 18, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"i": 18}, "is_reverse": true}}
| 4,028
| 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 = q + 7; b = k + 14; a = s + 3; c = e + 1; l = b + 11; e = p + 17; m = i + 5; i = 18; q = h + 16; f = i + 4; h = m + 11; s = c + 3; p = f + 9. If i = 18, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 3 to a, which gives a = c + 6.\n2. Substitute c = e + 1 to a, which gives a = e + 7.\n3. Substitute e = p + 17 to a, which gives a = p + 24.\n4. Substitute p = f + 9 to a, which gives a = f + 33.\n5. Substitute f = i + 4 to a, which gives a = i + 37.\n6. Substitute i = 18 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 4028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 7; b = k + 14; a = s + 3; c = e + 1; l = b + 11; e = p + 17; m = i + 5; i = 18; q = h + 16; f = i + 4; h = m + 11; s = c + 3; p = f + 9. If i = 18, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 8", "r": "h + 16", "a": "r + 16", "q": "a + 14", "y": "q + 1", "x": "y + 18", "v": "c + 6", "k": "v + 18", "p": "k + 20", "f": "p + 15", "j": "f + 18", "m": "j + 9", "c": 2}, "premises": {"c": 2}, "target": "x"}, "answer": {"steps": [["y", "q + 1", "q + 19"], ["q", "a + 14", "a + 33"], ["a", "r + 16", "r + 49"], ["r", "h + 16", "h + 65"], ["h", "c + 8", "c + 73"], ["c", 2, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"c": 2}, "is_reverse": true}}
| 4,029
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = p + 15; r = h + 16; y = q + 1; k = v + 18; v = c + 6; x = y + 18; m = j + 9; j = f + 18; a = r + 16; h = c + 8; q = a + 14; p = k + 20; c = 2. If c = 2, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 1 to x, which gives x = q + 19.\n2. Substitute q = a + 14 to x, which gives x = a + 33.\n3. Substitute a = r + 16 to x, which gives x = r + 49.\n4. Substitute r = h + 16 to x, which gives x = h + 65.\n5. Substitute h = c + 8 to x, which gives x = c + 73.\n6. Substitute c = 2 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 4029,
"question": "Consider a system of variables where each variable is defined as follows: f = p + 15; r = h + 16; y = q + 1; k = v + 18; v = c + 6; x = y + 18; m = j + 9; j = f + 18; a = r + 16; h = c + 8; q = a + 14; p = k + 20; c = 2. If c = 2, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 13", "e": "f + 19", "j": "e + 7", "s": "j + 10", "x": "s + 3", "p": "x + 12", "t": "k + 11", "b": "t + 3", "y": "b + 9", "c": "y + 14", "m": "c + 19", "o": "m + 3", "k": 17}, "premises": {"k": 17}, "target": "p"}, "answer": {"steps": [["x", "s + 3", "s + 15"], ["s", "j + 10", "j + 25"], ["j", "e + 7", "e + 32"], ["e", "f + 19", "f + 51"], ["f", "k + 13", "k + 64"], ["k", 17, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"k": 17}, "is_reverse": true}}
| 4,030
| 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 = k + 13; s = j + 10; m = c + 19; e = f + 19; o = m + 3; p = x + 12; y = b + 9; x = s + 3; t = k + 11; b = t + 3; j = e + 7; k = 17; c = y + 14. If k = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 3 to p, which gives p = s + 15.\n2. Substitute s = j + 10 to p, which gives p = j + 25.\n3. Substitute j = e + 7 to p, which gives p = e + 32.\n4. Substitute e = f + 19 to p, which gives p = f + 51.\n5. Substitute f = k + 13 to p, which gives p = k + 64.\n6. Substitute k = 17 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 4030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 13; s = j + 10; m = c + 19; e = f + 19; o = m + 3; p = x + 12; y = b + 9; x = s + 3; t = k + 11; b = t + 3; j = e + 7; k = 17; c = y + 14. If k = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 1", "f": "y + 6", "n": "f + 7", "i": "n + 7", "m": "i + 4", "l": "m + 8", "c": "w + 13", "k": "c + 14", "p": "k + 3", "j": "p + 14", "b": "j + 13", "v": "b + 13", "w": 15}, "premises": {"w": 15}, "target": "l"}, "answer": {"steps": [["m", "i + 4", "i + 12"], ["i", "n + 7", "n + 19"], ["n", "f + 7", "f + 26"], ["f", "y + 6", "y + 32"], ["y", "w + 1", "w + 33"], ["w", 15, "48"]], "target_var_name": "l", "target_value": 48, "value_dict": {"w": 15}, "is_reverse": true}}
| 4,031
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 14; l = m + 8; y = w + 1; k = c + 14; b = j + 13; v = b + 13; c = w + 13; w = 15; f = y + 6; i = n + 7; m = i + 4; p = k + 3; n = f + 7. Given that w = 15, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 4 to l, which gives l = i + 12.\n2. Substitute i = n + 7 to l, which gives l = n + 19.\n3. Substitute n = f + 7 to l, which gives l = f + 26.\n4. Substitute f = y + 6 to l, which gives l = y + 32.\n5. Substitute y = w + 1 to l, which gives l = w + 33.\n6. Substitute w = 15 to l, which gives l = 48.\n\nThus, the final answer is l = \\boxed{48}.",
"index": 4031,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 14; l = m + 8; y = w + 1; k = c + 14; b = j + 13; v = b + 13; c = w + 13; w = 15; f = y + 6; i = n + 7; m = i + 4; p = k + 3; n = f + 7. Given that w = 15, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 17", "j": "x + 16", "e": "j + 17", "y": "e + 7", "m": "y + 16", "q": "m + 1", "r": "d + 12", "n": "r + 9", "c": "n + 11", "a": "c + 11", "f": "a + 4", "p": "f + 16", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["m", "y + 16", "y + 17"], ["y", "e + 7", "e + 24"], ["e", "j + 17", "j + 41"], ["j", "x + 16", "x + 57"], ["x", "d + 17", "d + 74"], ["d", 9, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"d": 9}, "is_reverse": true}}
| 4,032
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 17; r = d + 12; c = n + 11; y = e + 7; x = d + 17; p = f + 16; d = 9; a = c + 11; q = m + 1; n = r + 9; f = a + 4; j = x + 16; m = y + 16. Given that d = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 16 to q, which gives q = y + 17.\n2. Substitute y = e + 7 to q, which gives q = e + 24.\n3. Substitute e = j + 17 to q, which gives q = j + 41.\n4. Substitute j = x + 16 to q, which gives q = x + 57.\n5. Substitute x = d + 17 to q, which gives q = d + 74.\n6. Substitute d = 9 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 4032,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 17; r = d + 12; c = n + 11; y = e + 7; x = d + 17; p = f + 16; d = 9; a = c + 11; q = m + 1; n = r + 9; f = a + 4; j = x + 16; m = y + 16. Given that d = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 11", "b": "o + 19", "s": "b + 8", "k": "s + 15", "f": "k + 4", "x": "f + 6", "e": "l + 6", "h": "e + 11", "z": "h + 8", "q": "z + 6", "w": "q + 2", "j": "w + 2", "l": 6}, "premises": {"l": 6}, "target": "x"}, "answer": {"steps": [["f", "k + 4", "k + 10"], ["k", "s + 15", "s + 25"], ["s", "b + 8", "b + 33"], ["b", "o + 19", "o + 52"], ["o", "l + 11", "l + 63"], ["l", 6, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"l": 6}, "is_reverse": true}}
| 4,033
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 6; f = k + 4; z = h + 8; o = l + 11; k = s + 15; l = 6; s = b + 8; w = q + 2; j = w + 2; q = z + 6; h = e + 11; b = o + 19; e = l + 6. If l = 6, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 4 to x, which gives x = k + 10.\n2. Substitute k = s + 15 to x, which gives x = s + 25.\n3. Substitute s = b + 8 to x, which gives x = b + 33.\n4. Substitute b = o + 19 to x, which gives x = o + 52.\n5. Substitute o = l + 11 to x, which gives x = l + 63.\n6. Substitute l = 6 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 4033,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 6; f = k + 4; z = h + 8; o = l + 11; k = s + 15; l = 6; s = b + 8; w = q + 2; j = w + 2; q = z + 6; h = e + 11; b = o + 19; e = l + 6. If l = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 9", "c": "u + 3", "f": "c + 10", "h": "f + 5", "a": "h + 17", "w": "a + 10", "z": "r + 5", "y": "z + 4", "v": "y + 2", "t": "v + 2", "i": "t + 3", "s": "i + 13", "r": 14}, "premises": {"r": 14}, "target": "w"}, "answer": {"steps": [["a", "h + 17", "h + 27"], ["h", "f + 5", "f + 32"], ["f", "c + 10", "c + 42"], ["c", "u + 3", "u + 45"], ["u", "r + 9", "r + 54"], ["r", 14, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"r": 14}, "is_reverse": true}}
| 4,034
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 3; r = 14; u = r + 9; t = v + 2; s = i + 13; h = f + 5; c = u + 3; w = a + 10; a = h + 17; f = c + 10; v = y + 2; z = r + 5; y = z + 4. If r = 14, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 17 to w, which gives w = h + 27.\n2. Substitute h = f + 5 to w, which gives w = f + 32.\n3. Substitute f = c + 10 to w, which gives w = c + 42.\n4. Substitute c = u + 3 to w, which gives w = u + 45.\n5. Substitute u = r + 9 to w, which gives w = r + 54.\n6. Substitute r = 14 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 4034,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 3; r = 14; u = r + 9; t = v + 2; s = i + 13; h = f + 5; c = u + 3; w = a + 10; a = h + 17; f = c + 10; v = y + 2; z = r + 5; y = z + 4. If r = 14, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 12", "m": "x + 4", "d": "m + 15", "y": "d + 15", "c": "y + 19", "i": "c + 7", "k": "w + 10", "r": "k + 4", "h": "r + 10", "u": "h + 20", "t": "u + 2", "e": "t + 20", "w": 8}, "premises": {"w": 8}, "target": "i"}, "answer": {"steps": [["c", "y + 19", "y + 26"], ["y", "d + 15", "d + 41"], ["d", "m + 15", "m + 56"], ["m", "x + 4", "x + 60"], ["x", "w + 12", "w + 72"], ["w", 8, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"w": 8}, "is_reverse": true}}
| 4,035
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 15; k = w + 10; i = c + 7; u = h + 20; x = w + 12; e = t + 20; r = k + 4; h = r + 10; t = u + 2; w = 8; d = m + 15; c = y + 19; m = x + 4. If w = 8, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 19 to i, which gives i = y + 26.\n2. Substitute y = d + 15 to i, which gives i = d + 41.\n3. Substitute d = m + 15 to i, which gives i = m + 56.\n4. Substitute m = x + 4 to i, which gives i = x + 60.\n5. Substitute x = w + 12 to i, which gives i = w + 72.\n6. Substitute w = 8 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 4035,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 15; k = w + 10; i = c + 7; u = h + 20; x = w + 12; e = t + 20; r = k + 4; h = r + 10; t = u + 2; w = 8; d = m + 15; c = y + 19; m = x + 4. If w = 8, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 1", "e": "s + 9", "n": "e + 9", "x": "n + 12", "l": "x + 20", "h": "l + 11", "d": "c + 4", "q": "d + 1", "t": "q + 12", "z": "t + 5", "g": "z + 5", "k": "g + 5", "c": 10}, "premises": {"c": 10}, "target": "h"}, "answer": {"steps": [["l", "x + 20", "x + 31"], ["x", "n + 12", "n + 43"], ["n", "e + 9", "e + 52"], ["e", "s + 9", "s + 61"], ["s", "c + 1", "c + 62"], ["c", 10, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"c": 10}, "is_reverse": true}}
| 4,036
| 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 + 11; c = 10; n = e + 9; x = n + 12; z = t + 5; s = c + 1; e = s + 9; d = c + 4; k = g + 5; t = q + 12; q = d + 1; g = z + 5; l = x + 20. If c = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 20 to h, which gives h = x + 31.\n2. Substitute x = n + 12 to h, which gives h = n + 43.\n3. Substitute n = e + 9 to h, which gives h = e + 52.\n4. Substitute e = s + 9 to h, which gives h = s + 61.\n5. Substitute s = c + 1 to h, which gives h = c + 62.\n6. Substitute c = 10 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 4036,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 11; c = 10; n = e + 9; x = n + 12; z = t + 5; s = c + 1; e = s + 9; d = c + 4; k = g + 5; t = q + 12; q = d + 1; g = z + 5; l = x + 20. If c = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 15", "v": "h + 13", "d": "v + 18", "w": "d + 7", "m": "w + 15", "f": "m + 9", "k": "g + 8", "i": "k + 10", "o": "i + 5", "n": "o + 1", "z": "n + 20", "b": "z + 4", "g": 14}, "premises": {"g": 14}, "target": "f"}, "answer": {"steps": [["m", "w + 15", "w + 24"], ["w", "d + 7", "d + 31"], ["d", "v + 18", "v + 49"], ["v", "h + 13", "h + 62"], ["h", "g + 15", "g + 77"], ["g", 14, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"g": 14}, "is_reverse": true}}
| 4,037
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 15; o = i + 5; i = k + 10; n = o + 1; w = d + 7; b = z + 4; g = 14; v = h + 13; d = v + 18; f = m + 9; z = n + 20; m = w + 15; k = g + 8. If g = 14, determine 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 m = w + 15 to f, which gives f = w + 24.\n2. Substitute w = d + 7 to f, which gives f = d + 31.\n3. Substitute d = v + 18 to f, which gives f = v + 49.\n4. Substitute v = h + 13 to f, which gives f = h + 62.\n5. Substitute h = g + 15 to f, which gives f = g + 77.\n6. Substitute g = 14 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 4037,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 15; o = i + 5; i = k + 10; n = o + 1; w = d + 7; b = z + 4; g = 14; v = h + 13; d = v + 18; f = m + 9; z = n + 20; m = w + 15; k = g + 8. If g = 14, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 6", "a": "w + 1", "j": "a + 20", "m": "j + 2", "n": "m + 13", "o": "n + 7", "x": "c + 6", "e": "x + 19", "u": "e + 16", "g": "u + 6", "t": "g + 11", "h": "t + 7", "c": 2}, "premises": {"c": 2}, "target": "o"}, "answer": {"steps": [["n", "m + 13", "m + 20"], ["m", "j + 2", "j + 22"], ["j", "a + 20", "a + 42"], ["a", "w + 1", "w + 43"], ["w", "c + 6", "c + 49"], ["c", 2, "51"]], "target_var_name": "o", "target_value": 51, "value_dict": {"c": 2}, "is_reverse": true}}
| 4,038
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 7; c = 2; x = c + 6; n = m + 13; e = x + 19; g = u + 6; t = g + 11; m = j + 2; u = e + 16; o = n + 7; w = c + 6; j = a + 20; a = w + 1. If c = 2, determine the 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 n = m + 13 to o, which gives o = m + 20.\n2. Substitute m = j + 2 to o, which gives o = j + 22.\n3. Substitute j = a + 20 to o, which gives o = a + 42.\n4. Substitute a = w + 1 to o, which gives o = w + 43.\n5. Substitute w = c + 6 to o, which gives o = c + 49.\n6. Substitute c = 2 to o, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 4038,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 7; c = 2; x = c + 6; n = m + 13; e = x + 19; g = u + 6; t = g + 11; m = j + 2; u = e + 16; o = n + 7; w = c + 6; j = a + 20; a = w + 1. If c = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 19", "f": "x + 6", "u": "f + 5", "s": "u + 10", "q": "s + 5", "a": "q + 10", "c": "w + 9", "g": "c + 7", "i": "g + 8", "n": "i + 16", "o": "n + 14", "j": "o + 8", "w": 17}, "premises": {"w": 17}, "target": "a"}, "answer": {"steps": [["q", "s + 5", "s + 15"], ["s", "u + 10", "u + 25"], ["u", "f + 5", "f + 30"], ["f", "x + 6", "x + 36"], ["x", "w + 19", "w + 55"], ["w", 17, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"w": 17}, "is_reverse": true}}
| 4,039
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = u + 10; x = w + 19; o = n + 14; u = f + 5; a = q + 10; w = 17; f = x + 6; c = w + 9; g = c + 7; j = o + 8; q = s + 5; i = g + 8; n = i + 16. If w = 17, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 5 to a, which gives a = s + 15.\n2. Substitute s = u + 10 to a, which gives a = u + 25.\n3. Substitute u = f + 5 to a, which gives a = f + 30.\n4. Substitute f = x + 6 to a, which gives a = x + 36.\n5. Substitute x = w + 19 to a, which gives a = w + 55.\n6. Substitute w = 17 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 4039,
"question": "Consider a system of variables where each variable is defined as follows: s = u + 10; x = w + 19; o = n + 14; u = f + 5; a = q + 10; w = 17; f = x + 6; c = w + 9; g = c + 7; j = o + 8; q = s + 5; i = g + 8; n = i + 16. If w = 17, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 14", "p": "g + 15", "q": "p + 12", "w": "q + 15", "c": "w + 6", "k": "c + 7", "h": "s + 19", "u": "h + 14", "d": "u + 12", "i": "d + 19", "n": "i + 6", "o": "n + 13", "s": 4}, "premises": {"s": 4}, "target": "k"}, "answer": {"steps": [["c", "w + 6", "w + 13"], ["w", "q + 15", "q + 28"], ["q", "p + 12", "p + 40"], ["p", "g + 15", "g + 55"], ["g", "s + 14", "s + 69"], ["s", 4, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"s": 4}, "is_reverse": true}}
| 4,040
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 19; g = s + 14; o = n + 13; p = g + 15; w = q + 15; k = c + 7; n = i + 6; c = w + 6; s = 4; d = u + 12; h = s + 19; u = h + 14; q = p + 12. If s = 4, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 6 to k, which gives k = w + 13.\n2. Substitute w = q + 15 to k, which gives k = q + 28.\n3. Substitute q = p + 12 to k, which gives k = p + 40.\n4. Substitute p = g + 15 to k, which gives k = g + 55.\n5. Substitute g = s + 14 to k, which gives k = s + 69.\n6. Substitute s = 4 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 4040,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 19; g = s + 14; o = n + 13; p = g + 15; w = q + 15; k = c + 7; n = i + 6; c = w + 6; s = 4; d = u + 12; h = s + 19; u = h + 14; q = p + 12. If s = 4, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 16", "j": "t + 6", "o": "j + 6", "s": "o + 10", "m": "s + 6", "e": "m + 9", "f": "z + 2", "u": "f + 10", "h": "u + 20", "i": "h + 1", "k": "i + 5", "v": "k + 11", "z": 5}, "premises": {"z": 5}, "target": "e"}, "answer": {"steps": [["m", "s + 6", "s + 15"], ["s", "o + 10", "o + 25"], ["o", "j + 6", "j + 31"], ["j", "t + 6", "t + 37"], ["t", "z + 16", "z + 53"], ["z", 5, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"z": 5}, "is_reverse": true}}
| 4,041
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 6; z = 5; v = k + 11; e = m + 9; k = i + 5; m = s + 6; i = h + 1; h = u + 20; j = t + 6; t = z + 16; s = o + 10; f = z + 2; u = f + 10. If z = 5, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 6 to e, which gives e = s + 15.\n2. Substitute s = o + 10 to e, which gives e = o + 25.\n3. Substitute o = j + 6 to e, which gives e = j + 31.\n4. Substitute j = t + 6 to e, which gives e = t + 37.\n5. Substitute t = z + 16 to e, which gives e = z + 53.\n6. Substitute z = 5 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 4041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 6; z = 5; v = k + 11; e = m + 9; k = i + 5; m = s + 6; i = h + 1; h = u + 20; j = t + 6; t = z + 16; s = o + 10; f = z + 2; u = f + 10. If z = 5, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 17", "t": "j + 17", "l": "t + 7", "q": "l + 8", "z": "q + 20", "r": "z + 5", "b": "m + 16", "a": "b + 4", "o": "a + 7", "e": "o + 12", "s": "e + 2", "g": "s + 1", "m": 11}, "premises": {"m": 11}, "target": "r"}, "answer": {"steps": [["z", "q + 20", "q + 25"], ["q", "l + 8", "l + 33"], ["l", "t + 7", "t + 40"], ["t", "j + 17", "j + 57"], ["j", "m + 17", "m + 74"], ["m", 11, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"m": 11}, "is_reverse": true}}
| 4,042
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 4; o = a + 7; r = z + 5; q = l + 8; j = m + 17; b = m + 16; s = e + 2; z = q + 20; l = t + 7; e = o + 12; m = 11; t = j + 17; g = s + 1. If m = 11, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 20 to r, which gives r = q + 25.\n2. Substitute q = l + 8 to r, which gives r = l + 33.\n3. Substitute l = t + 7 to r, which gives r = t + 40.\n4. Substitute t = j + 17 to r, which gives r = j + 57.\n5. Substitute j = m + 17 to r, which gives r = m + 74.\n6. Substitute m = 11 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 4042,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 4; o = a + 7; r = z + 5; q = l + 8; j = m + 17; b = m + 16; s = e + 2; z = q + 20; l = t + 7; e = o + 12; m = 11; t = j + 17; g = s + 1. If m = 11, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 16", "f": "z + 18", "l": "f + 12", "i": "l + 3", "p": "i + 4", "x": "p + 4", "g": "m + 18", "t": "g + 15", "h": "t + 14", "n": "h + 13", "a": "n + 17", "w": "a + 20", "m": 6}, "premises": {"m": 6}, "target": "x"}, "answer": {"steps": [["p", "i + 4", "i + 8"], ["i", "l + 3", "l + 11"], ["l", "f + 12", "f + 23"], ["f", "z + 18", "z + 41"], ["z", "m + 16", "m + 57"], ["m", 6, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"m": 6}, "is_reverse": true}}
| 4,043
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = n + 17; p = i + 4; h = t + 14; l = f + 12; x = p + 4; z = m + 16; m = 6; w = a + 20; t = g + 15; f = z + 18; g = m + 18; i = l + 3; n = h + 13. If m = 6, 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 p = i + 4 to x, which gives x = i + 8.\n2. Substitute i = l + 3 to x, which gives x = l + 11.\n3. Substitute l = f + 12 to x, which gives x = f + 23.\n4. Substitute f = z + 18 to x, which gives x = z + 41.\n5. Substitute z = m + 16 to x, which gives x = m + 57.\n6. Substitute m = 6 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 4043,
"question": "Consider a system of variables where each variable is defined as follows: a = n + 17; p = i + 4; h = t + 14; l = f + 12; x = p + 4; z = m + 16; m = 6; w = a + 20; t = g + 15; f = z + 18; g = m + 18; i = l + 3; n = h + 13. If m = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 19", "f": "z + 18", "x": "f + 19", "v": "x + 1", "g": "v + 20", "l": "g + 13", "h": "s + 3", "a": "h + 11", "i": "a + 14", "c": "i + 18", "w": "c + 11", "m": "w + 10", "s": 3}, "premises": {"s": 3}, "target": "l"}, "answer": {"steps": [["g", "v + 20", "v + 33"], ["v", "x + 1", "x + 34"], ["x", "f + 19", "f + 53"], ["f", "z + 18", "z + 71"], ["z", "s + 19", "s + 90"], ["s", 3, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"s": 3}, "is_reverse": true}}
| 4,044
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = 3; i = a + 14; h = s + 3; x = f + 19; g = v + 20; z = s + 19; v = x + 1; a = h + 11; f = z + 18; l = g + 13; c = i + 18; m = w + 10; w = c + 11. If s = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 20 to l, which gives l = v + 33.\n2. Substitute v = x + 1 to l, which gives l = x + 34.\n3. Substitute x = f + 19 to l, which gives l = f + 53.\n4. Substitute f = z + 18 to l, which gives l = z + 71.\n5. Substitute z = s + 19 to l, which gives l = s + 90.\n6. Substitute s = 3 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 4044,
"question": "Consider a system of variables where each variable is defined as follows: s = 3; i = a + 14; h = s + 3; x = f + 19; g = v + 20; z = s + 19; v = x + 1; a = h + 11; f = z + 18; l = g + 13; c = i + 18; m = w + 10; w = c + 11. If s = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 2", "x": "j + 17", "v": "x + 10", "r": "v + 8", "s": "r + 15", "k": "s + 20", "z": "n + 11", "f": "z + 7", "y": "f + 11", "a": "y + 6", "w": "a + 19", "l": "w + 19", "n": 19}, "premises": {"n": 19}, "target": "k"}, "answer": {"steps": [["s", "r + 15", "r + 35"], ["r", "v + 8", "v + 43"], ["v", "x + 10", "x + 53"], ["x", "j + 17", "j + 70"], ["j", "n + 2", "n + 72"], ["n", 19, "91"]], "target_var_name": "k", "target_value": 91, "value_dict": {"n": 19}, "is_reverse": true}}
| 4,045
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 20; a = y + 6; s = r + 15; v = x + 10; y = f + 11; n = 19; j = n + 2; z = n + 11; x = j + 17; w = a + 19; f = z + 7; l = w + 19; r = v + 8. Given that n = 19, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 15 to k, which gives k = r + 35.\n2. Substitute r = v + 8 to k, which gives k = v + 43.\n3. Substitute v = x + 10 to k, which gives k = x + 53.\n4. Substitute x = j + 17 to k, which gives k = j + 70.\n5. Substitute j = n + 2 to k, which gives k = n + 72.\n6. Substitute n = 19 to k, which gives k = 91.\n\nThus, the final answer is k = \\boxed{91}.",
"index": 4045,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 20; a = y + 6; s = r + 15; v = x + 10; y = f + 11; n = 19; j = n + 2; z = n + 11; x = j + 17; w = a + 19; f = z + 7; l = w + 19; r = v + 8. Given that n = 19, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 5", "z": "x + 4", "w": "z + 19", "r": "w + 13", "h": "r + 5", "t": "h + 18", "c": "y + 8", "l": "c + 4", "m": "l + 20", "n": "m + 2", "b": "n + 13", "g": "b + 5", "y": 1}, "premises": {"y": 1}, "target": "t"}, "answer": {"steps": [["h", "r + 5", "r + 23"], ["r", "w + 13", "w + 36"], ["w", "z + 19", "z + 55"], ["z", "x + 4", "x + 59"], ["x", "y + 5", "y + 64"], ["y", 1, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"y": 1}, "is_reverse": true}}
| 4,046
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 5; g = b + 5; t = h + 18; l = c + 4; m = l + 20; y = 1; c = y + 8; b = n + 13; z = x + 4; h = r + 5; n = m + 2; r = w + 13; w = z + 19. Given that y = 1, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 5 to t, which gives t = r + 23.\n2. Substitute r = w + 13 to t, which gives t = w + 36.\n3. Substitute w = z + 19 to t, which gives t = z + 55.\n4. Substitute z = x + 4 to t, which gives t = x + 59.\n5. Substitute x = y + 5 to t, which gives t = y + 64.\n6. Substitute y = 1 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 4046,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 5; g = b + 5; t = h + 18; l = c + 4; m = l + 20; y = 1; c = y + 8; b = n + 13; z = x + 4; h = r + 5; n = m + 2; r = w + 13; w = z + 19. Given that y = 1, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 13", "m": "j + 15", "y": "m + 20", "l": "y + 14", "v": "l + 6", "z": "v + 7", "q": "h + 7", "u": "q + 20", "i": "u + 13", "x": "i + 8", "t": "x + 3", "d": "t + 8", "h": 6}, "premises": {"h": 6}, "target": "z"}, "answer": {"steps": [["v", "l + 6", "l + 13"], ["l", "y + 14", "y + 27"], ["y", "m + 20", "m + 47"], ["m", "j + 15", "j + 62"], ["j", "h + 13", "h + 75"], ["h", 6, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"h": 6}, "is_reverse": true}}
| 4,047
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 6; m = j + 15; j = h + 13; x = i + 8; l = y + 14; h = 6; q = h + 7; z = v + 7; y = m + 20; t = x + 3; u = q + 20; d = t + 8; i = u + 13. If h = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 6 to z, which gives z = l + 13.\n2. Substitute l = y + 14 to z, which gives z = y + 27.\n3. Substitute y = m + 20 to z, which gives z = m + 47.\n4. Substitute m = j + 15 to z, which gives z = j + 62.\n5. Substitute j = h + 13 to z, which gives z = h + 75.\n6. Substitute h = 6 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 4047,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 6; m = j + 15; j = h + 13; x = i + 8; l = y + 14; h = 6; q = h + 7; z = v + 7; y = m + 20; t = x + 3; u = q + 20; d = t + 8; i = u + 13. If h = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 9", "q": "e + 14", "b": "q + 5", "s": "b + 19", "i": "s + 15", "n": "i + 11", "r": "h + 2", "a": "r + 3", "u": "a + 12", "c": "u + 20", "j": "c + 10", "o": "j + 13", "h": 3}, "premises": {"h": 3}, "target": "n"}, "answer": {"steps": [["i", "s + 15", "s + 26"], ["s", "b + 19", "b + 45"], ["b", "q + 5", "q + 50"], ["q", "e + 14", "e + 64"], ["e", "h + 9", "h + 73"], ["h", 3, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"h": 3}, "is_reverse": true}}
| 4,048
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 13; a = r + 3; c = u + 20; s = b + 19; b = q + 5; u = a + 12; j = c + 10; n = i + 11; q = e + 14; i = s + 15; h = 3; r = h + 2; e = h + 9. If h = 3, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 15 to n, which gives n = s + 26.\n2. Substitute s = b + 19 to n, which gives n = b + 45.\n3. Substitute b = q + 5 to n, which gives n = q + 50.\n4. Substitute q = e + 14 to n, which gives n = e + 64.\n5. Substitute e = h + 9 to n, which gives n = h + 73.\n6. Substitute h = 3 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 4048,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 13; a = r + 3; c = u + 20; s = b + 19; b = q + 5; u = a + 12; j = c + 10; n = i + 11; q = e + 14; i = s + 15; h = 3; r = h + 2; e = h + 9. If h = 3, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 11", "w": "b + 7", "y": "w + 8", "d": "y + 16", "h": "d + 12", "f": "h + 5", "j": "v + 10", "g": "j + 14", "s": "g + 17", "i": "s + 17", "c": "i + 2", "e": "c + 11", "v": 5}, "premises": {"v": 5}, "target": "f"}, "answer": {"steps": [["h", "d + 12", "d + 17"], ["d", "y + 16", "y + 33"], ["y", "w + 8", "w + 41"], ["w", "b + 7", "b + 48"], ["b", "v + 11", "v + 59"], ["v", 5, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"v": 5}, "is_reverse": true}}
| 4,049
| 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 = s + 17; f = h + 5; y = w + 8; j = v + 10; d = y + 16; e = c + 11; c = i + 2; v = 5; g = j + 14; h = d + 12; s = g + 17; b = v + 11; w = b + 7. If v = 5, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 12 to f, which gives f = d + 17.\n2. Substitute d = y + 16 to f, which gives f = y + 33.\n3. Substitute y = w + 8 to f, which gives f = w + 41.\n4. Substitute w = b + 7 to f, which gives f = b + 48.\n5. Substitute b = v + 11 to f, which gives f = v + 59.\n6. Substitute v = 5 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 4049,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 17; f = h + 5; y = w + 8; j = v + 10; d = y + 16; e = c + 11; c = i + 2; v = 5; g = j + 14; h = d + 12; s = g + 17; b = v + 11; w = b + 7. If v = 5, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 11", "e": "h + 16", "s": "e + 9", "p": "s + 15", "a": "p + 1", "z": "a + 2", "f": "k + 7", "c": "f + 12", "l": "c + 18", "n": "l + 6", "r": "n + 19", "u": "r + 6", "k": 14}, "premises": {"k": 14}, "target": "z"}, "answer": {"steps": [["a", "p + 1", "p + 3"], ["p", "s + 15", "s + 18"], ["s", "e + 9", "e + 27"], ["e", "h + 16", "h + 43"], ["h", "k + 11", "k + 54"], ["k", 14, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"k": 14}, "is_reverse": true}}
| 4,050
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 6; s = e + 9; z = a + 2; a = p + 1; h = k + 11; k = 14; r = n + 19; f = k + 7; p = s + 15; l = c + 18; e = h + 16; c = f + 12; u = r + 6. If k = 14, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 1 to z, which gives z = p + 3.\n2. Substitute p = s + 15 to z, which gives z = s + 18.\n3. Substitute s = e + 9 to z, which gives z = e + 27.\n4. Substitute e = h + 16 to z, which gives z = h + 43.\n5. Substitute h = k + 11 to z, which gives z = k + 54.\n6. Substitute k = 14 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 4050,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 6; s = e + 9; z = a + 2; a = p + 1; h = k + 11; k = 14; r = n + 19; f = k + 7; p = s + 15; l = c + 18; e = h + 16; c = f + 12; u = r + 6. If k = 14, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 3", "o": "i + 19", "n": "o + 17", "k": "n + 5", "c": "k + 16", "d": "c + 5", "m": "w + 18", "u": "m + 1", "t": "u + 5", "b": "t + 7", "l": "b + 17", "r": "l + 8", "w": 12}, "premises": {"w": 12}, "target": "d"}, "answer": {"steps": [["c", "k + 16", "k + 21"], ["k", "n + 5", "n + 26"], ["n", "o + 17", "o + 43"], ["o", "i + 19", "i + 62"], ["i", "w + 3", "w + 65"], ["w", 12, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"w": 12}, "is_reverse": true}}
| 4,051
| 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 = o + 17; u = m + 1; o = i + 19; w = 12; t = u + 5; c = k + 16; l = b + 17; r = l + 8; i = w + 3; k = n + 5; m = w + 18; b = t + 7; d = c + 5. If w = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 16 to d, which gives d = k + 21.\n2. Substitute k = n + 5 to d, which gives d = n + 26.\n3. Substitute n = o + 17 to d, which gives d = o + 43.\n4. Substitute o = i + 19 to d, which gives d = i + 62.\n5. Substitute i = w + 3 to d, which gives d = w + 65.\n6. Substitute w = 12 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 4051,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 17; u = m + 1; o = i + 19; w = 12; t = u + 5; c = k + 16; l = b + 17; r = l + 8; i = w + 3; k = n + 5; m = w + 18; b = t + 7; d = c + 5. If w = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 14", "m": "y + 5", "p": "m + 14", "i": "p + 13", "w": "i + 11", "n": "w + 11", "d": "e + 16", "o": "d + 5", "a": "o + 20", "f": "a + 3", "b": "f + 13", "g": "b + 17", "e": 20}, "premises": {"e": 20}, "target": "n"}, "answer": {"steps": [["w", "i + 11", "i + 22"], ["i", "p + 13", "p + 35"], ["p", "m + 14", "m + 49"], ["m", "y + 5", "y + 54"], ["y", "e + 14", "e + 68"], ["e", 20, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"e": 20}, "is_reverse": true}}
| 4,052
| 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 = i + 11; b = f + 13; f = a + 3; a = o + 20; y = e + 14; d = e + 16; p = m + 14; e = 20; m = y + 5; n = w + 11; g = b + 17; o = d + 5; i = p + 13. If e = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 11 to n, which gives n = i + 22.\n2. Substitute i = p + 13 to n, which gives n = p + 35.\n3. Substitute p = m + 14 to n, which gives n = m + 49.\n4. Substitute m = y + 5 to n, which gives n = y + 54.\n5. Substitute y = e + 14 to n, which gives n = e + 68.\n6. Substitute e = 20 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 4052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 11; b = f + 13; f = a + 3; a = o + 20; y = e + 14; d = e + 16; p = m + 14; e = 20; m = y + 5; n = w + 11; g = b + 17; o = d + 5; i = p + 13. If e = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 18", "h": "c + 19", "j": "h + 13", "p": "j + 20", "n": "p + 11", "d": "n + 7", "e": "r + 12", "u": "e + 7", "q": "u + 9", "x": "q + 11", "f": "x + 16", "w": "f + 17", "r": 8}, "premises": {"r": 8}, "target": "d"}, "answer": {"steps": [["n", "p + 11", "p + 18"], ["p", "j + 20", "j + 38"], ["j", "h + 13", "h + 51"], ["h", "c + 19", "c + 70"], ["c", "r + 18", "r + 88"], ["r", 8, "96"]], "target_var_name": "d", "target_value": 96, "value_dict": {"r": 8}, "is_reverse": true}}
| 4,053
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 20; h = c + 19; n = p + 11; d = n + 7; j = h + 13; e = r + 12; x = q + 11; w = f + 17; f = x + 16; c = r + 18; q = u + 9; r = 8; u = e + 7. If r = 8, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 11 to d, which gives d = p + 18.\n2. Substitute p = j + 20 to d, which gives d = j + 38.\n3. Substitute j = h + 13 to d, which gives d = h + 51.\n4. Substitute h = c + 19 to d, which gives d = c + 70.\n5. Substitute c = r + 18 to d, which gives d = r + 88.\n6. Substitute r = 8 to d, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 4053,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 20; h = c + 19; n = p + 11; d = n + 7; j = h + 13; e = r + 12; x = q + 11; w = f + 17; f = x + 16; c = r + 18; q = u + 9; r = 8; u = e + 7. If r = 8, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 8", "i": "h + 1", "d": "i + 2", "x": "d + 4", "b": "x + 10", "n": "b + 7", "r": "o + 5", "f": "r + 11", "u": "f + 11", "m": "u + 15", "e": "m + 17", "v": "e + 13", "o": 1}, "premises": {"o": 1}, "target": "n"}, "answer": {"steps": [["b", "x + 10", "x + 17"], ["x", "d + 4", "d + 21"], ["d", "i + 2", "i + 23"], ["i", "h + 1", "h + 24"], ["h", "o + 8", "o + 32"], ["o", 1, "33"]], "target_var_name": "n", "target_value": 33, "value_dict": {"o": 1}, "is_reverse": true}}
| 4,054
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 1; i = h + 1; u = f + 11; r = o + 5; n = b + 7; h = o + 8; b = x + 10; x = d + 4; e = m + 17; v = e + 13; f = r + 11; d = i + 2; m = u + 15. Given that o = 1, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 10 to n, which gives n = x + 17.\n2. Substitute x = d + 4 to n, which gives n = d + 21.\n3. Substitute d = i + 2 to n, which gives n = i + 23.\n4. Substitute i = h + 1 to n, which gives n = h + 24.\n5. Substitute h = o + 8 to n, which gives n = o + 32.\n6. Substitute o = 1 to n, which gives n = 33.\n\nThus, the final answer is n = \\boxed{33}.",
"index": 4054,
"question": "Suppose a collection of variables is related by the following definitions: o = 1; i = h + 1; u = f + 11; r = o + 5; n = b + 7; h = o + 8; b = x + 10; x = d + 4; e = m + 17; v = e + 13; f = r + 11; d = i + 2; m = u + 15. Given that o = 1, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "g + 4", "b": "c + 12", "v": "b + 13", "n": "v + 9", "q": "n + 13", "l": "q + 4", "t": "g + 8", "s": "t + 3", "w": "s + 20", "i": "w + 16", "d": "i + 16", "j": "d + 20", "g": 12}, "premises": {"g": 12}, "target": "l"}, "answer": {"steps": [["q", "n + 13", "n + 17"], ["n", "v + 9", "v + 26"], ["v", "b + 13", "b + 39"], ["b", "c + 12", "c + 51"], ["c", "g + 4", "g + 55"], ["g", 12, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"g": 12}, "is_reverse": true}}
| 4,055
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 16; g = 12; b = c + 12; s = t + 3; j = d + 20; i = w + 16; l = q + 4; n = v + 9; c = g + 4; v = b + 13; q = n + 13; w = s + 20; t = g + 8. If g = 12, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 13 to l, which gives l = n + 17.\n2. Substitute n = v + 9 to l, which gives l = v + 26.\n3. Substitute v = b + 13 to l, which gives l = b + 39.\n4. Substitute b = c + 12 to l, which gives l = c + 51.\n5. Substitute c = g + 4 to l, which gives l = g + 55.\n6. Substitute g = 12 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 4055,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 16; g = 12; b = c + 12; s = t + 3; j = d + 20; i = w + 16; l = q + 4; n = v + 9; c = g + 4; v = b + 13; q = n + 13; w = s + 20; t = g + 8. If g = 12, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 20", "f": "w + 15", "o": "f + 16", "u": "o + 19", "l": "u + 17", "e": "l + 7", "v": "c + 16", "r": "v + 7", "g": "r + 8", "s": "g + 16", "q": "s + 6", "m": "q + 11", "c": 9}, "premises": {"c": 9}, "target": "e"}, "answer": {"steps": [["l", "u + 17", "u + 24"], ["u", "o + 19", "o + 43"], ["o", "f + 16", "f + 59"], ["f", "w + 15", "w + 74"], ["w", "c + 20", "c + 94"], ["c", 9, "103"]], "target_var_name": "e", "target_value": 103, "value_dict": {"c": 9}, "is_reverse": true}}
| 4,056
| 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 = r + 8; w = c + 20; e = l + 7; q = s + 6; l = u + 17; s = g + 16; o = f + 16; m = q + 11; c = 9; u = o + 19; r = v + 7; f = w + 15; v = c + 16. If c = 9, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 17 to e, which gives e = u + 24.\n2. Substitute u = o + 19 to e, which gives e = o + 43.\n3. Substitute o = f + 16 to e, which gives e = f + 59.\n4. Substitute f = w + 15 to e, which gives e = w + 74.\n5. Substitute w = c + 20 to e, which gives e = c + 94.\n6. Substitute c = 9 to e, which gives e = 103.\n\nThus, the final answer is e = \\boxed{103}.",
"index": 4056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = r + 8; w = c + 20; e = l + 7; q = s + 6; l = u + 17; s = g + 16; o = f + 16; m = q + 11; c = 9; u = o + 19; r = v + 7; f = w + 15; v = c + 16. If c = 9, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 10", "f": "o + 19", "x": "f + 18", "e": "x + 11", "k": "e + 18", "u": "k + 4", "i": "b + 10", "t": "i + 15", "z": "t + 20", "y": "z + 14", "l": "y + 18", "s": "l + 17", "b": 7}, "premises": {"b": 7}, "target": "u"}, "answer": {"steps": [["k", "e + 18", "e + 22"], ["e", "x + 11", "x + 33"], ["x", "f + 18", "f + 51"], ["f", "o + 19", "o + 70"], ["o", "b + 10", "b + 80"], ["b", 7, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"b": 7}, "is_reverse": true}}
| 4,057
| 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 = i + 15; e = x + 11; x = f + 18; o = b + 10; y = z + 14; f = o + 19; i = b + 10; z = t + 20; b = 7; u = k + 4; k = e + 18; l = y + 18; s = l + 17. If b = 7, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 18 to u, which gives u = e + 22.\n2. Substitute e = x + 11 to u, which gives u = x + 33.\n3. Substitute x = f + 18 to u, which gives u = f + 51.\n4. Substitute f = o + 19 to u, which gives u = o + 70.\n5. Substitute o = b + 10 to u, which gives u = b + 80.\n6. Substitute b = 7 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 4057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 15; e = x + 11; x = f + 18; o = b + 10; y = z + 14; f = o + 19; i = b + 10; z = t + 20; b = 7; u = k + 4; k = e + 18; l = y + 18; s = l + 17. If b = 7, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 11", "t": "v + 10", "e": "t + 10", "i": "e + 18", "x": "i + 3", "r": "x + 1", "l": "b + 13", "d": "l + 4", "p": "d + 4", "s": "p + 12", "j": "s + 7", "h": "j + 7", "b": 14}, "premises": {"b": 14}, "target": "r"}, "answer": {"steps": [["x", "i + 3", "i + 4"], ["i", "e + 18", "e + 22"], ["e", "t + 10", "t + 32"], ["t", "v + 10", "v + 42"], ["v", "b + 11", "b + 53"], ["b", 14, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"b": 14}, "is_reverse": true}}
| 4,058
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 3; v = b + 11; s = p + 12; b = 14; i = e + 18; e = t + 10; l = b + 13; r = x + 1; t = v + 10; j = s + 7; h = j + 7; p = d + 4; d = l + 4. If b = 14, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 3 to r, which gives r = i + 4.\n2. Substitute i = e + 18 to r, which gives r = e + 22.\n3. Substitute e = t + 10 to r, which gives r = t + 32.\n4. Substitute t = v + 10 to r, which gives r = v + 42.\n5. Substitute v = b + 11 to r, which gives r = b + 53.\n6. Substitute b = 14 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 4058,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 3; v = b + 11; s = p + 12; b = 14; i = e + 18; e = t + 10; l = b + 13; r = x + 1; t = v + 10; j = s + 7; h = j + 7; p = d + 4; d = l + 4. If b = 14, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 10", "t": "n + 5", "q": "t + 17", "r": "q + 17", "m": "r + 8", "u": "m + 1", "c": "p + 8", "i": "c + 9", "d": "i + 12", "w": "d + 20", "s": "w + 18", "g": "s + 4", "p": 19}, "premises": {"p": 19}, "target": "u"}, "answer": {"steps": [["m", "r + 8", "r + 9"], ["r", "q + 17", "q + 26"], ["q", "t + 17", "t + 43"], ["t", "n + 5", "n + 48"], ["n", "p + 10", "p + 58"], ["p", 19, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"p": 19}, "is_reverse": true}}
| 4,059
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 8; g = s + 4; q = t + 17; c = p + 8; p = 19; d = i + 12; r = q + 17; w = d + 20; i = c + 9; t = n + 5; u = m + 1; s = w + 18; n = p + 10. Given that p = 19, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 8 to u, which gives u = r + 9.\n2. Substitute r = q + 17 to u, which gives u = q + 26.\n3. Substitute q = t + 17 to u, which gives u = t + 43.\n4. Substitute t = n + 5 to u, which gives u = n + 48.\n5. Substitute n = p + 10 to u, which gives u = p + 58.\n6. Substitute p = 19 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 4059,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 8; g = s + 4; q = t + 17; c = p + 8; p = 19; d = i + 12; r = q + 17; w = d + 20; i = c + 9; t = n + 5; u = m + 1; s = w + 18; n = p + 10. Given that p = 19, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 10", "o": "g + 10", "u": "o + 8", "h": "u + 19", "t": "h + 19", "b": "t + 19", "y": "r + 16", "c": "y + 18", "m": "c + 7", "e": "m + 11", "j": "e + 16", "s": "j + 12", "r": 12}, "premises": {"r": 12}, "target": "b"}, "answer": {"steps": [["t", "h + 19", "h + 38"], ["h", "u + 19", "u + 57"], ["u", "o + 8", "o + 65"], ["o", "g + 10", "g + 75"], ["g", "r + 10", "r + 85"], ["r", 12, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"r": 12}, "is_reverse": true}}
| 4,060
| 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 = t + 19; h = u + 19; s = j + 12; e = m + 11; m = c + 7; g = r + 10; u = o + 8; j = e + 16; t = h + 19; o = g + 10; c = y + 18; r = 12; y = r + 16. If r = 12, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 19 to b, which gives b = h + 38.\n2. Substitute h = u + 19 to b, which gives b = u + 57.\n3. Substitute u = o + 8 to b, which gives b = o + 65.\n4. Substitute o = g + 10 to b, which gives b = g + 75.\n5. Substitute g = r + 10 to b, which gives b = r + 85.\n6. Substitute r = 12 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 4060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 19; h = u + 19; s = j + 12; e = m + 11; m = c + 7; g = r + 10; u = o + 8; j = e + 16; t = h + 19; o = g + 10; c = y + 18; r = 12; y = r + 16. If r = 12, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 19", "b": "x + 4", "n": "b + 6", "d": "n + 11", "o": "d + 9", "p": "o + 1", "q": "h + 20", "k": "q + 4", "g": "k + 6", "u": "g + 11", "t": "u + 3", "v": "t + 14", "h": 19}, "premises": {"h": 19}, "target": "p"}, "answer": {"steps": [["o", "d + 9", "d + 10"], ["d", "n + 11", "n + 21"], ["n", "b + 6", "b + 27"], ["b", "x + 4", "x + 31"], ["x", "h + 19", "h + 50"], ["h", 19, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"h": 19}, "is_reverse": true}}
| 4,061
| 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 = h + 20; k = q + 4; v = t + 14; g = k + 6; x = h + 19; u = g + 11; t = u + 3; b = x + 4; h = 19; o = d + 9; n = b + 6; d = n + 11; p = o + 1. If h = 19, what is the resulting 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 o = d + 9 to p, which gives p = d + 10.\n2. Substitute d = n + 11 to p, which gives p = n + 21.\n3. Substitute n = b + 6 to p, which gives p = b + 27.\n4. Substitute b = x + 4 to p, which gives p = x + 31.\n5. Substitute x = h + 19 to p, which gives p = h + 50.\n6. Substitute h = 19 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 4061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 20; k = q + 4; v = t + 14; g = k + 6; x = h + 19; u = g + 11; t = u + 3; b = x + 4; h = 19; o = d + 9; n = b + 6; d = n + 11; p = o + 1. If h = 19, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 6", "h": "y + 16", "d": "h + 1", "c": "d + 18", "q": "c + 8", "f": "q + 4", "p": "o + 18", "k": "p + 9", "v": "k + 3", "s": "v + 6", "t": "s + 19", "r": "t + 9", "o": 9}, "premises": {"o": 9}, "target": "f"}, "answer": {"steps": [["q", "c + 8", "c + 12"], ["c", "d + 18", "d + 30"], ["d", "h + 1", "h + 31"], ["h", "y + 16", "y + 47"], ["y", "o + 6", "o + 53"], ["o", 9, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"o": 9}, "is_reverse": true}}
| 4,062
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 6; f = q + 4; k = p + 9; t = s + 19; v = k + 3; d = h + 1; o = 9; r = t + 9; q = c + 8; h = y + 16; c = d + 18; p = o + 18; y = o + 6. If o = 9, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 8 to f, which gives f = c + 12.\n2. Substitute c = d + 18 to f, which gives f = d + 30.\n3. Substitute d = h + 1 to f, which gives f = h + 31.\n4. Substitute h = y + 16 to f, which gives f = y + 47.\n5. Substitute y = o + 6 to f, which gives f = o + 53.\n6. Substitute o = 9 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 4062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 6; f = q + 4; k = p + 9; t = s + 19; v = k + 3; d = h + 1; o = 9; r = t + 9; q = c + 8; h = y + 16; c = d + 18; p = o + 18; y = o + 6. If o = 9, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 18", "o": "m + 19", "q": "o + 20", "x": "q + 15", "n": "x + 4", "g": "n + 19", "b": "z + 19", "p": "b + 19", "l": "p + 18", "j": "l + 7", "f": "j + 7", "k": "f + 13", "z": 7}, "premises": {"z": 7}, "target": "g"}, "answer": {"steps": [["n", "x + 4", "x + 23"], ["x", "q + 15", "q + 38"], ["q", "o + 20", "o + 58"], ["o", "m + 19", "m + 77"], ["m", "z + 18", "z + 95"], ["z", 7, "102"]], "target_var_name": "g", "target_value": 102, "value_dict": {"z": 7}, "is_reverse": true}}
| 4,063
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 4; l = p + 18; g = n + 19; q = o + 20; j = l + 7; p = b + 19; z = 7; f = j + 7; x = q + 15; m = z + 18; b = z + 19; o = m + 19; k = f + 13. If z = 7, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 4 to g, which gives g = x + 23.\n2. Substitute x = q + 15 to g, which gives g = q + 38.\n3. Substitute q = o + 20 to g, which gives g = o + 58.\n4. Substitute o = m + 19 to g, which gives g = m + 77.\n5. Substitute m = z + 18 to g, which gives g = z + 95.\n6. Substitute z = 7 to g, which gives g = 102.\n\nThus, the final answer is g = \\boxed{102}.",
"index": 4063,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 4; l = p + 18; g = n + 19; q = o + 20; j = l + 7; p = b + 19; z = 7; f = j + 7; x = q + 15; m = z + 18; b = z + 19; o = m + 19; k = f + 13. If z = 7, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 12", "k": "d + 3", "z": "k + 16", "v": "z + 8", "i": "v + 20", "g": "i + 3", "p": "r + 16", "x": "p + 5", "u": "x + 18", "o": "u + 18", "q": "o + 8", "t": "q + 16", "r": 6}, "premises": {"r": 6}, "target": "g"}, "answer": {"steps": [["i", "v + 20", "v + 23"], ["v", "z + 8", "z + 31"], ["z", "k + 16", "k + 47"], ["k", "d + 3", "d + 50"], ["d", "r + 12", "r + 62"], ["r", 6, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"r": 6}, "is_reverse": true}}
| 4,064
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 18; u = x + 18; k = d + 3; t = q + 16; z = k + 16; r = 6; x = p + 5; i = v + 20; d = r + 12; p = r + 16; q = o + 8; v = z + 8; g = i + 3. If r = 6, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 20 to g, which gives g = v + 23.\n2. Substitute v = z + 8 to g, which gives g = z + 31.\n3. Substitute z = k + 16 to g, which gives g = k + 47.\n4. Substitute k = d + 3 to g, which gives g = d + 50.\n5. Substitute d = r + 12 to g, which gives g = r + 62.\n6. Substitute r = 6 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 4064,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 18; u = x + 18; k = d + 3; t = q + 16; z = k + 16; r = 6; x = p + 5; i = v + 20; d = r + 12; p = r + 16; q = o + 8; v = z + 8; g = i + 3. If r = 6, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"r": "w + 14", "g": "r + 10", "n": "g + 7", "c": "n + 12", "e": "c + 8", "o": "e + 14", "f": "w + 9", "m": "f + 13", "b": "m + 11", "i": "b + 20", "k": "i + 4", "z": "k + 1", "w": 5}, "premises": {"w": 5}, "target": "o"}, "answer": {"steps": [["e", "c + 8", "c + 22"], ["c", "n + 12", "n + 34"], ["n", "g + 7", "g + 41"], ["g", "r + 10", "r + 51"], ["r", "w + 14", "w + 65"], ["w", 5, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"w": 5}, "is_reverse": true}}
| 4,065
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 12; i = b + 20; w = 5; g = r + 10; n = g + 7; k = i + 4; m = f + 13; f = w + 9; b = m + 11; o = e + 14; z = k + 1; e = c + 8; r = w + 14. Given that w = 5, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 8 to o, which gives o = c + 22.\n2. Substitute c = n + 12 to o, which gives o = n + 34.\n3. Substitute n = g + 7 to o, which gives o = g + 41.\n4. Substitute g = r + 10 to o, which gives o = r + 51.\n5. Substitute r = w + 14 to o, which gives o = w + 65.\n6. Substitute w = 5 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 4065,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 12; i = b + 20; w = 5; g = r + 10; n = g + 7; k = i + 4; m = f + 13; f = w + 9; b = m + 11; o = e + 14; z = k + 1; e = c + 8; r = w + 14. Given that w = 5, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 10", "n": "c + 8", "u": "n + 4", "g": "u + 20", "i": "g + 19", "z": "i + 1", "o": "l + 17", "p": "o + 2", "t": "p + 12", "r": "t + 14", "y": "r + 17", "h": "y + 3", "l": 3}, "premises": {"l": 3}, "target": "z"}, "answer": {"steps": [["i", "g + 19", "g + 20"], ["g", "u + 20", "u + 40"], ["u", "n + 4", "n + 44"], ["n", "c + 8", "c + 52"], ["c", "l + 10", "l + 62"], ["l", 3, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"l": 3}, "is_reverse": true}}
| 4,066
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 20; z = i + 1; y = r + 17; n = c + 8; t = p + 12; o = l + 17; u = n + 4; h = y + 3; i = g + 19; c = l + 10; r = t + 14; p = o + 2; l = 3. If l = 3, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 19 to z, which gives z = g + 20.\n2. Substitute g = u + 20 to z, which gives z = u + 40.\n3. Substitute u = n + 4 to z, which gives z = n + 44.\n4. Substitute n = c + 8 to z, which gives z = c + 52.\n5. Substitute c = l + 10 to z, which gives z = l + 62.\n6. Substitute l = 3 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 4066,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 20; z = i + 1; y = r + 17; n = c + 8; t = p + 12; o = l + 17; u = n + 4; h = y + 3; i = g + 19; c = l + 10; r = t + 14; p = o + 2; l = 3. If l = 3, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 14", "o": "e + 10", "i": "o + 4", "g": "i + 18", "q": "g + 19", "r": "q + 11", "n": "s + 14", "x": "n + 13", "y": "x + 15", "m": "y + 4", "z": "m + 7", "a": "z + 8", "s": 15}, "premises": {"s": 15}, "target": "r"}, "answer": {"steps": [["q", "g + 19", "g + 30"], ["g", "i + 18", "i + 48"], ["i", "o + 4", "o + 52"], ["o", "e + 10", "e + 62"], ["e", "s + 14", "s + 76"], ["s", 15, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"s": 15}, "is_reverse": true}}
| 4,067
| 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 = s + 14; o = e + 10; n = s + 14; q = g + 19; x = n + 13; a = z + 8; i = o + 4; y = x + 15; m = y + 4; r = q + 11; s = 15; z = m + 7; g = i + 18. If s = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 19 to r, which gives r = g + 30.\n2. Substitute g = i + 18 to r, which gives r = i + 48.\n3. Substitute i = o + 4 to r, which gives r = o + 52.\n4. Substitute o = e + 10 to r, which gives r = e + 62.\n5. Substitute e = s + 14 to r, which gives r = s + 76.\n6. Substitute s = 15 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 4067,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 14; o = e + 10; n = s + 14; q = g + 19; x = n + 13; a = z + 8; i = o + 4; y = x + 15; m = y + 4; r = q + 11; s = 15; z = m + 7; g = i + 18. If s = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"h": "s + 14", "l": "h + 5", "r": "l + 17", "g": "r + 13", "j": "g + 18", "z": "j + 18", "b": "s + 1", "p": "b + 13", "w": "p + 7", "d": "w + 6", "a": "d + 4", "i": "a + 11", "s": 7}, "premises": {"s": 7}, "target": "z"}, "answer": {"steps": [["j", "g + 18", "g + 36"], ["g", "r + 13", "r + 49"], ["r", "l + 17", "l + 66"], ["l", "h + 5", "h + 71"], ["h", "s + 14", "s + 85"], ["s", 7, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"s": 7}, "is_reverse": true}}
| 4,068
| 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 = r + 13; w = p + 7; s = 7; j = g + 18; p = b + 13; d = w + 6; a = d + 4; r = l + 17; z = j + 18; h = s + 14; b = s + 1; i = a + 11; l = h + 5. If s = 7, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 18 to z, which gives z = g + 36.\n2. Substitute g = r + 13 to z, which gives z = r + 49.\n3. Substitute r = l + 17 to z, which gives z = l + 66.\n4. Substitute l = h + 5 to z, which gives z = h + 71.\n5. Substitute h = s + 14 to z, which gives z = s + 85.\n6. Substitute s = 7 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 4068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = r + 13; w = p + 7; s = 7; j = g + 18; p = b + 13; d = w + 6; a = d + 4; r = l + 17; z = j + 18; h = s + 14; b = s + 1; i = a + 11; l = h + 5. If s = 7, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 10", "k": "y + 5", "x": "k + 1", "r": "x + 5", "v": "r + 1", "u": "v + 19", "n": "j + 18", "m": "n + 1", "w": "m + 5", "l": "w + 8", "o": "l + 10", "s": "o + 17", "j": 5}, "premises": {"j": 5}, "target": "u"}, "answer": {"steps": [["v", "r + 1", "r + 20"], ["r", "x + 5", "x + 25"], ["x", "k + 1", "k + 26"], ["k", "y + 5", "y + 31"], ["y", "j + 10", "j + 41"], ["j", 5, "46"]], "target_var_name": "u", "target_value": 46, "value_dict": {"j": 5}, "is_reverse": true}}
| 4,069
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = j + 10; n = j + 18; r = x + 5; u = v + 19; s = o + 17; m = n + 1; k = y + 5; w = m + 5; j = 5; o = l + 10; x = k + 1; l = w + 8; v = r + 1. If j = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 1 to u, which gives u = r + 20.\n2. Substitute r = x + 5 to u, which gives u = x + 25.\n3. Substitute x = k + 1 to u, which gives u = k + 26.\n4. Substitute k = y + 5 to u, which gives u = y + 31.\n5. Substitute y = j + 10 to u, which gives u = j + 41.\n6. Substitute j = 5 to u, which gives u = 46.\n\nThus, the final answer is u = \\boxed{46}.",
"index": 4069,
"question": "Consider a system of variables where each variable is defined as follows: y = j + 10; n = j + 18; r = x + 5; u = v + 19; s = o + 17; m = n + 1; k = y + 5; w = m + 5; j = 5; o = l + 10; x = k + 1; l = w + 8; v = r + 1. If j = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 8", "y": "b + 16", "q": "y + 16", "v": "q + 9", "l": "v + 6", "x": "l + 17", "n": "e + 1", "m": "n + 9", "o": "m + 5", "c": "o + 14", "w": "c + 15", "j": "w + 8", "e": 12}, "premises": {"e": 12}, "target": "x"}, "answer": {"steps": [["l", "v + 6", "v + 23"], ["v", "q + 9", "q + 32"], ["q", "y + 16", "y + 48"], ["y", "b + 16", "b + 64"], ["b", "e + 8", "e + 72"], ["e", 12, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"e": 12}, "is_reverse": true}}
| 4,070
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 9; q = y + 16; w = c + 15; c = o + 14; j = w + 8; e = 12; o = m + 5; n = e + 1; x = l + 17; y = b + 16; l = v + 6; m = n + 9; b = e + 8. Given that e = 12, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 6 to x, which gives x = v + 23.\n2. Substitute v = q + 9 to x, which gives x = q + 32.\n3. Substitute q = y + 16 to x, which gives x = y + 48.\n4. Substitute y = b + 16 to x, which gives x = b + 64.\n5. Substitute b = e + 8 to x, which gives x = e + 72.\n6. Substitute e = 12 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 4070,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 9; q = y + 16; w = c + 15; c = o + 14; j = w + 8; e = 12; o = m + 5; n = e + 1; x = l + 17; y = b + 16; l = v + 6; m = n + 9; b = e + 8. Given that e = 12, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 18", "n": "f + 10", "u": "n + 20", "b": "u + 5", "h": "b + 2", "z": "h + 3", "l": "d + 6", "y": "l + 10", "g": "y + 18", "c": "g + 16", "r": "c + 9", "s": "r + 20", "d": 13}, "premises": {"d": 13}, "target": "z"}, "answer": {"steps": [["h", "b + 2", "b + 5"], ["b", "u + 5", "u + 10"], ["u", "n + 20", "n + 30"], ["n", "f + 10", "f + 40"], ["f", "d + 18", "d + 58"], ["d", 13, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"d": 13}, "is_reverse": true}}
| 4,071
| 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 = u + 5; n = f + 10; h = b + 2; y = l + 10; f = d + 18; u = n + 20; g = y + 18; l = d + 6; z = h + 3; c = g + 16; s = r + 20; r = c + 9; d = 13. If d = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 2 to z, which gives z = b + 5.\n2. Substitute b = u + 5 to z, which gives z = u + 10.\n3. Substitute u = n + 20 to z, which gives z = n + 30.\n4. Substitute n = f + 10 to z, which gives z = f + 40.\n5. Substitute f = d + 18 to z, which gives z = d + 58.\n6. Substitute d = 13 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 4071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 5; n = f + 10; h = b + 2; y = l + 10; f = d + 18; u = n + 20; g = y + 18; l = d + 6; z = h + 3; c = g + 16; s = r + 20; r = c + 9; d = 13. If d = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 3", "c": "p + 9", "k": "c + 18", "y": "k + 15", "f": "y + 6", "q": "f + 8", "l": "w + 1", "i": "l + 10", "d": "i + 16", "b": "d + 16", "a": "b + 3", "j": "a + 8", "w": 6}, "premises": {"w": 6}, "target": "q"}, "answer": {"steps": [["f", "y + 6", "y + 14"], ["y", "k + 15", "k + 29"], ["k", "c + 18", "c + 47"], ["c", "p + 9", "p + 56"], ["p", "w + 3", "w + 59"], ["w", 6, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"w": 6}, "is_reverse": true}}
| 4,072
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 3; y = k + 15; f = y + 6; w = 6; a = b + 3; q = f + 8; k = c + 18; d = i + 16; l = w + 1; c = p + 9; j = a + 8; b = d + 16; i = l + 10. If w = 6, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 6 to q, which gives q = y + 14.\n2. Substitute y = k + 15 to q, which gives q = k + 29.\n3. Substitute k = c + 18 to q, which gives q = c + 47.\n4. Substitute c = p + 9 to q, which gives q = p + 56.\n5. Substitute p = w + 3 to q, which gives q = w + 59.\n6. Substitute w = 6 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 4072,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 3; y = k + 15; f = y + 6; w = 6; a = b + 3; q = f + 8; k = c + 18; d = i + 16; l = w + 1; c = p + 9; j = a + 8; b = d + 16; i = l + 10. If w = 6, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 10", "t": "n + 20", "u": "t + 7", "b": "u + 18", "a": "b + 10", "g": "a + 7", "s": "c + 20", "p": "s + 8", "y": "p + 13", "z": "y + 16", "d": "z + 17", "x": "d + 9", "c": 20}, "premises": {"c": 20}, "target": "g"}, "answer": {"steps": [["a", "b + 10", "b + 17"], ["b", "u + 18", "u + 35"], ["u", "t + 7", "t + 42"], ["t", "n + 20", "n + 62"], ["n", "c + 10", "c + 72"], ["c", 20, "92"]], "target_var_name": "g", "target_value": 92, "value_dict": {"c": 20}, "is_reverse": true}}
| 4,073
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 8; g = a + 7; x = d + 9; n = c + 10; a = b + 10; d = z + 17; c = 20; b = u + 18; z = y + 16; t = n + 20; u = t + 7; s = c + 20; y = p + 13. If c = 20, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 10 to g, which gives g = b + 17.\n2. Substitute b = u + 18 to g, which gives g = u + 35.\n3. Substitute u = t + 7 to g, which gives g = t + 42.\n4. Substitute t = n + 20 to g, which gives g = n + 62.\n5. Substitute n = c + 10 to g, which gives g = c + 72.\n6. Substitute c = 20 to g, which gives g = 92.\n\nThus, the final answer is g = \\boxed{92}.",
"index": 4073,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 8; g = a + 7; x = d + 9; n = c + 10; a = b + 10; d = z + 17; c = 20; b = u + 18; z = y + 16; t = n + 20; u = t + 7; s = c + 20; y = p + 13. If c = 20, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 1", "e": "q + 8", "h": "e + 1", "w": "h + 12", "l": "w + 15", "g": "l + 9", "o": "i + 7", "b": "o + 1", "z": "b + 8", "k": "z + 3", "p": "k + 15", "y": "p + 11", "i": 9}, "premises": {"i": 9}, "target": "g"}, "answer": {"steps": [["l", "w + 15", "w + 24"], ["w", "h + 12", "h + 36"], ["h", "e + 1", "e + 37"], ["e", "q + 8", "q + 45"], ["q", "i + 1", "i + 46"], ["i", 9, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"i": 9}, "is_reverse": true}}
| 4,074
| 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 = q + 8; p = k + 15; i = 9; o = i + 7; g = l + 9; k = z + 3; w = h + 12; q = i + 1; y = p + 11; l = w + 15; z = b + 8; h = e + 1; b = o + 1. If i = 9, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 15 to g, which gives g = w + 24.\n2. Substitute w = h + 12 to g, which gives g = h + 36.\n3. Substitute h = e + 1 to g, which gives g = e + 37.\n4. Substitute e = q + 8 to g, which gives g = q + 45.\n5. Substitute q = i + 1 to g, which gives g = i + 46.\n6. Substitute i = 9 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 4074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 8; p = k + 15; i = 9; o = i + 7; g = l + 9; k = z + 3; w = h + 12; q = i + 1; y = p + 11; l = w + 15; z = b + 8; h = e + 1; b = o + 1. If i = 9, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 18", "n": "t + 10", "d": "n + 8", "m": "d + 7", "w": "m + 14", "u": "w + 5", "p": "b + 6", "v": "p + 10", "i": "v + 10", "f": "i + 15", "e": "f + 18", "o": "e + 9", "b": 4}, "premises": {"b": 4}, "target": "u"}, "answer": {"steps": [["w", "m + 14", "m + 19"], ["m", "d + 7", "d + 26"], ["d", "n + 8", "n + 34"], ["n", "t + 10", "t + 44"], ["t", "b + 18", "b + 62"], ["b", 4, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"b": 4}, "is_reverse": true}}
| 4,075
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 14; e = f + 18; m = d + 7; b = 4; t = b + 18; n = t + 10; o = e + 9; v = p + 10; i = v + 10; p = b + 6; u = w + 5; d = n + 8; f = i + 15. If b = 4, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 14 to u, which gives u = m + 19.\n2. Substitute m = d + 7 to u, which gives u = d + 26.\n3. Substitute d = n + 8 to u, which gives u = n + 34.\n4. Substitute n = t + 10 to u, which gives u = t + 44.\n5. Substitute t = b + 18 to u, which gives u = b + 62.\n6. Substitute b = 4 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 4075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 14; e = f + 18; m = d + 7; b = 4; t = b + 18; n = t + 10; o = e + 9; v = p + 10; i = v + 10; p = b + 6; u = w + 5; d = n + 8; f = i + 15. If b = 4, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 12", "k": "w + 8", "r": "k + 7", "c": "r + 1", "f": "c + 6", "d": "f + 15", "j": "l + 8", "a": "j + 12", "y": "a + 10", "o": "y + 12", "x": "o + 5", "n": "x + 5", "l": 6}, "premises": {"l": 6}, "target": "d"}, "answer": {"steps": [["f", "c + 6", "c + 21"], ["c", "r + 1", "r + 22"], ["r", "k + 7", "k + 29"], ["k", "w + 8", "w + 37"], ["w", "l + 12", "l + 49"], ["l", 6, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"l": 6}, "is_reverse": true}}
| 4,076
| 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 = r + 1; j = l + 8; x = o + 5; a = j + 12; y = a + 10; n = x + 5; d = f + 15; o = y + 12; r = k + 7; f = c + 6; k = w + 8; w = l + 12; l = 6. If l = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 6 to d, which gives d = c + 21.\n2. Substitute c = r + 1 to d, which gives d = r + 22.\n3. Substitute r = k + 7 to d, which gives d = k + 29.\n4. Substitute k = w + 8 to d, which gives d = w + 37.\n5. Substitute w = l + 12 to d, which gives d = l + 49.\n6. Substitute l = 6 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 4076,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 1; j = l + 8; x = o + 5; a = j + 12; y = a + 10; n = x + 5; d = f + 15; o = y + 12; r = k + 7; f = c + 6; k = w + 8; w = l + 12; l = 6. If l = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"p": "v + 11", "a": "p + 11", "u": "a + 20", "z": "u + 4", "g": "z + 11", "x": "g + 8", "h": "v + 3", "s": "h + 16", "o": "s + 8", "k": "o + 10", "b": "k + 1", "y": "b + 11", "v": 10}, "premises": {"v": 10}, "target": "x"}, "answer": {"steps": [["g", "z + 11", "z + 19"], ["z", "u + 4", "u + 23"], ["u", "a + 20", "a + 43"], ["a", "p + 11", "p + 54"], ["p", "v + 11", "v + 65"], ["v", 10, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"v": 10}, "is_reverse": true}}
| 4,077
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 11; y = b + 11; b = k + 1; o = s + 8; v = 10; g = z + 11; s = h + 16; u = a + 20; h = v + 3; x = g + 8; z = u + 4; a = p + 11; k = o + 10. If v = 10, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 11 to x, which gives x = z + 19.\n2. Substitute z = u + 4 to x, which gives x = u + 23.\n3. Substitute u = a + 20 to x, which gives x = a + 43.\n4. Substitute a = p + 11 to x, which gives x = p + 54.\n5. Substitute p = v + 11 to x, which gives x = v + 65.\n6. Substitute v = 10 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 4077,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 11; y = b + 11; b = k + 1; o = s + 8; v = 10; g = z + 11; s = h + 16; u = a + 20; h = v + 3; x = g + 8; z = u + 4; a = p + 11; k = o + 10. If v = 10, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 12", "v": "h + 20", "n": "v + 3", "o": "n + 17", "g": "o + 18", "f": "g + 7", "j": "p + 7", "u": "j + 12", "i": "u + 16", "k": "i + 19", "m": "k + 14", "b": "m + 15", "p": 2}, "premises": {"p": 2}, "target": "f"}, "answer": {"steps": [["g", "o + 18", "o + 25"], ["o", "n + 17", "n + 42"], ["n", "v + 3", "v + 45"], ["v", "h + 20", "h + 65"], ["h", "p + 12", "p + 77"], ["p", 2, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"p": 2}, "is_reverse": true}}
| 4,078
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 3; p = 2; v = h + 20; o = n + 17; h = p + 12; b = m + 15; j = p + 7; i = u + 16; f = g + 7; k = i + 19; u = j + 12; g = o + 18; m = k + 14. If p = 2, determine the value of f.",
"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 + 18 to f, which gives f = o + 25.\n2. Substitute o = n + 17 to f, which gives f = n + 42.\n3. Substitute n = v + 3 to f, which gives f = v + 45.\n4. Substitute v = h + 20 to f, which gives f = h + 65.\n5. Substitute h = p + 12 to f, which gives f = p + 77.\n6. Substitute p = 2 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 4078,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 3; p = 2; v = h + 20; o = n + 17; h = p + 12; b = m + 15; j = p + 7; i = u + 16; f = g + 7; k = i + 19; u = j + 12; g = o + 18; m = k + 14. If p = 2, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 15", "g": "a + 13", "w": "g + 1", "i": "w + 12", "j": "i + 3", "t": "j + 19", "n": "u + 15", "r": "n + 10", "d": "r + 4", "y": "d + 19", "s": "y + 12", "q": "s + 7", "u": 14}, "premises": {"u": 14}, "target": "t"}, "answer": {"steps": [["j", "i + 3", "i + 22"], ["i", "w + 12", "w + 34"], ["w", "g + 1", "g + 35"], ["g", "a + 13", "a + 48"], ["a", "u + 15", "u + 63"], ["u", 14, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"u": 14}, "is_reverse": true}}
| 4,079
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = s + 7; u = 14; w = g + 1; a = u + 15; t = j + 19; s = y + 12; n = u + 15; g = a + 13; i = w + 12; j = i + 3; d = r + 4; y = d + 19; r = n + 10. Given that u = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 3 to t, which gives t = i + 22.\n2. Substitute i = w + 12 to t, which gives t = w + 34.\n3. Substitute w = g + 1 to t, which gives t = g + 35.\n4. Substitute g = a + 13 to t, which gives t = a + 48.\n5. Substitute a = u + 15 to t, which gives t = u + 63.\n6. Substitute u = 14 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 4079,
"question": "Suppose a collection of variables is related by the following definitions: q = s + 7; u = 14; w = g + 1; a = u + 15; t = j + 19; s = y + 12; n = u + 15; g = a + 13; i = w + 12; j = i + 3; d = r + 4; y = d + 19; r = n + 10. Given that u = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 5", "x": "o + 10", "b": "x + 2", "c": "b + 19", "m": "c + 11", "r": "m + 14", "y": "d + 15", "u": "y + 19", "g": "u + 18", "k": "g + 9", "i": "k + 16", "f": "i + 3", "d": 14}, "premises": {"d": 14}, "target": "r"}, "answer": {"steps": [["m", "c + 11", "c + 25"], ["c", "b + 19", "b + 44"], ["b", "x + 2", "x + 46"], ["x", "o + 10", "o + 56"], ["o", "d + 5", "d + 61"], ["d", 14, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"d": 14}, "is_reverse": true}}
| 4,080
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 14; b = x + 2; o = d + 5; d = 14; f = i + 3; x = o + 10; i = k + 16; u = y + 19; g = u + 18; y = d + 15; m = c + 11; k = g + 9; c = b + 19. If d = 14, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 11 to r, which gives r = c + 25.\n2. Substitute c = b + 19 to r, which gives r = b + 44.\n3. Substitute b = x + 2 to r, which gives r = x + 46.\n4. Substitute x = o + 10 to r, which gives r = o + 56.\n5. Substitute o = d + 5 to r, which gives r = d + 61.\n6. Substitute d = 14 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 4080,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 14; b = x + 2; o = d + 5; d = 14; f = i + 3; x = o + 10; i = k + 16; u = y + 19; g = u + 18; y = d + 15; m = c + 11; k = g + 9; c = b + 19. If d = 14, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 12", "p": "b + 12", "y": "p + 1", "r": "y + 7", "u": "r + 17", "o": "u + 6", "w": "e + 2", "a": "w + 4", "q": "a + 1", "c": "q + 18", "v": "c + 5", "h": "v + 19", "e": 4}, "premises": {"e": 4}, "target": "o"}, "answer": {"steps": [["u", "r + 17", "r + 23"], ["r", "y + 7", "y + 30"], ["y", "p + 1", "p + 31"], ["p", "b + 12", "b + 43"], ["b", "e + 12", "e + 55"], ["e", 4, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"e": 4}, "is_reverse": true}}
| 4,081
| 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 = 4; h = v + 19; r = y + 7; w = e + 2; o = u + 6; q = a + 1; v = c + 5; p = b + 12; u = r + 17; a = w + 4; y = p + 1; c = q + 18; b = e + 12. If e = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 17 to o, which gives o = r + 23.\n2. Substitute r = y + 7 to o, which gives o = y + 30.\n3. Substitute y = p + 1 to o, which gives o = p + 31.\n4. Substitute p = b + 12 to o, which gives o = b + 43.\n5. Substitute b = e + 12 to o, which gives o = e + 55.\n6. Substitute e = 4 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 4081,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 4; h = v + 19; r = y + 7; w = e + 2; o = u + 6; q = a + 1; v = c + 5; p = b + 12; u = r + 17; a = w + 4; y = p + 1; c = q + 18; b = e + 12. If e = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 6", "b": "h + 16", "z": "b + 16", "c": "z + 9", "k": "c + 9", "l": "k + 3", "a": "y + 14", "g": "a + 7", "r": "g + 18", "i": "r + 9", "n": "i + 5", "e": "n + 1", "y": 5}, "premises": {"y": 5}, "target": "l"}, "answer": {"steps": [["k", "c + 9", "c + 12"], ["c", "z + 9", "z + 21"], ["z", "b + 16", "b + 37"], ["b", "h + 16", "h + 53"], ["h", "y + 6", "y + 59"], ["y", 5, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"y": 5}, "is_reverse": true}}
| 4,082
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 1; k = c + 9; y = 5; b = h + 16; l = k + 3; a = y + 14; h = y + 6; r = g + 18; g = a + 7; z = b + 16; n = i + 5; c = z + 9; i = r + 9. Given that y = 5, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 9 to l, which gives l = c + 12.\n2. Substitute c = z + 9 to l, which gives l = z + 21.\n3. Substitute z = b + 16 to l, which gives l = b + 37.\n4. Substitute b = h + 16 to l, which gives l = h + 53.\n5. Substitute h = y + 6 to l, which gives l = y + 59.\n6. Substitute y = 5 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 4082,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 1; k = c + 9; y = 5; b = h + 16; l = k + 3; a = y + 14; h = y + 6; r = g + 18; g = a + 7; z = b + 16; n = i + 5; c = z + 9; i = r + 9. Given that y = 5, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 8", "k": "y + 12", "n": "k + 15", "z": "n + 7", "x": "z + 9", "v": "x + 15", "b": "a + 4", "e": "b + 1", "p": "e + 5", "o": "p + 3", "f": "o + 17", "w": "f + 9", "a": 20}, "premises": {"a": 20}, "target": "v"}, "answer": {"steps": [["x", "z + 9", "z + 24"], ["z", "n + 7", "n + 31"], ["n", "k + 15", "k + 46"], ["k", "y + 12", "y + 58"], ["y", "a + 8", "a + 66"], ["a", 20, "86"]], "target_var_name": "v", "target_value": 86, "value_dict": {"a": 20}, "is_reverse": true}}
| 4,083
| 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 = 20; y = a + 8; z = n + 7; f = o + 17; x = z + 9; b = a + 4; n = k + 15; k = y + 12; o = p + 3; e = b + 1; w = f + 9; p = e + 5; v = x + 15. If a = 20, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 9 to v, which gives v = z + 24.\n2. Substitute z = n + 7 to v, which gives v = n + 31.\n3. Substitute n = k + 15 to v, which gives v = k + 46.\n4. Substitute k = y + 12 to v, which gives v = y + 58.\n5. Substitute y = a + 8 to v, which gives v = a + 66.\n6. Substitute a = 20 to v, which gives v = 86.\n\nThus, the final answer is v = \\boxed{86}.",
"index": 4083,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 20; y = a + 8; z = n + 7; f = o + 17; x = z + 9; b = a + 4; n = k + 15; k = y + 12; o = p + 3; e = b + 1; w = f + 9; p = e + 5; v = x + 15. If a = 20, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 3", "i": "j + 6", "m": "i + 1", "s": "m + 16", "w": "s + 10", "n": "w + 5", "d": "b + 19", "y": "d + 5", "o": "y + 5", "h": "o + 8", "e": "h + 20", "u": "e + 6", "b": 3}, "premises": {"b": 3}, "target": "n"}, "answer": {"steps": [["w", "s + 10", "s + 15"], ["s", "m + 16", "m + 31"], ["m", "i + 1", "i + 32"], ["i", "j + 6", "j + 38"], ["j", "b + 3", "b + 41"], ["b", 3, "44"]], "target_var_name": "n", "target_value": 44, "value_dict": {"b": 3}, "is_reverse": true}}
| 4,084
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 5; o = y + 5; s = m + 16; u = e + 6; j = b + 3; n = w + 5; e = h + 20; i = j + 6; m = i + 1; w = s + 10; h = o + 8; d = b + 19; b = 3. Given that b = 3, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 10 to n, which gives n = s + 15.\n2. Substitute s = m + 16 to n, which gives n = m + 31.\n3. Substitute m = i + 1 to n, which gives n = i + 32.\n4. Substitute i = j + 6 to n, which gives n = j + 38.\n5. Substitute j = b + 3 to n, which gives n = b + 41.\n6. Substitute b = 3 to n, which gives n = 44.\n\nThus, the final answer is n = \\boxed{44}.",
"index": 4084,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 5; o = y + 5; s = m + 16; u = e + 6; j = b + 3; n = w + 5; e = h + 20; i = j + 6; m = i + 1; w = s + 10; h = o + 8; d = b + 19; b = 3. Given that b = 3, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 4", "y": "p + 2", "a": "y + 10", "b": "a + 14", "k": "b + 9", "j": "k + 20", "s": "t + 12", "o": "s + 3", "z": "o + 14", "w": "z + 15", "e": "w + 5", "r": "e + 18", "t": 15}, "premises": {"t": 15}, "target": "j"}, "answer": {"steps": [["k", "b + 9", "b + 29"], ["b", "a + 14", "a + 43"], ["a", "y + 10", "y + 53"], ["y", "p + 2", "p + 55"], ["p", "t + 4", "t + 59"], ["t", 15, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"t": 15}, "is_reverse": true}}
| 4,085
| 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 = b + 9; o = s + 3; w = z + 15; j = k + 20; a = y + 10; e = w + 5; p = t + 4; y = p + 2; r = e + 18; t = 15; b = a + 14; s = t + 12; z = o + 14. If t = 15, 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 k = b + 9 to j, which gives j = b + 29.\n2. Substitute b = a + 14 to j, which gives j = a + 43.\n3. Substitute a = y + 10 to j, which gives j = y + 53.\n4. Substitute y = p + 2 to j, which gives j = p + 55.\n5. Substitute p = t + 4 to j, which gives j = t + 59.\n6. Substitute t = 15 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 4085,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 9; o = s + 3; w = z + 15; j = k + 20; a = y + 10; e = w + 5; p = t + 4; y = p + 2; r = e + 18; t = 15; b = a + 14; s = t + 12; z = o + 14. If t = 15, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 20", "a": "x + 8", "d": "a + 4", "y": "d + 8", "i": "y + 17", "c": "i + 11", "o": "g + 7", "f": "o + 11", "u": "f + 11", "r": "u + 6", "w": "r + 2", "l": "w + 16", "g": 11}, "premises": {"g": 11}, "target": "c"}, "answer": {"steps": [["i", "y + 17", "y + 28"], ["y", "d + 8", "d + 36"], ["d", "a + 4", "a + 40"], ["a", "x + 8", "x + 48"], ["x", "g + 20", "g + 68"], ["g", 11, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"g": 11}, "is_reverse": true}}
| 4,086
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 11; w = r + 2; f = o + 11; u = f + 11; i = y + 17; a = x + 8; d = a + 4; c = i + 11; l = w + 16; r = u + 6; y = d + 8; x = g + 20; o = g + 7. If g = 11, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 17 to c, which gives c = y + 28.\n2. Substitute y = d + 8 to c, which gives c = d + 36.\n3. Substitute d = a + 4 to c, which gives c = a + 40.\n4. Substitute a = x + 8 to c, which gives c = x + 48.\n5. Substitute x = g + 20 to c, which gives c = g + 68.\n6. Substitute g = 11 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 4086,
"question": "Consider a system of variables where each variable is defined as follows: g = 11; w = r + 2; f = o + 11; u = f + 11; i = y + 17; a = x + 8; d = a + 4; c = i + 11; l = w + 16; r = u + 6; y = d + 8; x = g + 20; o = g + 7. If g = 11, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 20", "x": "p + 19", "u": "x + 11", "b": "u + 10", "v": "b + 16", "y": "v + 4", "l": "h + 4", "t": "l + 13", "z": "t + 2", "n": "z + 16", "e": "n + 11", "w": "e + 7", "h": 17}, "premises": {"h": 17}, "target": "y"}, "answer": {"steps": [["v", "b + 16", "b + 20"], ["b", "u + 10", "u + 30"], ["u", "x + 11", "x + 41"], ["x", "p + 19", "p + 60"], ["p", "h + 20", "h + 80"], ["h", 17, "97"]], "target_var_name": "y", "target_value": 97, "value_dict": {"h": 17}, "is_reverse": true}}
| 4,087
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 4; n = z + 16; z = t + 2; v = b + 16; e = n + 11; u = x + 11; w = e + 7; p = h + 20; t = l + 13; y = v + 4; b = u + 10; h = 17; x = p + 19. If h = 17, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 16 to y, which gives y = b + 20.\n2. Substitute b = u + 10 to y, which gives y = u + 30.\n3. Substitute u = x + 11 to y, which gives y = x + 41.\n4. Substitute x = p + 19 to y, which gives y = p + 60.\n5. Substitute p = h + 20 to y, which gives y = h + 80.\n6. Substitute h = 17 to y, which gives y = 97.\n\nThus, the final answer is y = \\boxed{97}.",
"index": 4087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 4; n = z + 16; z = t + 2; v = b + 16; e = n + 11; u = x + 11; w = e + 7; p = h + 20; t = l + 13; y = v + 4; b = u + 10; h = 17; x = p + 19. If h = 17, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 17", "m": "p + 2", "t": "m + 6", "b": "t + 19", "g": "b + 4", "q": "g + 4", "u": "r + 19", "a": "u + 5", "k": "a + 16", "e": "k + 14", "o": "e + 7", "h": "o + 3", "r": 3}, "premises": {"r": 3}, "target": "q"}, "answer": {"steps": [["g", "b + 4", "b + 8"], ["b", "t + 19", "t + 27"], ["t", "m + 6", "m + 33"], ["m", "p + 2", "p + 35"], ["p", "r + 17", "r + 52"], ["r", 3, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"r": 3}, "is_reverse": true}}
| 4,088
| 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 = m + 6; k = a + 16; e = k + 14; g = b + 4; a = u + 5; m = p + 2; h = o + 3; q = g + 4; u = r + 19; o = e + 7; p = r + 17; b = t + 19; r = 3. If r = 3, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 4 to q, which gives q = b + 8.\n2. Substitute b = t + 19 to q, which gives q = t + 27.\n3. Substitute t = m + 6 to q, which gives q = m + 33.\n4. Substitute m = p + 2 to q, which gives q = p + 35.\n5. Substitute p = r + 17 to q, which gives q = r + 52.\n6. Substitute r = 3 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 4088,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = m + 6; k = a + 16; e = k + 14; g = b + 4; a = u + 5; m = p + 2; h = o + 3; q = g + 4; u = r + 19; o = e + 7; p = r + 17; b = t + 19; r = 3. If r = 3, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 7", "i": "c + 2", "a": "i + 8", "q": "a + 2", "g": "q + 4", "r": "g + 17", "j": "h + 2", "w": "j + 8", "m": "w + 15", "y": "m + 13", "k": "y + 6", "d": "k + 16", "h": 16}, "premises": {"h": 16}, "target": "r"}, "answer": {"steps": [["g", "q + 4", "q + 21"], ["q", "a + 2", "a + 23"], ["a", "i + 8", "i + 31"], ["i", "c + 2", "c + 33"], ["c", "h + 7", "h + 40"], ["h", 16, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"h": 16}, "is_reverse": true}}
| 4,089
| 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 = w + 15; d = k + 16; r = g + 17; w = j + 8; k = y + 6; a = i + 8; g = q + 4; q = a + 2; i = c + 2; h = 16; j = h + 2; c = h + 7; y = m + 13. If h = 16, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 4 to r, which gives r = q + 21.\n2. Substitute q = a + 2 to r, which gives r = a + 23.\n3. Substitute a = i + 8 to r, which gives r = i + 31.\n4. Substitute i = c + 2 to r, which gives r = c + 33.\n5. Substitute c = h + 7 to r, which gives r = h + 40.\n6. Substitute h = 16 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 4089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 15; d = k + 16; r = g + 17; w = j + 8; k = y + 6; a = i + 8; g = q + 4; q = a + 2; i = c + 2; h = 16; j = h + 2; c = h + 7; y = m + 13. If h = 16, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 7", "s": "o + 12", "y": "s + 13", "l": "y + 11", "x": "l + 2", "g": "x + 2", "b": "a + 4", "v": "b + 5", "r": "v + 6", "e": "r + 2", "w": "e + 18", "u": "w + 10", "a": 18}, "premises": {"a": 18}, "target": "g"}, "answer": {"steps": [["x", "l + 2", "l + 4"], ["l", "y + 11", "y + 15"], ["y", "s + 13", "s + 28"], ["s", "o + 12", "o + 40"], ["o", "a + 7", "a + 47"], ["a", 18, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"a": 18}, "is_reverse": true}}
| 4,090
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 2; g = x + 2; b = a + 4; u = w + 10; w = e + 18; e = r + 2; a = 18; l = y + 11; y = s + 13; s = o + 12; o = a + 7; r = v + 6; v = b + 5. If a = 18, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 2 to g, which gives g = l + 4.\n2. Substitute l = y + 11 to g, which gives g = y + 15.\n3. Substitute y = s + 13 to g, which gives g = s + 28.\n4. Substitute s = o + 12 to g, which gives g = o + 40.\n5. Substitute o = a + 7 to g, which gives g = a + 47.\n6. Substitute a = 18 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 4090,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 2; g = x + 2; b = a + 4; u = w + 10; w = e + 18; e = r + 2; a = 18; l = y + 11; y = s + 13; s = o + 12; o = a + 7; r = v + 6; v = b + 5. If a = 18, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "v + 1", "m": "p + 15", "n": "m + 2", "o": "n + 14", "y": "o + 16", "f": "y + 9", "d": "v + 17", "e": "d + 17", "x": "e + 10", "b": "x + 1", "u": "b + 10", "z": "u + 1", "v": 12}, "premises": {"v": 12}, "target": "f"}, "answer": {"steps": [["y", "o + 16", "o + 25"], ["o", "n + 14", "n + 39"], ["n", "m + 2", "m + 41"], ["m", "p + 15", "p + 56"], ["p", "v + 1", "v + 57"], ["v", 12, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"v": 12}, "is_reverse": true}}
| 4,091
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 2; y = o + 16; b = x + 1; v = 12; e = d + 17; d = v + 17; x = e + 10; u = b + 10; p = v + 1; z = u + 1; o = n + 14; m = p + 15; f = y + 9. Given that v = 12, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 16 to f, which gives f = o + 25.\n2. Substitute o = n + 14 to f, which gives f = n + 39.\n3. Substitute n = m + 2 to f, which gives f = m + 41.\n4. Substitute m = p + 15 to f, which gives f = p + 56.\n5. Substitute p = v + 1 to f, which gives f = v + 57.\n6. Substitute v = 12 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 4091,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 2; y = o + 16; b = x + 1; v = 12; e = d + 17; d = v + 17; x = e + 10; u = b + 10; p = v + 1; z = u + 1; o = n + 14; m = p + 15; f = y + 9. Given that v = 12, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 3", "m": "z + 14", "u": "m + 7", "g": "u + 9", "j": "g + 7", "l": "j + 13", "d": "a + 1", "t": "d + 18", "i": "t + 17", "p": "i + 1", "c": "p + 6", "s": "c + 3", "a": 11}, "premises": {"a": 11}, "target": "l"}, "answer": {"steps": [["j", "g + 7", "g + 20"], ["g", "u + 9", "u + 29"], ["u", "m + 7", "m + 36"], ["m", "z + 14", "z + 50"], ["z", "a + 3", "a + 53"], ["a", 11, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"a": 11}, "is_reverse": true}}
| 4,092
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = u + 9; d = a + 1; c = p + 6; t = d + 18; i = t + 17; u = m + 7; p = i + 1; j = g + 7; l = j + 13; a = 11; z = a + 3; m = z + 14; s = c + 3. Given that a = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 7 to l, which gives l = g + 20.\n2. Substitute g = u + 9 to l, which gives l = u + 29.\n3. Substitute u = m + 7 to l, which gives l = m + 36.\n4. Substitute m = z + 14 to l, which gives l = z + 50.\n5. Substitute z = a + 3 to l, which gives l = a + 53.\n6. Substitute a = 11 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 4092,
"question": "Suppose a collection of variables is related by the following definitions: g = u + 9; d = a + 1; c = p + 6; t = d + 18; i = t + 17; u = m + 7; p = i + 1; j = g + 7; l = j + 13; a = 11; z = a + 3; m = z + 14; s = c + 3. Given that a = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 5", "z": "d + 20", "j": "z + 20", "b": "j + 14", "v": "b + 10", "h": "v + 3", "p": "g + 4", "l": "p + 18", "o": "l + 19", "x": "o + 7", "c": "x + 12", "q": "c + 18", "g": 10}, "premises": {"g": 10}, "target": "h"}, "answer": {"steps": [["v", "b + 10", "b + 13"], ["b", "j + 14", "j + 27"], ["j", "z + 20", "z + 47"], ["z", "d + 20", "d + 67"], ["d", "g + 5", "g + 72"], ["g", 10, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"g": 10}, "is_reverse": true}}
| 4,093
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 19; d = g + 5; z = d + 20; j = z + 20; g = 10; c = x + 12; x = o + 7; q = c + 18; h = v + 3; l = p + 18; b = j + 14; v = b + 10; p = g + 4. If g = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 10 to h, which gives h = b + 13.\n2. Substitute b = j + 14 to h, which gives h = j + 27.\n3. Substitute j = z + 20 to h, which gives h = z + 47.\n4. Substitute z = d + 20 to h, which gives h = d + 67.\n5. Substitute d = g + 5 to h, which gives h = g + 72.\n6. Substitute g = 10 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 4093,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 19; d = g + 5; z = d + 20; j = z + 20; g = 10; c = x + 12; x = o + 7; q = c + 18; h = v + 3; l = p + 18; b = j + 14; v = b + 10; p = g + 4. If g = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 5", "f": "r + 10", "w": "f + 10", "m": "w + 12", "z": "m + 11", "q": "z + 19", "y": "e + 10", "s": "y + 1", "d": "s + 17", "b": "d + 19", "n": "b + 9", "g": "n + 7", "e": 16}, "premises": {"e": 16}, "target": "q"}, "answer": {"steps": [["z", "m + 11", "m + 30"], ["m", "w + 12", "w + 42"], ["w", "f + 10", "f + 52"], ["f", "r + 10", "r + 62"], ["r", "e + 5", "e + 67"], ["e", 16, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"e": 16}, "is_reverse": true}}
| 4,094
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 1; n = b + 9; b = d + 19; m = w + 12; r = e + 5; d = s + 17; g = n + 7; z = m + 11; q = z + 19; y = e + 10; e = 16; f = r + 10; w = f + 10. If e = 16, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 11 to q, which gives q = m + 30.\n2. Substitute m = w + 12 to q, which gives q = w + 42.\n3. Substitute w = f + 10 to q, which gives q = f + 52.\n4. Substitute f = r + 10 to q, which gives q = r + 62.\n5. Substitute r = e + 5 to q, which gives q = e + 67.\n6. Substitute e = 16 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 4094,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 1; n = b + 9; b = d + 19; m = w + 12; r = e + 5; d = s + 17; g = n + 7; z = m + 11; q = z + 19; y = e + 10; e = 16; f = r + 10; w = f + 10. If e = 16, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 2", "q": "y + 2", "k": "q + 4", "o": "k + 6", "g": "o + 15", "j": "g + 13", "t": "d + 12", "z": "t + 8", "n": "z + 12", "w": "n + 9", "v": "w + 7", "i": "v + 1", "d": 1}, "premises": {"d": 1}, "target": "j"}, "answer": {"steps": [["g", "o + 15", "o + 28"], ["o", "k + 6", "k + 34"], ["k", "q + 4", "q + 38"], ["q", "y + 2", "y + 40"], ["y", "d + 2", "d + 42"], ["d", 1, "43"]], "target_var_name": "j", "target_value": 43, "value_dict": {"d": 1}, "is_reverse": true}}
| 4,095
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 12; k = q + 4; j = g + 13; g = o + 15; w = n + 9; n = z + 12; y = d + 2; d = 1; i = v + 1; z = t + 8; o = k + 6; v = w + 7; q = y + 2. Given that d = 1, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 15 to j, which gives j = o + 28.\n2. Substitute o = k + 6 to j, which gives j = k + 34.\n3. Substitute k = q + 4 to j, which gives j = q + 38.\n4. Substitute q = y + 2 to j, which gives j = y + 40.\n5. Substitute y = d + 2 to j, which gives j = d + 42.\n6. Substitute d = 1 to j, which gives j = 43.\n\nThus, the final answer is j = \\boxed{43}.",
"index": 4095,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 12; k = q + 4; j = g + 13; g = o + 15; w = n + 9; n = z + 12; y = d + 2; d = 1; i = v + 1; z = t + 8; o = k + 6; v = w + 7; q = y + 2. Given that d = 1, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 10", "y": "x + 12", "z": "y + 2", "c": "z + 4", "e": "c + 3", "v": "e + 11", "h": "u + 1", "d": "h + 6", "j": "d + 6", "t": "j + 2", "b": "t + 16", "i": "b + 18", "u": 8}, "premises": {"u": 8}, "target": "v"}, "answer": {"steps": [["e", "c + 3", "c + 14"], ["c", "z + 4", "z + 18"], ["z", "y + 2", "y + 20"], ["y", "x + 12", "x + 32"], ["x", "u + 10", "u + 42"], ["u", 8, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"u": 8}, "is_reverse": true}}
| 4,096
| 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 = 8; z = y + 2; b = t + 16; i = b + 18; j = d + 6; e = c + 3; h = u + 1; y = x + 12; x = u + 10; v = e + 11; c = z + 4; d = h + 6; t = j + 2. If u = 8, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 3 to v, which gives v = c + 14.\n2. Substitute c = z + 4 to v, which gives v = z + 18.\n3. Substitute z = y + 2 to v, which gives v = y + 20.\n4. Substitute y = x + 12 to v, which gives v = x + 32.\n5. Substitute x = u + 10 to v, which gives v = u + 42.\n6. Substitute u = 8 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 4096,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 8; z = y + 2; b = t + 16; i = b + 18; j = d + 6; e = c + 3; h = u + 1; y = x + 12; x = u + 10; v = e + 11; c = z + 4; d = h + 6; t = j + 2. If u = 8, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 4", "z": "v + 9", "d": "z + 10", "y": "d + 20", "b": "y + 4", "e": "b + 9", "k": "p + 11", "w": "k + 14", "u": "w + 7", "i": "u + 1", "g": "i + 16", "m": "g + 15", "p": 17}, "premises": {"p": 17}, "target": "e"}, "answer": {"steps": [["b", "y + 4", "y + 13"], ["y", "d + 20", "d + 33"], ["d", "z + 10", "z + 43"], ["z", "v + 9", "v + 52"], ["v", "p + 4", "p + 56"], ["p", 17, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"p": 17}, "is_reverse": true}}
| 4,097
| 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 = p + 11; u = w + 7; w = k + 14; z = v + 9; b = y + 4; g = i + 16; d = z + 10; m = g + 15; i = u + 1; y = d + 20; e = b + 9; v = p + 4; p = 17. If p = 17, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 4 to e, which gives e = y + 13.\n2. Substitute y = d + 20 to e, which gives e = d + 33.\n3. Substitute d = z + 10 to e, which gives e = z + 43.\n4. Substitute z = v + 9 to e, which gives e = v + 52.\n5. Substitute v = p + 4 to e, which gives e = p + 56.\n6. Substitute p = 17 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 4097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 11; u = w + 7; w = k + 14; z = v + 9; b = y + 4; g = i + 16; d = z + 10; m = g + 15; i = u + 1; y = d + 20; e = b + 9; v = p + 4; p = 17. If p = 17, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 16", "d": "e + 6", "q": "d + 20", "w": "q + 18", "a": "w + 10", "o": "a + 18", "l": "u + 11", "g": "l + 5", "h": "g + 9", "t": "h + 19", "y": "t + 12", "s": "y + 3", "u": 12}, "premises": {"u": 12}, "target": "o"}, "answer": {"steps": [["a", "w + 10", "w + 28"], ["w", "q + 18", "q + 46"], ["q", "d + 20", "d + 66"], ["d", "e + 6", "e + 72"], ["e", "u + 16", "u + 88"], ["u", 12, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"u": 12}, "is_reverse": true}}
| 4,098
| 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 = t + 12; s = y + 3; o = a + 18; t = h + 19; g = l + 5; e = u + 16; h = g + 9; d = e + 6; q = d + 20; w = q + 18; u = 12; l = u + 11; a = w + 10. If u = 12, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 10 to o, which gives o = w + 28.\n2. Substitute w = q + 18 to o, which gives o = q + 46.\n3. Substitute q = d + 20 to o, which gives o = d + 66.\n4. Substitute d = e + 6 to o, which gives o = e + 72.\n5. Substitute e = u + 16 to o, which gives o = u + 88.\n6. Substitute u = 12 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 4098,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = t + 12; s = y + 3; o = a + 18; t = h + 19; g = l + 5; e = u + 16; h = g + 9; d = e + 6; q = d + 20; w = q + 18; u = 12; l = u + 11; a = w + 10. If u = 12, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 9", "r": "y + 5", "v": "r + 16", "e": "v + 9", "z": "e + 17", "w": "z + 5", "j": "o + 6", "u": "j + 19", "h": "u + 20", "g": "h + 20", "d": "g + 5", "c": "d + 4", "o": 19}, "premises": {"o": 19}, "target": "w"}, "answer": {"steps": [["z", "e + 17", "e + 22"], ["e", "v + 9", "v + 31"], ["v", "r + 16", "r + 47"], ["r", "y + 5", "y + 52"], ["y", "o + 9", "o + 61"], ["o", 19, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"o": 19}, "is_reverse": true}}
| 4,099
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 5; u = j + 19; c = d + 4; z = e + 17; y = o + 9; w = z + 5; v = r + 16; d = g + 5; e = v + 9; o = 19; h = u + 20; g = h + 20; j = o + 6. Given that o = 19, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 17 to w, which gives w = e + 22.\n2. Substitute e = v + 9 to w, which gives w = v + 31.\n3. Substitute v = r + 16 to w, which gives w = r + 47.\n4. Substitute r = y + 5 to w, which gives w = y + 52.\n5. Substitute y = o + 9 to w, which gives w = o + 61.\n6. Substitute o = 19 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 4099,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 5; u = j + 19; c = d + 4; z = e + 17; y = o + 9; w = z + 5; v = r + 16; d = g + 5; e = v + 9; o = 19; h = u + 20; g = h + 20; j = o + 6. Given that o = 19, find the value of w.",
"split": "train"
}
|
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