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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"k": "o + 9", "c": "k + 20", "y": "c + 8", "q": "y + 8", "s": "q + 2", "w": "s + 9", "g": "o + 14", "p": "g + 8", "n": "p + 15", "b": "n + 8", "e": "b + 18", "z": "e + 16", "o": 15}, "premises": {"o": 15}, "target": "w"}, "answer": {"steps": [["s", "q + 2", "q + 11"], ["q", "y + 8", "y + 19"], ["y", "c + 8", "c + 27"], ["c", "k + 20", "k + 47"], ["k", "o + 9", "o + 56"], ["o", 15, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"o": 15}, "is_reverse": true}}
| 1,900
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 2; k = o + 9; c = k + 20; e = b + 18; o = 15; p = g + 8; n = p + 15; y = c + 8; q = y + 8; b = n + 8; z = e + 16; w = s + 9; g = o + 14. If o = 15, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 2 to w, which gives w = q + 11.\n2. Substitute q = y + 8 to w, which gives w = y + 19.\n3. Substitute y = c + 8 to w, which gives w = c + 27.\n4. Substitute c = k + 20 to w, which gives w = k + 47.\n5. Substitute k = o + 9 to w, which gives w = o + 56.\n6. Substitute o = 15 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 1900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 2; k = o + 9; c = k + 20; e = b + 18; o = 15; p = g + 8; n = p + 15; y = c + 8; q = y + 8; b = n + 8; z = e + 16; w = s + 9; g = o + 14. If o = 15, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 7", "g": "d + 19", "n": "g + 15", "b": "n + 2", "t": "b + 7", "k": "t + 6", "c": "q + 16", "o": "c + 12", "e": "o + 13", "i": "e + 15", "s": "i + 7", "f": "s + 2", "q": 4}, "premises": {"q": 4}, "target": "k"}, "answer": {"steps": [["t", "b + 7", "b + 13"], ["b", "n + 2", "n + 15"], ["n", "g + 15", "g + 30"], ["g", "d + 19", "d + 49"], ["d", "q + 7", "q + 56"], ["q", 4, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"q": 4}, "is_reverse": true}}
| 1,901
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 12; t = b + 7; e = o + 13; k = t + 6; c = q + 16; f = s + 2; g = d + 19; d = q + 7; q = 4; n = g + 15; i = e + 15; s = i + 7; b = n + 2. If q = 4, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 7 to k, which gives k = b + 13.\n2. Substitute b = n + 2 to k, which gives k = n + 15.\n3. Substitute n = g + 15 to k, which gives k = g + 30.\n4. Substitute g = d + 19 to k, which gives k = d + 49.\n5. Substitute d = q + 7 to k, which gives k = q + 56.\n6. Substitute q = 4 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 1901,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 12; t = b + 7; e = o + 13; k = t + 6; c = q + 16; f = s + 2; g = d + 19; d = q + 7; q = 4; n = g + 15; i = e + 15; s = i + 7; b = n + 2. If q = 4, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 13", "l": "u + 12", "y": "l + 18", "m": "y + 15", "n": "m + 3", "h": "n + 18", "x": "r + 15", "g": "x + 15", "d": "g + 8", "t": "d + 5", "z": "t + 9", "c": "z + 8", "r": 11}, "premises": {"r": 11}, "target": "h"}, "answer": {"steps": [["n", "m + 3", "m + 21"], ["m", "y + 15", "y + 36"], ["y", "l + 18", "l + 54"], ["l", "u + 12", "u + 66"], ["u", "r + 13", "r + 79"], ["r", 11, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"r": 11}, "is_reverse": true}}
| 1,902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 15; r = 11; t = d + 5; g = x + 15; z = t + 9; d = g + 8; c = z + 8; l = u + 12; n = m + 3; m = y + 15; h = n + 18; y = l + 18; u = r + 13. If r = 11, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 3 to h, which gives h = m + 21.\n2. Substitute m = y + 15 to h, which gives h = y + 36.\n3. Substitute y = l + 18 to h, which gives h = l + 54.\n4. Substitute l = u + 12 to h, which gives h = u + 66.\n5. Substitute u = r + 13 to h, which gives h = r + 79.\n6. Substitute r = 11 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 1902,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 15; r = 11; t = d + 5; g = x + 15; z = t + 9; d = g + 8; c = z + 8; l = u + 12; n = m + 3; m = y + 15; h = n + 18; y = l + 18; u = r + 13. If r = 11, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 1", "a": "k + 16", "l": "a + 15", "b": "l + 7", "r": "b + 6", "z": "r + 13", "i": "u + 18", "v": "i + 14", "o": "v + 7", "w": "o + 14", "m": "w + 15", "h": "m + 11", "u": 5}, "premises": {"u": 5}, "target": "z"}, "answer": {"steps": [["r", "b + 6", "b + 19"], ["b", "l + 7", "l + 26"], ["l", "a + 15", "a + 41"], ["a", "k + 16", "k + 57"], ["k", "u + 1", "u + 58"], ["u", 5, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"u": 5}, "is_reverse": true}}
| 1,903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 1; z = r + 13; i = u + 18; r = b + 6; u = 5; w = o + 14; b = l + 7; o = v + 7; m = w + 15; v = i + 14; l = a + 15; h = m + 11; a = k + 16. Given that u = 5, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 6 to z, which gives z = b + 19.\n2. Substitute b = l + 7 to z, which gives z = l + 26.\n3. Substitute l = a + 15 to z, which gives z = a + 41.\n4. Substitute a = k + 16 to z, which gives z = k + 57.\n5. Substitute k = u + 1 to z, which gives z = u + 58.\n6. Substitute u = 5 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 1903,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 1; z = r + 13; i = u + 18; r = b + 6; u = 5; w = o + 14; b = l + 7; o = v + 7; m = w + 15; v = i + 14; l = a + 15; h = m + 11; a = k + 16. Given that u = 5, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 16", "f": "p + 8", "m": "f + 1", "g": "m + 16", "v": "g + 2", "h": "v + 16", "u": "x + 18", "w": "u + 3", "t": "w + 18", "r": "t + 3", "e": "r + 6", "z": "e + 1", "x": 5}, "premises": {"x": 5}, "target": "h"}, "answer": {"steps": [["v", "g + 2", "g + 18"], ["g", "m + 16", "m + 34"], ["m", "f + 1", "f + 35"], ["f", "p + 8", "p + 43"], ["p", "x + 16", "x + 59"], ["x", 5, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"x": 5}, "is_reverse": true}}
| 1,904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 2; p = x + 16; f = p + 8; r = t + 3; t = w + 18; g = m + 16; e = r + 6; u = x + 18; x = 5; m = f + 1; h = v + 16; z = e + 1; w = u + 3. If x = 5, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 2 to h, which gives h = g + 18.\n2. Substitute g = m + 16 to h, which gives h = m + 34.\n3. Substitute m = f + 1 to h, which gives h = f + 35.\n4. Substitute f = p + 8 to h, which gives h = p + 43.\n5. Substitute p = x + 16 to h, which gives h = x + 59.\n6. Substitute x = 5 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 1904,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 2; p = x + 16; f = p + 8; r = t + 3; t = w + 18; g = m + 16; e = r + 6; u = x + 18; x = 5; m = f + 1; h = v + 16; z = e + 1; w = u + 3. If x = 5, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 9", "k": "b + 6", "g": "k + 17", "f": "g + 1", "l": "f + 11", "z": "l + 2", "d": "y + 3", "n": "d + 8", "p": "n + 4", "t": "p + 8", "j": "t + 1", "c": "j + 17", "y": 2}, "premises": {"y": 2}, "target": "z"}, "answer": {"steps": [["l", "f + 11", "f + 13"], ["f", "g + 1", "g + 14"], ["g", "k + 17", "k + 31"], ["k", "b + 6", "b + 37"], ["b", "y + 9", "y + 46"], ["y", 2, "48"]], "target_var_name": "z", "target_value": 48, "value_dict": {"y": 2}, "is_reverse": true}}
| 1,905
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 1; d = y + 3; b = y + 9; n = d + 8; j = t + 1; t = p + 8; g = k + 17; k = b + 6; p = n + 4; l = f + 11; z = l + 2; y = 2; c = j + 17. If y = 2, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 11 to z, which gives z = f + 13.\n2. Substitute f = g + 1 to z, which gives z = g + 14.\n3. Substitute g = k + 17 to z, which gives z = k + 31.\n4. Substitute k = b + 6 to z, which gives z = b + 37.\n5. Substitute b = y + 9 to z, which gives z = y + 46.\n6. Substitute y = 2 to z, which gives z = 48.\n\nThus, the final answer is z = \\boxed{48}.",
"index": 1905,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 1; d = y + 3; b = y + 9; n = d + 8; j = t + 1; t = p + 8; g = k + 17; k = b + 6; p = n + 4; l = f + 11; z = l + 2; y = 2; c = j + 17. If y = 2, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 20", "z": "h + 7", "a": "z + 15", "v": "a + 16", "q": "v + 19", "t": "q + 18", "r": "d + 1", "m": "r + 14", "k": "m + 6", "u": "k + 8", "o": "u + 5", "w": "o + 9", "d": 14}, "premises": {"d": 14}, "target": "t"}, "answer": {"steps": [["q", "v + 19", "v + 37"], ["v", "a + 16", "a + 53"], ["a", "z + 15", "z + 68"], ["z", "h + 7", "h + 75"], ["h", "d + 20", "d + 95"], ["d", 14, "109"]], "target_var_name": "t", "target_value": 109, "value_dict": {"d": 14}, "is_reverse": true}}
| 1,906
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = v + 19; a = z + 15; r = d + 1; h = d + 20; k = m + 6; t = q + 18; u = k + 8; o = u + 5; v = a + 16; z = h + 7; d = 14; w = o + 9; m = r + 14. If d = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 19 to t, which gives t = v + 37.\n2. Substitute v = a + 16 to t, which gives t = a + 53.\n3. Substitute a = z + 15 to t, which gives t = z + 68.\n4. Substitute z = h + 7 to t, which gives t = h + 75.\n5. Substitute h = d + 20 to t, which gives t = d + 95.\n6. Substitute d = 14 to t, which gives t = 109.\n\nThus, the final answer is t = \\boxed{109}.",
"index": 1906,
"question": "Consider a system of variables where each variable is defined as follows: q = v + 19; a = z + 15; r = d + 1; h = d + 20; k = m + 6; t = q + 18; u = k + 8; o = u + 5; v = a + 16; z = h + 7; d = 14; w = o + 9; m = r + 14. If d = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 12", "j": "u + 17", "e": "j + 19", "x": "e + 9", "o": "x + 17", "q": "o + 7", "p": "i + 1", "n": "p + 7", "l": "n + 6", "f": "l + 9", "k": "f + 6", "h": "k + 10", "i": 20}, "premises": {"i": 20}, "target": "q"}, "answer": {"steps": [["o", "x + 17", "x + 24"], ["x", "e + 9", "e + 33"], ["e", "j + 19", "j + 52"], ["j", "u + 17", "u + 69"], ["u", "i + 12", "i + 81"], ["i", 20, "101"]], "target_var_name": "q", "target_value": 101, "value_dict": {"i": 20}, "is_reverse": true}}
| 1,907
| 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 = j + 19; k = f + 6; o = x + 17; u = i + 12; q = o + 7; x = e + 9; f = l + 9; i = 20; j = u + 17; l = n + 6; h = k + 10; n = p + 7; p = i + 1. If i = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 17 to q, which gives q = x + 24.\n2. Substitute x = e + 9 to q, which gives q = e + 33.\n3. Substitute e = j + 19 to q, which gives q = j + 52.\n4. Substitute j = u + 17 to q, which gives q = u + 69.\n5. Substitute u = i + 12 to q, which gives q = i + 81.\n6. Substitute i = 20 to q, which gives q = 101.\n\nThus, the final answer is q = \\boxed{101}.",
"index": 1907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 19; k = f + 6; o = x + 17; u = i + 12; q = o + 7; x = e + 9; f = l + 9; i = 20; j = u + 17; l = n + 6; h = k + 10; n = p + 7; p = i + 1. If i = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"q": "n + 5", "s": "q + 2", "j": "s + 16", "w": "j + 8", "g": "w + 19", "c": "g + 18", "f": "n + 18", "u": "f + 14", "m": "u + 2", "h": "m + 2", "e": "h + 3", "o": "e + 17", "n": 4}, "premises": {"n": 4}, "target": "c"}, "answer": {"steps": [["g", "w + 19", "w + 37"], ["w", "j + 8", "j + 45"], ["j", "s + 16", "s + 61"], ["s", "q + 2", "q + 63"], ["q", "n + 5", "n + 68"], ["n", 4, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"n": 4}, "is_reverse": true}}
| 1,908
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 16; e = h + 3; g = w + 19; n = 4; q = n + 5; c = g + 18; u = f + 14; w = j + 8; m = u + 2; s = q + 2; h = m + 2; f = n + 18; o = e + 17. If n = 4, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 19 to c, which gives c = w + 37.\n2. Substitute w = j + 8 to c, which gives c = j + 45.\n3. Substitute j = s + 16 to c, which gives c = s + 61.\n4. Substitute s = q + 2 to c, which gives c = q + 63.\n5. Substitute q = n + 5 to c, which gives c = n + 68.\n6. Substitute n = 4 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 1908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 16; e = h + 3; g = w + 19; n = 4; q = n + 5; c = g + 18; u = f + 14; w = j + 8; m = u + 2; s = q + 2; h = m + 2; f = n + 18; o = e + 17. If n = 4, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 9", "k": "g + 13", "y": "k + 6", "e": "y + 12", "v": "e + 20", "a": "v + 13", "i": "m + 2", "h": "i + 2", "p": "h + 5", "c": "p + 11", "t": "c + 7", "j": "t + 14", "m": 15}, "premises": {"m": 15}, "target": "a"}, "answer": {"steps": [["v", "e + 20", "e + 33"], ["e", "y + 12", "y + 45"], ["y", "k + 6", "k + 51"], ["k", "g + 13", "g + 64"], ["g", "m + 9", "m + 73"], ["m", 15, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"m": 15}, "is_reverse": true}}
| 1,909
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 2; m = 15; a = v + 13; c = p + 11; v = e + 20; e = y + 12; k = g + 13; j = t + 14; y = k + 6; t = c + 7; h = i + 2; p = h + 5; g = m + 9. Given that m = 15, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 20 to a, which gives a = e + 33.\n2. Substitute e = y + 12 to a, which gives a = y + 45.\n3. Substitute y = k + 6 to a, which gives a = k + 51.\n4. Substitute k = g + 13 to a, which gives a = g + 64.\n5. Substitute g = m + 9 to a, which gives a = m + 73.\n6. Substitute m = 15 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 1909,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 2; m = 15; a = v + 13; c = p + 11; v = e + 20; e = y + 12; k = g + 13; j = t + 14; y = k + 6; t = c + 7; h = i + 2; p = h + 5; g = m + 9. Given that m = 15, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 12", "i": "s + 13", "h": "i + 5", "w": "h + 3", "r": "w + 19", "d": "r + 14", "p": "t + 14", "e": "p + 11", "z": "e + 19", "n": "z + 6", "k": "n + 9", "b": "k + 5", "t": 14}, "premises": {"t": 14}, "target": "d"}, "answer": {"steps": [["r", "w + 19", "w + 33"], ["w", "h + 3", "h + 36"], ["h", "i + 5", "i + 41"], ["i", "s + 13", "s + 54"], ["s", "t + 12", "t + 66"], ["t", 14, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"t": 14}, "is_reverse": true}}
| 1,910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 14; e = p + 11; n = z + 6; r = w + 19; k = n + 9; z = e + 19; d = r + 14; t = 14; s = t + 12; h = i + 5; b = k + 5; w = h + 3; i = s + 13. If t = 14, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 19 to d, which gives d = w + 33.\n2. Substitute w = h + 3 to d, which gives d = h + 36.\n3. Substitute h = i + 5 to d, which gives d = i + 41.\n4. Substitute i = s + 13 to d, which gives d = s + 54.\n5. Substitute s = t + 12 to d, which gives d = t + 66.\n6. Substitute t = 14 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 1910,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 14; e = p + 11; n = z + 6; r = w + 19; k = n + 9; z = e + 19; d = r + 14; t = 14; s = t + 12; h = i + 5; b = k + 5; w = h + 3; i = s + 13. If t = 14, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 11", "x": "f + 2", "z": "x + 15", "w": "z + 11", "p": "w + 7", "u": "p + 15", "e": "l + 18", "b": "e + 19", "m": "b + 11", "a": "m + 9", "c": "a + 17", "y": "c + 12", "l": 17}, "premises": {"l": 17}, "target": "u"}, "answer": {"steps": [["p", "w + 7", "w + 22"], ["w", "z + 11", "z + 33"], ["z", "x + 15", "x + 48"], ["x", "f + 2", "f + 50"], ["f", "l + 11", "l + 61"], ["l", 17, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"l": 17}, "is_reverse": true}}
| 1,911
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 15; m = b + 11; f = l + 11; l = 17; b = e + 19; y = c + 12; e = l + 18; x = f + 2; u = p + 15; a = m + 9; w = z + 11; c = a + 17; p = w + 7. If l = 17, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 7 to u, which gives u = w + 22.\n2. Substitute w = z + 11 to u, which gives u = z + 33.\n3. Substitute z = x + 15 to u, which gives u = x + 48.\n4. Substitute x = f + 2 to u, which gives u = f + 50.\n5. Substitute f = l + 11 to u, which gives u = l + 61.\n6. Substitute l = 17 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 1911,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 15; m = b + 11; f = l + 11; l = 17; b = e + 19; y = c + 12; e = l + 18; x = f + 2; u = p + 15; a = m + 9; w = z + 11; c = a + 17; p = w + 7. If l = 17, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 12", "u": "b + 6", "z": "u + 10", "l": "z + 13", "i": "l + 4", "n": "i + 9", "v": "m + 15", "d": "v + 1", "y": "d + 12", "r": "y + 4", "j": "r + 11", "x": "j + 5", "m": 12}, "premises": {"m": 12}, "target": "n"}, "answer": {"steps": [["i", "l + 4", "l + 13"], ["l", "z + 13", "z + 26"], ["z", "u + 10", "u + 36"], ["u", "b + 6", "b + 42"], ["b", "m + 12", "m + 54"], ["m", 12, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"m": 12}, "is_reverse": true}}
| 1,912
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 13; u = b + 6; j = r + 11; b = m + 12; v = m + 15; i = l + 4; r = y + 4; n = i + 9; y = d + 12; x = j + 5; d = v + 1; m = 12; z = u + 10. Given that m = 12, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 4 to n, which gives n = l + 13.\n2. Substitute l = z + 13 to n, which gives n = z + 26.\n3. Substitute z = u + 10 to n, which gives n = u + 36.\n4. Substitute u = b + 6 to n, which gives n = b + 42.\n5. Substitute b = m + 12 to n, which gives n = m + 54.\n6. Substitute m = 12 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 1912,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 13; u = b + 6; j = r + 11; b = m + 12; v = m + 15; i = l + 4; r = y + 4; n = i + 9; y = d + 12; x = j + 5; d = v + 1; m = 12; z = u + 10. Given that m = 12, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 5", "d": "o + 14", "y": "d + 7", "s": "y + 5", "f": "s + 20", "l": "f + 11", "a": "u + 15", "h": "a + 14", "b": "h + 4", "i": "b + 3", "t": "i + 1", "w": "t + 10", "u": 13}, "premises": {"u": 13}, "target": "l"}, "answer": {"steps": [["f", "s + 20", "s + 31"], ["s", "y + 5", "y + 36"], ["y", "d + 7", "d + 43"], ["d", "o + 14", "o + 57"], ["o", "u + 5", "u + 62"], ["u", 13, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"u": 13}, "is_reverse": true}}
| 1,913
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 14; y = d + 7; o = u + 5; i = b + 3; t = i + 1; l = f + 11; b = h + 4; w = t + 10; u = 13; h = a + 14; f = s + 20; s = y + 5; a = u + 15. If u = 13, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 20 to l, which gives l = s + 31.\n2. Substitute s = y + 5 to l, which gives l = y + 36.\n3. Substitute y = d + 7 to l, which gives l = d + 43.\n4. Substitute d = o + 14 to l, which gives l = o + 57.\n5. Substitute o = u + 5 to l, which gives l = u + 62.\n6. Substitute u = 13 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 1913,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 14; y = d + 7; o = u + 5; i = b + 3; t = i + 1; l = f + 11; b = h + 4; w = t + 10; u = 13; h = a + 14; f = s + 20; s = y + 5; a = u + 15. If u = 13, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 1", "k": "w + 17", "r": "k + 9", "h": "r + 17", "m": "h + 18", "a": "m + 13", "i": "p + 20", "f": "i + 14", "l": "f + 8", "b": "l + 15", "c": "b + 1", "v": "c + 12", "p": 5}, "premises": {"p": 5}, "target": "a"}, "answer": {"steps": [["m", "h + 18", "h + 31"], ["h", "r + 17", "r + 48"], ["r", "k + 9", "k + 57"], ["k", "w + 17", "w + 74"], ["w", "p + 1", "p + 75"], ["p", 5, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"p": 5}, "is_reverse": true}}
| 1,914
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 17; a = m + 13; w = p + 1; c = b + 1; b = l + 15; k = w + 17; p = 5; r = k + 9; l = f + 8; v = c + 12; i = p + 20; m = h + 18; f = i + 14. If p = 5, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 18 to a, which gives a = h + 31.\n2. Substitute h = r + 17 to a, which gives a = r + 48.\n3. Substitute r = k + 9 to a, which gives a = k + 57.\n4. Substitute k = w + 17 to a, which gives a = w + 74.\n5. Substitute w = p + 1 to a, which gives a = p + 75.\n6. Substitute p = 5 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 1914,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 17; a = m + 13; w = p + 1; c = b + 1; b = l + 15; k = w + 17; p = 5; r = k + 9; l = f + 8; v = c + 12; i = p + 20; m = h + 18; f = i + 14. If p = 5, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 1", "x": "b + 4", "a": "x + 2", "g": "a + 1", "y": "g + 3", "z": "y + 2", "f": "l + 3", "r": "f + 17", "t": "r + 9", "c": "t + 3", "v": "c + 4", "d": "v + 15", "l": 20}, "premises": {"l": 20}, "target": "z"}, "answer": {"steps": [["y", "g + 3", "g + 5"], ["g", "a + 1", "a + 6"], ["a", "x + 2", "x + 8"], ["x", "b + 4", "b + 12"], ["b", "l + 1", "l + 13"], ["l", 20, "33"]], "target_var_name": "z", "target_value": 33, "value_dict": {"l": 20}, "is_reverse": true}}
| 1,915
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 4; t = r + 9; y = g + 3; z = y + 2; x = b + 4; r = f + 17; g = a + 1; f = l + 3; d = v + 15; l = 20; c = t + 3; b = l + 1; a = x + 2. Given that l = 20, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 3 to z, which gives z = g + 5.\n2. Substitute g = a + 1 to z, which gives z = a + 6.\n3. Substitute a = x + 2 to z, which gives z = x + 8.\n4. Substitute x = b + 4 to z, which gives z = b + 12.\n5. Substitute b = l + 1 to z, which gives z = l + 13.\n6. Substitute l = 20 to z, which gives z = 33.\n\nThus, the final answer is z = \\boxed{33}.",
"index": 1915,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 4; t = r + 9; y = g + 3; z = y + 2; x = b + 4; r = f + 17; g = a + 1; f = l + 3; d = v + 15; l = 20; c = t + 3; b = l + 1; a = x + 2. Given that l = 20, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 20", "x": "s + 8", "y": "x + 12", "t": "y + 11", "h": "t + 16", "q": "h + 19", "k": "z + 4", "u": "k + 12", "e": "u + 16", "d": "e + 10", "b": "d + 20", "a": "b + 19", "z": 6}, "premises": {"z": 6}, "target": "q"}, "answer": {"steps": [["h", "t + 16", "t + 35"], ["t", "y + 11", "y + 46"], ["y", "x + 12", "x + 58"], ["x", "s + 8", "s + 66"], ["s", "z + 20", "z + 86"], ["z", 6, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"z": 6}, "is_reverse": true}}
| 1,916
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 12; t = y + 11; z = 6; b = d + 20; x = s + 8; e = u + 16; d = e + 10; y = x + 12; q = h + 19; a = b + 19; h = t + 16; s = z + 20; k = z + 4. If z = 6, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 16 to q, which gives q = t + 35.\n2. Substitute t = y + 11 to q, which gives q = y + 46.\n3. Substitute y = x + 12 to q, which gives q = x + 58.\n4. Substitute x = s + 8 to q, which gives q = s + 66.\n5. Substitute s = z + 20 to q, which gives q = z + 86.\n6. Substitute z = 6 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 1916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 12; t = y + 11; z = 6; b = d + 20; x = s + 8; e = u + 16; d = e + 10; y = x + 12; q = h + 19; a = b + 19; h = t + 16; s = z + 20; k = z + 4. If z = 6, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 10", "i": "p + 2", "o": "i + 19", "r": "o + 12", "g": "r + 11", "k": "g + 17", "c": "y + 8", "v": "c + 13", "q": "v + 15", "m": "q + 13", "t": "m + 7", "h": "t + 3", "y": 6}, "premises": {"y": 6}, "target": "k"}, "answer": {"steps": [["g", "r + 11", "r + 28"], ["r", "o + 12", "o + 40"], ["o", "i + 19", "i + 59"], ["i", "p + 2", "p + 61"], ["p", "y + 10", "y + 71"], ["y", 6, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"y": 6}, "is_reverse": true}}
| 1,917
| 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 + 3; t = m + 7; m = q + 13; o = i + 19; g = r + 11; p = y + 10; r = o + 12; q = v + 15; c = y + 8; i = p + 2; y = 6; k = g + 17; v = c + 13. If y = 6, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 11 to k, which gives k = r + 28.\n2. Substitute r = o + 12 to k, which gives k = o + 40.\n3. Substitute o = i + 19 to k, which gives k = i + 59.\n4. Substitute i = p + 2 to k, which gives k = p + 61.\n5. Substitute p = y + 10 to k, which gives k = y + 71.\n6. Substitute y = 6 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 1917,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 3; t = m + 7; m = q + 13; o = i + 19; g = r + 11; p = y + 10; r = o + 12; q = v + 15; c = y + 8; i = p + 2; y = 6; k = g + 17; v = c + 13. If y = 6, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 9", "x": "g + 9", "n": "x + 19", "r": "n + 11", "m": "r + 19", "a": "m + 5", "i": "d + 10", "b": "i + 2", "u": "b + 19", "t": "u + 20", "z": "t + 9", "j": "z + 2", "d": 19}, "premises": {"d": 19}, "target": "a"}, "answer": {"steps": [["m", "r + 19", "r + 24"], ["r", "n + 11", "n + 35"], ["n", "x + 19", "x + 54"], ["x", "g + 9", "g + 63"], ["g", "d + 9", "d + 72"], ["d", 19, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"d": 19}, "is_reverse": true}}
| 1,918
| 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 = b + 19; z = t + 9; t = u + 20; a = m + 5; b = i + 2; g = d + 9; m = r + 19; d = 19; n = x + 19; x = g + 9; i = d + 10; r = n + 11; j = z + 2. If d = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 19 to a, which gives a = r + 24.\n2. Substitute r = n + 11 to a, which gives a = n + 35.\n3. Substitute n = x + 19 to a, which gives a = x + 54.\n4. Substitute x = g + 9 to a, which gives a = g + 63.\n5. Substitute g = d + 9 to a, which gives a = d + 72.\n6. Substitute d = 19 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 1918,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 19; z = t + 9; t = u + 20; a = m + 5; b = i + 2; g = d + 9; m = r + 19; d = 19; n = x + 19; x = g + 9; i = d + 10; r = n + 11; j = z + 2. If d = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 3", "t": "i + 13", "a": "t + 12", "n": "a + 20", "v": "n + 19", "h": "v + 17", "x": "j + 20", "z": "x + 18", "o": "z + 1", "b": "o + 9", "g": "b + 3", "u": "g + 14", "j": 14}, "premises": {"j": 14}, "target": "h"}, "answer": {"steps": [["v", "n + 19", "n + 36"], ["n", "a + 20", "a + 56"], ["a", "t + 12", "t + 68"], ["t", "i + 13", "i + 81"], ["i", "j + 3", "j + 84"], ["j", 14, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"j": 14}, "is_reverse": true}}
| 1,919
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 1; t = i + 13; n = a + 20; x = j + 20; b = o + 9; h = v + 17; v = n + 19; u = g + 14; z = x + 18; j = 14; g = b + 3; a = t + 12; i = j + 3. Given that j = 14, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 19 to h, which gives h = n + 36.\n2. Substitute n = a + 20 to h, which gives h = a + 56.\n3. Substitute a = t + 12 to h, which gives h = t + 68.\n4. Substitute t = i + 13 to h, which gives h = i + 81.\n5. Substitute i = j + 3 to h, which gives h = j + 84.\n6. Substitute j = 14 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 1919,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 1; t = i + 13; n = a + 20; x = j + 20; b = o + 9; h = v + 17; v = n + 19; u = g + 14; z = x + 18; j = 14; g = b + 3; a = t + 12; i = j + 3. Given that j = 14, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 20", "j": "k + 19", "s": "j + 1", "h": "s + 10", "w": "h + 14", "u": "w + 18", "y": "p + 1", "c": "y + 6", "z": "c + 19", "o": "z + 1", "t": "o + 15", "i": "t + 16", "p": 6}, "premises": {"p": 6}, "target": "u"}, "answer": {"steps": [["w", "h + 14", "h + 32"], ["h", "s + 10", "s + 42"], ["s", "j + 1", "j + 43"], ["j", "k + 19", "k + 62"], ["k", "p + 20", "p + 82"], ["p", 6, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"p": 6}, "is_reverse": true}}
| 1,920
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 1; h = s + 10; z = c + 19; y = p + 1; c = y + 6; w = h + 14; t = o + 15; p = 6; i = t + 16; j = k + 19; s = j + 1; k = p + 20; u = w + 18. Given that p = 6, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 14 to u, which gives u = h + 32.\n2. Substitute h = s + 10 to u, which gives u = s + 42.\n3. Substitute s = j + 1 to u, which gives u = j + 43.\n4. Substitute j = k + 19 to u, which gives u = k + 62.\n5. Substitute k = p + 20 to u, which gives u = p + 82.\n6. Substitute p = 6 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 1920,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 1; h = s + 10; z = c + 19; y = p + 1; c = y + 6; w = h + 14; t = o + 15; p = 6; i = t + 16; j = k + 19; s = j + 1; k = p + 20; u = w + 18. Given that p = 6, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"t": "a + 12", "l": "t + 11", "k": "l + 12", "j": "k + 10", "x": "j + 19", "u": "x + 14", "y": "a + 18", "e": "y + 1", "c": "e + 5", "n": "c + 12", "v": "n + 13", "p": "v + 19", "a": 18}, "premises": {"a": 18}, "target": "u"}, "answer": {"steps": [["x", "j + 19", "j + 33"], ["j", "k + 10", "k + 43"], ["k", "l + 12", "l + 55"], ["l", "t + 11", "t + 66"], ["t", "a + 12", "a + 78"], ["a", 18, "96"]], "target_var_name": "u", "target_value": 96, "value_dict": {"a": 18}, "is_reverse": true}}
| 1,921
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 19; n = c + 12; l = t + 11; t = a + 12; a = 18; p = v + 19; e = y + 1; c = e + 5; j = k + 10; u = x + 14; v = n + 13; k = l + 12; y = a + 18. If a = 18, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 19 to u, which gives u = j + 33.\n2. Substitute j = k + 10 to u, which gives u = k + 43.\n3. Substitute k = l + 12 to u, which gives u = l + 55.\n4. Substitute l = t + 11 to u, which gives u = t + 66.\n5. Substitute t = a + 12 to u, which gives u = a + 78.\n6. Substitute a = 18 to u, which gives u = 96.\n\nThus, the final answer is u = \\boxed{96}.",
"index": 1921,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 19; n = c + 12; l = t + 11; t = a + 12; a = 18; p = v + 19; e = y + 1; c = e + 5; j = k + 10; u = x + 14; v = n + 13; k = l + 12; y = a + 18. If a = 18, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 19", "n": "l + 5", "t": "n + 20", "m": "t + 4", "w": "m + 5", "b": "w + 16", "e": "g + 7", "p": "e + 5", "v": "p + 16", "s": "v + 18", "q": "s + 6", "c": "q + 12", "g": 19}, "premises": {"g": 19}, "target": "b"}, "answer": {"steps": [["w", "m + 5", "m + 21"], ["m", "t + 4", "t + 25"], ["t", "n + 20", "n + 45"], ["n", "l + 5", "l + 50"], ["l", "g + 19", "g + 69"], ["g", 19, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"g": 19}, "is_reverse": true}}
| 1,922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 5; b = w + 16; e = g + 7; m = t + 4; s = v + 18; w = m + 5; n = l + 5; g = 19; l = g + 19; t = n + 20; c = q + 12; v = p + 16; q = s + 6. Given that g = 19, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 5 to b, which gives b = m + 21.\n2. Substitute m = t + 4 to b, which gives b = t + 25.\n3. Substitute t = n + 20 to b, which gives b = n + 45.\n4. Substitute n = l + 5 to b, which gives b = l + 50.\n5. Substitute l = g + 19 to b, which gives b = g + 69.\n6. Substitute g = 19 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 1922,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 5; b = w + 16; e = g + 7; m = t + 4; s = v + 18; w = m + 5; n = l + 5; g = 19; l = g + 19; t = n + 20; c = q + 12; v = p + 16; q = s + 6. Given that g = 19, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "p + 7", "j": "f + 1", "l": "j + 16", "a": "l + 14", "g": "a + 4", "e": "g + 10", "o": "p + 4", "t": "o + 17", "i": "t + 8", "b": "i + 15", "k": "b + 2", "q": "k + 9", "p": 14}, "premises": {"p": 14}, "target": "e"}, "answer": {"steps": [["g", "a + 4", "a + 14"], ["a", "l + 14", "l + 28"], ["l", "j + 16", "j + 44"], ["j", "f + 1", "f + 45"], ["f", "p + 7", "p + 52"], ["p", 14, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"p": 14}, "is_reverse": true}}
| 1,923
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 4; f = p + 7; i = t + 8; l = j + 16; o = p + 4; q = k + 9; k = b + 2; b = i + 15; t = o + 17; j = f + 1; a = l + 14; e = g + 10; p = 14. Given that p = 14, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 4 to e, which gives e = a + 14.\n2. Substitute a = l + 14 to e, which gives e = l + 28.\n3. Substitute l = j + 16 to e, which gives e = j + 44.\n4. Substitute j = f + 1 to e, which gives e = f + 45.\n5. Substitute f = p + 7 to e, which gives e = p + 52.\n6. Substitute p = 14 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 1923,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 4; f = p + 7; i = t + 8; l = j + 16; o = p + 4; q = k + 9; k = b + 2; b = i + 15; t = o + 17; j = f + 1; a = l + 14; e = g + 10; p = 14. Given that p = 14, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 5", "z": "a + 17", "e": "z + 19", "r": "e + 14", "b": "r + 8", "p": "b + 20", "d": "v + 8", "u": "d + 11", "j": "u + 17", "w": "j + 10", "k": "w + 7", "y": "k + 1", "v": 11}, "premises": {"v": 11}, "target": "p"}, "answer": {"steps": [["b", "r + 8", "r + 28"], ["r", "e + 14", "e + 42"], ["e", "z + 19", "z + 61"], ["z", "a + 17", "a + 78"], ["a", "v + 5", "v + 83"], ["v", 11, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"v": 11}, "is_reverse": true}}
| 1,924
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 14; y = k + 1; v = 11; e = z + 19; z = a + 17; w = j + 10; j = u + 17; a = v + 5; b = r + 8; k = w + 7; p = b + 20; d = v + 8; u = d + 11. Given that v = 11, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 8 to p, which gives p = r + 28.\n2. Substitute r = e + 14 to p, which gives p = e + 42.\n3. Substitute e = z + 19 to p, which gives p = z + 61.\n4. Substitute z = a + 17 to p, which gives p = a + 78.\n5. Substitute a = v + 5 to p, which gives p = v + 83.\n6. Substitute v = 11 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 1924,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 14; y = k + 1; v = 11; e = z + 19; z = a + 17; w = j + 10; j = u + 17; a = v + 5; b = r + 8; k = w + 7; p = b + 20; d = v + 8; u = d + 11. Given that v = 11, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 11", "e": "j + 16", "x": "e + 7", "c": "x + 10", "i": "c + 3", "d": "i + 11", "f": "a + 3", "h": "f + 1", "z": "h + 1", "u": "z + 4", "v": "u + 6", "m": "v + 18", "a": 5}, "premises": {"a": 5}, "target": "d"}, "answer": {"steps": [["i", "c + 3", "c + 14"], ["c", "x + 10", "x + 24"], ["x", "e + 7", "e + 31"], ["e", "j + 16", "j + 47"], ["j", "a + 11", "a + 58"], ["a", 5, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"a": 5}, "is_reverse": true}}
| 1,925
| 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 = v + 18; v = u + 6; x = e + 7; j = a + 11; u = z + 4; z = h + 1; f = a + 3; d = i + 11; c = x + 10; i = c + 3; e = j + 16; a = 5; h = f + 1. If a = 5, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 3 to d, which gives d = c + 14.\n2. Substitute c = x + 10 to d, which gives d = x + 24.\n3. Substitute x = e + 7 to d, which gives d = e + 31.\n4. Substitute e = j + 16 to d, which gives d = j + 47.\n5. Substitute j = a + 11 to d, which gives d = a + 58.\n6. Substitute a = 5 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 1925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 18; v = u + 6; x = e + 7; j = a + 11; u = z + 4; z = h + 1; f = a + 3; d = i + 11; c = x + 10; i = c + 3; e = j + 16; a = 5; h = f + 1. If a = 5, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 20", "k": "w + 9", "q": "k + 13", "c": "q + 8", "i": "c + 9", "g": "i + 5", "p": "a + 13", "l": "p + 1", "j": "l + 19", "x": "j + 6", "u": "x + 1", "m": "u + 7", "a": 4}, "premises": {"a": 4}, "target": "g"}, "answer": {"steps": [["i", "c + 9", "c + 14"], ["c", "q + 8", "q + 22"], ["q", "k + 13", "k + 35"], ["k", "w + 9", "w + 44"], ["w", "a + 20", "a + 64"], ["a", 4, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,926
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 5; i = c + 9; q = k + 13; p = a + 13; m = u + 7; k = w + 9; w = a + 20; x = j + 6; c = q + 8; a = 4; u = x + 1; j = l + 19; l = p + 1. If a = 4, determine the 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 = c + 9 to g, which gives g = c + 14.\n2. Substitute c = q + 8 to g, which gives g = q + 22.\n3. Substitute q = k + 13 to g, which gives g = k + 35.\n4. Substitute k = w + 9 to g, which gives g = w + 44.\n5. Substitute w = a + 20 to g, which gives g = a + 64.\n6. Substitute a = 4 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 1926,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 5; i = c + 9; q = k + 13; p = a + 13; m = u + 7; k = w + 9; w = a + 20; x = j + 6; c = q + 8; a = 4; u = x + 1; j = l + 19; l = p + 1. If a = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 7", "f": "h + 4", "p": "f + 5", "n": "p + 9", "d": "n + 19", "i": "d + 8", "j": "t + 20", "z": "j + 16", "e": "z + 18", "w": "e + 20", "q": "w + 6", "a": "q + 11", "t": 2}, "premises": {"t": 2}, "target": "i"}, "answer": {"steps": [["d", "n + 19", "n + 27"], ["n", "p + 9", "p + 36"], ["p", "f + 5", "f + 41"], ["f", "h + 4", "h + 45"], ["h", "t + 7", "t + 52"], ["t", 2, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"t": 2}, "is_reverse": true}}
| 1,927
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 20; j = t + 20; q = w + 6; t = 2; h = t + 7; z = j + 16; i = d + 8; d = n + 19; f = h + 4; p = f + 5; n = p + 9; e = z + 18; a = q + 11. If t = 2, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 19 to i, which gives i = n + 27.\n2. Substitute n = p + 9 to i, which gives i = p + 36.\n3. Substitute p = f + 5 to i, which gives i = f + 41.\n4. Substitute f = h + 4 to i, which gives i = h + 45.\n5. Substitute h = t + 7 to i, which gives i = t + 52.\n6. Substitute t = 2 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 1927,
"question": "Consider a system of variables where each variable is defined as follows: w = e + 20; j = t + 20; q = w + 6; t = 2; h = t + 7; z = j + 16; i = d + 8; d = n + 19; f = h + 4; p = f + 5; n = p + 9; e = z + 18; a = q + 11. If t = 2, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 15", "v": "g + 8", "e": "v + 14", "b": "e + 14", "n": "b + 13", "h": "n + 5", "d": "w + 5", "p": "d + 16", "u": "p + 20", "q": "u + 19", "j": "q + 16", "t": "j + 10", "w": 17}, "premises": {"w": 17}, "target": "h"}, "answer": {"steps": [["n", "b + 13", "b + 18"], ["b", "e + 14", "e + 32"], ["e", "v + 14", "v + 46"], ["v", "g + 8", "g + 54"], ["g", "w + 15", "w + 69"], ["w", 17, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"w": 17}, "is_reverse": true}}
| 1,928
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 19; h = n + 5; p = d + 16; g = w + 15; d = w + 5; b = e + 14; v = g + 8; j = q + 16; w = 17; u = p + 20; e = v + 14; t = j + 10; n = b + 13. Given that w = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 13 to h, which gives h = b + 18.\n2. Substitute b = e + 14 to h, which gives h = e + 32.\n3. Substitute e = v + 14 to h, which gives h = v + 46.\n4. Substitute v = g + 8 to h, which gives h = g + 54.\n5. Substitute g = w + 15 to h, which gives h = w + 69.\n6. Substitute w = 17 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 1928,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 19; h = n + 5; p = d + 16; g = w + 15; d = w + 5; b = e + 14; v = g + 8; j = q + 16; w = 17; u = p + 20; e = v + 14; t = j + 10; n = b + 13. Given that w = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 19", "u": "h + 16", "j": "u + 7", "k": "j + 5", "t": "k + 12", "d": "t + 2", "a": "g + 10", "n": "a + 2", "b": "n + 17", "s": "b + 18", "q": "s + 17", "i": "q + 13", "g": 3}, "premises": {"g": 3}, "target": "d"}, "answer": {"steps": [["t", "k + 12", "k + 14"], ["k", "j + 5", "j + 19"], ["j", "u + 7", "u + 26"], ["u", "h + 16", "h + 42"], ["h", "g + 19", "g + 61"], ["g", 3, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"g": 3}, "is_reverse": true}}
| 1,929
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 17; g = 3; i = q + 13; j = u + 7; n = a + 2; s = b + 18; k = j + 5; d = t + 2; t = k + 12; h = g + 19; q = s + 17; u = h + 16; a = g + 10. Given that g = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 12 to d, which gives d = k + 14.\n2. Substitute k = j + 5 to d, which gives d = j + 19.\n3. Substitute j = u + 7 to d, which gives d = u + 26.\n4. Substitute u = h + 16 to d, which gives d = h + 42.\n5. Substitute h = g + 19 to d, which gives d = g + 61.\n6. Substitute g = 3 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 1929,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 17; g = 3; i = q + 13; j = u + 7; n = a + 2; s = b + 18; k = j + 5; d = t + 2; t = k + 12; h = g + 19; q = s + 17; u = h + 16; a = g + 10. Given that g = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 8", "w": "o + 11", "s": "w + 1", "u": "s + 15", "k": "u + 6", "m": "k + 12", "x": "t + 1", "f": "x + 13", "z": "f + 19", "b": "z + 16", "c": "b + 18", "i": "c + 11", "t": 2}, "premises": {"t": 2}, "target": "m"}, "answer": {"steps": [["k", "u + 6", "u + 18"], ["u", "s + 15", "s + 33"], ["s", "w + 1", "w + 34"], ["w", "o + 11", "o + 45"], ["o", "t + 8", "t + 53"], ["t", 2, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"t": 2}, "is_reverse": true}}
| 1,930
| 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 = 2; c = b + 18; o = t + 8; b = z + 16; k = u + 6; w = o + 11; f = x + 13; s = w + 1; u = s + 15; i = c + 11; z = f + 19; x = t + 1; m = k + 12. If t = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 6 to m, which gives m = u + 18.\n2. Substitute u = s + 15 to m, which gives m = s + 33.\n3. Substitute s = w + 1 to m, which gives m = w + 34.\n4. Substitute w = o + 11 to m, which gives m = o + 45.\n5. Substitute o = t + 8 to m, which gives m = t + 53.\n6. Substitute t = 2 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 1930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 2; c = b + 18; o = t + 8; b = z + 16; k = u + 6; w = o + 11; f = x + 13; s = w + 1; u = s + 15; i = c + 11; z = f + 19; x = t + 1; m = k + 12. If t = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 4", "h": "w + 6", "i": "h + 14", "d": "i + 9", "t": "d + 19", "q": "t + 6", "z": "u + 5", "a": "z + 3", "r": "a + 6", "g": "r + 2", "o": "g + 13", "b": "o + 6", "u": 18}, "premises": {"u": 18}, "target": "q"}, "answer": {"steps": [["t", "d + 19", "d + 25"], ["d", "i + 9", "i + 34"], ["i", "h + 14", "h + 48"], ["h", "w + 6", "w + 54"], ["w", "u + 4", "u + 58"], ["u", 18, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"u": 18}, "is_reverse": true}}
| 1,931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 3; b = o + 6; g = r + 2; h = w + 6; w = u + 4; d = i + 9; r = a + 6; u = 18; t = d + 19; o = g + 13; z = u + 5; q = t + 6; i = h + 14. If u = 18, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 19 to q, which gives q = d + 25.\n2. Substitute d = i + 9 to q, which gives q = i + 34.\n3. Substitute i = h + 14 to q, which gives q = h + 48.\n4. Substitute h = w + 6 to q, which gives q = w + 54.\n5. Substitute w = u + 4 to q, which gives q = u + 58.\n6. Substitute u = 18 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 1931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 3; b = o + 6; g = r + 2; h = w + 6; w = u + 4; d = i + 9; r = a + 6; u = 18; t = d + 19; o = g + 13; z = u + 5; q = t + 6; i = h + 14. If u = 18, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 3", "q": "m + 17", "w": "q + 3", "l": "w + 10", "a": "l + 5", "s": "a + 15", "k": "u + 17", "y": "k + 19", "p": "y + 11", "c": "p + 16", "h": "c + 20", "v": "h + 15", "u": 18}, "premises": {"u": 18}, "target": "s"}, "answer": {"steps": [["a", "l + 5", "l + 20"], ["l", "w + 10", "w + 30"], ["w", "q + 3", "q + 33"], ["q", "m + 17", "m + 50"], ["m", "u + 3", "u + 53"], ["u", 18, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"u": 18}, "is_reverse": true}}
| 1,932
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 17; u = 18; a = l + 5; w = q + 3; l = w + 10; h = c + 20; s = a + 15; c = p + 16; v = h + 15; m = u + 3; y = k + 19; q = m + 17; p = y + 11. If u = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 5 to s, which gives s = l + 20.\n2. Substitute l = w + 10 to s, which gives s = w + 30.\n3. Substitute w = q + 3 to s, which gives s = q + 33.\n4. Substitute q = m + 17 to s, which gives s = m + 50.\n5. Substitute m = u + 3 to s, which gives s = u + 53.\n6. Substitute u = 18 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 1932,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 17; u = 18; a = l + 5; w = q + 3; l = w + 10; h = c + 20; s = a + 15; c = p + 16; v = h + 15; m = u + 3; y = k + 19; q = m + 17; p = y + 11. If u = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 10", "a": "y + 14", "t": "a + 13", "w": "t + 18", "v": "w + 13", "h": "v + 3", "b": "n + 3", "p": "b + 10", "s": "p + 4", "l": "s + 9", "q": "l + 6", "f": "q + 2", "n": 11}, "premises": {"n": 11}, "target": "h"}, "answer": {"steps": [["v", "w + 13", "w + 16"], ["w", "t + 18", "t + 34"], ["t", "a + 13", "a + 47"], ["a", "y + 14", "y + 61"], ["y", "n + 10", "n + 71"], ["n", 11, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"n": 11}, "is_reverse": true}}
| 1,933
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 14; h = v + 3; b = n + 3; p = b + 10; y = n + 10; v = w + 13; f = q + 2; l = s + 9; n = 11; t = a + 13; w = t + 18; q = l + 6; s = p + 4. Given that n = 11, find 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 = w + 13 to h, which gives h = w + 16.\n2. Substitute w = t + 18 to h, which gives h = t + 34.\n3. Substitute t = a + 13 to h, which gives h = a + 47.\n4. Substitute a = y + 14 to h, which gives h = y + 61.\n5. Substitute y = n + 10 to h, which gives h = n + 71.\n6. Substitute n = 11 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 1933,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 14; h = v + 3; b = n + 3; p = b + 10; y = n + 10; v = w + 13; f = q + 2; l = s + 9; n = 11; t = a + 13; w = t + 18; q = l + 6; s = p + 4. Given that n = 11, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 10", "v": "x + 11", "a": "v + 7", "r": "a + 1", "q": "r + 2", "i": "q + 8", "o": "t + 9", "y": "o + 4", "f": "y + 15", "e": "f + 13", "s": "e + 2", "j": "s + 5", "t": 11}, "premises": {"t": 11}, "target": "i"}, "answer": {"steps": [["q", "r + 2", "r + 10"], ["r", "a + 1", "a + 11"], ["a", "v + 7", "v + 18"], ["v", "x + 11", "x + 29"], ["x", "t + 10", "t + 39"], ["t", 11, "50"]], "target_var_name": "i", "target_value": 50, "value_dict": {"t": 11}, "is_reverse": true}}
| 1,934
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 2; t = 11; v = x + 11; x = t + 10; a = v + 7; o = t + 9; r = a + 1; j = s + 5; i = q + 8; e = f + 13; s = e + 2; f = y + 15; y = o + 4. If t = 11, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 2 to i, which gives i = r + 10.\n2. Substitute r = a + 1 to i, which gives i = a + 11.\n3. Substitute a = v + 7 to i, which gives i = v + 18.\n4. Substitute v = x + 11 to i, which gives i = x + 29.\n5. Substitute x = t + 10 to i, which gives i = t + 39.\n6. Substitute t = 11 to i, which gives i = 50.\n\nThus, the final answer is i = \\boxed{50}.",
"index": 1934,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 2; t = 11; v = x + 11; x = t + 10; a = v + 7; o = t + 9; r = a + 1; j = s + 5; i = q + 8; e = f + 13; s = e + 2; f = y + 15; y = o + 4. If t = 11, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 1", "y": "a + 6", "o": "y + 4", "d": "o + 17", "q": "d + 14", "u": "q + 3", "f": "e + 6", "n": "f + 2", "h": "n + 7", "z": "h + 11", "x": "z + 16", "g": "x + 8", "e": 12}, "premises": {"e": 12}, "target": "u"}, "answer": {"steps": [["q", "d + 14", "d + 17"], ["d", "o + 17", "o + 34"], ["o", "y + 4", "y + 38"], ["y", "a + 6", "a + 44"], ["a", "e + 1", "e + 45"], ["e", 12, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"e": 12}, "is_reverse": true}}
| 1,935
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 4; q = d + 14; z = h + 11; x = z + 16; e = 12; n = f + 2; y = a + 6; a = e + 1; d = o + 17; h = n + 7; f = e + 6; u = q + 3; g = x + 8. If e = 12, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 14 to u, which gives u = d + 17.\n2. Substitute d = o + 17 to u, which gives u = o + 34.\n3. Substitute o = y + 4 to u, which gives u = y + 38.\n4. Substitute y = a + 6 to u, which gives u = a + 44.\n5. Substitute a = e + 1 to u, which gives u = e + 45.\n6. Substitute e = 12 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 1935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 4; q = d + 14; z = h + 11; x = z + 16; e = 12; n = f + 2; y = a + 6; a = e + 1; d = o + 17; h = n + 7; f = e + 6; u = q + 3; g = x + 8. If e = 12, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "t + 7", "l": "k + 6", "w": "l + 4", "o": "w + 19", "h": "o + 4", "v": "h + 10", "b": "t + 6", "c": "b + 7", "i": "c + 18", "p": "i + 8", "q": "p + 3", "n": "q + 4", "t": 20}, "premises": {"t": 20}, "target": "v"}, "answer": {"steps": [["h", "o + 4", "o + 14"], ["o", "w + 19", "w + 33"], ["w", "l + 4", "l + 37"], ["l", "k + 6", "k + 43"], ["k", "t + 7", "t + 50"], ["t", 20, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"t": 20}, "is_reverse": true}}
| 1,936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 4; w = l + 4; t = 20; k = t + 7; c = b + 7; b = t + 6; i = c + 18; n = q + 4; o = w + 19; l = k + 6; p = i + 8; q = p + 3; v = h + 10. If t = 20, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 4 to v, which gives v = o + 14.\n2. Substitute o = w + 19 to v, which gives v = w + 33.\n3. Substitute w = l + 4 to v, which gives v = l + 37.\n4. Substitute l = k + 6 to v, which gives v = k + 43.\n5. Substitute k = t + 7 to v, which gives v = t + 50.\n6. Substitute t = 20 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 1936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 4; w = l + 4; t = 20; k = t + 7; c = b + 7; b = t + 6; i = c + 18; n = q + 4; o = w + 19; l = k + 6; p = i + 8; q = p + 3; v = h + 10. If t = 20, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 1", "i": "b + 5", "y": "i + 12", "q": "y + 1", "j": "q + 20", "w": "j + 7", "c": "a + 13", "m": "c + 18", "x": "m + 16", "l": "x + 4", "r": "l + 12", "o": "r + 13", "a": 7}, "premises": {"a": 7}, "target": "w"}, "answer": {"steps": [["j", "q + 20", "q + 27"], ["q", "y + 1", "y + 28"], ["y", "i + 12", "i + 40"], ["i", "b + 5", "b + 45"], ["b", "a + 1", "a + 46"], ["a", 7, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"a": 7}, "is_reverse": true}}
| 1,937
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 7; o = r + 13; c = a + 13; q = y + 1; l = x + 4; j = q + 20; i = b + 5; y = i + 12; w = j + 7; b = a + 1; r = l + 12; m = c + 18; x = m + 16. If a = 7, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 20 to w, which gives w = q + 27.\n2. Substitute q = y + 1 to w, which gives w = y + 28.\n3. Substitute y = i + 12 to w, which gives w = i + 40.\n4. Substitute i = b + 5 to w, which gives w = b + 45.\n5. Substitute b = a + 1 to w, which gives w = a + 46.\n6. Substitute a = 7 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 1937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 7; o = r + 13; c = a + 13; q = y + 1; l = x + 4; j = q + 20; i = b + 5; y = i + 12; w = j + 7; b = a + 1; r = l + 12; m = c + 18; x = m + 16. If a = 7, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 1", "x": "j + 3", "e": "x + 7", "r": "e + 7", "f": "r + 2", "l": "f + 7", "z": "w + 16", "n": "z + 2", "q": "n + 10", "o": "q + 13", "d": "o + 11", "i": "d + 4", "w": 10}, "premises": {"w": 10}, "target": "l"}, "answer": {"steps": [["f", "r + 2", "r + 9"], ["r", "e + 7", "e + 16"], ["e", "x + 7", "x + 23"], ["x", "j + 3", "j + 26"], ["j", "w + 1", "w + 27"], ["w", 10, "37"]], "target_var_name": "l", "target_value": 37, "value_dict": {"w": 10}, "is_reverse": true}}
| 1,938
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 2; l = f + 7; d = o + 11; r = e + 7; w = 10; j = w + 1; q = n + 10; i = d + 4; o = q + 13; x = j + 3; z = w + 16; n = z + 2; e = x + 7. Given that w = 10, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 2 to l, which gives l = r + 9.\n2. Substitute r = e + 7 to l, which gives l = e + 16.\n3. Substitute e = x + 7 to l, which gives l = x + 23.\n4. Substitute x = j + 3 to l, which gives l = j + 26.\n5. Substitute j = w + 1 to l, which gives l = w + 27.\n6. Substitute w = 10 to l, which gives l = 37.\n\nThus, the final answer is l = \\boxed{37}.",
"index": 1938,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 2; l = f + 7; d = o + 11; r = e + 7; w = 10; j = w + 1; q = n + 10; i = d + 4; o = q + 13; x = j + 3; z = w + 16; n = z + 2; e = x + 7. Given that w = 10, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 18", "o": "s + 10", "l": "o + 7", "p": "l + 3", "f": "p + 10", "n": "f + 10", "r": "q + 1", "u": "r + 13", "d": "u + 9", "c": "d + 15", "y": "c + 6", "t": "y + 12", "q": 9}, "premises": {"q": 9}, "target": "n"}, "answer": {"steps": [["f", "p + 10", "p + 20"], ["p", "l + 3", "l + 23"], ["l", "o + 7", "o + 30"], ["o", "s + 10", "s + 40"], ["s", "q + 18", "q + 58"], ["q", 9, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"q": 9}, "is_reverse": true}}
| 1,939
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = 9; c = d + 15; d = u + 9; f = p + 10; u = r + 13; r = q + 1; o = s + 10; y = c + 6; n = f + 10; l = o + 7; p = l + 3; s = q + 18; t = y + 12. Given that q = 9, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 10 to n, which gives n = p + 20.\n2. Substitute p = l + 3 to n, which gives n = l + 23.\n3. Substitute l = o + 7 to n, which gives n = o + 30.\n4. Substitute o = s + 10 to n, which gives n = s + 40.\n5. Substitute s = q + 18 to n, which gives n = q + 58.\n6. Substitute q = 9 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 1939,
"question": "Suppose a collection of variables is related by the following definitions: q = 9; c = d + 15; d = u + 9; f = p + 10; u = r + 13; r = q + 1; o = s + 10; y = c + 6; n = f + 10; l = o + 7; p = l + 3; s = q + 18; t = y + 12. Given that q = 9, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 19", "a": "x + 18", "g": "a + 18", "w": "g + 19", "b": "w + 18", "n": "b + 2", "y": "f + 13", "d": "y + 16", "u": "d + 6", "o": "u + 11", "l": "o + 13", "h": "l + 6", "f": 9}, "premises": {"f": 9}, "target": "n"}, "answer": {"steps": [["b", "w + 18", "w + 20"], ["w", "g + 19", "g + 39"], ["g", "a + 18", "a + 57"], ["a", "x + 18", "x + 75"], ["x", "f + 19", "f + 94"], ["f", 9, "103"]], "target_var_name": "n", "target_value": 103, "value_dict": {"f": 9}, "is_reverse": true}}
| 1,940
| 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 = 9; y = f + 13; u = d + 6; o = u + 11; l = o + 13; x = f + 19; g = a + 18; w = g + 19; n = b + 2; b = w + 18; a = x + 18; d = y + 16; h = l + 6. If f = 9, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 18 to n, which gives n = w + 20.\n2. Substitute w = g + 19 to n, which gives n = g + 39.\n3. Substitute g = a + 18 to n, which gives n = a + 57.\n4. Substitute a = x + 18 to n, which gives n = x + 75.\n5. Substitute x = f + 19 to n, which gives n = f + 94.\n6. Substitute f = 9 to n, which gives n = 103.\n\nThus, the final answer is n = \\boxed{103}.",
"index": 1940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 9; y = f + 13; u = d + 6; o = u + 11; l = o + 13; x = f + 19; g = a + 18; w = g + 19; n = b + 2; b = w + 18; a = x + 18; d = y + 16; h = l + 6. If f = 9, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 13", "z": "v + 11", "g": "z + 17", "k": "g + 1", "m": "k + 19", "s": "m + 20", "i": "f + 13", "n": "i + 16", "x": "n + 12", "r": "x + 12", "a": "r + 17", "j": "a + 3", "f": 12}, "premises": {"f": 12}, "target": "s"}, "answer": {"steps": [["m", "k + 19", "k + 39"], ["k", "g + 1", "g + 40"], ["g", "z + 17", "z + 57"], ["z", "v + 11", "v + 68"], ["v", "f + 13", "f + 81"], ["f", 12, "93"]], "target_var_name": "s", "target_value": 93, "value_dict": {"f": 12}, "is_reverse": true}}
| 1,941
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = v + 11; r = x + 12; g = z + 17; j = a + 3; x = n + 12; v = f + 13; k = g + 1; m = k + 19; s = m + 20; i = f + 13; f = 12; n = i + 16; a = r + 17. If f = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 19 to s, which gives s = k + 39.\n2. Substitute k = g + 1 to s, which gives s = g + 40.\n3. Substitute g = z + 17 to s, which gives s = z + 57.\n4. Substitute z = v + 11 to s, which gives s = v + 68.\n5. Substitute v = f + 13 to s, which gives s = f + 81.\n6. Substitute f = 12 to s, which gives s = 93.\n\nThus, the final answer is s = \\boxed{93}.",
"index": 1941,
"question": "Consider a system of variables where each variable is defined as follows: z = v + 11; r = x + 12; g = z + 17; j = a + 3; x = n + 12; v = f + 13; k = g + 1; m = k + 19; s = m + 20; i = f + 13; f = 12; n = i + 16; a = r + 17. If f = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 11", "o": "m + 5", "n": "o + 11", "s": "n + 3", "v": "s + 3", "p": "v + 20", "l": "j + 5", "h": "l + 6", "y": "h + 6", "b": "y + 10", "g": "b + 10", "x": "g + 7", "j": 8}, "premises": {"j": 8}, "target": "p"}, "answer": {"steps": [["v", "s + 3", "s + 23"], ["s", "n + 3", "n + 26"], ["n", "o + 11", "o + 37"], ["o", "m + 5", "m + 42"], ["m", "j + 11", "j + 53"], ["j", 8, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"j": 8}, "is_reverse": true}}
| 1,942
| 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 + 20; o = m + 5; h = l + 6; l = j + 5; g = b + 10; s = n + 3; j = 8; x = g + 7; b = y + 10; y = h + 6; v = s + 3; m = j + 11; n = o + 11. If j = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 3 to p, which gives p = s + 23.\n2. Substitute s = n + 3 to p, which gives p = n + 26.\n3. Substitute n = o + 11 to p, which gives p = o + 37.\n4. Substitute o = m + 5 to p, which gives p = m + 42.\n5. Substitute m = j + 11 to p, which gives p = j + 53.\n6. Substitute j = 8 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 1942,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 20; o = m + 5; h = l + 6; l = j + 5; g = b + 10; s = n + 3; j = 8; x = g + 7; b = y + 10; y = h + 6; v = s + 3; m = j + 11; n = o + 11. If j = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 20", "n": "y + 7", "a": "n + 16", "w": "a + 4", "k": "w + 19", "c": "k + 8", "t": "i + 1", "f": "t + 2", "o": "f + 5", "g": "o + 13", "s": "g + 4", "l": "s + 14", "i": 10}, "premises": {"i": 10}, "target": "c"}, "answer": {"steps": [["k", "w + 19", "w + 27"], ["w", "a + 4", "a + 31"], ["a", "n + 16", "n + 47"], ["n", "y + 7", "y + 54"], ["y", "i + 20", "i + 74"], ["i", 10, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"i": 10}, "is_reverse": true}}
| 1,943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 14; n = y + 7; f = t + 2; i = 10; s = g + 4; c = k + 8; w = a + 4; t = i + 1; g = o + 13; a = n + 16; k = w + 19; y = i + 20; o = f + 5. If i = 10, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 19 to c, which gives c = w + 27.\n2. Substitute w = a + 4 to c, which gives c = a + 31.\n3. Substitute a = n + 16 to c, which gives c = n + 47.\n4. Substitute n = y + 7 to c, which gives c = y + 54.\n5. Substitute y = i + 20 to c, which gives c = i + 74.\n6. Substitute i = 10 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 1943,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 14; n = y + 7; f = t + 2; i = 10; s = g + 4; c = k + 8; w = a + 4; t = i + 1; g = o + 13; a = n + 16; k = w + 19; y = i + 20; o = f + 5. If i = 10, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 6", "s": "f + 17", "a": "s + 15", "h": "a + 7", "u": "h + 1", "c": "u + 5", "l": "g + 16", "i": "l + 10", "p": "i + 14", "b": "p + 17", "j": "b + 20", "e": "j + 16", "g": 14}, "premises": {"g": 14}, "target": "c"}, "answer": {"steps": [["u", "h + 1", "h + 6"], ["h", "a + 7", "a + 13"], ["a", "s + 15", "s + 28"], ["s", "f + 17", "f + 45"], ["f", "g + 6", "g + 51"], ["g", 14, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"g": 14}, "is_reverse": true}}
| 1,944
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 1; f = g + 6; g = 14; e = j + 16; b = p + 17; a = s + 15; h = a + 7; p = i + 14; s = f + 17; c = u + 5; i = l + 10; l = g + 16; j = b + 20. If g = 14, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 1 to c, which gives c = h + 6.\n2. Substitute h = a + 7 to c, which gives c = a + 13.\n3. Substitute a = s + 15 to c, which gives c = s + 28.\n4. Substitute s = f + 17 to c, which gives c = f + 45.\n5. Substitute f = g + 6 to c, which gives c = g + 51.\n6. Substitute g = 14 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 1944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 1; f = g + 6; g = 14; e = j + 16; b = p + 17; a = s + 15; h = a + 7; p = i + 14; s = f + 17; c = u + 5; i = l + 10; l = g + 16; j = b + 20. If g = 14, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 12", "v": "x + 3", "j": "v + 5", "g": "j + 9", "n": "g + 16", "s": "n + 5", "p": "z + 3", "w": "p + 20", "u": "w + 11", "q": "u + 13", "b": "q + 9", "d": "b + 11", "z": 13}, "premises": {"z": 13}, "target": "s"}, "answer": {"steps": [["n", "g + 16", "g + 21"], ["g", "j + 9", "j + 30"], ["j", "v + 5", "v + 35"], ["v", "x + 3", "x + 38"], ["x", "z + 12", "z + 50"], ["z", 13, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"z": 13}, "is_reverse": true}}
| 1,945
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 9; j = v + 5; u = w + 11; n = g + 16; b = q + 9; w = p + 20; p = z + 3; x = z + 12; d = b + 11; z = 13; s = n + 5; v = x + 3; q = u + 13. If z = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 16 to s, which gives s = g + 21.\n2. Substitute g = j + 9 to s, which gives s = j + 30.\n3. Substitute j = v + 5 to s, which gives s = v + 35.\n4. Substitute v = x + 3 to s, which gives s = x + 38.\n5. Substitute x = z + 12 to s, which gives s = z + 50.\n6. Substitute z = 13 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 1945,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 9; j = v + 5; u = w + 11; n = g + 16; b = q + 9; w = p + 20; p = z + 3; x = z + 12; d = b + 11; z = 13; s = n + 5; v = x + 3; q = u + 13. If z = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 15", "p": "i + 1", "v": "p + 16", "s": "v + 19", "d": "s + 18", "e": "d + 8", "u": "g + 5", "y": "u + 18", "w": "y + 2", "m": "w + 12", "j": "m + 4", "o": "j + 10", "g": 5}, "premises": {"g": 5}, "target": "e"}, "answer": {"steps": [["d", "s + 18", "s + 26"], ["s", "v + 19", "v + 45"], ["v", "p + 16", "p + 61"], ["p", "i + 1", "i + 62"], ["i", "g + 15", "g + 77"], ["g", 5, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"g": 5}, "is_reverse": true}}
| 1,946
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 18; s = v + 19; o = j + 10; y = u + 18; j = m + 4; g = 5; i = g + 15; e = d + 8; m = w + 12; u = g + 5; v = p + 16; p = i + 1; w = y + 2. If g = 5, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 18 to e, which gives e = s + 26.\n2. Substitute s = v + 19 to e, which gives e = v + 45.\n3. Substitute v = p + 16 to e, which gives e = p + 61.\n4. Substitute p = i + 1 to e, which gives e = i + 62.\n5. Substitute i = g + 15 to e, which gives e = g + 77.\n6. Substitute g = 5 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 1946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 18; s = v + 19; o = j + 10; y = u + 18; j = m + 4; g = 5; i = g + 15; e = d + 8; m = w + 12; u = g + 5; v = p + 16; p = i + 1; w = y + 2. If g = 5, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 20", "k": "b + 6", "i": "k + 12", "s": "i + 15", "j": "s + 5", "x": "j + 10", "t": "y + 1", "u": "t + 5", "a": "u + 17", "h": "a + 11", "n": "h + 14", "d": "n + 17", "y": 7}, "premises": {"y": 7}, "target": "x"}, "answer": {"steps": [["j", "s + 5", "s + 15"], ["s", "i + 15", "i + 30"], ["i", "k + 12", "k + 42"], ["k", "b + 6", "b + 48"], ["b", "y + 20", "y + 68"], ["y", 7, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"y": 7}, "is_reverse": true}}
| 1,947
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 20; s = i + 15; h = a + 11; d = n + 17; i = k + 12; k = b + 6; a = u + 17; n = h + 14; t = y + 1; j = s + 5; y = 7; x = j + 10; u = t + 5. Given that y = 7, find 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 j = s + 5 to x, which gives x = s + 15.\n2. Substitute s = i + 15 to x, which gives x = i + 30.\n3. Substitute i = k + 12 to x, which gives x = k + 42.\n4. Substitute k = b + 6 to x, which gives x = b + 48.\n5. Substitute b = y + 20 to x, which gives x = y + 68.\n6. Substitute y = 7 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 1947,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 20; s = i + 15; h = a + 11; d = n + 17; i = k + 12; k = b + 6; a = u + 17; n = h + 14; t = y + 1; j = s + 5; y = 7; x = j + 10; u = t + 5. Given that y = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 15", "d": "r + 13", "x": "d + 7", "i": "x + 6", "b": "i + 19", "a": "b + 4", "f": "q + 14", "n": "f + 11", "h": "n + 14", "j": "h + 15", "g": "j + 19", "w": "g + 2", "q": 14}, "premises": {"q": 14}, "target": "a"}, "answer": {"steps": [["b", "i + 19", "i + 23"], ["i", "x + 6", "x + 29"], ["x", "d + 7", "d + 36"], ["d", "r + 13", "r + 49"], ["r", "q + 15", "q + 64"], ["q", 14, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"q": 14}, "is_reverse": true}}
| 1,948
| 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 = f + 11; a = b + 4; q = 14; i = x + 6; r = q + 15; f = q + 14; h = n + 14; g = j + 19; d = r + 13; b = i + 19; w = g + 2; x = d + 7; j = h + 15. If q = 14, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 19 to a, which gives a = i + 23.\n2. Substitute i = x + 6 to a, which gives a = x + 29.\n3. Substitute x = d + 7 to a, which gives a = d + 36.\n4. Substitute d = r + 13 to a, which gives a = r + 49.\n5. Substitute r = q + 15 to a, which gives a = q + 64.\n6. Substitute q = 14 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 1948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 11; a = b + 4; q = 14; i = x + 6; r = q + 15; f = q + 14; h = n + 14; g = j + 19; d = r + 13; b = i + 19; w = g + 2; x = d + 7; j = h + 15. If q = 14, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 9", "c": "t + 8", "f": "c + 2", "s": "f + 17", "u": "s + 13", "e": "u + 8", "q": "y + 6", "v": "q + 18", "d": "v + 19", "i": "d + 7", "g": "i + 3", "x": "g + 7", "y": 12}, "premises": {"y": 12}, "target": "e"}, "answer": {"steps": [["u", "s + 13", "s + 21"], ["s", "f + 17", "f + 38"], ["f", "c + 2", "c + 40"], ["c", "t + 8", "t + 48"], ["t", "y + 9", "y + 57"], ["y", 12, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"y": 12}, "is_reverse": true}}
| 1,949
| 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 = s + 13; y = 12; q = y + 6; i = d + 7; s = f + 17; c = t + 8; d = v + 19; v = q + 18; e = u + 8; t = y + 9; g = i + 3; x = g + 7; f = c + 2. If y = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 13 to e, which gives e = s + 21.\n2. Substitute s = f + 17 to e, which gives e = f + 38.\n3. Substitute f = c + 2 to e, which gives e = c + 40.\n4. Substitute c = t + 8 to e, which gives e = t + 48.\n5. Substitute t = y + 9 to e, which gives e = y + 57.\n6. Substitute y = 12 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 1949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 13; y = 12; q = y + 6; i = d + 7; s = f + 17; c = t + 8; d = v + 19; v = q + 18; e = u + 8; t = y + 9; g = i + 3; x = g + 7; f = c + 2. If y = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 18", "u": "q + 17", "w": "u + 9", "z": "w + 13", "h": "z + 14", "e": "h + 11", "l": "o + 1", "y": "l + 17", "s": "y + 9", "f": "s + 16", "n": "f + 8", "a": "n + 14", "o": 6}, "premises": {"o": 6}, "target": "e"}, "answer": {"steps": [["h", "z + 14", "z + 25"], ["z", "w + 13", "w + 38"], ["w", "u + 9", "u + 47"], ["u", "q + 17", "q + 64"], ["q", "o + 18", "o + 82"], ["o", 6, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"o": 6}, "is_reverse": true}}
| 1,950
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = h + 11; h = z + 14; f = s + 16; o = 6; n = f + 8; q = o + 18; y = l + 17; a = n + 14; w = u + 9; z = w + 13; u = q + 17; s = y + 9; l = o + 1. If o = 6, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 14 to e, which gives e = z + 25.\n2. Substitute z = w + 13 to e, which gives e = w + 38.\n3. Substitute w = u + 9 to e, which gives e = u + 47.\n4. Substitute u = q + 17 to e, which gives e = q + 64.\n5. Substitute q = o + 18 to e, which gives e = o + 82.\n6. Substitute o = 6 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 1950,
"question": "Consider a system of variables where each variable is defined as follows: e = h + 11; h = z + 14; f = s + 16; o = 6; n = f + 8; q = o + 18; y = l + 17; a = n + 14; w = u + 9; z = w + 13; u = q + 17; s = y + 9; l = o + 1. If o = 6, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 10", "k": "w + 13", "j": "k + 16", "q": "j + 11", "p": "q + 19", "x": "p + 2", "d": "e + 19", "s": "d + 19", "c": "s + 10", "r": "c + 1", "l": "r + 2", "o": "l + 18", "e": 18}, "premises": {"e": 18}, "target": "x"}, "answer": {"steps": [["p", "q + 19", "q + 21"], ["q", "j + 11", "j + 32"], ["j", "k + 16", "k + 48"], ["k", "w + 13", "w + 61"], ["w", "e + 10", "e + 71"], ["e", 18, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"e": 18}, "is_reverse": true}}
| 1,951
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 1; p = q + 19; k = w + 13; d = e + 19; c = s + 10; l = r + 2; j = k + 16; x = p + 2; o = l + 18; w = e + 10; q = j + 11; s = d + 19; e = 18. If e = 18, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 19 to x, which gives x = q + 21.\n2. Substitute q = j + 11 to x, which gives x = j + 32.\n3. Substitute j = k + 16 to x, which gives x = k + 48.\n4. Substitute k = w + 13 to x, which gives x = w + 61.\n5. Substitute w = e + 10 to x, which gives x = e + 71.\n6. Substitute e = 18 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 1951,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 1; p = q + 19; k = w + 13; d = e + 19; c = s + 10; l = r + 2; j = k + 16; x = p + 2; o = l + 18; w = e + 10; q = j + 11; s = d + 19; e = 18. If e = 18, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 4", "y": "r + 10", "z": "y + 11", "s": "z + 4", "c": "s + 15", "w": "c + 16", "j": "b + 17", "a": "j + 9", "p": "a + 15", "f": "p + 11", "x": "f + 2", "q": "x + 1", "b": 6}, "premises": {"b": 6}, "target": "w"}, "answer": {"steps": [["c", "s + 15", "s + 31"], ["s", "z + 4", "z + 35"], ["z", "y + 11", "y + 46"], ["y", "r + 10", "r + 56"], ["r", "b + 4", "b + 60"], ["b", 6, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"b": 6}, "is_reverse": true}}
| 1,952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 11; f = p + 11; c = s + 15; w = c + 16; s = z + 4; p = a + 15; y = r + 10; a = j + 9; r = b + 4; x = f + 2; b = 6; q = x + 1; j = b + 17. Given that b = 6, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 15 to w, which gives w = s + 31.\n2. Substitute s = z + 4 to w, which gives w = z + 35.\n3. Substitute z = y + 11 to w, which gives w = y + 46.\n4. Substitute y = r + 10 to w, which gives w = r + 56.\n5. Substitute r = b + 4 to w, which gives w = b + 60.\n6. Substitute b = 6 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 1952,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 11; f = p + 11; c = s + 15; w = c + 16; s = z + 4; p = a + 15; y = r + 10; a = j + 9; r = b + 4; x = f + 2; b = 6; q = x + 1; j = b + 17. Given that b = 6, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 1", "u": "q + 2", "f": "u + 15", "e": "f + 20", "z": "e + 11", "v": "z + 10", "k": "i + 19", "a": "k + 8", "r": "a + 9", "l": "r + 12", "j": "l + 18", "d": "j + 11", "i": 6}, "premises": {"i": 6}, "target": "v"}, "answer": {"steps": [["z", "e + 11", "e + 21"], ["e", "f + 20", "f + 41"], ["f", "u + 15", "u + 56"], ["u", "q + 2", "q + 58"], ["q", "i + 1", "i + 59"], ["i", 6, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"i": 6}, "is_reverse": true}}
| 1,953
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = 6; e = f + 20; a = k + 8; z = e + 11; q = i + 1; k = i + 19; d = j + 11; u = q + 2; j = l + 18; r = a + 9; l = r + 12; f = u + 15; v = z + 10. Given that i = 6, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 11 to v, which gives v = e + 21.\n2. Substitute e = f + 20 to v, which gives v = f + 41.\n3. Substitute f = u + 15 to v, which gives v = u + 56.\n4. Substitute u = q + 2 to v, which gives v = q + 58.\n5. Substitute q = i + 1 to v, which gives v = i + 59.\n6. Substitute i = 6 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 1953,
"question": "Suppose a collection of variables is related by the following definitions: i = 6; e = f + 20; a = k + 8; z = e + 11; q = i + 1; k = i + 19; d = j + 11; u = q + 2; j = l + 18; r = a + 9; l = r + 12; f = u + 15; v = z + 10. Given that i = 6, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 3", "a": "n + 3", "q": "a + 13", "b": "q + 17", "i": "b + 20", "v": "i + 3", "z": "w + 5", "t": "z + 1", "j": "t + 8", "l": "j + 20", "f": "l + 8", "o": "f + 17", "w": 19}, "premises": {"w": 19}, "target": "v"}, "answer": {"steps": [["i", "b + 20", "b + 23"], ["b", "q + 17", "q + 40"], ["q", "a + 13", "a + 53"], ["a", "n + 3", "n + 56"], ["n", "w + 3", "w + 59"], ["w", 19, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"w": 19}, "is_reverse": true}}
| 1,954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 1; i = b + 20; z = w + 5; o = f + 17; v = i + 3; b = q + 17; f = l + 8; a = n + 3; w = 19; j = t + 8; l = j + 20; q = a + 13; n = w + 3. If w = 19, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 20 to v, which gives v = b + 23.\n2. Substitute b = q + 17 to v, which gives v = q + 40.\n3. Substitute q = a + 13 to v, which gives v = a + 53.\n4. Substitute a = n + 3 to v, which gives v = n + 56.\n5. Substitute n = w + 3 to v, which gives v = w + 59.\n6. Substitute w = 19 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 1954,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 1; i = b + 20; z = w + 5; o = f + 17; v = i + 3; b = q + 17; f = l + 8; a = n + 3; w = 19; j = t + 8; l = j + 20; q = a + 13; n = w + 3. If w = 19, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 10", "f": "s + 12", "n": "f + 12", "u": "n + 12", "q": "u + 13", "b": "q + 5", "w": "x + 18", "d": "w + 19", "l": "d + 18", "y": "l + 17", "h": "y + 2", "e": "h + 18", "x": 5}, "premises": {"x": 5}, "target": "b"}, "answer": {"steps": [["q", "u + 13", "u + 18"], ["u", "n + 12", "n + 30"], ["n", "f + 12", "f + 42"], ["f", "s + 12", "s + 54"], ["s", "x + 10", "x + 64"], ["x", 5, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"x": 5}, "is_reverse": true}}
| 1,955
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 19; b = q + 5; q = u + 13; f = s + 12; x = 5; n = f + 12; w = x + 18; e = h + 18; h = y + 2; l = d + 18; y = l + 17; s = x + 10; u = n + 12. If x = 5, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 13 to b, which gives b = u + 18.\n2. Substitute u = n + 12 to b, which gives b = n + 30.\n3. Substitute n = f + 12 to b, which gives b = f + 42.\n4. Substitute f = s + 12 to b, which gives b = s + 54.\n5. Substitute s = x + 10 to b, which gives b = x + 64.\n6. Substitute x = 5 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 1955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 19; b = q + 5; q = u + 13; f = s + 12; x = 5; n = f + 12; w = x + 18; e = h + 18; h = y + 2; l = d + 18; y = l + 17; s = x + 10; u = n + 12. If x = 5, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 13", "j": "c + 3", "y": "j + 11", "x": "y + 11", "a": "x + 5", "h": "a + 13", "r": "f + 14", "i": "r + 3", "e": "i + 5", "k": "e + 12", "u": "k + 8", "n": "u + 17", "f": 11}, "premises": {"f": 11}, "target": "h"}, "answer": {"steps": [["a", "x + 5", "x + 18"], ["x", "y + 11", "y + 29"], ["y", "j + 11", "j + 40"], ["j", "c + 3", "c + 43"], ["c", "f + 13", "f + 56"], ["f", 11, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"f": 11}, "is_reverse": true}}
| 1,956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 12; h = a + 13; f = 11; r = f + 14; e = i + 5; a = x + 5; i = r + 3; c = f + 13; x = y + 11; n = u + 17; u = k + 8; j = c + 3; y = j + 11. If f = 11, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 5 to h, which gives h = x + 18.\n2. Substitute x = y + 11 to h, which gives h = y + 29.\n3. Substitute y = j + 11 to h, which gives h = j + 40.\n4. Substitute j = c + 3 to h, which gives h = c + 43.\n5. Substitute c = f + 13 to h, which gives h = f + 56.\n6. Substitute f = 11 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 1956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 12; h = a + 13; f = 11; r = f + 14; e = i + 5; a = x + 5; i = r + 3; c = f + 13; x = y + 11; n = u + 17; u = k + 8; j = c + 3; y = j + 11. If f = 11, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 6", "y": "p + 3", "w": "y + 18", "m": "w + 3", "t": "m + 19", "e": "t + 18", "l": "r + 19", "u": "l + 18", "b": "u + 12", "d": "b + 4", "c": "d + 2", "j": "c + 2", "r": 10}, "premises": {"r": 10}, "target": "e"}, "answer": {"steps": [["t", "m + 19", "m + 37"], ["m", "w + 3", "w + 40"], ["w", "y + 18", "y + 58"], ["y", "p + 3", "p + 61"], ["p", "r + 6", "r + 67"], ["r", 10, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"r": 10}, "is_reverse": true}}
| 1,957
| 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 = p + 3; b = u + 12; e = t + 18; d = b + 4; j = c + 2; c = d + 2; m = w + 3; p = r + 6; u = l + 18; l = r + 19; w = y + 18; r = 10; t = m + 19. If r = 10, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 19 to e, which gives e = m + 37.\n2. Substitute m = w + 3 to e, which gives e = w + 40.\n3. Substitute w = y + 18 to e, which gives e = y + 58.\n4. Substitute y = p + 3 to e, which gives e = p + 61.\n5. Substitute p = r + 6 to e, which gives e = r + 67.\n6. Substitute r = 10 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 1957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 3; b = u + 12; e = t + 18; d = b + 4; j = c + 2; c = d + 2; m = w + 3; p = r + 6; u = l + 18; l = r + 19; w = y + 18; r = 10; t = m + 19. If r = 10, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 3", "f": "i + 19", "l": "f + 15", "k": "l + 14", "a": "k + 16", "y": "a + 7", "t": "b + 4", "e": "t + 14", "m": "e + 6", "s": "m + 13", "x": "s + 5", "q": "x + 9", "b": 19}, "premises": {"b": 19}, "target": "y"}, "answer": {"steps": [["a", "k + 16", "k + 23"], ["k", "l + 14", "l + 37"], ["l", "f + 15", "f + 52"], ["f", "i + 19", "i + 71"], ["i", "b + 3", "b + 74"], ["b", 19, "93"]], "target_var_name": "y", "target_value": 93, "value_dict": {"b": 19}, "is_reverse": true}}
| 1,958
| 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 = l + 14; b = 19; f = i + 19; t = b + 4; m = e + 6; i = b + 3; q = x + 9; x = s + 5; e = t + 14; s = m + 13; y = a + 7; l = f + 15; a = k + 16. If b = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 16 to y, which gives y = k + 23.\n2. Substitute k = l + 14 to y, which gives y = l + 37.\n3. Substitute l = f + 15 to y, which gives y = f + 52.\n4. Substitute f = i + 19 to y, which gives y = i + 71.\n5. Substitute i = b + 3 to y, which gives y = b + 74.\n6. Substitute b = 19 to y, which gives y = 93.\n\nThus, the final answer is y = \\boxed{93}.",
"index": 1958,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 14; b = 19; f = i + 19; t = b + 4; m = e + 6; i = b + 3; q = x + 9; x = s + 5; e = t + 14; s = m + 13; y = a + 7; l = f + 15; a = k + 16. If b = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 5", "l": "d + 5", "e": "l + 4", "v": "e + 10", "u": "v + 18", "j": "u + 3", "g": "b + 4", "k": "g + 15", "m": "k + 18", "o": "m + 8", "r": "o + 20", "i": "r + 19", "b": 19}, "premises": {"b": 19}, "target": "j"}, "answer": {"steps": [["u", "v + 18", "v + 21"], ["v", "e + 10", "e + 31"], ["e", "l + 4", "l + 35"], ["l", "d + 5", "d + 40"], ["d", "b + 5", "b + 45"], ["b", 19, "64"]], "target_var_name": "j", "target_value": 64, "value_dict": {"b": 19}, "is_reverse": true}}
| 1,959
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = b + 5; u = v + 18; i = r + 19; l = d + 5; r = o + 20; b = 19; m = k + 18; g = b + 4; k = g + 15; v = e + 10; e = l + 4; j = u + 3; o = m + 8. Given that b = 19, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 18 to j, which gives j = v + 21.\n2. Substitute v = e + 10 to j, which gives j = e + 31.\n3. Substitute e = l + 4 to j, which gives j = l + 35.\n4. Substitute l = d + 5 to j, which gives j = d + 40.\n5. Substitute d = b + 5 to j, which gives j = b + 45.\n6. Substitute b = 19 to j, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 1959,
"question": "Suppose a collection of variables is related by the following definitions: d = b + 5; u = v + 18; i = r + 19; l = d + 5; r = o + 20; b = 19; m = k + 18; g = b + 4; k = g + 15; v = e + 10; e = l + 4; j = u + 3; o = m + 8. Given that b = 19, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 12", "a": "t + 18", "k": "a + 1", "i": "k + 9", "b": "i + 1", "j": "b + 9", "c": "x + 5", "s": "c + 19", "p": "s + 6", "z": "p + 18", "h": "z + 19", "v": "h + 14", "x": 15}, "premises": {"x": 15}, "target": "j"}, "answer": {"steps": [["b", "i + 1", "i + 10"], ["i", "k + 9", "k + 19"], ["k", "a + 1", "a + 20"], ["a", "t + 18", "t + 38"], ["t", "x + 12", "x + 50"], ["x", 15, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"x": 15}, "is_reverse": true}}
| 1,960
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 1; v = h + 14; j = b + 9; a = t + 18; z = p + 18; p = s + 6; h = z + 19; x = 15; t = x + 12; b = i + 1; c = x + 5; i = k + 9; s = c + 19. Given that x = 15, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 1 to j, which gives j = i + 10.\n2. Substitute i = k + 9 to j, which gives j = k + 19.\n3. Substitute k = a + 1 to j, which gives j = a + 20.\n4. Substitute a = t + 18 to j, which gives j = t + 38.\n5. Substitute t = x + 12 to j, which gives j = x + 50.\n6. Substitute x = 15 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 1960,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 1; v = h + 14; j = b + 9; a = t + 18; z = p + 18; p = s + 6; h = z + 19; x = 15; t = x + 12; b = i + 1; c = x + 5; i = k + 9; s = c + 19. Given that x = 15, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 20", "m": "h + 1", "o": "m + 7", "d": "o + 8", "y": "d + 1", "t": "y + 18", "w": "x + 5", "j": "w + 17", "z": "j + 6", "s": "z + 4", "r": "s + 18", "g": "r + 15", "x": 7}, "premises": {"x": 7}, "target": "t"}, "answer": {"steps": [["y", "d + 1", "d + 19"], ["d", "o + 8", "o + 27"], ["o", "m + 7", "m + 34"], ["m", "h + 1", "h + 35"], ["h", "x + 20", "x + 55"], ["x", 7, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"x": 7}, "is_reverse": true}}
| 1,961
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 18; x = 7; g = r + 15; d = o + 8; s = z + 4; h = x + 20; w = x + 5; z = j + 6; y = d + 1; o = m + 7; m = h + 1; r = s + 18; j = w + 17. Given that x = 7, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 1 to t, which gives t = d + 19.\n2. Substitute d = o + 8 to t, which gives t = o + 27.\n3. Substitute o = m + 7 to t, which gives t = m + 34.\n4. Substitute m = h + 1 to t, which gives t = h + 35.\n5. Substitute h = x + 20 to t, which gives t = x + 55.\n6. Substitute x = 7 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 1961,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 18; x = 7; g = r + 15; d = o + 8; s = z + 4; h = x + 20; w = x + 5; z = j + 6; y = d + 1; o = m + 7; m = h + 1; r = s + 18; j = w + 17. Given that x = 7, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 4", "f": "k + 8", "i": "f + 20", "c": "i + 20", "o": "c + 13", "u": "o + 1", "p": "z + 19", "d": "p + 10", "b": "d + 5", "g": "b + 1", "e": "g + 3", "q": "e + 20", "z": 15}, "premises": {"z": 15}, "target": "u"}, "answer": {"steps": [["o", "c + 13", "c + 14"], ["c", "i + 20", "i + 34"], ["i", "f + 20", "f + 54"], ["f", "k + 8", "k + 62"], ["k", "z + 4", "z + 66"], ["z", 15, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"z": 15}, "is_reverse": true}}
| 1,962
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 5; k = z + 4; g = b + 1; c = i + 20; z = 15; u = o + 1; i = f + 20; q = e + 20; d = p + 10; p = z + 19; f = k + 8; e = g + 3; o = c + 13. Given that z = 15, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 13 to u, which gives u = c + 14.\n2. Substitute c = i + 20 to u, which gives u = i + 34.\n3. Substitute i = f + 20 to u, which gives u = f + 54.\n4. Substitute f = k + 8 to u, which gives u = k + 62.\n5. Substitute k = z + 4 to u, which gives u = z + 66.\n6. Substitute z = 15 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 1962,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 5; k = z + 4; g = b + 1; c = i + 20; z = 15; u = o + 1; i = f + 20; q = e + 20; d = p + 10; p = z + 19; f = k + 8; e = g + 3; o = c + 13. Given that z = 15, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 14", "j": "q + 19", "r": "j + 20", "y": "r + 6", "f": "y + 13", "p": "f + 19", "i": "u + 16", "c": "i + 17", "o": "c + 14", "h": "o + 12", "v": "h + 20", "n": "v + 15", "u": 14}, "premises": {"u": 14}, "target": "p"}, "answer": {"steps": [["f", "y + 13", "y + 32"], ["y", "r + 6", "r + 38"], ["r", "j + 20", "j + 58"], ["j", "q + 19", "q + 77"], ["q", "u + 14", "u + 91"], ["u", 14, "105"]], "target_var_name": "p", "target_value": 105, "value_dict": {"u": 14}, "is_reverse": true}}
| 1,963
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = h + 20; r = j + 20; u = 14; y = r + 6; h = o + 12; i = u + 16; p = f + 19; n = v + 15; q = u + 14; c = i + 17; f = y + 13; o = c + 14; j = q + 19. Given that u = 14, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 13 to p, which gives p = y + 32.\n2. Substitute y = r + 6 to p, which gives p = r + 38.\n3. Substitute r = j + 20 to p, which gives p = j + 58.\n4. Substitute j = q + 19 to p, which gives p = q + 77.\n5. Substitute q = u + 14 to p, which gives p = u + 91.\n6. Substitute u = 14 to p, which gives p = 105.\n\nThus, the final answer is p = \\boxed{105}.",
"index": 1963,
"question": "Suppose a collection of variables is related by the following definitions: v = h + 20; r = j + 20; u = 14; y = r + 6; h = o + 12; i = u + 16; p = f + 19; n = v + 15; q = u + 14; c = i + 17; f = y + 13; o = c + 14; j = q + 19. Given that u = 14, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 3", "p": "x + 11", "m": "p + 13", "c": "m + 4", "u": "c + 4", "f": "u + 20", "j": "h + 15", "y": "j + 1", "l": "y + 13", "g": "l + 7", "i": "g + 3", "t": "i + 20", "h": 3}, "premises": {"h": 3}, "target": "f"}, "answer": {"steps": [["u", "c + 4", "c + 24"], ["c", "m + 4", "m + 28"], ["m", "p + 13", "p + 41"], ["p", "x + 11", "x + 52"], ["x", "h + 3", "h + 55"], ["h", 3, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"h": 3}, "is_reverse": true}}
| 1,964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 11; u = c + 4; c = m + 4; h = 3; i = g + 3; y = j + 1; l = y + 13; g = l + 7; f = u + 20; m = p + 13; x = h + 3; t = i + 20; j = h + 15. If h = 3, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 4 to f, which gives f = c + 24.\n2. Substitute c = m + 4 to f, which gives f = m + 28.\n3. Substitute m = p + 13 to f, which gives f = p + 41.\n4. Substitute p = x + 11 to f, which gives f = x + 52.\n5. Substitute x = h + 3 to f, which gives f = h + 55.\n6. Substitute h = 3 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 1964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 11; u = c + 4; c = m + 4; h = 3; i = g + 3; y = j + 1; l = y + 13; g = l + 7; f = u + 20; m = p + 13; x = h + 3; t = i + 20; j = h + 15. If h = 3, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"v": "k + 8", "w": "v + 17", "o": "w + 10", "i": "o + 15", "q": "i + 3", "c": "q + 1", "b": "k + 17", "n": "b + 8", "m": "n + 12", "j": "m + 9", "f": "j + 20", "h": "f + 3", "k": 10}, "premises": {"k": 10}, "target": "c"}, "answer": {"steps": [["q", "i + 3", "i + 4"], ["i", "o + 15", "o + 19"], ["o", "w + 10", "w + 29"], ["w", "v + 17", "v + 46"], ["v", "k + 8", "k + 54"], ["k", 10, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"k": 10}, "is_reverse": true}}
| 1,965
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 3; j = m + 9; n = b + 8; k = 10; v = k + 8; h = f + 3; b = k + 17; i = o + 15; m = n + 12; c = q + 1; w = v + 17; o = w + 10; f = j + 20. If k = 10, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 3 to c, which gives c = i + 4.\n2. Substitute i = o + 15 to c, which gives c = o + 19.\n3. Substitute o = w + 10 to c, which gives c = w + 29.\n4. Substitute w = v + 17 to c, which gives c = v + 46.\n5. Substitute v = k + 8 to c, which gives c = k + 54.\n6. Substitute k = 10 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 1965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 3; j = m + 9; n = b + 8; k = 10; v = k + 8; h = f + 3; b = k + 17; i = o + 15; m = n + 12; c = q + 1; w = v + 17; o = w + 10; f = j + 20. If k = 10, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 2", "f": "d + 11", "p": "f + 9", "n": "p + 9", "c": "n + 3", "k": "c + 6", "x": "r + 14", "v": "x + 16", "s": "v + 14", "b": "s + 2", "l": "b + 7", "j": "l + 13", "r": 10}, "premises": {"r": 10}, "target": "k"}, "answer": {"steps": [["c", "n + 3", "n + 9"], ["n", "p + 9", "p + 18"], ["p", "f + 9", "f + 27"], ["f", "d + 11", "d + 38"], ["d", "r + 2", "r + 40"], ["r", 10, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"r": 10}, "is_reverse": true}}
| 1,966
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 7; x = r + 14; f = d + 11; r = 10; c = n + 3; k = c + 6; p = f + 9; n = p + 9; d = r + 2; j = l + 13; b = s + 2; v = x + 16; s = v + 14. If r = 10, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 3 to k, which gives k = n + 9.\n2. Substitute n = p + 9 to k, which gives k = p + 18.\n3. Substitute p = f + 9 to k, which gives k = f + 27.\n4. Substitute f = d + 11 to k, which gives k = d + 38.\n5. Substitute d = r + 2 to k, which gives k = r + 40.\n6. Substitute r = 10 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 1966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 7; x = r + 14; f = d + 11; r = 10; c = n + 3; k = c + 6; p = f + 9; n = p + 9; d = r + 2; j = l + 13; b = s + 2; v = x + 16; s = v + 14. If r = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 13", "b": "c + 2", "g": "b + 6", "f": "g + 7", "z": "f + 2", "k": "z + 13", "a": "i + 1", "m": "a + 9", "j": "m + 1", "r": "j + 19", "u": "r + 20", "q": "u + 14", "i": 1}, "premises": {"i": 1}, "target": "k"}, "answer": {"steps": [["z", "f + 2", "f + 15"], ["f", "g + 7", "g + 22"], ["g", "b + 6", "b + 28"], ["b", "c + 2", "c + 30"], ["c", "i + 13", "i + 43"], ["i", 1, "44"]], "target_var_name": "k", "target_value": 44, "value_dict": {"i": 1}, "is_reverse": true}}
| 1,967
| 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 = c + 2; c = i + 13; u = r + 20; q = u + 14; k = z + 13; j = m + 1; z = f + 2; a = i + 1; m = a + 9; i = 1; r = j + 19; g = b + 6; f = g + 7. If i = 1, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 2 to k, which gives k = f + 15.\n2. Substitute f = g + 7 to k, which gives k = g + 22.\n3. Substitute g = b + 6 to k, which gives k = b + 28.\n4. Substitute b = c + 2 to k, which gives k = c + 30.\n5. Substitute c = i + 13 to k, which gives k = i + 43.\n6. Substitute i = 1 to k, which gives k = 44.\n\nThus, the final answer is k = \\boxed{44}.",
"index": 1967,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 2; c = i + 13; u = r + 20; q = u + 14; k = z + 13; j = m + 1; z = f + 2; a = i + 1; m = a + 9; i = 1; r = j + 19; g = b + 6; f = g + 7. If i = 1, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 17", "l": "q + 17", "a": "l + 12", "o": "a + 13", "h": "o + 12", "t": "h + 6", "u": "s + 12", "v": "u + 15", "d": "v + 14", "c": "d + 12", "m": "c + 20", "g": "m + 2", "s": 6}, "premises": {"s": 6}, "target": "t"}, "answer": {"steps": [["h", "o + 12", "o + 18"], ["o", "a + 13", "a + 31"], ["a", "l + 12", "l + 43"], ["l", "q + 17", "q + 60"], ["q", "s + 17", "s + 77"], ["s", 6, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"s": 6}, "is_reverse": true}}
| 1,968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 2; m = c + 20; s = 6; q = s + 17; t = h + 6; l = q + 17; h = o + 12; u = s + 12; d = v + 14; v = u + 15; a = l + 12; o = a + 13; c = d + 12. If s = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 12 to t, which gives t = o + 18.\n2. Substitute o = a + 13 to t, which gives t = a + 31.\n3. Substitute a = l + 12 to t, which gives t = l + 43.\n4. Substitute l = q + 17 to t, which gives t = q + 60.\n5. Substitute q = s + 17 to t, which gives t = s + 77.\n6. Substitute s = 6 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 1968,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 2; m = c + 20; s = 6; q = s + 17; t = h + 6; l = q + 17; h = o + 12; u = s + 12; d = v + 14; v = u + 15; a = l + 12; o = a + 13; c = d + 12. If s = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 14", "y": "w + 18", "s": "y + 7", "x": "s + 10", "m": "x + 18", "l": "m + 16", "a": "h + 11", "c": "a + 19", "f": "c + 20", "n": "f + 13", "k": "n + 7", "e": "k + 10", "h": 11}, "premises": {"h": 11}, "target": "l"}, "answer": {"steps": [["m", "x + 18", "x + 34"], ["x", "s + 10", "s + 44"], ["s", "y + 7", "y + 51"], ["y", "w + 18", "w + 69"], ["w", "h + 14", "h + 83"], ["h", 11, "94"]], "target_var_name": "l", "target_value": 94, "value_dict": {"h": 11}, "is_reverse": true}}
| 1,969
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 10; n = f + 13; w = h + 14; f = c + 20; x = s + 10; a = h + 11; s = y + 7; m = x + 18; l = m + 16; y = w + 18; k = n + 7; c = a + 19; h = 11. Given that h = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 18 to l, which gives l = x + 34.\n2. Substitute x = s + 10 to l, which gives l = s + 44.\n3. Substitute s = y + 7 to l, which gives l = y + 51.\n4. Substitute y = w + 18 to l, which gives l = w + 69.\n5. Substitute w = h + 14 to l, which gives l = h + 83.\n6. Substitute h = 11 to l, which gives l = 94.\n\nThus, the final answer is l = \\boxed{94}.",
"index": 1969,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 10; n = f + 13; w = h + 14; f = c + 20; x = s + 10; a = h + 11; s = y + 7; m = x + 18; l = m + 16; y = w + 18; k = n + 7; c = a + 19; h = 11. Given that h = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 12", "x": "g + 13", "a": "x + 1", "o": "a + 9", "e": "o + 2", "n": "e + 13", "b": "f + 13", "c": "b + 20", "y": "c + 3", "z": "y + 3", "h": "z + 3", "i": "h + 13", "f": 11}, "premises": {"f": 11}, "target": "n"}, "answer": {"steps": [["e", "o + 2", "o + 15"], ["o", "a + 9", "a + 24"], ["a", "x + 1", "x + 25"], ["x", "g + 13", "g + 38"], ["g", "f + 12", "f + 50"], ["f", 11, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"f": 11}, "is_reverse": true}}
| 1,970
| 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 = 11; c = b + 20; i = h + 13; y = c + 3; n = e + 13; a = x + 1; b = f + 13; z = y + 3; g = f + 12; e = o + 2; h = z + 3; o = a + 9; x = g + 13. If f = 11, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 2 to n, which gives n = o + 15.\n2. Substitute o = a + 9 to n, which gives n = a + 24.\n3. Substitute a = x + 1 to n, which gives n = x + 25.\n4. Substitute x = g + 13 to n, which gives n = g + 38.\n5. Substitute g = f + 12 to n, which gives n = f + 50.\n6. Substitute f = 11 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 1970,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 11; c = b + 20; i = h + 13; y = c + 3; n = e + 13; a = x + 1; b = f + 13; z = y + 3; g = f + 12; e = o + 2; h = z + 3; o = a + 9; x = g + 13. If f = 11, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 2", "z": "k + 7", "j": "z + 10", "m": "j + 11", "w": "m + 1", "x": "w + 14", "s": "p + 12", "b": "s + 19", "g": "b + 14", "d": "g + 18", "e": "d + 16", "y": "e + 19", "p": 8}, "premises": {"p": 8}, "target": "x"}, "answer": {"steps": [["w", "m + 1", "m + 15"], ["m", "j + 11", "j + 26"], ["j", "z + 10", "z + 36"], ["z", "k + 7", "k + 43"], ["k", "p + 2", "p + 45"], ["p", 8, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"p": 8}, "is_reverse": true}}
| 1,971
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 10; z = k + 7; y = e + 19; m = j + 11; e = d + 16; w = m + 1; p = 8; b = s + 19; d = g + 18; x = w + 14; k = p + 2; s = p + 12; g = b + 14. Given that p = 8, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 1 to x, which gives x = m + 15.\n2. Substitute m = j + 11 to x, which gives x = j + 26.\n3. Substitute j = z + 10 to x, which gives x = z + 36.\n4. Substitute z = k + 7 to x, which gives x = k + 43.\n5. Substitute k = p + 2 to x, which gives x = p + 45.\n6. Substitute p = 8 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 1971,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 10; z = k + 7; y = e + 19; m = j + 11; e = d + 16; w = m + 1; p = 8; b = s + 19; d = g + 18; x = w + 14; k = p + 2; s = p + 12; g = b + 14. Given that p = 8, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 20", "i": "k + 1", "d": "i + 19", "o": "d + 12", "r": "o + 19", "c": "r + 18", "l": "f + 11", "n": "l + 20", "s": "n + 3", "e": "s + 19", "t": "e + 14", "b": "t + 8", "f": 14}, "premises": {"f": 14}, "target": "c"}, "answer": {"steps": [["r", "o + 19", "o + 37"], ["o", "d + 12", "d + 49"], ["d", "i + 19", "i + 68"], ["i", "k + 1", "k + 69"], ["k", "f + 20", "f + 89"], ["f", 14, "103"]], "target_var_name": "c", "target_value": 103, "value_dict": {"f": 14}, "is_reverse": true}}
| 1,972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 19; b = t + 8; r = o + 19; i = k + 1; n = l + 20; k = f + 20; s = n + 3; c = r + 18; d = i + 19; f = 14; t = e + 14; l = f + 11; o = d + 12. If f = 14, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 19 to c, which gives c = o + 37.\n2. Substitute o = d + 12 to c, which gives c = d + 49.\n3. Substitute d = i + 19 to c, which gives c = i + 68.\n4. Substitute i = k + 1 to c, which gives c = k + 69.\n5. Substitute k = f + 20 to c, which gives c = f + 89.\n6. Substitute f = 14 to c, which gives c = 103.\n\nThus, the final answer is c = \\boxed{103}.",
"index": 1972,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 19; b = t + 8; r = o + 19; i = k + 1; n = l + 20; k = f + 20; s = n + 3; c = r + 18; d = i + 19; f = 14; t = e + 14; l = f + 11; o = d + 12. If f = 14, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 7", "y": "d + 5", "g": "y + 9", "k": "g + 8", "e": "k + 13", "r": "e + 12", "a": "b + 10", "t": "a + 16", "w": "t + 8", "h": "w + 15", "j": "h + 1", "l": "j + 10", "b": 10}, "premises": {"b": 10}, "target": "r"}, "answer": {"steps": [["e", "k + 13", "k + 25"], ["k", "g + 8", "g + 33"], ["g", "y + 9", "y + 42"], ["y", "d + 5", "d + 47"], ["d", "b + 7", "b + 54"], ["b", 10, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"b": 10}, "is_reverse": true}}
| 1,973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 16; b = 10; h = w + 15; y = d + 5; k = g + 8; a = b + 10; g = y + 9; e = k + 13; l = j + 10; r = e + 12; w = t + 8; d = b + 7; j = h + 1. If b = 10, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 13 to r, which gives r = k + 25.\n2. Substitute k = g + 8 to r, which gives r = g + 33.\n3. Substitute g = y + 9 to r, which gives r = y + 42.\n4. Substitute y = d + 5 to r, which gives r = d + 47.\n5. Substitute d = b + 7 to r, which gives r = b + 54.\n6. Substitute b = 10 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 1973,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 16; b = 10; h = w + 15; y = d + 5; k = g + 8; a = b + 10; g = y + 9; e = k + 13; l = j + 10; r = e + 12; w = t + 8; d = b + 7; j = h + 1. If b = 10, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 16", "j": "n + 18", "h": "j + 5", "p": "h + 20", "w": "p + 14", "g": "w + 11", "t": "d + 15", "e": "t + 10", "c": "e + 5", "o": "c + 15", "b": "o + 15", "l": "b + 2", "d": 16}, "premises": {"d": 16}, "target": "g"}, "answer": {"steps": [["w", "p + 14", "p + 25"], ["p", "h + 20", "h + 45"], ["h", "j + 5", "j + 50"], ["j", "n + 18", "n + 68"], ["n", "d + 16", "d + 84"], ["d", 16, "100"]], "target_var_name": "g", "target_value": 100, "value_dict": {"d": 16}, "is_reverse": true}}
| 1,974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 15; n = d + 16; j = n + 18; l = b + 2; c = e + 5; d = 16; e = t + 10; w = p + 14; h = j + 5; t = d + 15; b = o + 15; p = h + 20; g = w + 11. If d = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 14 to g, which gives g = p + 25.\n2. Substitute p = h + 20 to g, which gives g = h + 45.\n3. Substitute h = j + 5 to g, which gives g = j + 50.\n4. Substitute j = n + 18 to g, which gives g = n + 68.\n5. Substitute n = d + 16 to g, which gives g = d + 84.\n6. Substitute d = 16 to g, which gives g = 100.\n\nThus, the final answer is g = \\boxed{100}.",
"index": 1974,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 15; n = d + 16; j = n + 18; l = b + 2; c = e + 5; d = 16; e = t + 10; w = p + 14; h = j + 5; t = d + 15; b = o + 15; p = h + 20; g = w + 11. If d = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 5", "e": "v + 19", "g": "e + 1", "s": "g + 3", "m": "s + 2", "k": "m + 19", "h": "p + 15", "w": "h + 8", "f": "w + 2", "j": "f + 3", "b": "j + 11", "i": "b + 11", "p": 14}, "premises": {"p": 14}, "target": "k"}, "answer": {"steps": [["m", "s + 2", "s + 21"], ["s", "g + 3", "g + 24"], ["g", "e + 1", "e + 25"], ["e", "v + 19", "v + 44"], ["v", "p + 5", "p + 49"], ["p", 14, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"p": 14}, "is_reverse": true}}
| 1,975
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 3; m = s + 2; w = h + 8; h = p + 15; p = 14; i = b + 11; s = g + 3; e = v + 19; g = e + 1; b = j + 11; k = m + 19; f = w + 2; v = p + 5. If p = 14, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 2 to k, which gives k = s + 21.\n2. Substitute s = g + 3 to k, which gives k = g + 24.\n3. Substitute g = e + 1 to k, which gives k = e + 25.\n4. Substitute e = v + 19 to k, which gives k = v + 44.\n5. Substitute v = p + 5 to k, which gives k = p + 49.\n6. Substitute p = 14 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 1975,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 3; m = s + 2; w = h + 8; h = p + 15; p = 14; i = b + 11; s = g + 3; e = v + 19; g = e + 1; b = j + 11; k = m + 19; f = w + 2; v = p + 5. If p = 14, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 9", "i": "b + 7", "y": "i + 19", "c": "y + 19", "r": "c + 7", "w": "r + 19", "s": "e + 15", "z": "s + 16", "k": "z + 14", "p": "k + 6", "g": "p + 3", "u": "g + 12", "e": 8}, "premises": {"e": 8}, "target": "w"}, "answer": {"steps": [["r", "c + 7", "c + 26"], ["c", "y + 19", "y + 45"], ["y", "i + 19", "i + 64"], ["i", "b + 7", "b + 71"], ["b", "e + 9", "e + 80"], ["e", 8, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"e": 8}, "is_reverse": true}}
| 1,976
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 12; b = e + 9; c = y + 19; p = k + 6; w = r + 19; e = 8; r = c + 7; g = p + 3; k = z + 14; i = b + 7; z = s + 16; y = i + 19; s = e + 15. Given that e = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 7 to w, which gives w = c + 26.\n2. Substitute c = y + 19 to w, which gives w = y + 45.\n3. Substitute y = i + 19 to w, which gives w = i + 64.\n4. Substitute i = b + 7 to w, which gives w = b + 71.\n5. Substitute b = e + 9 to w, which gives w = e + 80.\n6. Substitute e = 8 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 1976,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 12; b = e + 9; c = y + 19; p = k + 6; w = r + 19; e = 8; r = c + 7; g = p + 3; k = z + 14; i = b + 7; z = s + 16; y = i + 19; s = e + 15. Given that e = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 13", "t": "s + 10", "k": "t + 16", "e": "k + 15", "c": "e + 11", "w": "c + 7", "f": "v + 2", "o": "f + 18", "n": "o + 7", "r": "n + 20", "p": "r + 7", "z": "p + 17", "v": 15}, "premises": {"v": 15}, "target": "w"}, "answer": {"steps": [["c", "e + 11", "e + 18"], ["e", "k + 15", "k + 33"], ["k", "t + 16", "t + 49"], ["t", "s + 10", "s + 59"], ["s", "v + 13", "v + 72"], ["v", 15, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 7; e = k + 15; n = o + 7; p = r + 7; s = v + 13; f = v + 2; t = s + 10; o = f + 18; k = t + 16; v = 15; c = e + 11; z = p + 17; r = n + 20. If v = 15, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 11 to w, which gives w = e + 18.\n2. Substitute e = k + 15 to w, which gives w = k + 33.\n3. Substitute k = t + 16 to w, which gives w = t + 49.\n4. Substitute t = s + 10 to w, which gives w = s + 59.\n5. Substitute s = v + 13 to w, which gives w = v + 72.\n6. Substitute v = 15 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 1977,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 7; e = k + 15; n = o + 7; p = r + 7; s = v + 13; f = v + 2; t = s + 10; o = f + 18; k = t + 16; v = 15; c = e + 11; z = p + 17; r = n + 20. If v = 15, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 1", "a": "r + 10", "s": "a + 18", "k": "s + 8", "h": "k + 20", "x": "h + 13", "z": "o + 6", "j": "z + 2", "b": "j + 3", "p": "b + 9", "m": "p + 15", "e": "m + 14", "o": 8}, "premises": {"o": 8}, "target": "x"}, "answer": {"steps": [["h", "k + 20", "k + 33"], ["k", "s + 8", "s + 41"], ["s", "a + 18", "a + 59"], ["a", "r + 10", "r + 69"], ["r", "o + 1", "o + 70"], ["o", 8, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"o": 8}, "is_reverse": true}}
| 1,978
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 8; j = z + 2; a = r + 10; z = o + 6; h = k + 20; x = h + 13; p = b + 9; b = j + 3; m = p + 15; e = m + 14; k = s + 8; s = a + 18; r = o + 1. If o = 8, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 20 to x, which gives x = k + 33.\n2. Substitute k = s + 8 to x, which gives x = s + 41.\n3. Substitute s = a + 18 to x, which gives x = a + 59.\n4. Substitute a = r + 10 to x, which gives x = r + 69.\n5. Substitute r = o + 1 to x, which gives x = o + 70.\n6. Substitute o = 8 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 1978,
"question": "Consider a system of variables where each variable is defined as follows: o = 8; j = z + 2; a = r + 10; z = o + 6; h = k + 20; x = h + 13; p = b + 9; b = j + 3; m = p + 15; e = m + 14; k = s + 8; s = a + 18; r = o + 1. If o = 8, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 5", "x": "k + 16", "z": "x + 13", "l": "z + 11", "r": "l + 20", "g": "r + 2", "v": "i + 5", "n": "v + 18", "e": "n + 15", "y": "e + 15", "u": "y + 7", "t": "u + 8", "i": 1}, "premises": {"i": 1}, "target": "g"}, "answer": {"steps": [["r", "l + 20", "l + 22"], ["l", "z + 11", "z + 33"], ["z", "x + 13", "x + 46"], ["x", "k + 16", "k + 62"], ["k", "i + 5", "i + 67"], ["i", 1, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"i": 1}, "is_reverse": true}}
| 1,979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 8; g = r + 2; z = x + 13; y = e + 15; v = i + 5; n = v + 18; u = y + 7; l = z + 11; r = l + 20; x = k + 16; i = 1; k = i + 5; e = n + 15. If i = 1, determine the 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 r = l + 20 to g, which gives g = l + 22.\n2. Substitute l = z + 11 to g, which gives g = z + 33.\n3. Substitute z = x + 13 to g, which gives g = x + 46.\n4. Substitute x = k + 16 to g, which gives g = k + 62.\n5. Substitute k = i + 5 to g, which gives g = i + 67.\n6. Substitute i = 1 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 1979,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 8; g = r + 2; z = x + 13; y = e + 15; v = i + 5; n = v + 18; u = y + 7; l = z + 11; r = l + 20; x = k + 16; i = 1; k = i + 5; e = n + 15. If i = 1, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 18", "w": "h + 6", "v": "w + 5", "k": "v + 18", "p": "k + 4", "o": "p + 12", "x": "e + 10", "a": "x + 20", "y": "a + 19", "b": "y + 15", "s": "b + 14", "r": "s + 17", "e": 7}, "premises": {"e": 7}, "target": "o"}, "answer": {"steps": [["p", "k + 4", "k + 16"], ["k", "v + 18", "v + 34"], ["v", "w + 5", "w + 39"], ["w", "h + 6", "h + 45"], ["h", "e + 18", "e + 63"], ["e", 7, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"e": 7}, "is_reverse": true}}
| 1,980
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 10; a = x + 20; e = 7; w = h + 6; b = y + 15; r = s + 17; k = v + 18; s = b + 14; h = e + 18; o = p + 12; p = k + 4; y = a + 19; v = w + 5. Given that e = 7, 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 p = k + 4 to o, which gives o = k + 16.\n2. Substitute k = v + 18 to o, which gives o = v + 34.\n3. Substitute v = w + 5 to o, which gives o = w + 39.\n4. Substitute w = h + 6 to o, which gives o = h + 45.\n5. Substitute h = e + 18 to o, which gives o = e + 63.\n6. Substitute e = 7 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 1980,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 10; a = x + 20; e = 7; w = h + 6; b = y + 15; r = s + 17; k = v + 18; s = b + 14; h = e + 18; o = p + 12; p = k + 4; y = a + 19; v = w + 5. Given that e = 7, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 4", "y": "g + 6", "p": "y + 12", "m": "p + 12", "o": "m + 16", "k": "o + 5", "f": "v + 1", "s": "f + 3", "w": "s + 9", "a": "w + 12", "h": "a + 9", "z": "h + 7", "v": 7}, "premises": {"v": 7}, "target": "k"}, "answer": {"steps": [["o", "m + 16", "m + 21"], ["m", "p + 12", "p + 33"], ["p", "y + 12", "y + 45"], ["y", "g + 6", "g + 51"], ["g", "v + 4", "v + 55"], ["v", 7, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"v": 7}, "is_reverse": true}}
| 1,981
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 3; w = s + 9; f = v + 1; z = h + 7; k = o + 5; h = a + 9; a = w + 12; v = 7; p = y + 12; y = g + 6; m = p + 12; g = v + 4; o = m + 16. Given that v = 7, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 16 to k, which gives k = m + 21.\n2. Substitute m = p + 12 to k, which gives k = p + 33.\n3. Substitute p = y + 12 to k, which gives k = y + 45.\n4. Substitute y = g + 6 to k, which gives k = g + 51.\n5. Substitute g = v + 4 to k, which gives k = v + 55.\n6. Substitute v = 7 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 1981,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 3; w = s + 9; f = v + 1; z = h + 7; k = o + 5; h = a + 9; a = w + 12; v = 7; p = y + 12; y = g + 6; m = p + 12; g = v + 4; o = m + 16. Given that v = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 5", "e": "c + 20", "m": "e + 17", "t": "m + 3", "x": "t + 17", "y": "x + 4", "n": "z + 19", "o": "n + 16", "f": "o + 5", "p": "f + 14", "a": "p + 18", "g": "a + 13", "z": 1}, "premises": {"z": 1}, "target": "y"}, "answer": {"steps": [["x", "t + 17", "t + 21"], ["t", "m + 3", "m + 24"], ["m", "e + 17", "e + 41"], ["e", "c + 20", "c + 61"], ["c", "z + 5", "z + 66"], ["z", 1, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"z": 1}, "is_reverse": true}}
| 1,982
| 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 + 3; n = z + 19; c = z + 5; o = n + 16; z = 1; y = x + 4; e = c + 20; p = f + 14; x = t + 17; g = a + 13; m = e + 17; a = p + 18; f = o + 5. If z = 1, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 17 to y, which gives y = t + 21.\n2. Substitute t = m + 3 to y, which gives y = m + 24.\n3. Substitute m = e + 17 to y, which gives y = e + 41.\n4. Substitute e = c + 20 to y, which gives y = c + 61.\n5. Substitute c = z + 5 to y, which gives y = z + 66.\n6. Substitute z = 1 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 1982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = m + 3; n = z + 19; c = z + 5; o = n + 16; z = 1; y = x + 4; e = c + 20; p = f + 14; x = t + 17; g = a + 13; m = e + 17; a = p + 18; f = o + 5. If z = 1, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 7", "c": "u + 2", "z": "c + 18", "q": "z + 18", "i": "q + 19", "g": "i + 14", "y": "d + 16", "m": "y + 10", "a": "m + 19", "r": "a + 20", "v": "r + 6", "l": "v + 1", "d": 5}, "premises": {"d": 5}, "target": "g"}, "answer": {"steps": [["i", "q + 19", "q + 33"], ["q", "z + 18", "z + 51"], ["z", "c + 18", "c + 69"], ["c", "u + 2", "u + 71"], ["u", "d + 7", "d + 78"], ["d", 5, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"d": 5}, "is_reverse": true}}
| 1,983
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = u + 2; l = v + 1; y = d + 16; g = i + 14; q = z + 18; m = y + 10; z = c + 18; u = d + 7; d = 5; r = a + 20; a = m + 19; i = q + 19; v = r + 6. Given that d = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 19 to g, which gives g = q + 33.\n2. Substitute q = z + 18 to g, which gives g = z + 51.\n3. Substitute z = c + 18 to g, which gives g = c + 69.\n4. Substitute c = u + 2 to g, which gives g = u + 71.\n5. Substitute u = d + 7 to g, which gives g = d + 78.\n6. Substitute d = 5 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 1983,
"question": "Suppose a collection of variables is related by the following definitions: c = u + 2; l = v + 1; y = d + 16; g = i + 14; q = z + 18; m = y + 10; z = c + 18; u = d + 7; d = 5; r = a + 20; a = m + 19; i = q + 19; v = r + 6. Given that d = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 18", "t": "n + 8", "f": "t + 3", "p": "f + 20", "a": "p + 18", "h": "a + 5", "i": "q + 20", "y": "i + 3", "v": "y + 15", "l": "v + 3", "r": "l + 17", "d": "r + 17", "q": 17}, "premises": {"q": 17}, "target": "h"}, "answer": {"steps": [["a", "p + 18", "p + 23"], ["p", "f + 20", "f + 43"], ["f", "t + 3", "t + 46"], ["t", "n + 8", "n + 54"], ["n", "q + 18", "q + 72"], ["q", 17, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"q": 17}, "is_reverse": true}}
| 1,984
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 17; d = r + 17; v = y + 15; y = i + 3; a = p + 18; p = f + 20; q = 17; i = q + 20; h = a + 5; n = q + 18; l = v + 3; t = n + 8; f = t + 3. If q = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 18 to h, which gives h = p + 23.\n2. Substitute p = f + 20 to h, which gives h = f + 43.\n3. Substitute f = t + 3 to h, which gives h = t + 46.\n4. Substitute t = n + 8 to h, which gives h = n + 54.\n5. Substitute n = q + 18 to h, which gives h = q + 72.\n6. Substitute q = 17 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 1984,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 17; d = r + 17; v = y + 15; y = i + 3; a = p + 18; p = f + 20; q = 17; i = q + 20; h = a + 5; n = q + 18; l = v + 3; t = n + 8; f = t + 3. If q = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 4", "z": "b + 20", "q": "z + 8", "j": "q + 6", "g": "j + 11", "h": "g + 6", "l": "r + 12", "v": "l + 17", "t": "v + 15", "u": "t + 19", "i": "u + 4", "y": "i + 1", "r": 15}, "premises": {"r": 15}, "target": "h"}, "answer": {"steps": [["g", "j + 11", "j + 17"], ["j", "q + 6", "q + 23"], ["q", "z + 8", "z + 31"], ["z", "b + 20", "b + 51"], ["b", "r + 4", "r + 55"], ["r", 15, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"r": 15}, "is_reverse": true}}
| 1,985
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 4; y = i + 1; r = 15; j = q + 6; v = l + 17; q = z + 8; g = j + 11; h = g + 6; t = v + 15; z = b + 20; u = t + 19; b = r + 4; l = r + 12. Given that r = 15, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 11 to h, which gives h = j + 17.\n2. Substitute j = q + 6 to h, which gives h = q + 23.\n3. Substitute q = z + 8 to h, which gives h = z + 31.\n4. Substitute z = b + 20 to h, which gives h = b + 51.\n5. Substitute b = r + 4 to h, which gives h = r + 55.\n6. Substitute r = 15 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 1985,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 4; y = i + 1; r = 15; j = q + 6; v = l + 17; q = z + 8; g = j + 11; h = g + 6; t = v + 15; z = b + 20; u = t + 19; b = r + 4; l = r + 12. Given that r = 15, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 19", "o": "y + 10", "f": "o + 2", "v": "f + 19", "h": "v + 14", "u": "h + 20", "z": "m + 16", "g": "z + 2", "l": "g + 16", "k": "l + 14", "q": "k + 8", "b": "q + 18", "m": 15}, "premises": {"m": 15}, "target": "u"}, "answer": {"steps": [["h", "v + 14", "v + 34"], ["v", "f + 19", "f + 53"], ["f", "o + 2", "o + 55"], ["o", "y + 10", "y + 65"], ["y", "m + 19", "m + 84"], ["m", 15, "99"]], "target_var_name": "u", "target_value": 99, "value_dict": {"m": 15}, "is_reverse": true}}
| 1,986
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 2; k = l + 14; b = q + 18; l = g + 16; y = m + 19; o = y + 10; z = m + 16; f = o + 2; u = h + 20; h = v + 14; m = 15; q = k + 8; v = f + 19. If m = 15, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 14 to u, which gives u = v + 34.\n2. Substitute v = f + 19 to u, which gives u = f + 53.\n3. Substitute f = o + 2 to u, which gives u = o + 55.\n4. Substitute o = y + 10 to u, which gives u = y + 65.\n5. Substitute y = m + 19 to u, which gives u = m + 84.\n6. Substitute m = 15 to u, which gives u = 99.\n\nThus, the final answer is u = \\boxed{99}.",
"index": 1986,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 2; k = l + 14; b = q + 18; l = g + 16; y = m + 19; o = y + 10; z = m + 16; f = o + 2; u = h + 20; h = v + 14; m = 15; q = k + 8; v = f + 19. If m = 15, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 6", "x": "s + 16", "z": "x + 3", "v": "z + 16", "b": "v + 15", "a": "b + 2", "q": "m + 6", "e": "q + 14", "h": "e + 5", "n": "h + 2", "d": "n + 1", "y": "d + 5", "m": 19}, "premises": {"m": 19}, "target": "a"}, "answer": {"steps": [["b", "v + 15", "v + 17"], ["v", "z + 16", "z + 33"], ["z", "x + 3", "x + 36"], ["x", "s + 16", "s + 52"], ["s", "m + 6", "m + 58"], ["m", 19, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"m": 19}, "is_reverse": true}}
| 1,987
| 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 = d + 5; v = z + 16; e = q + 14; z = x + 3; a = b + 2; d = n + 1; b = v + 15; q = m + 6; m = 19; n = h + 2; h = e + 5; x = s + 16; s = m + 6. If m = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 15 to a, which gives a = v + 17.\n2. Substitute v = z + 16 to a, which gives a = z + 33.\n3. Substitute z = x + 3 to a, which gives a = x + 36.\n4. Substitute x = s + 16 to a, which gives a = s + 52.\n5. Substitute s = m + 6 to a, which gives a = m + 58.\n6. Substitute m = 19 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 1987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 5; v = z + 16; e = q + 14; z = x + 3; a = b + 2; d = n + 1; b = v + 15; q = m + 6; m = 19; n = h + 2; h = e + 5; x = s + 16; s = m + 6. If m = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 7", "v": "q + 17", "f": "v + 7", "y": "f + 1", "r": "y + 16", "u": "r + 2", "m": "z + 18", "k": "m + 8", "d": "k + 8", "p": "d + 7", "n": "p + 16", "g": "n + 10", "z": 19}, "premises": {"z": 19}, "target": "u"}, "answer": {"steps": [["r", "y + 16", "y + 18"], ["y", "f + 1", "f + 19"], ["f", "v + 7", "v + 26"], ["v", "q + 17", "q + 43"], ["q", "z + 7", "z + 50"], ["z", 19, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"z": 19}, "is_reverse": true}}
| 1,988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 10; z = 19; v = q + 17; p = d + 7; u = r + 2; k = m + 8; q = z + 7; f = v + 7; r = y + 16; n = p + 16; m = z + 18; y = f + 1; d = k + 8. If z = 19, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 16 to u, which gives u = y + 18.\n2. Substitute y = f + 1 to u, which gives u = f + 19.\n3. Substitute f = v + 7 to u, which gives u = v + 26.\n4. Substitute v = q + 17 to u, which gives u = q + 43.\n5. Substitute q = z + 7 to u, which gives u = z + 50.\n6. Substitute z = 19 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 1988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 10; z = 19; v = q + 17; p = d + 7; u = r + 2; k = m + 8; q = z + 7; f = v + 7; r = y + 16; n = p + 16; m = z + 18; y = f + 1; d = k + 8. If z = 19, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"c": "b + 10", "w": "c + 9", "m": "w + 12", "e": "m + 10", "j": "e + 4", "q": "j + 20", "p": "b + 1", "v": "p + 8", "i": "v + 8", "z": "i + 8", "r": "z + 1", "f": "r + 12", "b": 15}, "premises": {"b": 15}, "target": "q"}, "answer": {"steps": [["j", "e + 4", "e + 24"], ["e", "m + 10", "m + 34"], ["m", "w + 12", "w + 46"], ["w", "c + 9", "c + 55"], ["c", "b + 10", "b + 65"], ["b", 15, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"b": 15}, "is_reverse": true}}
| 1,989
| 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 = z + 1; i = v + 8; z = i + 8; b = 15; v = p + 8; p = b + 1; w = c + 9; e = m + 10; m = w + 12; c = b + 10; f = r + 12; q = j + 20; j = e + 4. If b = 15, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 4 to q, which gives q = e + 24.\n2. Substitute e = m + 10 to q, which gives q = m + 34.\n3. Substitute m = w + 12 to q, which gives q = w + 46.\n4. Substitute w = c + 9 to q, which gives q = c + 55.\n5. Substitute c = b + 10 to q, which gives q = b + 65.\n6. Substitute b = 15 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 1989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 1; i = v + 8; z = i + 8; b = 15; v = p + 8; p = b + 1; w = c + 9; e = m + 10; m = w + 12; c = b + 10; f = r + 12; q = j + 20; j = e + 4. If b = 15, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 17", "r": "b + 20", "k": "r + 11", "e": "k + 8", "x": "e + 12", "l": "x + 5", "t": "n + 14", "f": "t + 20", "h": "f + 12", "q": "h + 13", "s": "q + 3", "g": "s + 20", "n": 20}, "premises": {"n": 20}, "target": "l"}, "answer": {"steps": [["x", "e + 12", "e + 17"], ["e", "k + 8", "k + 25"], ["k", "r + 11", "r + 36"], ["r", "b + 20", "b + 56"], ["b", "n + 17", "n + 73"], ["n", 20, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"n": 20}, "is_reverse": true}}
| 1,990
| 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 = r + 11; g = s + 20; b = n + 17; l = x + 5; t = n + 14; x = e + 12; r = b + 20; s = q + 3; h = f + 12; q = h + 13; f = t + 20; e = k + 8; n = 20. If n = 20, what is the resulting 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 x = e + 12 to l, which gives l = e + 17.\n2. Substitute e = k + 8 to l, which gives l = k + 25.\n3. Substitute k = r + 11 to l, which gives l = r + 36.\n4. Substitute r = b + 20 to l, which gives l = b + 56.\n5. Substitute b = n + 17 to l, which gives l = n + 73.\n6. Substitute n = 20 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 1990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 11; g = s + 20; b = n + 17; l = x + 5; t = n + 14; x = e + 12; r = b + 20; s = q + 3; h = f + 12; q = h + 13; f = t + 20; e = k + 8; n = 20. If n = 20, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 10", "q": "u + 6", "v": "q + 2", "z": "v + 11", "f": "z + 1", "t": "f + 14", "o": "s + 4", "k": "o + 11", "p": "k + 14", "l": "p + 11", "i": "l + 12", "a": "i + 19", "s": 19}, "premises": {"s": 19}, "target": "t"}, "answer": {"steps": [["f", "z + 1", "z + 15"], ["z", "v + 11", "v + 26"], ["v", "q + 2", "q + 28"], ["q", "u + 6", "u + 34"], ["u", "s + 10", "s + 44"], ["s", 19, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"s": 19}, "is_reverse": true}}
| 1,991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 12; p = k + 14; f = z + 1; u = s + 10; t = f + 14; o = s + 4; z = v + 11; a = i + 19; s = 19; l = p + 11; v = q + 2; k = o + 11; q = u + 6. If s = 19, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 1 to t, which gives t = z + 15.\n2. Substitute z = v + 11 to t, which gives t = v + 26.\n3. Substitute v = q + 2 to t, which gives t = q + 28.\n4. Substitute q = u + 6 to t, which gives t = u + 34.\n5. Substitute u = s + 10 to t, which gives t = s + 44.\n6. Substitute s = 19 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 1991,
"question": "Consider a system of variables where each variable is defined as follows: i = l + 12; p = k + 14; f = z + 1; u = s + 10; t = f + 14; o = s + 4; z = v + 11; a = i + 19; s = 19; l = p + 11; v = q + 2; k = o + 11; q = u + 6. If s = 19, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 5", "r": "t + 16", "j": "r + 11", "s": "j + 19", "z": "s + 6", "c": "z + 17", "n": "b + 2", "d": "n + 10", "i": "d + 20", "e": "i + 7", "l": "e + 9", "f": "l + 15", "b": 16}, "premises": {"b": 16}, "target": "c"}, "answer": {"steps": [["z", "s + 6", "s + 23"], ["s", "j + 19", "j + 42"], ["j", "r + 11", "r + 53"], ["r", "t + 16", "t + 69"], ["t", "b + 5", "b + 74"], ["b", 16, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"b": 16}, "is_reverse": true}}
| 1,992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 15; b = 16; c = z + 17; j = r + 11; n = b + 2; s = j + 19; z = s + 6; i = d + 20; t = b + 5; l = e + 9; d = n + 10; r = t + 16; e = i + 7. If b = 16, 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 z = s + 6 to c, which gives c = s + 23.\n2. Substitute s = j + 19 to c, which gives c = j + 42.\n3. Substitute j = r + 11 to c, which gives c = r + 53.\n4. Substitute r = t + 16 to c, which gives c = t + 69.\n5. Substitute t = b + 5 to c, which gives c = b + 74.\n6. Substitute b = 16 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 1992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 15; b = 16; c = z + 17; j = r + 11; n = b + 2; s = j + 19; z = s + 6; i = d + 20; t = b + 5; l = e + 9; d = n + 10; r = t + 16; e = i + 7. If b = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 2", "i": "h + 4", "n": "i + 5", "a": "n + 4", "m": "a + 14", "e": "m + 4", "l": "t + 16", "w": "l + 15", "s": "w + 1", "v": "s + 1", "b": "v + 5", "p": "b + 5", "t": 12}, "premises": {"t": 12}, "target": "e"}, "answer": {"steps": [["m", "a + 14", "a + 18"], ["a", "n + 4", "n + 22"], ["n", "i + 5", "i + 27"], ["i", "h + 4", "h + 31"], ["h", "t + 2", "t + 33"], ["t", 12, "45"]], "target_var_name": "e", "target_value": 45, "value_dict": {"t": 12}, "is_reverse": true}}
| 1,993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 4; p = b + 5; v = s + 1; w = l + 15; t = 12; s = w + 1; l = t + 16; h = t + 2; e = m + 4; a = n + 4; b = v + 5; n = i + 5; m = a + 14. Given that t = 12, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 14 to e, which gives e = a + 18.\n2. Substitute a = n + 4 to e, which gives e = n + 22.\n3. Substitute n = i + 5 to e, which gives e = i + 27.\n4. Substitute i = h + 4 to e, which gives e = h + 31.\n5. Substitute h = t + 2 to e, which gives e = t + 33.\n6. Substitute t = 12 to e, which gives e = 45.\n\nThus, the final answer is e = \\boxed{45}.",
"index": 1993,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 4; p = b + 5; v = s + 1; w = l + 15; t = 12; s = w + 1; l = t + 16; h = t + 2; e = m + 4; a = n + 4; b = v + 5; n = i + 5; m = a + 14. Given that t = 12, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 7", "d": "j + 12", "o": "d + 3", "e": "o + 8", "l": "e + 13", "s": "l + 18", "h": "t + 5", "q": "h + 11", "a": "q + 5", "p": "a + 2", "z": "p + 8", "c": "z + 13", "t": 3}, "premises": {"t": 3}, "target": "s"}, "answer": {"steps": [["l", "e + 13", "e + 31"], ["e", "o + 8", "o + 39"], ["o", "d + 3", "d + 42"], ["d", "j + 12", "j + 54"], ["j", "t + 7", "t + 61"], ["t", 3, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"t": 3}, "is_reverse": true}}
| 1,994
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 13; s = l + 18; l = e + 13; j = t + 7; t = 3; p = a + 2; e = o + 8; a = q + 5; q = h + 11; d = j + 12; z = p + 8; o = d + 3; h = t + 5. Given that t = 3, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 13 to s, which gives s = e + 31.\n2. Substitute e = o + 8 to s, which gives s = o + 39.\n3. Substitute o = d + 3 to s, which gives s = d + 42.\n4. Substitute d = j + 12 to s, which gives s = j + 54.\n5. Substitute j = t + 7 to s, which gives s = t + 61.\n6. Substitute t = 3 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 1994,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 13; s = l + 18; l = e + 13; j = t + 7; t = 3; p = a + 2; e = o + 8; a = q + 5; q = h + 11; d = j + 12; z = p + 8; o = d + 3; h = t + 5. Given that t = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 19", "x": "c + 17", "z": "x + 8", "m": "z + 4", "t": "m + 1", "k": "t + 12", "n": "p + 15", "y": "n + 16", "r": "y + 2", "f": "r + 6", "q": "f + 6", "j": "q + 1", "p": 9}, "premises": {"p": 9}, "target": "k"}, "answer": {"steps": [["t", "m + 1", "m + 13"], ["m", "z + 4", "z + 17"], ["z", "x + 8", "x + 25"], ["x", "c + 17", "c + 42"], ["c", "p + 19", "p + 61"], ["p", 9, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"p": 9}, "is_reverse": true}}
| 1,995
| 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 = y + 2; t = m + 1; j = q + 1; y = n + 16; m = z + 4; c = p + 19; z = x + 8; x = c + 17; n = p + 15; f = r + 6; k = t + 12; q = f + 6; p = 9. If p = 9, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 1 to k, which gives k = m + 13.\n2. Substitute m = z + 4 to k, which gives k = z + 17.\n3. Substitute z = x + 8 to k, which gives k = x + 25.\n4. Substitute x = c + 17 to k, which gives k = c + 42.\n5. Substitute c = p + 19 to k, which gives k = p + 61.\n6. Substitute p = 9 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 1995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = y + 2; t = m + 1; j = q + 1; y = n + 16; m = z + 4; c = p + 19; z = x + 8; x = c + 17; n = p + 15; f = r + 6; k = t + 12; q = f + 6; p = 9. If p = 9, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 8", "a": "m + 16", "v": "a + 9", "o": "v + 10", "x": "o + 7", "e": "x + 6", "n": "r + 1", "b": "n + 7", "c": "b + 4", "t": "c + 10", "q": "t + 9", "z": "q + 17", "r": 5}, "premises": {"r": 5}, "target": "e"}, "answer": {"steps": [["x", "o + 7", "o + 13"], ["o", "v + 10", "v + 23"], ["v", "a + 9", "a + 32"], ["a", "m + 16", "m + 48"], ["m", "r + 8", "r + 56"], ["r", 5, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"r": 5}, "is_reverse": true}}
| 1,996
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 9; z = q + 17; o = v + 10; n = r + 1; b = n + 7; c = b + 4; t = c + 10; m = r + 8; e = x + 6; r = 5; x = o + 7; a = m + 16; v = a + 9. If r = 5, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 7 to e, which gives e = o + 13.\n2. Substitute o = v + 10 to e, which gives e = v + 23.\n3. Substitute v = a + 9 to e, which gives e = a + 32.\n4. Substitute a = m + 16 to e, which gives e = m + 48.\n5. Substitute m = r + 8 to e, which gives e = r + 56.\n6. Substitute r = 5 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 1996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 9; z = q + 17; o = v + 10; n = r + 1; b = n + 7; c = b + 4; t = c + 10; m = r + 8; e = x + 6; r = 5; x = o + 7; a = m + 16; v = a + 9. If r = 5, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 9", "j": "i + 12", "t": "j + 7", "w": "t + 13", "a": "w + 9", "n": "a + 2", "v": "u + 1", "l": "v + 12", "k": "l + 15", "s": "k + 7", "z": "s + 9", "e": "z + 8", "u": 16}, "premises": {"u": 16}, "target": "n"}, "answer": {"steps": [["a", "w + 9", "w + 11"], ["w", "t + 13", "t + 24"], ["t", "j + 7", "j + 31"], ["j", "i + 12", "i + 43"], ["i", "u + 9", "u + 52"], ["u", 16, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"u": 16}, "is_reverse": true}}
| 1,997
| 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 = t + 13; l = v + 12; i = u + 9; j = i + 12; t = j + 7; z = s + 9; v = u + 1; k = l + 15; n = a + 2; s = k + 7; a = w + 9; u = 16; e = z + 8. If u = 16, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 9 to n, which gives n = w + 11.\n2. Substitute w = t + 13 to n, which gives n = t + 24.\n3. Substitute t = j + 7 to n, which gives n = j + 31.\n4. Substitute j = i + 12 to n, which gives n = i + 43.\n5. Substitute i = u + 9 to n, which gives n = u + 52.\n6. Substitute u = 16 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 1997,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 13; l = v + 12; i = u + 9; j = i + 12; t = j + 7; z = s + 9; v = u + 1; k = l + 15; n = a + 2; s = k + 7; a = w + 9; u = 16; e = z + 8. If u = 16, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 2", "v": "g + 3", "a": "v + 4", "b": "a + 11", "n": "b + 2", "l": "n + 5", "k": "d + 2", "q": "k + 19", "s": "q + 16", "i": "s + 1", "r": "i + 15", "o": "r + 10", "d": 10}, "premises": {"d": 10}, "target": "l"}, "answer": {"steps": [["n", "b + 2", "b + 7"], ["b", "a + 11", "a + 18"], ["a", "v + 4", "v + 22"], ["v", "g + 3", "g + 25"], ["g", "d + 2", "d + 27"], ["d", 10, "37"]], "target_var_name": "l", "target_value": 37, "value_dict": {"d": 10}, "is_reverse": true}}
| 1,998
| 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 = d + 2; v = g + 3; o = r + 10; s = q + 16; i = s + 1; q = k + 19; n = b + 2; k = d + 2; l = n + 5; a = v + 4; d = 10; r = i + 15; b = a + 11. If d = 10, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 2 to l, which gives l = b + 7.\n2. Substitute b = a + 11 to l, which gives l = a + 18.\n3. Substitute a = v + 4 to l, which gives l = v + 22.\n4. Substitute v = g + 3 to l, which gives l = g + 25.\n5. Substitute g = d + 2 to l, which gives l = d + 27.\n6. Substitute d = 10 to l, which gives l = 37.\n\nThus, the final answer is l = \\boxed{37}.",
"index": 1998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 2; v = g + 3; o = r + 10; s = q + 16; i = s + 1; q = k + 19; n = b + 2; k = d + 2; l = n + 5; a = v + 4; d = 10; r = i + 15; b = a + 11. If d = 10, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 17", "a": "k + 3", "i": "a + 13", "c": "i + 2", "f": "c + 11", "v": "f + 10", "t": "p + 4", "e": "t + 1", "o": "e + 13", "q": "o + 10", "z": "q + 11", "u": "z + 10", "p": 6}, "premises": {"p": 6}, "target": "v"}, "answer": {"steps": [["f", "c + 11", "c + 21"], ["c", "i + 2", "i + 23"], ["i", "a + 13", "a + 36"], ["a", "k + 3", "k + 39"], ["k", "p + 17", "p + 56"], ["p", 6, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"p": 6}, "is_reverse": true}}
| 1,999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = i + 2; f = c + 11; q = o + 10; a = k + 3; i = a + 13; e = t + 1; k = p + 17; z = q + 11; t = p + 4; v = f + 10; u = z + 10; o = e + 13; p = 6. If p = 6, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 11 to v, which gives v = c + 21.\n2. Substitute c = i + 2 to v, which gives v = i + 23.\n3. Substitute i = a + 13 to v, which gives v = a + 36.\n4. Substitute a = k + 3 to v, which gives v = k + 39.\n5. Substitute k = p + 17 to v, which gives v = p + 56.\n6. Substitute p = 6 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 1999,
"question": "Consider a system of variables where each variable is defined as follows: c = i + 2; f = c + 11; q = o + 10; a = k + 3; i = a + 13; e = t + 1; k = p + 17; z = q + 11; t = p + 4; v = f + 10; u = z + 10; o = e + 13; p = 6. If p = 6, determine the value of v.",
"split": "train"
}
|
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