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25.6k
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int64 0
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"k": "o + 18", "a": "k + 7", "i": "a + 2", "p": "i + 19", "u": "p + 6", "q": "u + 2", "s": "o + 5", "r": "s + 6", "b": "r + 7", "f": "b + 17", "c": "f + 13", "j": "c + 4", "o": 8}, "premises": {"o": 8}, "target": "q"}, "answer": {"steps": [["u", "p + 6", "p + 8"], ["p", "i + 19", "i + 27"], ["i", "a + 2", "a + 29"], ["a", "k + 7", "k + 36"], ["k", "o + 18", "o + 54"], ["o", 8, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"o": 8}, "is_reverse": true}}
| 200
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 13; q = u + 2; s = o + 5; o = 8; j = c + 4; f = b + 17; r = s + 6; u = p + 6; k = o + 18; a = k + 7; p = i + 19; i = a + 2; b = r + 7. If o = 8, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 6 to q, which gives q = p + 8.\n2. Substitute p = i + 19 to q, which gives q = i + 27.\n3. Substitute i = a + 2 to q, which gives q = a + 29.\n4. Substitute a = k + 7 to q, which gives q = k + 36.\n5. Substitute k = o + 18 to q, which gives q = o + 54.\n6. Substitute o = 8 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 200,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 13; q = u + 2; s = o + 5; o = 8; j = c + 4; f = b + 17; r = s + 6; u = p + 6; k = o + 18; a = k + 7; p = i + 19; i = a + 2; b = r + 7. If o = 8, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 13", "r": "q + 20", "f": "r + 13", "i": "f + 12", "v": "i + 4", "o": "v + 9", "d": "l + 5", "s": "d + 16", "e": "s + 19", "a": "e + 13", "c": "a + 3", "z": "c + 1", "l": 14}, "premises": {"l": 14}, "target": "o"}, "answer": {"steps": [["v", "i + 4", "i + 13"], ["i", "f + 12", "f + 25"], ["f", "r + 13", "r + 38"], ["r", "q + 20", "q + 58"], ["q", "l + 13", "l + 71"], ["l", 14, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"l": 14}, "is_reverse": true}}
| 201
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 3; l = 14; r = q + 20; i = f + 12; d = l + 5; s = d + 16; f = r + 13; o = v + 9; e = s + 19; q = l + 13; a = e + 13; z = c + 1; v = i + 4. If l = 14, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 4 to o, which gives o = i + 13.\n2. Substitute i = f + 12 to o, which gives o = f + 25.\n3. Substitute f = r + 13 to o, which gives o = r + 38.\n4. Substitute r = q + 20 to o, which gives o = q + 58.\n5. Substitute q = l + 13 to o, which gives o = l + 71.\n6. Substitute l = 14 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 201,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 3; l = 14; r = q + 20; i = f + 12; d = l + 5; s = d + 16; f = r + 13; o = v + 9; e = s + 19; q = l + 13; a = e + 13; z = c + 1; v = i + 4. If l = 14, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 1", "j": "d + 15", "v": "j + 1", "a": "v + 11", "i": "a + 7", "e": "i + 9", "f": "q + 7", "t": "f + 18", "k": "t + 15", "c": "k + 9", "s": "c + 1", "g": "s + 9", "q": 12}, "premises": {"q": 12}, "target": "e"}, "answer": {"steps": [["i", "a + 7", "a + 16"], ["a", "v + 11", "v + 27"], ["v", "j + 1", "j + 28"], ["j", "d + 15", "d + 43"], ["d", "q + 1", "q + 44"], ["q", 12, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"q": 12}, "is_reverse": true}}
| 202
| 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 = f + 18; j = d + 15; d = q + 1; q = 12; g = s + 9; e = i + 9; s = c + 1; i = a + 7; c = k + 9; k = t + 15; a = v + 11; f = q + 7; v = j + 1. If q = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 7 to e, which gives e = a + 16.\n2. Substitute a = v + 11 to e, which gives e = v + 27.\n3. Substitute v = j + 1 to e, which gives e = j + 28.\n4. Substitute j = d + 15 to e, which gives e = d + 43.\n5. Substitute d = q + 1 to e, which gives e = q + 44.\n6. Substitute q = 12 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 202,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 18; j = d + 15; d = q + 1; q = 12; g = s + 9; e = i + 9; s = c + 1; i = a + 7; c = k + 9; k = t + 15; a = v + 11; f = q + 7; v = j + 1. If q = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 2", "a": "m + 13", "l": "a + 11", "r": "l + 11", "v": "r + 4", "h": "v + 7", "s": "d + 19", "w": "s + 10", "j": "w + 6", "p": "j + 5", "c": "p + 19", "f": "c + 12", "d": 5}, "premises": {"d": 5}, "target": "h"}, "answer": {"steps": [["v", "r + 4", "r + 11"], ["r", "l + 11", "l + 22"], ["l", "a + 11", "a + 33"], ["a", "m + 13", "m + 46"], ["m", "d + 2", "d + 48"], ["d", 5, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"d": 5}, "is_reverse": true}}
| 203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 5; j = w + 6; l = a + 11; r = l + 11; a = m + 13; p = j + 5; w = s + 10; v = r + 4; s = d + 19; f = c + 12; m = d + 2; c = p + 19; h = v + 7. If d = 5, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 4 to h, which gives h = r + 11.\n2. Substitute r = l + 11 to h, which gives h = l + 22.\n3. Substitute l = a + 11 to h, which gives h = a + 33.\n4. Substitute a = m + 13 to h, which gives h = m + 46.\n5. Substitute m = d + 2 to h, which gives h = d + 48.\n6. Substitute d = 5 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 203,
"question": "Consider a system of variables where each variable is defined as follows: d = 5; j = w + 6; l = a + 11; r = l + 11; a = m + 13; p = j + 5; w = s + 10; v = r + 4; s = d + 19; f = c + 12; m = d + 2; c = p + 19; h = v + 7. If d = 5, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 15", "e": "w + 18", "v": "e + 14", "t": "v + 6", "d": "t + 5", "j": "d + 11", "z": "y + 8", "x": "z + 16", "s": "x + 4", "k": "s + 14", "i": "k + 2", "b": "i + 10", "y": 4}, "premises": {"y": 4}, "target": "j"}, "answer": {"steps": [["d", "t + 5", "t + 16"], ["t", "v + 6", "v + 22"], ["v", "e + 14", "e + 36"], ["e", "w + 18", "w + 54"], ["w", "y + 15", "y + 69"], ["y", 4, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"y": 4}, "is_reverse": true}}
| 204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 5; b = i + 10; x = z + 16; i = k + 2; v = e + 14; s = x + 4; z = y + 8; w = y + 15; j = d + 11; k = s + 14; y = 4; t = v + 6; e = w + 18. If y = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 5 to j, which gives j = t + 16.\n2. Substitute t = v + 6 to j, which gives j = v + 22.\n3. Substitute v = e + 14 to j, which gives j = e + 36.\n4. Substitute e = w + 18 to j, which gives j = w + 54.\n5. Substitute w = y + 15 to j, which gives j = y + 69.\n6. Substitute y = 4 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 204,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 5; b = i + 10; x = z + 16; i = k + 2; v = e + 14; s = x + 4; z = y + 8; w = y + 15; j = d + 11; k = s + 14; y = 4; t = v + 6; e = w + 18. If y = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 8", "i": "k + 19", "j": "i + 9", "g": "j + 4", "c": "g + 13", "m": "c + 5", "e": "z + 6", "l": "e + 14", "d": "l + 7", "p": "d + 16", "q": "p + 20", "u": "q + 14", "z": 18}, "premises": {"z": 18}, "target": "m"}, "answer": {"steps": [["c", "g + 13", "g + 18"], ["g", "j + 4", "j + 22"], ["j", "i + 9", "i + 31"], ["i", "k + 19", "k + 50"], ["k", "z + 8", "z + 58"], ["z", 18, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"z": 18}, "is_reverse": true}}
| 205
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 4; l = e + 14; i = k + 19; k = z + 8; u = q + 14; q = p + 20; e = z + 6; j = i + 9; d = l + 7; z = 18; m = c + 5; c = g + 13; p = d + 16. Given that z = 18, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 13 to m, which gives m = g + 18.\n2. Substitute g = j + 4 to m, which gives m = j + 22.\n3. Substitute j = i + 9 to m, which gives m = i + 31.\n4. Substitute i = k + 19 to m, which gives m = k + 50.\n5. Substitute k = z + 8 to m, which gives m = z + 58.\n6. Substitute z = 18 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 205,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 4; l = e + 14; i = k + 19; k = z + 8; u = q + 14; q = p + 20; e = z + 6; j = i + 9; d = l + 7; z = 18; m = c + 5; c = g + 13; p = d + 16. Given that z = 18, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 19", "p": "h + 16", "g": "p + 6", "l": "g + 2", "q": "l + 8", "n": "q + 11", "v": "f + 8", "e": "v + 13", "y": "e + 14", "t": "y + 1", "m": "t + 3", "z": "m + 3", "f": 6}, "premises": {"f": 6}, "target": "n"}, "answer": {"steps": [["q", "l + 8", "l + 19"], ["l", "g + 2", "g + 21"], ["g", "p + 6", "p + 27"], ["p", "h + 16", "h + 43"], ["h", "f + 19", "f + 62"], ["f", 6, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"f": 6}, "is_reverse": true}}
| 206
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 8; q = l + 8; n = q + 11; t = y + 1; p = h + 16; e = v + 13; l = g + 2; f = 6; h = f + 19; g = p + 6; y = e + 14; m = t + 3; z = m + 3. Given that f = 6, find the 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 q = l + 8 to n, which gives n = l + 19.\n2. Substitute l = g + 2 to n, which gives n = g + 21.\n3. Substitute g = p + 6 to n, which gives n = p + 27.\n4. Substitute p = h + 16 to n, which gives n = h + 43.\n5. Substitute h = f + 19 to n, which gives n = f + 62.\n6. Substitute f = 6 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 206,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 8; q = l + 8; n = q + 11; t = y + 1; p = h + 16; e = v + 13; l = g + 2; f = 6; h = f + 19; g = p + 6; y = e + 14; m = t + 3; z = m + 3. Given that f = 6, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 11", "u": "h + 14", "j": "u + 16", "y": "j + 20", "t": "y + 12", "b": "t + 10", "q": "o + 2", "f": "q + 2", "v": "f + 7", "g": "v + 6", "i": "g + 9", "c": "i + 14", "o": 17}, "premises": {"o": 17}, "target": "b"}, "answer": {"steps": [["t", "y + 12", "y + 22"], ["y", "j + 20", "j + 42"], ["j", "u + 16", "u + 58"], ["u", "h + 14", "h + 72"], ["h", "o + 11", "o + 83"], ["o", 17, "100"]], "target_var_name": "b", "target_value": 100, "value_dict": {"o": 17}, "is_reverse": true}}
| 207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 14; j = u + 16; q = o + 2; b = t + 10; i = g + 9; o = 17; h = o + 11; t = y + 12; y = j + 20; v = f + 7; c = i + 14; f = q + 2; g = v + 6. Given that o = 17, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 12 to b, which gives b = y + 22.\n2. Substitute y = j + 20 to b, which gives b = j + 42.\n3. Substitute j = u + 16 to b, which gives b = u + 58.\n4. Substitute u = h + 14 to b, which gives b = h + 72.\n5. Substitute h = o + 11 to b, which gives b = o + 83.\n6. Substitute o = 17 to b, which gives b = 100.\n\nThus, the final answer is b = \\boxed{100}.",
"index": 207,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 14; j = u + 16; q = o + 2; b = t + 10; i = g + 9; o = 17; h = o + 11; t = y + 12; y = j + 20; v = f + 7; c = i + 14; f = q + 2; g = v + 6. Given that o = 17, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 13", "l": "s + 2", "g": "l + 15", "u": "g + 3", "o": "u + 4", "d": "o + 20", "c": "y + 8", "n": "c + 9", "r": "n + 16", "p": "r + 13", "k": "p + 2", "a": "k + 4", "y": 13}, "premises": {"y": 13}, "target": "d"}, "answer": {"steps": [["o", "u + 4", "u + 24"], ["u", "g + 3", "g + 27"], ["g", "l + 15", "l + 42"], ["l", "s + 2", "s + 44"], ["s", "y + 13", "y + 57"], ["y", 13, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"y": 13}, "is_reverse": true}}
| 208
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 2; a = k + 4; d = o + 20; n = c + 9; p = r + 13; y = 13; s = y + 13; c = y + 8; o = u + 4; k = p + 2; r = n + 16; g = l + 15; u = g + 3. If y = 13, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 4 to d, which gives d = u + 24.\n2. Substitute u = g + 3 to d, which gives d = g + 27.\n3. Substitute g = l + 15 to d, which gives d = l + 42.\n4. Substitute l = s + 2 to d, which gives d = s + 44.\n5. Substitute s = y + 13 to d, which gives d = y + 57.\n6. Substitute y = 13 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 208,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 2; a = k + 4; d = o + 20; n = c + 9; p = r + 13; y = 13; s = y + 13; c = y + 8; o = u + 4; k = p + 2; r = n + 16; g = l + 15; u = g + 3. If y = 13, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 8", "g": "z + 6", "j": "g + 3", "t": "j + 15", "f": "t + 6", "k": "f + 13", "d": "x + 16", "e": "d + 17", "p": "e + 3", "s": "p + 20", "n": "s + 19", "y": "n + 19", "x": 13}, "premises": {"x": 13}, "target": "k"}, "answer": {"steps": [["f", "t + 6", "t + 19"], ["t", "j + 15", "j + 34"], ["j", "g + 3", "g + 37"], ["g", "z + 6", "z + 43"], ["z", "x + 8", "x + 51"], ["x", 13, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"x": 13}, "is_reverse": true}}
| 209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 20; z = x + 8; n = s + 19; p = e + 3; k = f + 13; g = z + 6; y = n + 19; e = d + 17; d = x + 16; j = g + 3; x = 13; f = t + 6; t = j + 15. If x = 13, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 6 to k, which gives k = t + 19.\n2. Substitute t = j + 15 to k, which gives k = j + 34.\n3. Substitute j = g + 3 to k, which gives k = g + 37.\n4. Substitute g = z + 6 to k, which gives k = z + 43.\n5. Substitute z = x + 8 to k, which gives k = x + 51.\n6. Substitute x = 13 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 20; z = x + 8; n = s + 19; p = e + 3; k = f + 13; g = z + 6; y = n + 19; e = d + 17; d = x + 16; j = g + 3; x = 13; f = t + 6; t = j + 15. If x = 13, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 7", "o": "e + 19", "n": "o + 5", "q": "n + 2", "t": "q + 9", "b": "t + 9", "v": "l + 14", "w": "v + 16", "y": "w + 3", "z": "y + 18", "i": "z + 9", "x": "i + 15", "l": 15}, "premises": {"l": 15}, "target": "b"}, "answer": {"steps": [["t", "q + 9", "q + 18"], ["q", "n + 2", "n + 20"], ["n", "o + 5", "o + 25"], ["o", "e + 19", "e + 44"], ["e", "l + 7", "l + 51"], ["l", 15, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"l": 15}, "is_reverse": true}}
| 210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 18; n = o + 5; e = l + 7; i = z + 9; t = q + 9; b = t + 9; w = v + 16; l = 15; y = w + 3; v = l + 14; q = n + 2; x = i + 15; o = e + 19. If l = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 9 to b, which gives b = q + 18.\n2. Substitute q = n + 2 to b, which gives b = n + 20.\n3. Substitute n = o + 5 to b, which gives b = o + 25.\n4. Substitute o = e + 19 to b, which gives b = e + 44.\n5. Substitute e = l + 7 to b, which gives b = l + 51.\n6. Substitute l = 15 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 210,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 18; n = o + 5; e = l + 7; i = z + 9; t = q + 9; b = t + 9; w = v + 16; l = 15; y = w + 3; v = l + 14; q = n + 2; x = i + 15; o = e + 19. If l = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 3", "h": "m + 18", "a": "h + 3", "q": "a + 20", "r": "q + 20", "n": "r + 8", "g": "k + 8", "w": "g + 6", "y": "w + 13", "d": "y + 18", "l": "d + 9", "t": "l + 9", "k": 20}, "premises": {"k": 20}, "target": "n"}, "answer": {"steps": [["r", "q + 20", "q + 28"], ["q", "a + 20", "a + 48"], ["a", "h + 3", "h + 51"], ["h", "m + 18", "m + 69"], ["m", "k + 3", "k + 72"], ["k", 20, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"k": 20}, "is_reverse": true}}
| 211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 13; t = l + 9; w = g + 6; d = y + 18; k = 20; r = q + 20; a = h + 3; m = k + 3; q = a + 20; h = m + 18; n = r + 8; g = k + 8; l = d + 9. If k = 20, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 20 to n, which gives n = q + 28.\n2. Substitute q = a + 20 to n, which gives n = a + 48.\n3. Substitute a = h + 3 to n, which gives n = h + 51.\n4. Substitute h = m + 18 to n, which gives n = m + 69.\n5. Substitute m = k + 3 to n, which gives n = k + 72.\n6. Substitute k = 20 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 211,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 13; t = l + 9; w = g + 6; d = y + 18; k = 20; r = q + 20; a = h + 3; m = k + 3; q = a + 20; h = m + 18; n = r + 8; g = k + 8; l = d + 9. If k = 20, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 9", "j": "s + 20", "w": "j + 4", "p": "w + 5", "z": "p + 14", "n": "z + 12", "u": "t + 16", "e": "u + 5", "r": "e + 20", "x": "r + 19", "g": "x + 14", "k": "g + 4", "t": 11}, "premises": {"t": 11}, "target": "n"}, "answer": {"steps": [["z", "p + 14", "p + 26"], ["p", "w + 5", "w + 31"], ["w", "j + 4", "j + 35"], ["j", "s + 20", "s + 55"], ["s", "t + 9", "t + 64"], ["t", 11, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"t": 11}, "is_reverse": true}}
| 212
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 12; k = g + 4; x = r + 19; e = u + 5; t = 11; p = w + 5; z = p + 14; s = t + 9; r = e + 20; j = s + 20; u = t + 16; g = x + 14; w = j + 4. If t = 11, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 14 to n, which gives n = p + 26.\n2. Substitute p = w + 5 to n, which gives n = w + 31.\n3. Substitute w = j + 4 to n, which gives n = j + 35.\n4. Substitute j = s + 20 to n, which gives n = s + 55.\n5. Substitute s = t + 9 to n, which gives n = t + 64.\n6. Substitute t = 11 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 12; k = g + 4; x = r + 19; e = u + 5; t = 11; p = w + 5; z = p + 14; s = t + 9; r = e + 20; j = s + 20; u = t + 16; g = x + 14; w = j + 4. If t = 11, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 5", "i": "u + 18", "d": "i + 11", "f": "d + 19", "n": "f + 16", "w": "n + 10", "v": "x + 12", "y": "v + 13", "g": "y + 11", "a": "g + 13", "k": "a + 3", "e": "k + 18", "x": 4}, "premises": {"x": 4}, "target": "w"}, "answer": {"steps": [["n", "f + 16", "f + 26"], ["f", "d + 19", "d + 45"], ["d", "i + 11", "i + 56"], ["i", "u + 18", "u + 74"], ["u", "x + 5", "x + 79"], ["x", 4, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"x": 4}, "is_reverse": true}}
| 213
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 18; g = y + 11; w = n + 10; n = f + 16; x = 4; k = a + 3; v = x + 12; y = v + 13; d = i + 11; f = d + 19; u = x + 5; a = g + 13; i = u + 18. If x = 4, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 16 to w, which gives w = f + 26.\n2. Substitute f = d + 19 to w, which gives w = d + 45.\n3. Substitute d = i + 11 to w, which gives w = i + 56.\n4. Substitute i = u + 18 to w, which gives w = u + 74.\n5. Substitute u = x + 5 to w, which gives w = x + 79.\n6. Substitute x = 4 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 213,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 18; g = y + 11; w = n + 10; n = f + 16; x = 4; k = a + 3; v = x + 12; y = v + 13; d = i + 11; f = d + 19; u = x + 5; a = g + 13; i = u + 18. If x = 4, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 4", "y": "m + 2", "u": "y + 11", "g": "u + 5", "z": "g + 7", "e": "z + 6", "o": "n + 13", "a": "o + 9", "p": "a + 6", "t": "p + 7", "d": "t + 7", "j": "d + 11", "n": 6}, "premises": {"n": 6}, "target": "e"}, "answer": {"steps": [["z", "g + 7", "g + 13"], ["g", "u + 5", "u + 18"], ["u", "y + 11", "y + 29"], ["y", "m + 2", "m + 31"], ["m", "n + 4", "n + 35"], ["n", 6, "41"]], "target_var_name": "e", "target_value": 41, "value_dict": {"n": 6}, "is_reverse": true}}
| 214
| 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 = d + 11; d = t + 7; y = m + 2; m = n + 4; a = o + 9; o = n + 13; p = a + 6; t = p + 7; e = z + 6; z = g + 7; g = u + 5; u = y + 11; n = 6. If n = 6, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 7 to e, which gives e = g + 13.\n2. Substitute g = u + 5 to e, which gives e = u + 18.\n3. Substitute u = y + 11 to e, which gives e = y + 29.\n4. Substitute y = m + 2 to e, which gives e = m + 31.\n5. Substitute m = n + 4 to e, which gives e = n + 35.\n6. Substitute n = 6 to e, which gives e = 41.\n\nThus, the final answer is e = \\boxed{41}.",
"index": 214,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 11; d = t + 7; y = m + 2; m = n + 4; a = o + 9; o = n + 13; p = a + 6; t = p + 7; e = z + 6; z = g + 7; g = u + 5; u = y + 11; n = 6. If n = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 20", "w": "r + 14", "c": "w + 6", "y": "c + 3", "g": "y + 20", "t": "g + 20", "n": "l + 3", "h": "n + 14", "f": "h + 7", "u": "f + 13", "j": "u + 20", "x": "j + 20", "l": 11}, "premises": {"l": 11}, "target": "t"}, "answer": {"steps": [["g", "y + 20", "y + 40"], ["y", "c + 3", "c + 43"], ["c", "w + 6", "w + 49"], ["w", "r + 14", "r + 63"], ["r", "l + 20", "l + 83"], ["l", 11, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"l": 11}, "is_reverse": true}}
| 215
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = 11; j = u + 20; u = f + 13; y = c + 3; t = g + 20; w = r + 14; x = j + 20; f = h + 7; c = w + 6; g = y + 20; h = n + 14; r = l + 20; n = l + 3. Given that l = 11, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 20 to t, which gives t = y + 40.\n2. Substitute y = c + 3 to t, which gives t = c + 43.\n3. Substitute c = w + 6 to t, which gives t = w + 49.\n4. Substitute w = r + 14 to t, which gives t = r + 63.\n5. Substitute r = l + 20 to t, which gives t = l + 83.\n6. Substitute l = 11 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 215,
"question": "Suppose a collection of variables is related by the following definitions: l = 11; j = u + 20; u = f + 13; y = c + 3; t = g + 20; w = r + 14; x = j + 20; f = h + 7; c = w + 6; g = y + 20; h = n + 14; r = l + 20; n = l + 3. Given that l = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 3", "t": "i + 17", "u": "t + 12", "c": "u + 20", "l": "c + 6", "p": "l + 12", "j": "v + 13", "a": "j + 7", "h": "a + 11", "e": "h + 17", "m": "e + 2", "n": "m + 4", "v": 12}, "premises": {"v": 12}, "target": "p"}, "answer": {"steps": [["l", "c + 6", "c + 18"], ["c", "u + 20", "u + 38"], ["u", "t + 12", "t + 50"], ["t", "i + 17", "i + 67"], ["i", "v + 3", "v + 70"], ["v", 12, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"v": 12}, "is_reverse": true}}
| 216
| 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 = t + 12; h = a + 11; p = l + 12; m = e + 2; j = v + 13; a = j + 7; n = m + 4; l = c + 6; i = v + 3; c = u + 20; v = 12; t = i + 17; e = h + 17. If v = 12, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 6 to p, which gives p = c + 18.\n2. Substitute c = u + 20 to p, which gives p = u + 38.\n3. Substitute u = t + 12 to p, which gives p = t + 50.\n4. Substitute t = i + 17 to p, which gives p = i + 67.\n5. Substitute i = v + 3 to p, which gives p = v + 70.\n6. Substitute v = 12 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 216,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 12; h = a + 11; p = l + 12; m = e + 2; j = v + 13; a = j + 7; n = m + 4; l = c + 6; i = v + 3; c = u + 20; v = 12; t = i + 17; e = h + 17. If v = 12, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 6", "o": "g + 11", "k": "o + 3", "i": "k + 13", "q": "i + 2", "e": "q + 11", "n": "z + 13", "y": "n + 14", "h": "y + 18", "f": "h + 8", "s": "f + 1", "a": "s + 4", "z": 9}, "premises": {"z": 9}, "target": "e"}, "answer": {"steps": [["q", "i + 2", "i + 13"], ["i", "k + 13", "k + 26"], ["k", "o + 3", "o + 29"], ["o", "g + 11", "g + 40"], ["g", "z + 6", "z + 46"], ["z", 9, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"z": 9}, "is_reverse": true}}
| 217
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 11; g = z + 6; y = n + 14; h = y + 18; k = o + 3; f = h + 8; e = q + 11; z = 9; a = s + 4; n = z + 13; q = i + 2; s = f + 1; i = k + 13. Given that z = 9, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 2 to e, which gives e = i + 13.\n2. Substitute i = k + 13 to e, which gives e = k + 26.\n3. Substitute k = o + 3 to e, which gives e = o + 29.\n4. Substitute o = g + 11 to e, which gives e = g + 40.\n5. Substitute g = z + 6 to e, which gives e = z + 46.\n6. Substitute z = 9 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 217,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 11; g = z + 6; y = n + 14; h = y + 18; k = o + 3; f = h + 8; e = q + 11; z = 9; a = s + 4; n = z + 13; q = i + 2; s = f + 1; i = k + 13. Given that z = 9, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 7", "l": "h + 16", "a": "l + 6", "s": "a + 4", "x": "s + 9", "f": "x + 17", "o": "u + 6", "e": "o + 16", "z": "e + 15", "n": "z + 16", "t": "n + 6", "v": "t + 12", "u": 9}, "premises": {"u": 9}, "target": "f"}, "answer": {"steps": [["x", "s + 9", "s + 26"], ["s", "a + 4", "a + 30"], ["a", "l + 6", "l + 36"], ["l", "h + 16", "h + 52"], ["h", "u + 7", "u + 59"], ["u", 9, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"u": 9}, "is_reverse": true}}
| 218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 16; n = z + 16; o = u + 6; f = x + 17; l = h + 16; a = l + 6; z = e + 15; x = s + 9; v = t + 12; u = 9; s = a + 4; t = n + 6; h = u + 7. Given that u = 9, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 9 to f, which gives f = s + 26.\n2. Substitute s = a + 4 to f, which gives f = a + 30.\n3. Substitute a = l + 6 to f, which gives f = l + 36.\n4. Substitute l = h + 16 to f, which gives f = h + 52.\n5. Substitute h = u + 7 to f, which gives f = u + 59.\n6. Substitute u = 9 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 218,
"question": "Suppose a collection of variables is related by the following definitions: e = o + 16; n = z + 16; o = u + 6; f = x + 17; l = h + 16; a = l + 6; z = e + 15; x = s + 9; v = t + 12; u = 9; s = a + 4; t = n + 6; h = u + 7. Given that u = 9, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 11", "q": "i + 3", "h": "q + 12", "v": "h + 10", "g": "v + 15", "n": "g + 4", "l": "e + 9", "u": "l + 19", "f": "u + 16", "w": "f + 3", "y": "w + 4", "t": "y + 17", "e": 16}, "premises": {"e": 16}, "target": "n"}, "answer": {"steps": [["g", "v + 15", "v + 19"], ["v", "h + 10", "h + 29"], ["h", "q + 12", "q + 41"], ["q", "i + 3", "i + 44"], ["i", "e + 11", "e + 55"], ["e", 16, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"e": 16}, "is_reverse": true}}
| 219
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = h + 10; t = y + 17; q = i + 3; n = g + 4; u = l + 19; g = v + 15; f = u + 16; e = 16; w = f + 3; y = w + 4; l = e + 9; i = e + 11; h = q + 12. Given that e = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 15 to n, which gives n = v + 19.\n2. Substitute v = h + 10 to n, which gives n = h + 29.\n3. Substitute h = q + 12 to n, which gives n = q + 41.\n4. Substitute q = i + 3 to n, which gives n = i + 44.\n5. Substitute i = e + 11 to n, which gives n = e + 55.\n6. Substitute e = 16 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 219,
"question": "Suppose a collection of variables is related by the following definitions: v = h + 10; t = y + 17; q = i + 3; n = g + 4; u = l + 19; g = v + 15; f = u + 16; e = 16; w = f + 3; y = w + 4; l = e + 9; i = e + 11; h = q + 12. Given that e = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 9", "b": "g + 13", "y": "b + 13", "n": "y + 7", "d": "n + 16", "v": "d + 7", "s": "k + 6", "m": "s + 13", "c": "m + 7", "u": "c + 12", "t": "u + 12", "w": "t + 14", "k": 2}, "premises": {"k": 2}, "target": "v"}, "answer": {"steps": [["d", "n + 16", "n + 23"], ["n", "y + 7", "y + 30"], ["y", "b + 13", "b + 43"], ["b", "g + 13", "g + 56"], ["g", "k + 9", "k + 65"], ["k", 2, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"k": 2}, "is_reverse": true}}
| 220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = u + 12; v = d + 7; u = c + 12; s = k + 6; c = m + 7; k = 2; g = k + 9; y = b + 13; b = g + 13; n = y + 7; d = n + 16; w = t + 14; m = s + 13. Given that k = 2, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 16 to v, which gives v = n + 23.\n2. Substitute n = y + 7 to v, which gives v = y + 30.\n3. Substitute y = b + 13 to v, which gives v = b + 43.\n4. Substitute b = g + 13 to v, which gives v = g + 56.\n5. Substitute g = k + 9 to v, which gives v = k + 65.\n6. Substitute k = 2 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 220,
"question": "Suppose a collection of variables is related by the following definitions: t = u + 12; v = d + 7; u = c + 12; s = k + 6; c = m + 7; k = 2; g = k + 9; y = b + 13; b = g + 13; n = y + 7; d = n + 16; w = t + 14; m = s + 13. Given that k = 2, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 4", "v": "e + 12", "a": "v + 1", "x": "a + 16", "j": "x + 17", "g": "j + 20", "q": "w + 7", "i": "q + 9", "o": "i + 1", "c": "o + 13", "h": "c + 12", "p": "h + 18", "w": 17}, "premises": {"w": 17}, "target": "g"}, "answer": {"steps": [["j", "x + 17", "x + 37"], ["x", "a + 16", "a + 53"], ["a", "v + 1", "v + 54"], ["v", "e + 12", "e + 66"], ["e", "w + 4", "w + 70"], ["w", 17, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"w": 17}, "is_reverse": true}}
| 221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 17; w = 17; i = q + 9; o = i + 1; a = v + 1; g = j + 20; e = w + 4; c = o + 13; v = e + 12; x = a + 16; p = h + 18; q = w + 7; h = c + 12. If w = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 17 to g, which gives g = x + 37.\n2. Substitute x = a + 16 to g, which gives g = a + 53.\n3. Substitute a = v + 1 to g, which gives g = v + 54.\n4. Substitute v = e + 12 to g, which gives g = e + 66.\n5. Substitute e = w + 4 to g, which gives g = w + 70.\n6. Substitute w = 17 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 221,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 17; w = 17; i = q + 9; o = i + 1; a = v + 1; g = j + 20; e = w + 4; c = o + 13; v = e + 12; x = a + 16; p = h + 18; q = w + 7; h = c + 12. If w = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 18", "o": "f + 1", "r": "o + 8", "v": "r + 17", "w": "v + 3", "b": "w + 9", "y": "j + 13", "a": "y + 15", "q": "a + 16", "n": "q + 2", "m": "n + 20", "e": "m + 10", "j": 17}, "premises": {"j": 17}, "target": "b"}, "answer": {"steps": [["w", "v + 3", "v + 12"], ["v", "r + 17", "r + 29"], ["r", "o + 8", "o + 37"], ["o", "f + 1", "f + 38"], ["f", "j + 18", "j + 56"], ["j", 17, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"j": 17}, "is_reverse": true}}
| 222
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 1; f = j + 18; a = y + 15; w = v + 3; n = q + 2; q = a + 16; e = m + 10; v = r + 17; m = n + 20; b = w + 9; r = o + 8; y = j + 13; j = 17. If j = 17, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 3 to b, which gives b = v + 12.\n2. Substitute v = r + 17 to b, which gives b = r + 29.\n3. Substitute r = o + 8 to b, which gives b = o + 37.\n4. Substitute o = f + 1 to b, which gives b = f + 38.\n5. Substitute f = j + 18 to b, which gives b = j + 56.\n6. Substitute j = 17 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 222,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 1; f = j + 18; a = y + 15; w = v + 3; n = q + 2; q = a + 16; e = m + 10; v = r + 17; m = n + 20; b = w + 9; r = o + 8; y = j + 13; j = 17. If j = 17, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 5", "f": "g + 3", "o": "f + 1", "v": "o + 15", "j": "v + 10", "a": "j + 5", "e": "m + 15", "h": "e + 9", "u": "h + 7", "w": "u + 17", "i": "w + 4", "q": "i + 12", "m": 5}, "premises": {"m": 5}, "target": "a"}, "answer": {"steps": [["j", "v + 10", "v + 15"], ["v", "o + 15", "o + 30"], ["o", "f + 1", "f + 31"], ["f", "g + 3", "g + 34"], ["g", "m + 5", "m + 39"], ["m", 5, "44"]], "target_var_name": "a", "target_value": 44, "value_dict": {"m": 5}, "is_reverse": true}}
| 223
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = m + 5; h = e + 9; j = v + 10; u = h + 7; i = w + 4; m = 5; v = o + 15; a = j + 5; q = i + 12; f = g + 3; e = m + 15; o = f + 1; w = u + 17. Given that m = 5, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 10 to a, which gives a = v + 15.\n2. Substitute v = o + 15 to a, which gives a = o + 30.\n3. Substitute o = f + 1 to a, which gives a = f + 31.\n4. Substitute f = g + 3 to a, which gives a = g + 34.\n5. Substitute g = m + 5 to a, which gives a = m + 39.\n6. Substitute m = 5 to a, which gives a = 44.\n\nThus, the final answer is a = \\boxed{44}.",
"index": 223,
"question": "Suppose a collection of variables is related by the following definitions: g = m + 5; h = e + 9; j = v + 10; u = h + 7; i = w + 4; m = 5; v = o + 15; a = j + 5; q = i + 12; f = g + 3; e = m + 15; o = f + 1; w = u + 17. Given that m = 5, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 12", "z": "l + 6", "y": "z + 7", "o": "y + 3", "x": "o + 6", "t": "x + 5", "v": "e + 6", "k": "v + 5", "g": "k + 10", "r": "g + 16", "u": "r + 4", "a": "u + 4", "e": 1}, "premises": {"e": 1}, "target": "t"}, "answer": {"steps": [["x", "o + 6", "o + 11"], ["o", "y + 3", "y + 14"], ["y", "z + 7", "z + 21"], ["z", "l + 6", "l + 27"], ["l", "e + 12", "e + 39"], ["e", 1, "40"]], "target_var_name": "t", "target_value": 40, "value_dict": {"e": 1}, "is_reverse": true}}
| 224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = g + 16; x = o + 6; t = x + 5; y = z + 7; v = e + 6; l = e + 12; g = k + 10; k = v + 5; o = y + 3; u = r + 4; e = 1; z = l + 6; a = u + 4. Given that e = 1, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 6 to t, which gives t = o + 11.\n2. Substitute o = y + 3 to t, which gives t = y + 14.\n3. Substitute y = z + 7 to t, which gives t = z + 21.\n4. Substitute z = l + 6 to t, which gives t = l + 27.\n5. Substitute l = e + 12 to t, which gives t = e + 39.\n6. Substitute e = 1 to t, which gives t = 40.\n\nThus, the final answer is t = \\boxed{40}.",
"index": 224,
"question": "Suppose a collection of variables is related by the following definitions: r = g + 16; x = o + 6; t = x + 5; y = z + 7; v = e + 6; l = e + 12; g = k + 10; k = v + 5; o = y + 3; u = r + 4; e = 1; z = l + 6; a = u + 4. Given that e = 1, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 12", "p": "w + 8", "v": "p + 6", "l": "v + 3", "i": "l + 3", "e": "i + 16", "j": "c + 2", "z": "j + 7", "y": "z + 18", "o": "y + 8", "r": "o + 19", "g": "r + 10", "c": 7}, "premises": {"c": 7}, "target": "e"}, "answer": {"steps": [["i", "l + 3", "l + 19"], ["l", "v + 3", "v + 22"], ["v", "p + 6", "p + 28"], ["p", "w + 8", "w + 36"], ["w", "c + 12", "c + 48"], ["c", 7, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"c": 7}, "is_reverse": true}}
| 225
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 3; o = y + 8; r = o + 19; e = i + 16; p = w + 8; w = c + 12; i = l + 3; y = z + 18; z = j + 7; v = p + 6; g = r + 10; c = 7; j = c + 2. Given that c = 7, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 3 to e, which gives e = l + 19.\n2. Substitute l = v + 3 to e, which gives e = v + 22.\n3. Substitute v = p + 6 to e, which gives e = p + 28.\n4. Substitute p = w + 8 to e, which gives e = w + 36.\n5. Substitute w = c + 12 to e, which gives e = c + 48.\n6. Substitute c = 7 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 225,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 3; o = y + 8; r = o + 19; e = i + 16; p = w + 8; w = c + 12; i = l + 3; y = z + 18; z = j + 7; v = p + 6; g = r + 10; c = 7; j = c + 2. Given that c = 7, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 7", "d": "s + 11", "z": "d + 4", "q": "z + 11", "g": "q + 15", "c": "g + 2", "w": "l + 8", "y": "w + 14", "a": "y + 1", "o": "a + 16", "i": "o + 19", "h": "i + 10", "l": 3}, "premises": {"l": 3}, "target": "c"}, "answer": {"steps": [["g", "q + 15", "q + 17"], ["q", "z + 11", "z + 28"], ["z", "d + 4", "d + 32"], ["d", "s + 11", "s + 43"], ["s", "l + 7", "l + 50"], ["l", 3, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"l": 3}, "is_reverse": true}}
| 226
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 1; d = s + 11; o = a + 16; z = d + 4; w = l + 8; c = g + 2; i = o + 19; h = i + 10; s = l + 7; g = q + 15; y = w + 14; q = z + 11; l = 3. If l = 3, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 15 to c, which gives c = q + 17.\n2. Substitute q = z + 11 to c, which gives c = z + 28.\n3. Substitute z = d + 4 to c, which gives c = d + 32.\n4. Substitute d = s + 11 to c, which gives c = s + 43.\n5. Substitute s = l + 7 to c, which gives c = l + 50.\n6. Substitute l = 3 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 226,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 1; d = s + 11; o = a + 16; z = d + 4; w = l + 8; c = g + 2; i = o + 19; h = i + 10; s = l + 7; g = q + 15; y = w + 14; q = z + 11; l = 3. If l = 3, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "u + 11", "l": "d + 1", "x": "l + 12", "s": "x + 19", "i": "s + 6", "q": "i + 9", "b": "u + 17", "c": "b + 9", "k": "c + 16", "a": "k + 8", "o": "a + 20", "e": "o + 20", "u": 19}, "premises": {"u": 19}, "target": "q"}, "answer": {"steps": [["i", "s + 6", "s + 15"], ["s", "x + 19", "x + 34"], ["x", "l + 12", "l + 46"], ["l", "d + 1", "d + 47"], ["d", "u + 11", "u + 58"], ["u", 19, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"u": 19}, "is_reverse": true}}
| 227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = b + 9; b = u + 17; l = d + 1; u = 19; o = a + 20; q = i + 9; a = k + 8; i = s + 6; s = x + 19; k = c + 16; x = l + 12; d = u + 11; e = o + 20. Given that u = 19, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 6 to q, which gives q = s + 15.\n2. Substitute s = x + 19 to q, which gives q = x + 34.\n3. Substitute x = l + 12 to q, which gives q = l + 46.\n4. Substitute l = d + 1 to q, which gives q = d + 47.\n5. Substitute d = u + 11 to q, which gives q = u + 58.\n6. Substitute u = 19 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 227,
"question": "Suppose a collection of variables is related by the following definitions: c = b + 9; b = u + 17; l = d + 1; u = 19; o = a + 20; q = i + 9; a = k + 8; i = s + 6; s = x + 19; k = c + 16; x = l + 12; d = u + 11; e = o + 20. Given that u = 19, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 6", "t": "c + 12", "i": "t + 17", "z": "i + 4", "r": "z + 6", "f": "r + 14", "v": "q + 18", "a": "v + 3", "g": "a + 4", "m": "g + 15", "d": "m + 14", "b": "d + 2", "q": 4}, "premises": {"q": 4}, "target": "f"}, "answer": {"steps": [["r", "z + 6", "z + 20"], ["z", "i + 4", "i + 24"], ["i", "t + 17", "t + 41"], ["t", "c + 12", "c + 53"], ["c", "q + 6", "q + 59"], ["q", 4, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"q": 4}, "is_reverse": true}}
| 228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = g + 15; c = q + 6; b = d + 2; g = a + 4; q = 4; t = c + 12; i = t + 17; z = i + 4; a = v + 3; d = m + 14; v = q + 18; f = r + 14; r = z + 6. Given that q = 4, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 6 to f, which gives f = z + 20.\n2. Substitute z = i + 4 to f, which gives f = i + 24.\n3. Substitute i = t + 17 to f, which gives f = t + 41.\n4. Substitute t = c + 12 to f, which gives f = c + 53.\n5. Substitute c = q + 6 to f, which gives f = q + 59.\n6. Substitute q = 4 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 228,
"question": "Suppose a collection of variables is related by the following definitions: m = g + 15; c = q + 6; b = d + 2; g = a + 4; q = 4; t = c + 12; i = t + 17; z = i + 4; a = v + 3; d = m + 14; v = q + 18; f = r + 14; r = z + 6. Given that q = 4, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 5", "e": "o + 12", "c": "e + 5", "h": "c + 13", "i": "h + 19", "q": "i + 4", "r": "l + 12", "m": "r + 6", "y": "m + 13", "a": "y + 7", "j": "a + 1", "d": "j + 6", "l": 9}, "premises": {"l": 9}, "target": "q"}, "answer": {"steps": [["i", "h + 19", "h + 23"], ["h", "c + 13", "c + 36"], ["c", "e + 5", "e + 41"], ["e", "o + 12", "o + 53"], ["o", "l + 5", "l + 58"], ["l", 9, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"l": 9}, "is_reverse": true}}
| 229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 1; c = e + 5; o = l + 5; y = m + 13; q = i + 4; d = j + 6; a = y + 7; m = r + 6; i = h + 19; h = c + 13; e = o + 12; r = l + 12; l = 9. If l = 9, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 19 to q, which gives q = h + 23.\n2. Substitute h = c + 13 to q, which gives q = c + 36.\n3. Substitute c = e + 5 to q, which gives q = e + 41.\n4. Substitute e = o + 12 to q, which gives q = o + 53.\n5. Substitute o = l + 5 to q, which gives q = l + 58.\n6. Substitute l = 9 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 229,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 1; c = e + 5; o = l + 5; y = m + 13; q = i + 4; d = j + 6; a = y + 7; m = r + 6; i = h + 19; h = c + 13; e = o + 12; r = l + 12; l = 9. If l = 9, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 18", "j": "l + 8", "a": "j + 14", "i": "a + 18", "v": "i + 17", "z": "v + 18", "u": "w + 3", "t": "u + 5", "o": "t + 6", "k": "o + 4", "g": "k + 6", "p": "g + 9", "w": 13}, "premises": {"w": 13}, "target": "z"}, "answer": {"steps": [["v", "i + 17", "i + 35"], ["i", "a + 18", "a + 53"], ["a", "j + 14", "j + 67"], ["j", "l + 8", "l + 75"], ["l", "w + 18", "w + 93"], ["w", 13, "106"]], "target_var_name": "z", "target_value": 106, "value_dict": {"w": 13}, "is_reverse": true}}
| 230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 6; p = g + 9; u = w + 3; w = 13; k = o + 4; a = j + 14; v = i + 17; g = k + 6; j = l + 8; i = a + 18; z = v + 18; l = w + 18; t = u + 5. If w = 13, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 17 to z, which gives z = i + 35.\n2. Substitute i = a + 18 to z, which gives z = a + 53.\n3. Substitute a = j + 14 to z, which gives z = j + 67.\n4. Substitute j = l + 8 to z, which gives z = l + 75.\n5. Substitute l = w + 18 to z, which gives z = w + 93.\n6. Substitute w = 13 to z, which gives z = 106.\n\nThus, the final answer is z = \\boxed{106}.",
"index": 230,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 6; p = g + 9; u = w + 3; w = 13; k = o + 4; a = j + 14; v = i + 17; g = k + 6; j = l + 8; i = a + 18; z = v + 18; l = w + 18; t = u + 5. If w = 13, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"k": "t + 13", "j": "k + 10", "r": "j + 14", "l": "r + 19", "g": "l + 11", "z": "g + 10", "x": "t + 18", "n": "x + 16", "e": "n + 5", "d": "e + 12", "u": "d + 10", "m": "u + 8", "t": 18}, "premises": {"t": 18}, "target": "z"}, "answer": {"steps": [["g", "l + 11", "l + 21"], ["l", "r + 19", "r + 40"], ["r", "j + 14", "j + 54"], ["j", "k + 10", "k + 64"], ["k", "t + 13", "t + 77"], ["t", 18, "95"]], "target_var_name": "z", "target_value": 95, "value_dict": {"t": 18}, "is_reverse": true}}
| 231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 14; u = d + 10; e = n + 5; x = t + 18; t = 18; z = g + 10; l = r + 19; g = l + 11; k = t + 13; m = u + 8; d = e + 12; n = x + 16; j = k + 10. Given that t = 18, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 11 to z, which gives z = l + 21.\n2. Substitute l = r + 19 to z, which gives z = r + 40.\n3. Substitute r = j + 14 to z, which gives z = j + 54.\n4. Substitute j = k + 10 to z, which gives z = k + 64.\n5. Substitute k = t + 13 to z, which gives z = t + 77.\n6. Substitute t = 18 to z, which gives z = 95.\n\nThus, the final answer is z = \\boxed{95}.",
"index": 231,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 14; u = d + 10; e = n + 5; x = t + 18; t = 18; z = g + 10; l = r + 19; g = l + 11; k = t + 13; m = u + 8; d = e + 12; n = x + 16; j = k + 10. Given that t = 18, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 7", "k": "x + 3", "d": "k + 10", "l": "d + 12", "n": "l + 1", "t": "n + 5", "q": "r + 11", "a": "q + 8", "z": "a + 2", "g": "z + 8", "y": "g + 19", "h": "y + 19", "r": 5}, "premises": {"r": 5}, "target": "t"}, "answer": {"steps": [["n", "l + 1", "l + 6"], ["l", "d + 12", "d + 18"], ["d", "k + 10", "k + 28"], ["k", "x + 3", "x + 31"], ["x", "r + 7", "r + 38"], ["r", 5, "43"]], "target_var_name": "t", "target_value": 43, "value_dict": {"r": 5}, "is_reverse": true}}
| 232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 8; z = a + 2; x = r + 7; r = 5; h = y + 19; n = l + 1; k = x + 3; q = r + 11; a = q + 8; l = d + 12; d = k + 10; y = g + 19; t = n + 5. Given that r = 5, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 1 to t, which gives t = l + 6.\n2. Substitute l = d + 12 to t, which gives t = d + 18.\n3. Substitute d = k + 10 to t, which gives t = k + 28.\n4. Substitute k = x + 3 to t, which gives t = x + 31.\n5. Substitute x = r + 7 to t, which gives t = r + 38.\n6. Substitute r = 5 to t, which gives t = 43.\n\nThus, the final answer is t = \\boxed{43}.",
"index": 232,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 8; z = a + 2; x = r + 7; r = 5; h = y + 19; n = l + 1; k = x + 3; q = r + 11; a = q + 8; l = d + 12; d = k + 10; y = g + 19; t = n + 5. Given that r = 5, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 18", "q": "s + 20", "p": "q + 8", "t": "p + 3", "d": "t + 20", "e": "d + 16", "j": "z + 5", "m": "j + 4", "y": "m + 1", "l": "y + 8", "o": "l + 1", "a": "o + 5", "z": 11}, "premises": {"z": 11}, "target": "e"}, "answer": {"steps": [["d", "t + 20", "t + 36"], ["t", "p + 3", "p + 39"], ["p", "q + 8", "q + 47"], ["q", "s + 20", "s + 67"], ["s", "z + 18", "z + 85"], ["z", 11, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"z": 11}, "is_reverse": true}}
| 233
| 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 = j + 4; o = l + 1; d = t + 20; z = 11; l = y + 8; a = o + 5; p = q + 8; y = m + 1; s = z + 18; e = d + 16; j = z + 5; q = s + 20; t = p + 3. If z = 11, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 20 to e, which gives e = t + 36.\n2. Substitute t = p + 3 to e, which gives e = p + 39.\n3. Substitute p = q + 8 to e, which gives e = q + 47.\n4. Substitute q = s + 20 to e, which gives e = s + 67.\n5. Substitute s = z + 18 to e, which gives e = z + 85.\n6. Substitute z = 11 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 233,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 4; o = l + 1; d = t + 20; z = 11; l = y + 8; a = o + 5; p = q + 8; y = m + 1; s = z + 18; e = d + 16; j = z + 5; q = s + 20; t = p + 3. If z = 11, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 11", "i": "w + 11", "d": "i + 9", "a": "d + 14", "v": "a + 3", "p": "v + 8", "f": "l + 16", "x": "f + 8", "u": "x + 16", "o": "u + 20", "e": "o + 8", "k": "e + 11", "l": 1}, "premises": {"l": 1}, "target": "p"}, "answer": {"steps": [["v", "a + 3", "a + 11"], ["a", "d + 14", "d + 25"], ["d", "i + 9", "i + 34"], ["i", "w + 11", "w + 45"], ["w", "l + 11", "l + 56"], ["l", 1, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"l": 1}, "is_reverse": true}}
| 234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 11; w = l + 11; x = f + 8; k = e + 11; v = a + 3; d = i + 9; a = d + 14; p = v + 8; o = u + 20; e = o + 8; u = x + 16; f = l + 16; l = 1. If l = 1, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 3 to p, which gives p = a + 11.\n2. Substitute a = d + 14 to p, which gives p = d + 25.\n3. Substitute d = i + 9 to p, which gives p = i + 34.\n4. Substitute i = w + 11 to p, which gives p = w + 45.\n5. Substitute w = l + 11 to p, which gives p = l + 56.\n6. Substitute l = 1 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 234,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 11; w = l + 11; x = f + 8; k = e + 11; v = a + 3; d = i + 9; a = d + 14; p = v + 8; o = u + 20; e = o + 8; u = x + 16; f = l + 16; l = 1. If l = 1, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 12", "h": "t + 6", "a": "h + 6", "i": "a + 10", "v": "i + 13", "z": "v + 14", "y": "d + 10", "w": "y + 10", "q": "w + 6", "j": "q + 13", "x": "j + 15", "u": "x + 18", "d": 16}, "premises": {"d": 16}, "target": "z"}, "answer": {"steps": [["v", "i + 13", "i + 27"], ["i", "a + 10", "a + 37"], ["a", "h + 6", "h + 43"], ["h", "t + 6", "t + 49"], ["t", "d + 12", "d + 61"], ["d", 16, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"d": 16}, "is_reverse": true}}
| 235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 6; h = t + 6; x = j + 15; j = q + 13; w = y + 10; t = d + 12; q = w + 6; d = 16; v = i + 13; i = a + 10; y = d + 10; z = v + 14; u = x + 18. Given that d = 16, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 13 to z, which gives z = i + 27.\n2. Substitute i = a + 10 to z, which gives z = a + 37.\n3. Substitute a = h + 6 to z, which gives z = h + 43.\n4. Substitute h = t + 6 to z, which gives z = t + 49.\n5. Substitute t = d + 12 to z, which gives z = d + 61.\n6. Substitute d = 16 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 235,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 6; h = t + 6; x = j + 15; j = q + 13; w = y + 10; t = d + 12; q = w + 6; d = 16; v = i + 13; i = a + 10; y = d + 10; z = v + 14; u = x + 18. Given that d = 16, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 12", "y": "c + 2", "e": "y + 3", "q": "e + 19", "g": "q + 11", "a": "g + 12", "z": "s + 11", "b": "z + 18", "u": "b + 20", "l": "u + 9", "n": "l + 15", "i": "n + 1", "s": 3}, "premises": {"s": 3}, "target": "a"}, "answer": {"steps": [["g", "q + 11", "q + 23"], ["q", "e + 19", "e + 42"], ["e", "y + 3", "y + 45"], ["y", "c + 2", "c + 47"], ["c", "s + 12", "s + 59"], ["s", 3, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"s": 3}, "is_reverse": true}}
| 236
| 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 + 20; y = c + 2; e = y + 3; c = s + 12; q = e + 19; a = g + 12; n = l + 15; s = 3; l = u + 9; z = s + 11; i = n + 1; g = q + 11; b = z + 18. If s = 3, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 11 to a, which gives a = q + 23.\n2. Substitute q = e + 19 to a, which gives a = e + 42.\n3. Substitute e = y + 3 to a, which gives a = y + 45.\n4. Substitute y = c + 2 to a, which gives a = c + 47.\n5. Substitute c = s + 12 to a, which gives a = s + 59.\n6. Substitute s = 3 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 236,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 20; y = c + 2; e = y + 3; c = s + 12; q = e + 19; a = g + 12; n = l + 15; s = 3; l = u + 9; z = s + 11; i = n + 1; g = q + 11; b = z + 18. If s = 3, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 13", "w": "g + 20", "o": "w + 20", "n": "o + 10", "e": "n + 19", "y": "e + 4", "f": "m + 15", "z": "f + 13", "l": "z + 3", "i": "l + 6", "j": "i + 17", "u": "j + 16", "m": 8}, "premises": {"m": 8}, "target": "y"}, "answer": {"steps": [["e", "n + 19", "n + 23"], ["n", "o + 10", "o + 33"], ["o", "w + 20", "w + 53"], ["w", "g + 20", "g + 73"], ["g", "m + 13", "m + 86"], ["m", 8, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"m": 8}, "is_reverse": true}}
| 237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 10; g = m + 13; e = n + 19; o = w + 20; l = z + 3; w = g + 20; i = l + 6; u = j + 16; z = f + 13; y = e + 4; j = i + 17; m = 8; f = m + 15. Given that m = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 19 to y, which gives y = n + 23.\n2. Substitute n = o + 10 to y, which gives y = o + 33.\n3. Substitute o = w + 20 to y, which gives y = w + 53.\n4. Substitute w = g + 20 to y, which gives y = g + 73.\n5. Substitute g = m + 13 to y, which gives y = m + 86.\n6. Substitute m = 8 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 237,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 10; g = m + 13; e = n + 19; o = w + 20; l = z + 3; w = g + 20; i = l + 6; u = j + 16; z = f + 13; y = e + 4; j = i + 17; m = 8; f = m + 15. Given that m = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "a + 8", "z": "t + 16", "d": "z + 17", "m": "d + 7", "i": "m + 16", "g": "i + 9", "h": "a + 8", "k": "h + 7", "w": "k + 14", "e": "w + 18", "q": "e + 18", "r": "q + 14", "a": 17}, "premises": {"a": 17}, "target": "g"}, "answer": {"steps": [["i", "m + 16", "m + 25"], ["m", "d + 7", "d + 32"], ["d", "z + 17", "z + 49"], ["z", "t + 16", "t + 65"], ["t", "a + 8", "a + 73"], ["a", 17, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"a": 17}, "is_reverse": true}}
| 238
| 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 + 9; h = a + 8; m = d + 7; t = a + 8; e = w + 18; i = m + 16; d = z + 17; z = t + 16; r = q + 14; a = 17; q = e + 18; w = k + 14; k = h + 7. If a = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 16 to g, which gives g = m + 25.\n2. Substitute m = d + 7 to g, which gives g = d + 32.\n3. Substitute d = z + 17 to g, which gives g = z + 49.\n4. Substitute z = t + 16 to g, which gives g = t + 65.\n5. Substitute t = a + 8 to g, which gives g = a + 73.\n6. Substitute a = 17 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 238,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 9; h = a + 8; m = d + 7; t = a + 8; e = w + 18; i = m + 16; d = z + 17; z = t + 16; r = q + 14; a = 17; q = e + 18; w = k + 14; k = h + 7. If a = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 11", "y": "b + 13", "f": "y + 5", "n": "f + 19", "c": "n + 18", "l": "c + 7", "m": "h + 14", "a": "m + 3", "q": "a + 1", "z": "q + 12", "e": "z + 16", "k": "e + 1", "h": 6}, "premises": {"h": 6}, "target": "l"}, "answer": {"steps": [["c", "n + 18", "n + 25"], ["n", "f + 19", "f + 44"], ["f", "y + 5", "y + 49"], ["y", "b + 13", "b + 62"], ["b", "h + 11", "h + 73"], ["h", 6, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"h": 6}, "is_reverse": true}}
| 239
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 12; c = n + 18; q = a + 1; l = c + 7; n = f + 19; y = b + 13; a = m + 3; k = e + 1; f = y + 5; e = z + 16; b = h + 11; h = 6; m = h + 14. Given that h = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 18 to l, which gives l = n + 25.\n2. Substitute n = f + 19 to l, which gives l = f + 44.\n3. Substitute f = y + 5 to l, which gives l = y + 49.\n4. Substitute y = b + 13 to l, which gives l = b + 62.\n5. Substitute b = h + 11 to l, which gives l = h + 73.\n6. Substitute h = 6 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 239,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 12; c = n + 18; q = a + 1; l = c + 7; n = f + 19; y = b + 13; a = m + 3; k = e + 1; f = y + 5; e = z + 16; b = h + 11; h = 6; m = h + 14. Given that h = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 18", "a": "p + 15", "d": "a + 8", "g": "d + 15", "i": "g + 11", "f": "i + 12", "e": "h + 1", "k": "e + 19", "r": "k + 19", "j": "r + 11", "y": "j + 9", "v": "y + 8", "h": 11}, "premises": {"h": 11}, "target": "f"}, "answer": {"steps": [["i", "g + 11", "g + 23"], ["g", "d + 15", "d + 38"], ["d", "a + 8", "a + 46"], ["a", "p + 15", "p + 61"], ["p", "h + 18", "h + 79"], ["h", 11, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"h": 11}, "is_reverse": true}}
| 240
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 11; g = d + 15; k = e + 19; h = 11; r = k + 19; v = y + 8; f = i + 12; j = r + 11; y = j + 9; e = h + 1; d = a + 8; a = p + 15; p = h + 18. If h = 11, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 11 to f, which gives f = g + 23.\n2. Substitute g = d + 15 to f, which gives f = d + 38.\n3. Substitute d = a + 8 to f, which gives f = a + 46.\n4. Substitute a = p + 15 to f, which gives f = p + 61.\n5. Substitute p = h + 18 to f, which gives f = h + 79.\n6. Substitute h = 11 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 240,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 11; g = d + 15; k = e + 19; h = 11; r = k + 19; v = y + 8; f = i + 12; j = r + 11; y = j + 9; e = h + 1; d = a + 8; a = p + 15; p = h + 18. If h = 11, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 9", "b": "u + 19", "w": "b + 4", "l": "w + 2", "i": "l + 1", "s": "i + 4", "t": "x + 3", "n": "t + 6", "p": "n + 19", "h": "p + 20", "f": "h + 4", "v": "f + 11", "x": 12}, "premises": {"x": 12}, "target": "s"}, "answer": {"steps": [["i", "l + 1", "l + 5"], ["l", "w + 2", "w + 7"], ["w", "b + 4", "b + 11"], ["b", "u + 19", "u + 30"], ["u", "x + 9", "x + 39"], ["x", 12, "51"]], "target_var_name": "s", "target_value": 51, "value_dict": {"x": 12}, "is_reverse": true}}
| 241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 12; u = x + 9; s = i + 4; v = f + 11; b = u + 19; p = n + 19; t = x + 3; l = w + 2; f = h + 4; w = b + 4; n = t + 6; h = p + 20; i = l + 1. If x = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 1 to s, which gives s = l + 5.\n2. Substitute l = w + 2 to s, which gives s = w + 7.\n3. Substitute w = b + 4 to s, which gives s = b + 11.\n4. Substitute b = u + 19 to s, which gives s = u + 30.\n5. Substitute u = x + 9 to s, which gives s = x + 39.\n6. Substitute x = 12 to s, which gives s = 51.\n\nThus, the final answer is s = \\boxed{51}.",
"index": 241,
"question": "Consider a system of variables where each variable is defined as follows: x = 12; u = x + 9; s = i + 4; v = f + 11; b = u + 19; p = n + 19; t = x + 3; l = w + 2; f = h + 4; w = b + 4; n = t + 6; h = p + 20; i = l + 1. If x = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 7", "y": "t + 1", "a": "y + 14", "o": "a + 8", "f": "o + 9", "d": "f + 18", "x": "q + 15", "l": "x + 14", "p": "l + 19", "m": "p + 3", "n": "m + 1", "h": "n + 6", "q": 11}, "premises": {"q": 11}, "target": "d"}, "answer": {"steps": [["f", "o + 9", "o + 27"], ["o", "a + 8", "a + 35"], ["a", "y + 14", "y + 49"], ["y", "t + 1", "t + 50"], ["t", "q + 7", "q + 57"], ["q", 11, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"q": 11}, "is_reverse": true}}
| 242
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 3; n = m + 1; o = a + 8; t = q + 7; y = t + 1; l = x + 14; q = 11; d = f + 18; x = q + 15; a = y + 14; h = n + 6; p = l + 19; f = o + 9. If q = 11, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 9 to d, which gives d = o + 27.\n2. Substitute o = a + 8 to d, which gives d = a + 35.\n3. Substitute a = y + 14 to d, which gives d = y + 49.\n4. Substitute y = t + 1 to d, which gives d = t + 50.\n5. Substitute t = q + 7 to d, which gives d = q + 57.\n6. Substitute q = 11 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 242,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 3; n = m + 1; o = a + 8; t = q + 7; y = t + 1; l = x + 14; q = 11; d = f + 18; x = q + 15; a = y + 14; h = n + 6; p = l + 19; f = o + 9. If q = 11, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 17", "g": "d + 4", "i": "g + 3", "a": "i + 15", "b": "a + 3", "z": "b + 6", "t": "y + 2", "l": "t + 8", "v": "l + 3", "u": "v + 13", "w": "u + 3", "x": "w + 17", "y": 12}, "premises": {"y": 12}, "target": "z"}, "answer": {"steps": [["b", "a + 3", "a + 9"], ["a", "i + 15", "i + 24"], ["i", "g + 3", "g + 27"], ["g", "d + 4", "d + 31"], ["d", "y + 17", "y + 48"], ["y", 12, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"y": 12}, "is_reverse": true}}
| 243
| 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 = v + 13; z = b + 6; w = u + 3; a = i + 15; g = d + 4; v = l + 3; x = w + 17; t = y + 2; d = y + 17; b = a + 3; l = t + 8; i = g + 3; y = 12. If y = 12, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 3 to z, which gives z = a + 9.\n2. Substitute a = i + 15 to z, which gives z = i + 24.\n3. Substitute i = g + 3 to z, which gives z = g + 27.\n4. Substitute g = d + 4 to z, which gives z = d + 31.\n5. Substitute d = y + 17 to z, which gives z = y + 48.\n6. Substitute y = 12 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 13; z = b + 6; w = u + 3; a = i + 15; g = d + 4; v = l + 3; x = w + 17; t = y + 2; d = y + 17; b = a + 3; l = t + 8; i = g + 3; y = 12. If y = 12, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 4", "h": "z + 20", "c": "h + 1", "o": "c + 20", "n": "o + 20", "v": "n + 5", "e": "x + 16", "b": "e + 18", "k": "b + 17", "f": "k + 11", "p": "f + 20", "q": "p + 19", "x": 2}, "premises": {"x": 2}, "target": "v"}, "answer": {"steps": [["n", "o + 20", "o + 25"], ["o", "c + 20", "c + 45"], ["c", "h + 1", "h + 46"], ["h", "z + 20", "z + 66"], ["z", "x + 4", "x + 70"], ["x", 2, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"x": 2}, "is_reverse": true}}
| 244
| 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 = e + 18; e = x + 16; v = n + 5; o = c + 20; n = o + 20; p = f + 20; f = k + 11; k = b + 17; c = h + 1; x = 2; h = z + 20; z = x + 4; q = p + 19. If x = 2, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 20 to v, which gives v = o + 25.\n2. Substitute o = c + 20 to v, which gives v = c + 45.\n3. Substitute c = h + 1 to v, which gives v = h + 46.\n4. Substitute h = z + 20 to v, which gives v = z + 66.\n5. Substitute z = x + 4 to v, which gives v = x + 70.\n6. Substitute x = 2 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 18; e = x + 16; v = n + 5; o = c + 20; n = o + 20; p = f + 20; f = k + 11; k = b + 17; c = h + 1; x = 2; h = z + 20; z = x + 4; q = p + 19. If x = 2, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 4", "a": "o + 7", "z": "a + 10", "g": "z + 14", "y": "g + 12", "p": "y + 18", "q": "j + 6", "x": "q + 15", "u": "x + 13", "s": "u + 14", "k": "s + 15", "i": "k + 8", "j": 3}, "premises": {"j": 3}, "target": "p"}, "answer": {"steps": [["y", "g + 12", "g + 30"], ["g", "z + 14", "z + 44"], ["z", "a + 10", "a + 54"], ["a", "o + 7", "o + 61"], ["o", "j + 4", "j + 65"], ["j", 3, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"j": 3}, "is_reverse": true}}
| 245
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 6; x = q + 15; y = g + 12; s = u + 14; p = y + 18; z = a + 10; a = o + 7; g = z + 14; o = j + 4; u = x + 13; i = k + 8; j = 3; k = s + 15. Given that j = 3, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 12 to p, which gives p = g + 30.\n2. Substitute g = z + 14 to p, which gives p = z + 44.\n3. Substitute z = a + 10 to p, which gives p = a + 54.\n4. Substitute a = o + 7 to p, which gives p = o + 61.\n5. Substitute o = j + 4 to p, which gives p = j + 65.\n6. Substitute j = 3 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 245,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 6; x = q + 15; y = g + 12; s = u + 14; p = y + 18; z = a + 10; a = o + 7; g = z + 14; o = j + 4; u = x + 13; i = k + 8; j = 3; k = s + 15. Given that j = 3, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 20", "h": "o + 17", "u": "h + 2", "d": "u + 4", "x": "d + 12", "z": "x + 16", "p": "t + 3", "v": "p + 7", "c": "v + 20", "k": "c + 7", "f": "k + 16", "r": "f + 11", "t": 19}, "premises": {"t": 19}, "target": "z"}, "answer": {"steps": [["x", "d + 12", "d + 28"], ["d", "u + 4", "u + 32"], ["u", "h + 2", "h + 34"], ["h", "o + 17", "o + 51"], ["o", "t + 20", "t + 71"], ["t", 19, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"t": 19}, "is_reverse": true}}
| 246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 12; k = c + 7; h = o + 17; o = t + 20; f = k + 16; d = u + 4; u = h + 2; t = 19; c = v + 20; v = p + 7; p = t + 3; r = f + 11; z = x + 16. If t = 19, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 12 to z, which gives z = d + 28.\n2. Substitute d = u + 4 to z, which gives z = u + 32.\n3. Substitute u = h + 2 to z, which gives z = h + 34.\n4. Substitute h = o + 17 to z, which gives z = o + 51.\n5. Substitute o = t + 20 to z, which gives z = t + 71.\n6. Substitute t = 19 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 246,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 12; k = c + 7; h = o + 17; o = t + 20; f = k + 16; d = u + 4; u = h + 2; t = 19; c = v + 20; v = p + 7; p = t + 3; r = f + 11; z = x + 16. If t = 19, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"e": "b + 7", "f": "e + 10", "t": "f + 16", "d": "t + 20", "m": "d + 20", "w": "m + 1", "n": "b + 4", "l": "n + 11", "s": "l + 11", "a": "s + 7", "x": "a + 6", "y": "x + 18", "b": 9}, "premises": {"b": 9}, "target": "w"}, "answer": {"steps": [["m", "d + 20", "d + 21"], ["d", "t + 20", "t + 41"], ["t", "f + 16", "f + 57"], ["f", "e + 10", "e + 67"], ["e", "b + 7", "b + 74"], ["b", 9, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"b": 9}, "is_reverse": true}}
| 247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 4; m = d + 20; e = b + 7; s = l + 11; a = s + 7; f = e + 10; l = n + 11; w = m + 1; y = x + 18; d = t + 20; b = 9; x = a + 6; t = f + 16. If b = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 20 to w, which gives w = d + 21.\n2. Substitute d = t + 20 to w, which gives w = t + 41.\n3. Substitute t = f + 16 to w, which gives w = f + 57.\n4. Substitute f = e + 10 to w, which gives w = e + 67.\n5. Substitute e = b + 7 to w, which gives w = b + 74.\n6. Substitute b = 9 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 247,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 4; m = d + 20; e = b + 7; s = l + 11; a = s + 7; f = e + 10; l = n + 11; w = m + 1; y = x + 18; d = t + 20; b = 9; x = a + 6; t = f + 16. If b = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 11", "k": "c + 17", "q": "k + 7", "x": "q + 15", "p": "x + 14", "y": "p + 9", "d": "v + 7", "j": "d + 19", "z": "j + 6", "f": "z + 2", "u": "f + 10", "e": "u + 6", "v": 20}, "premises": {"v": 20}, "target": "y"}, "answer": {"steps": [["p", "x + 14", "x + 23"], ["x", "q + 15", "q + 38"], ["q", "k + 7", "k + 45"], ["k", "c + 17", "c + 62"], ["c", "v + 11", "v + 73"], ["v", 20, "93"]], "target_var_name": "y", "target_value": 93, "value_dict": {"v": 20}, "is_reverse": true}}
| 248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = 20; y = p + 9; p = x + 14; e = u + 6; d = v + 7; j = d + 19; k = c + 17; q = k + 7; x = q + 15; c = v + 11; u = f + 10; z = j + 6; f = z + 2. Given that v = 20, find the 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 p = x + 14 to y, which gives y = x + 23.\n2. Substitute x = q + 15 to y, which gives y = q + 38.\n3. Substitute q = k + 7 to y, which gives y = k + 45.\n4. Substitute k = c + 17 to y, which gives y = c + 62.\n5. Substitute c = v + 11 to y, which gives y = v + 73.\n6. Substitute v = 20 to y, which gives y = 93.\n\nThus, the final answer is y = \\boxed{93}.",
"index": 248,
"question": "Suppose a collection of variables is related by the following definitions: v = 20; y = p + 9; p = x + 14; e = u + 6; d = v + 7; j = d + 19; k = c + 17; q = k + 7; x = q + 15; c = v + 11; u = f + 10; z = j + 6; f = z + 2. Given that v = 20, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 8", "a": "u + 15", "x": "a + 18", "o": "x + 6", "r": "o + 5", "q": "r + 6", "l": "h + 6", "f": "l + 5", "s": "f + 4", "n": "s + 19", "w": "n + 19", "y": "w + 16", "h": 1}, "premises": {"h": 1}, "target": "q"}, "answer": {"steps": [["r", "o + 5", "o + 11"], ["o", "x + 6", "x + 17"], ["x", "a + 18", "a + 35"], ["a", "u + 15", "u + 50"], ["u", "h + 8", "h + 58"], ["h", 1, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"h": 1}, "is_reverse": true}}
| 249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 5; q = r + 6; r = o + 5; l = h + 6; y = w + 16; n = s + 19; o = x + 6; s = f + 4; h = 1; a = u + 15; x = a + 18; u = h + 8; w = n + 19. Given that h = 1, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 5 to q, which gives q = o + 11.\n2. Substitute o = x + 6 to q, which gives q = x + 17.\n3. Substitute x = a + 18 to q, which gives q = a + 35.\n4. Substitute a = u + 15 to q, which gives q = u + 50.\n5. Substitute u = h + 8 to q, which gives q = h + 58.\n6. Substitute h = 1 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 249,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 5; q = r + 6; r = o + 5; l = h + 6; y = w + 16; n = s + 19; o = x + 6; s = f + 4; h = 1; a = u + 15; x = a + 18; u = h + 8; w = n + 19. Given that h = 1, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 1", "j": "k + 16", "w": "j + 16", "t": "w + 11", "f": "t + 4", "z": "f + 2", "u": "y + 14", "m": "u + 14", "d": "m + 6", "e": "d + 5", "g": "e + 11", "l": "g + 12", "y": 1}, "premises": {"y": 1}, "target": "z"}, "answer": {"steps": [["f", "t + 4", "t + 6"], ["t", "w + 11", "w + 17"], ["w", "j + 16", "j + 33"], ["j", "k + 16", "k + 49"], ["k", "y + 1", "y + 50"], ["y", 1, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"y": 1}, "is_reverse": true}}
| 250
| 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 = u + 14; w = j + 16; f = t + 4; j = k + 16; z = f + 2; l = g + 12; g = e + 11; e = d + 5; y = 1; u = y + 14; k = y + 1; d = m + 6; t = w + 11. If y = 1, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 4 to z, which gives z = t + 6.\n2. Substitute t = w + 11 to z, which gives z = w + 17.\n3. Substitute w = j + 16 to z, which gives z = j + 33.\n4. Substitute j = k + 16 to z, which gives z = k + 49.\n5. Substitute k = y + 1 to z, which gives z = y + 50.\n6. Substitute y = 1 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 250,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 14; w = j + 16; f = t + 4; j = k + 16; z = f + 2; l = g + 12; g = e + 11; e = d + 5; y = 1; u = y + 14; k = y + 1; d = m + 6; t = w + 11. If y = 1, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "r + 12", "h": "f + 20", "q": "h + 20", "w": "q + 14", "v": "w + 18", "m": "v + 5", "p": "r + 12", "j": "p + 16", "s": "j + 1", "o": "s + 9", "n": "o + 2", "l": "n + 9", "r": 5}, "premises": {"r": 5}, "target": "m"}, "answer": {"steps": [["v", "w + 18", "w + 23"], ["w", "q + 14", "q + 37"], ["q", "h + 20", "h + 57"], ["h", "f + 20", "f + 77"], ["f", "r + 12", "r + 89"], ["r", 5, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"r": 5}, "is_reverse": true}}
| 251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 20; l = n + 9; h = f + 20; f = r + 12; w = q + 14; j = p + 16; n = o + 2; m = v + 5; v = w + 18; r = 5; o = s + 9; s = j + 1; p = r + 12. If r = 5, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 18 to m, which gives m = w + 23.\n2. Substitute w = q + 14 to m, which gives m = q + 37.\n3. Substitute q = h + 20 to m, which gives m = h + 57.\n4. Substitute h = f + 20 to m, which gives m = f + 77.\n5. Substitute f = r + 12 to m, which gives m = r + 89.\n6. Substitute r = 5 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 251,
"question": "Consider a system of variables where each variable is defined as follows: q = h + 20; l = n + 9; h = f + 20; f = r + 12; w = q + 14; j = p + 16; n = o + 2; m = v + 5; v = w + 18; r = 5; o = s + 9; s = j + 1; p = r + 12. If r = 5, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 4", "u": "c + 19", "i": "u + 17", "l": "i + 7", "m": "l + 2", "j": "m + 14", "q": "d + 6", "e": "q + 2", "p": "e + 18", "w": "p + 9", "k": "w + 5", "x": "k + 14", "d": 7}, "premises": {"d": 7}, "target": "j"}, "answer": {"steps": [["m", "l + 2", "l + 16"], ["l", "i + 7", "i + 23"], ["i", "u + 17", "u + 40"], ["u", "c + 19", "c + 59"], ["c", "d + 4", "d + 63"], ["d", 7, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"d": 7}, "is_reverse": true}}
| 252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 5; i = u + 17; c = d + 4; e = q + 2; x = k + 14; d = 7; q = d + 6; w = p + 9; p = e + 18; u = c + 19; m = l + 2; j = m + 14; l = i + 7. If d = 7, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 2 to j, which gives j = l + 16.\n2. Substitute l = i + 7 to j, which gives j = i + 23.\n3. Substitute i = u + 17 to j, which gives j = u + 40.\n4. Substitute u = c + 19 to j, which gives j = c + 59.\n5. Substitute c = d + 4 to j, which gives j = d + 63.\n6. Substitute d = 7 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 252,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 5; i = u + 17; c = d + 4; e = q + 2; x = k + 14; d = 7; q = d + 6; w = p + 9; p = e + 18; u = c + 19; m = l + 2; j = m + 14; l = i + 7. If d = 7, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 1", "f": "r + 20", "p": "f + 9", "z": "p + 9", "v": "z + 17", "n": "v + 2", "u": "t + 14", "l": "u + 15", "o": "l + 7", "k": "o + 5", "c": "k + 3", "s": "c + 2", "t": 16}, "premises": {"t": 16}, "target": "n"}, "answer": {"steps": [["v", "z + 17", "z + 19"], ["z", "p + 9", "p + 28"], ["p", "f + 9", "f + 37"], ["f", "r + 20", "r + 57"], ["r", "t + 1", "t + 58"], ["t", 16, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"t": 16}, "is_reverse": true}}
| 253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 14; c = k + 3; k = o + 5; p = f + 9; o = l + 7; t = 16; r = t + 1; v = z + 17; l = u + 15; s = c + 2; f = r + 20; z = p + 9; n = v + 2. Given that t = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 17 to n, which gives n = z + 19.\n2. Substitute z = p + 9 to n, which gives n = p + 28.\n3. Substitute p = f + 9 to n, which gives n = f + 37.\n4. Substitute f = r + 20 to n, which gives n = r + 57.\n5. Substitute r = t + 1 to n, which gives n = t + 58.\n6. Substitute t = 16 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 253,
"question": "Suppose a collection of variables is related by the following definitions: u = t + 14; c = k + 3; k = o + 5; p = f + 9; o = l + 7; t = 16; r = t + 1; v = z + 17; l = u + 15; s = c + 2; f = r + 20; z = p + 9; n = v + 2. Given that t = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 4", "d": "i + 4", "p": "d + 17", "k": "p + 12", "o": "k + 3", "q": "o + 1", "c": "v + 7", "r": "c + 2", "f": "r + 20", "n": "f + 3", "l": "n + 12", "m": "l + 12", "v": 20}, "premises": {"v": 20}, "target": "q"}, "answer": {"steps": [["o", "k + 3", "k + 4"], ["k", "p + 12", "p + 16"], ["p", "d + 17", "d + 33"], ["d", "i + 4", "i + 37"], ["i", "v + 4", "v + 41"], ["v", 20, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"v": 20}, "is_reverse": true}}
| 254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = 20; f = r + 20; q = o + 1; d = i + 4; p = d + 17; o = k + 3; l = n + 12; k = p + 12; m = l + 12; n = f + 3; i = v + 4; r = c + 2; c = v + 7. If v = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 3 to q, which gives q = k + 4.\n2. Substitute k = p + 12 to q, which gives q = p + 16.\n3. Substitute p = d + 17 to q, which gives q = d + 33.\n4. Substitute d = i + 4 to q, which gives q = i + 37.\n5. Substitute i = v + 4 to q, which gives q = v + 41.\n6. Substitute v = 20 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 254,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 20; f = r + 20; q = o + 1; d = i + 4; p = d + 17; o = k + 3; l = n + 12; k = p + 12; m = l + 12; n = f + 3; i = v + 4; r = c + 2; c = v + 7. If v = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 17", "z": "e + 7", "l": "z + 13", "r": "l + 18", "b": "r + 14", "k": "b + 2", "v": "n + 9", "s": "v + 2", "m": "s + 6", "p": "m + 12", "o": "p + 20", "d": "o + 3", "n": 16}, "premises": {"n": 16}, "target": "k"}, "answer": {"steps": [["b", "r + 14", "r + 16"], ["r", "l + 18", "l + 34"], ["l", "z + 13", "z + 47"], ["z", "e + 7", "e + 54"], ["e", "n + 17", "n + 71"], ["n", 16, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"n": 16}, "is_reverse": true}}
| 255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 9; l = z + 13; k = b + 2; e = n + 17; d = o + 3; z = e + 7; r = l + 18; s = v + 2; p = m + 12; b = r + 14; o = p + 20; m = s + 6; n = 16. If n = 16, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 14 to k, which gives k = r + 16.\n2. Substitute r = l + 18 to k, which gives k = l + 34.\n3. Substitute l = z + 13 to k, which gives k = z + 47.\n4. Substitute z = e + 7 to k, which gives k = e + 54.\n5. Substitute e = n + 17 to k, which gives k = n + 71.\n6. Substitute n = 16 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 255,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 9; l = z + 13; k = b + 2; e = n + 17; d = o + 3; z = e + 7; r = l + 18; s = v + 2; p = m + 12; b = r + 14; o = p + 20; m = s + 6; n = 16. If n = 16, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 3", "g": "u + 18", "w": "g + 5", "d": "w + 3", "t": "d + 14", "c": "t + 14", "m": "q + 12", "k": "m + 10", "b": "k + 5", "a": "b + 16", "y": "a + 1", "f": "y + 13", "q": 2}, "premises": {"q": 2}, "target": "c"}, "answer": {"steps": [["t", "d + 14", "d + 28"], ["d", "w + 3", "w + 31"], ["w", "g + 5", "g + 36"], ["g", "u + 18", "u + 54"], ["u", "q + 3", "q + 57"], ["q", 2, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"q": 2}, "is_reverse": true}}
| 256
| 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 = g + 5; u = q + 3; g = u + 18; d = w + 3; y = a + 1; q = 2; f = y + 13; k = m + 10; a = b + 16; b = k + 5; t = d + 14; c = t + 14; m = q + 12. If q = 2, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 14 to c, which gives c = d + 28.\n2. Substitute d = w + 3 to c, which gives c = w + 31.\n3. Substitute w = g + 5 to c, which gives c = g + 36.\n4. Substitute g = u + 18 to c, which gives c = u + 54.\n5. Substitute u = q + 3 to c, which gives c = q + 57.\n6. Substitute q = 2 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 256,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 5; u = q + 3; g = u + 18; d = w + 3; y = a + 1; q = 2; f = y + 13; k = m + 10; a = b + 16; b = k + 5; t = d + 14; c = t + 14; m = q + 12. If q = 2, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"x": "p + 17", "m": "x + 3", "o": "m + 16", "t": "o + 4", "h": "t + 12", "e": "h + 3", "c": "p + 3", "a": "c + 5", "s": "a + 6", "n": "s + 15", "i": "n + 4", "j": "i + 16", "p": 11}, "premises": {"p": 11}, "target": "e"}, "answer": {"steps": [["h", "t + 12", "t + 15"], ["t", "o + 4", "o + 19"], ["o", "m + 16", "m + 35"], ["m", "x + 3", "x + 38"], ["x", "p + 17", "p + 55"], ["p", 11, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"p": 11}, "is_reverse": true}}
| 257
| 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 = s + 15; j = i + 16; c = p + 3; m = x + 3; e = h + 3; x = p + 17; t = o + 4; a = c + 5; s = a + 6; i = n + 4; h = t + 12; o = m + 16; p = 11. If p = 11, what is the resulting 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 h = t + 12 to e, which gives e = t + 15.\n2. Substitute t = o + 4 to e, which gives e = o + 19.\n3. Substitute o = m + 16 to e, which gives e = m + 35.\n4. Substitute m = x + 3 to e, which gives e = x + 38.\n5. Substitute x = p + 17 to e, which gives e = p + 55.\n6. Substitute p = 11 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 15; j = i + 16; c = p + 3; m = x + 3; e = h + 3; x = p + 17; t = o + 4; a = c + 5; s = a + 6; i = n + 4; h = t + 12; o = m + 16; p = 11. If p = 11, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"h": "i + 2", "d": "h + 14", "o": "d + 9", "c": "o + 2", "q": "c + 10", "j": "q + 5", "s": "i + 2", "e": "s + 2", "l": "e + 17", "z": "l + 1", "r": "z + 11", "y": "r + 6", "i": 20}, "premises": {"i": 20}, "target": "j"}, "answer": {"steps": [["q", "c + 10", "c + 15"], ["c", "o + 2", "o + 17"], ["o", "d + 9", "d + 26"], ["d", "h + 14", "h + 40"], ["h", "i + 2", "i + 42"], ["i", 20, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"i": 20}, "is_reverse": true}}
| 258
| 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 + 2; r = z + 11; y = r + 6; q = c + 10; h = i + 2; o = d + 9; s = i + 2; c = o + 2; z = l + 1; j = q + 5; l = e + 17; d = h + 14; i = 20. If i = 20, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 10 to j, which gives j = c + 15.\n2. Substitute c = o + 2 to j, which gives j = o + 17.\n3. Substitute o = d + 9 to j, which gives j = d + 26.\n4. Substitute d = h + 14 to j, which gives j = h + 40.\n5. Substitute h = i + 2 to j, which gives j = i + 42.\n6. Substitute i = 20 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 258,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 2; r = z + 11; y = r + 6; q = c + 10; h = i + 2; o = d + 9; s = i + 2; c = o + 2; z = l + 1; j = q + 5; l = e + 17; d = h + 14; i = 20. If i = 20, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 8", "s": "c + 11", "l": "s + 12", "k": "l + 14", "h": "k + 6", "y": "h + 9", "u": "w + 8", "v": "u + 13", "q": "v + 5", "j": "q + 15", "x": "j + 15", "n": "x + 13", "w": 19}, "premises": {"w": 19}, "target": "y"}, "answer": {"steps": [["h", "k + 6", "k + 15"], ["k", "l + 14", "l + 29"], ["l", "s + 12", "s + 41"], ["s", "c + 11", "c + 52"], ["c", "w + 8", "w + 60"], ["w", 19, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"w": 19}, "is_reverse": true}}
| 259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 15; c = w + 8; u = w + 8; w = 19; s = c + 11; j = q + 15; k = l + 14; q = v + 5; n = x + 13; y = h + 9; l = s + 12; v = u + 13; h = k + 6. If w = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 6 to y, which gives y = k + 15.\n2. Substitute k = l + 14 to y, which gives y = l + 29.\n3. Substitute l = s + 12 to y, which gives y = s + 41.\n4. Substitute s = c + 11 to y, which gives y = c + 52.\n5. Substitute c = w + 8 to y, which gives y = w + 60.\n6. Substitute w = 19 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 259,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 15; c = w + 8; u = w + 8; w = 19; s = c + 11; j = q + 15; k = l + 14; q = v + 5; n = x + 13; y = h + 9; l = s + 12; v = u + 13; h = k + 6. If w = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 14", "x": "w + 9", "z": "x + 7", "i": "z + 3", "a": "i + 11", "y": "a + 11", "r": "s + 20", "f": "r + 16", "e": "f + 11", "v": "e + 19", "q": "v + 16", "n": "q + 12", "s": 15}, "premises": {"s": 15}, "target": "y"}, "answer": {"steps": [["a", "i + 11", "i + 22"], ["i", "z + 3", "z + 25"], ["z", "x + 7", "x + 32"], ["x", "w + 9", "w + 41"], ["w", "s + 14", "s + 55"], ["s", 15, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"s": 15}, "is_reverse": true}}
| 260
| 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 = i + 11; i = z + 3; n = q + 12; w = s + 14; r = s + 20; y = a + 11; f = r + 16; v = e + 19; z = x + 7; s = 15; q = v + 16; e = f + 11; x = w + 9. If s = 15, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 11 to y, which gives y = i + 22.\n2. Substitute i = z + 3 to y, which gives y = z + 25.\n3. Substitute z = x + 7 to y, which gives y = x + 32.\n4. Substitute x = w + 9 to y, which gives y = w + 41.\n5. Substitute w = s + 14 to y, which gives y = s + 55.\n6. Substitute s = 15 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 260,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 11; i = z + 3; n = q + 12; w = s + 14; r = s + 20; y = a + 11; f = r + 16; v = e + 19; z = x + 7; s = 15; q = v + 16; e = f + 11; x = w + 9. If s = 15, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 13", "l": "g + 4", "s": "l + 8", "r": "s + 13", "c": "r + 15", "b": "c + 4", "z": "i + 18", "m": "z + 13", "n": "m + 10", "a": "n + 12", "x": "a + 13", "t": "x + 14", "i": 6}, "premises": {"i": 6}, "target": "b"}, "answer": {"steps": [["c", "r + 15", "r + 19"], ["r", "s + 13", "s + 32"], ["s", "l + 8", "l + 40"], ["l", "g + 4", "g + 44"], ["g", "i + 13", "i + 57"], ["i", 6, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"i": 6}, "is_reverse": true}}
| 261
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 13; z = i + 18; l = g + 4; g = i + 13; b = c + 4; s = l + 8; r = s + 13; c = r + 15; i = 6; n = m + 10; a = n + 12; t = x + 14; m = z + 13. Given that i = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 15 to b, which gives b = r + 19.\n2. Substitute r = s + 13 to b, which gives b = s + 32.\n3. Substitute s = l + 8 to b, which gives b = l + 40.\n4. Substitute l = g + 4 to b, which gives b = g + 44.\n5. Substitute g = i + 13 to b, which gives b = i + 57.\n6. Substitute i = 6 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 261,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 13; z = i + 18; l = g + 4; g = i + 13; b = c + 4; s = l + 8; r = s + 13; c = r + 15; i = 6; n = m + 10; a = n + 12; t = x + 14; m = z + 13. Given that i = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 4", "b": "y + 2", "k": "b + 12", "q": "k + 2", "c": "q + 11", "s": "c + 2", "u": "f + 3", "z": "u + 14", "g": "z + 14", "r": "g + 14", "j": "r + 8", "x": "j + 6", "f": 18}, "premises": {"f": 18}, "target": "s"}, "answer": {"steps": [["c", "q + 11", "q + 13"], ["q", "k + 2", "k + 15"], ["k", "b + 12", "b + 27"], ["b", "y + 2", "y + 29"], ["y", "f + 4", "f + 33"], ["f", 18, "51"]], "target_var_name": "s", "target_value": 51, "value_dict": {"f": 18}, "is_reverse": true}}
| 262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 12; b = y + 2; f = 18; j = r + 8; x = j + 6; q = k + 2; y = f + 4; z = u + 14; g = z + 14; r = g + 14; s = c + 2; c = q + 11; u = f + 3. Given that f = 18, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 11 to s, which gives s = q + 13.\n2. Substitute q = k + 2 to s, which gives s = k + 15.\n3. Substitute k = b + 12 to s, which gives s = b + 27.\n4. Substitute b = y + 2 to s, which gives s = y + 29.\n5. Substitute y = f + 4 to s, which gives s = f + 33.\n6. Substitute f = 18 to s, which gives s = 51.\n\nThus, the final answer is s = \\boxed{51}.",
"index": 262,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 12; b = y + 2; f = 18; j = r + 8; x = j + 6; q = k + 2; y = f + 4; z = u + 14; g = z + 14; r = g + 14; s = c + 2; c = q + 11; u = f + 3. Given that f = 18, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 10", "w": "s + 17", "t": "w + 8", "q": "t + 7", "k": "q + 13", "p": "k + 8", "i": "d + 9", "v": "i + 9", "b": "v + 7", "l": "b + 17", "x": "l + 10", "n": "x + 9", "d": 13}, "premises": {"d": 13}, "target": "p"}, "answer": {"steps": [["k", "q + 13", "q + 21"], ["q", "t + 7", "t + 28"], ["t", "w + 8", "w + 36"], ["w", "s + 17", "s + 53"], ["s", "d + 10", "d + 63"], ["d", 13, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"d": 13}, "is_reverse": true}}
| 263
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 7; x = l + 10; i = d + 9; w = s + 17; l = b + 17; n = x + 9; v = i + 9; p = k + 8; t = w + 8; d = 13; k = q + 13; q = t + 7; s = d + 10. If d = 13, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 13 to p, which gives p = q + 21.\n2. Substitute q = t + 7 to p, which gives p = t + 28.\n3. Substitute t = w + 8 to p, which gives p = w + 36.\n4. Substitute w = s + 17 to p, which gives p = s + 53.\n5. Substitute s = d + 10 to p, which gives p = d + 63.\n6. Substitute d = 13 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 263,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 7; x = l + 10; i = d + 9; w = s + 17; l = b + 17; n = x + 9; v = i + 9; p = k + 8; t = w + 8; d = 13; k = q + 13; q = t + 7; s = d + 10. If d = 13, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 7", "f": "a + 1", "z": "f + 13", "u": "z + 17", "x": "u + 16", "k": "x + 2", "s": "p + 13", "t": "s + 10", "e": "t + 1", "b": "e + 20", "j": "b + 9", "c": "j + 20", "p": 10}, "premises": {"p": 10}, "target": "k"}, "answer": {"steps": [["x", "u + 16", "u + 18"], ["u", "z + 17", "z + 35"], ["z", "f + 13", "f + 48"], ["f", "a + 1", "a + 49"], ["a", "p + 7", "p + 56"], ["p", 10, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"p": 10}, "is_reverse": true}}
| 264
| 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 = s + 10; p = 10; u = z + 17; f = a + 1; b = e + 20; c = j + 20; z = f + 13; j = b + 9; x = u + 16; k = x + 2; s = p + 13; e = t + 1; a = p + 7. If p = 10, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 16 to k, which gives k = u + 18.\n2. Substitute u = z + 17 to k, which gives k = z + 35.\n3. Substitute z = f + 13 to k, which gives k = f + 48.\n4. Substitute f = a + 1 to k, which gives k = a + 49.\n5. Substitute a = p + 7 to k, which gives k = p + 56.\n6. Substitute p = 10 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 264,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 10; p = 10; u = z + 17; f = a + 1; b = e + 20; c = j + 20; z = f + 13; j = b + 9; x = u + 16; k = x + 2; s = p + 13; e = t + 1; a = p + 7. If p = 10, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 15", "f": "k + 4", "x": "f + 20", "g": "x + 18", "s": "g + 19", "i": "s + 6", "c": "n + 5", "l": "c + 16", "q": "l + 10", "a": "q + 2", "e": "a + 9", "h": "e + 20", "n": 1}, "premises": {"n": 1}, "target": "i"}, "answer": {"steps": [["s", "g + 19", "g + 25"], ["g", "x + 18", "x + 43"], ["x", "f + 20", "f + 63"], ["f", "k + 4", "k + 67"], ["k", "n + 15", "n + 82"], ["n", 1, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"n": 1}, "is_reverse": true}}
| 265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 4; h = e + 20; x = f + 20; s = g + 19; g = x + 18; c = n + 5; i = s + 6; a = q + 2; q = l + 10; e = a + 9; k = n + 15; n = 1; l = c + 16. If n = 1, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 19 to i, which gives i = g + 25.\n2. Substitute g = x + 18 to i, which gives i = x + 43.\n3. Substitute x = f + 20 to i, which gives i = f + 63.\n4. Substitute f = k + 4 to i, which gives i = k + 67.\n5. Substitute k = n + 15 to i, which gives i = n + 82.\n6. Substitute n = 1 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 265,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 4; h = e + 20; x = f + 20; s = g + 19; g = x + 18; c = n + 5; i = s + 6; a = q + 2; q = l + 10; e = a + 9; k = n + 15; n = 1; l = c + 16. If n = 1, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 19", "l": "s + 14", "j": "l + 13", "g": "j + 18", "b": "g + 14", "i": "b + 1", "r": "f + 9", "w": "r + 18", "z": "w + 7", "t": "z + 10", "o": "t + 3", "p": "o + 7", "f": 5}, "premises": {"f": 5}, "target": "i"}, "answer": {"steps": [["b", "g + 14", "g + 15"], ["g", "j + 18", "j + 33"], ["j", "l + 13", "l + 46"], ["l", "s + 14", "s + 60"], ["s", "f + 19", "f + 79"], ["f", 5, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"f": 5}, "is_reverse": true}}
| 266
| 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 + 10; l = s + 14; w = r + 18; p = o + 7; b = g + 14; f = 5; j = l + 13; o = t + 3; z = w + 7; s = f + 19; g = j + 18; r = f + 9; i = b + 1. If f = 5, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 14 to i, which gives i = g + 15.\n2. Substitute g = j + 18 to i, which gives i = j + 33.\n3. Substitute j = l + 13 to i, which gives i = l + 46.\n4. Substitute l = s + 14 to i, which gives i = s + 60.\n5. Substitute s = f + 19 to i, which gives i = f + 79.\n6. Substitute f = 5 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 266,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 10; l = s + 14; w = r + 18; p = o + 7; b = g + 14; f = 5; j = l + 13; o = t + 3; z = w + 7; s = f + 19; g = j + 18; r = f + 9; i = b + 1. If f = 5, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 13", "t": "v + 10", "w": "t + 12", "c": "w + 17", "a": "c + 18", "q": "a + 10", "g": "d + 12", "e": "g + 15", "l": "e + 5", "m": "l + 16", "f": "m + 7", "s": "f + 5", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["a", "c + 18", "c + 28"], ["c", "w + 17", "w + 45"], ["w", "t + 12", "t + 57"], ["t", "v + 10", "v + 67"], ["v", "d + 13", "d + 80"], ["d", 9, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"d": 9}, "is_reverse": true}}
| 267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 15; s = f + 5; w = t + 12; t = v + 10; f = m + 7; c = w + 17; m = l + 16; g = d + 12; d = 9; v = d + 13; q = a + 10; l = e + 5; a = c + 18. Given that d = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 18 to q, which gives q = c + 28.\n2. Substitute c = w + 17 to q, which gives q = w + 45.\n3. Substitute w = t + 12 to q, which gives q = t + 57.\n4. Substitute t = v + 10 to q, which gives q = v + 67.\n5. Substitute v = d + 13 to q, which gives q = d + 80.\n6. Substitute d = 9 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 267,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 15; s = f + 5; w = t + 12; t = v + 10; f = m + 7; c = w + 17; m = l + 16; g = d + 12; d = 9; v = d + 13; q = a + 10; l = e + 5; a = c + 18. Given that d = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 9", "k": "j + 16", "n": "k + 12", "i": "n + 17", "c": "i + 10", "x": "c + 16", "a": "h + 18", "t": "a + 10", "m": "t + 1", "b": "m + 9", "p": "b + 13", "e": "p + 18", "h": 5}, "premises": {"h": 5}, "target": "x"}, "answer": {"steps": [["c", "i + 10", "i + 26"], ["i", "n + 17", "n + 43"], ["n", "k + 12", "k + 55"], ["k", "j + 16", "j + 71"], ["j", "h + 9", "h + 80"], ["h", 5, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"h": 5}, "is_reverse": true}}
| 268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = b + 13; t = a + 10; b = m + 9; e = p + 18; x = c + 16; i = n + 17; n = k + 12; a = h + 18; j = h + 9; m = t + 1; k = j + 16; h = 5; c = i + 10. Given that h = 5, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 10 to x, which gives x = i + 26.\n2. Substitute i = n + 17 to x, which gives x = n + 43.\n3. Substitute n = k + 12 to x, which gives x = k + 55.\n4. Substitute k = j + 16 to x, which gives x = j + 71.\n5. Substitute j = h + 9 to x, which gives x = h + 80.\n6. Substitute h = 5 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 268,
"question": "Suppose a collection of variables is related by the following definitions: p = b + 13; t = a + 10; b = m + 9; e = p + 18; x = c + 16; i = n + 17; n = k + 12; a = h + 18; j = h + 9; m = t + 1; k = j + 16; h = 5; c = i + 10. Given that h = 5, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"f": "d + 17", "x": "f + 19", "t": "x + 20", "q": "t + 14", "o": "q + 1", "v": "o + 1", "l": "d + 5", "a": "l + 12", "r": "a + 13", "c": "r + 2", "m": "c + 20", "y": "m + 10", "d": 17}, "premises": {"d": 17}, "target": "v"}, "answer": {"steps": [["o", "q + 1", "q + 2"], ["q", "t + 14", "t + 16"], ["t", "x + 20", "x + 36"], ["x", "f + 19", "f + 55"], ["f", "d + 17", "d + 72"], ["d", 17, "89"]], "target_var_name": "v", "target_value": 89, "value_dict": {"d": 17}, "is_reverse": true}}
| 269
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 1; x = f + 19; d = 17; r = a + 13; a = l + 12; v = o + 1; c = r + 2; f = d + 17; y = m + 10; m = c + 20; q = t + 14; l = d + 5; t = x + 20. Given that d = 17, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 1 to v, which gives v = q + 2.\n2. Substitute q = t + 14 to v, which gives v = t + 16.\n3. Substitute t = x + 20 to v, which gives v = x + 36.\n4. Substitute x = f + 19 to v, which gives v = f + 55.\n5. Substitute f = d + 17 to v, which gives v = d + 72.\n6. Substitute d = 17 to v, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 269,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 1; x = f + 19; d = 17; r = a + 13; a = l + 12; v = o + 1; c = r + 2; f = d + 17; y = m + 10; m = c + 20; q = t + 14; l = d + 5; t = x + 20. Given that d = 17, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 14", "o": "w + 6", "s": "o + 2", "r": "s + 20", "i": "r + 11", "d": "i + 7", "t": "e + 13", "f": "t + 4", "n": "f + 2", "z": "n + 2", "k": "z + 1", "q": "k + 16", "e": 3}, "premises": {"e": 3}, "target": "d"}, "answer": {"steps": [["i", "r + 11", "r + 18"], ["r", "s + 20", "s + 38"], ["s", "o + 2", "o + 40"], ["o", "w + 6", "w + 46"], ["w", "e + 14", "e + 60"], ["e", 3, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"e": 3}, "is_reverse": true}}
| 270
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 6; z = n + 2; w = e + 14; i = r + 11; d = i + 7; s = o + 2; e = 3; r = s + 20; t = e + 13; f = t + 4; n = f + 2; q = k + 16; k = z + 1. Given that e = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 11 to d, which gives d = r + 18.\n2. Substitute r = s + 20 to d, which gives d = s + 38.\n3. Substitute s = o + 2 to d, which gives d = o + 40.\n4. Substitute o = w + 6 to d, which gives d = w + 46.\n5. Substitute w = e + 14 to d, which gives d = e + 60.\n6. Substitute e = 3 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 270,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 6; z = n + 2; w = e + 14; i = r + 11; d = i + 7; s = o + 2; e = 3; r = s + 20; t = e + 13; f = t + 4; n = f + 2; q = k + 16; k = z + 1. Given that e = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 5", "m": "i + 7", "l": "m + 1", "a": "l + 20", "h": "a + 15", "k": "h + 2", "p": "u + 16", "r": "p + 7", "c": "r + 11", "n": "c + 12", "e": "n + 14", "x": "e + 3", "u": 16}, "premises": {"u": 16}, "target": "k"}, "answer": {"steps": [["h", "a + 15", "a + 17"], ["a", "l + 20", "l + 37"], ["l", "m + 1", "m + 38"], ["m", "i + 7", "i + 45"], ["i", "u + 5", "u + 50"], ["u", 16, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"u": 16}, "is_reverse": true}}
| 271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 14; i = u + 5; x = e + 3; l = m + 1; k = h + 2; m = i + 7; c = r + 11; p = u + 16; n = c + 12; r = p + 7; u = 16; h = a + 15; a = l + 20. Given that u = 16, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 15 to k, which gives k = a + 17.\n2. Substitute a = l + 20 to k, which gives k = l + 37.\n3. Substitute l = m + 1 to k, which gives k = m + 38.\n4. Substitute m = i + 7 to k, which gives k = i + 45.\n5. Substitute i = u + 5 to k, which gives k = u + 50.\n6. Substitute u = 16 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 271,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 14; i = u + 5; x = e + 3; l = m + 1; k = h + 2; m = i + 7; c = r + 11; p = u + 16; n = c + 12; r = p + 7; u = 16; h = a + 15; a = l + 20. Given that u = 16, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 6", "b": "h + 14", "r": "b + 6", "m": "r + 10", "v": "m + 3", "o": "v + 5", "q": "u + 11", "j": "q + 19", "z": "j + 7", "w": "z + 8", "s": "w + 16", "f": "s + 2", "u": 6}, "premises": {"u": 6}, "target": "o"}, "answer": {"steps": [["v", "m + 3", "m + 8"], ["m", "r + 10", "r + 18"], ["r", "b + 6", "b + 24"], ["b", "h + 14", "h + 38"], ["h", "u + 6", "u + 44"], ["u", 6, "50"]], "target_var_name": "o", "target_value": 50, "value_dict": {"u": 6}, "is_reverse": true}}
| 272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 7; s = w + 16; f = s + 2; u = 6; v = m + 3; o = v + 5; h = u + 6; j = q + 19; w = z + 8; m = r + 10; r = b + 6; q = u + 11; b = h + 14. Given that u = 6, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 3 to o, which gives o = m + 8.\n2. Substitute m = r + 10 to o, which gives o = r + 18.\n3. Substitute r = b + 6 to o, which gives o = b + 24.\n4. Substitute b = h + 14 to o, which gives o = h + 38.\n5. Substitute h = u + 6 to o, which gives o = u + 44.\n6. Substitute u = 6 to o, which gives o = 50.\n\nThus, the final answer is o = \\boxed{50}.",
"index": 272,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 7; s = w + 16; f = s + 2; u = 6; v = m + 3; o = v + 5; h = u + 6; j = q + 19; w = z + 8; m = r + 10; r = b + 6; q = u + 11; b = h + 14. Given that u = 6, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 14", "p": "z + 18", "n": "p + 10", "v": "n + 17", "m": "v + 6", "f": "m + 4", "g": "w + 11", "y": "g + 18", "l": "y + 17", "e": "l + 15", "d": "e + 8", "b": "d + 18", "w": 14}, "premises": {"w": 14}, "target": "f"}, "answer": {"steps": [["m", "v + 6", "v + 10"], ["v", "n + 17", "n + 27"], ["n", "p + 10", "p + 37"], ["p", "z + 18", "z + 55"], ["z", "w + 14", "w + 69"], ["w", 14, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"w": 14}, "is_reverse": true}}
| 273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 17; n = p + 10; m = v + 6; p = z + 18; b = d + 18; e = l + 15; z = w + 14; w = 14; f = m + 4; y = g + 18; l = y + 17; g = w + 11; d = e + 8. If w = 14, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 6 to f, which gives f = v + 10.\n2. Substitute v = n + 17 to f, which gives f = n + 27.\n3. Substitute n = p + 10 to f, which gives f = p + 37.\n4. Substitute p = z + 18 to f, which gives f = z + 55.\n5. Substitute z = w + 14 to f, which gives f = w + 69.\n6. Substitute w = 14 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 273,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 17; n = p + 10; m = v + 6; p = z + 18; b = d + 18; e = l + 15; z = w + 14; w = 14; f = m + 4; y = g + 18; l = y + 17; g = w + 11; d = e + 8. If w = 14, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 1", "i": "y + 9", "w": "i + 12", "a": "w + 18", "p": "a + 8", "l": "p + 16", "j": "u + 15", "h": "j + 6", "k": "h + 3", "t": "k + 9", "n": "t + 13", "b": "n + 12", "u": 11}, "premises": {"u": 11}, "target": "l"}, "answer": {"steps": [["p", "a + 8", "a + 24"], ["a", "w + 18", "w + 42"], ["w", "i + 12", "i + 54"], ["i", "y + 9", "y + 63"], ["y", "u + 1", "u + 64"], ["u", 11, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"u": 11}, "is_reverse": true}}
| 274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 18; y = u + 1; b = n + 12; n = t + 13; t = k + 9; u = 11; w = i + 12; h = j + 6; p = a + 8; i = y + 9; j = u + 15; l = p + 16; k = h + 3. Given that u = 11, find 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 p = a + 8 to l, which gives l = a + 24.\n2. Substitute a = w + 18 to l, which gives l = w + 42.\n3. Substitute w = i + 12 to l, which gives l = i + 54.\n4. Substitute i = y + 9 to l, which gives l = y + 63.\n5. Substitute y = u + 1 to l, which gives l = u + 64.\n6. Substitute u = 11 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 274,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 18; y = u + 1; b = n + 12; n = t + 13; t = k + 9; u = 11; w = i + 12; h = j + 6; p = a + 8; i = y + 9; j = u + 15; l = p + 16; k = h + 3. Given that u = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 8", "q": "c + 8", "p": "q + 13", "l": "p + 20", "u": "l + 6", "g": "u + 15", "k": "j + 10", "e": "k + 3", "n": "e + 9", "i": "n + 18", "y": "i + 15", "t": "y + 10", "j": 19}, "premises": {"j": 19}, "target": "g"}, "answer": {"steps": [["u", "l + 6", "l + 21"], ["l", "p + 20", "p + 41"], ["p", "q + 13", "q + 54"], ["q", "c + 8", "c + 62"], ["c", "j + 8", "j + 70"], ["j", 19, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"j": 19}, "is_reverse": true}}
| 275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 6; t = y + 10; p = q + 13; y = i + 15; i = n + 18; k = j + 10; c = j + 8; l = p + 20; g = u + 15; e = k + 3; q = c + 8; n = e + 9; j = 19. If j = 19, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 6 to g, which gives g = l + 21.\n2. Substitute l = p + 20 to g, which gives g = p + 41.\n3. Substitute p = q + 13 to g, which gives g = q + 54.\n4. Substitute q = c + 8 to g, which gives g = c + 62.\n5. Substitute c = j + 8 to g, which gives g = j + 70.\n6. Substitute j = 19 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 275,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 6; t = y + 10; p = q + 13; y = i + 15; i = n + 18; k = j + 10; c = j + 8; l = p + 20; g = u + 15; e = k + 3; q = c + 8; n = e + 9; j = 19. If j = 19, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 6", "t": "z + 11", "o": "t + 12", "j": "o + 1", "n": "j + 6", "b": "n + 17", "p": "h + 11", "l": "p + 3", "g": "l + 4", "k": "g + 16", "r": "k + 9", "e": "r + 6", "h": 1}, "premises": {"h": 1}, "target": "b"}, "answer": {"steps": [["n", "j + 6", "j + 23"], ["j", "o + 1", "o + 24"], ["o", "t + 12", "t + 36"], ["t", "z + 11", "z + 47"], ["z", "h + 6", "h + 53"], ["h", 1, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"h": 1}, "is_reverse": true}}
| 276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 6; b = n + 17; k = g + 16; p = h + 11; t = z + 11; r = k + 9; j = o + 1; e = r + 6; n = j + 6; l = p + 3; o = t + 12; g = l + 4; h = 1. If h = 1, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 6 to b, which gives b = j + 23.\n2. Substitute j = o + 1 to b, which gives b = o + 24.\n3. Substitute o = t + 12 to b, which gives b = t + 36.\n4. Substitute t = z + 11 to b, which gives b = z + 47.\n5. Substitute z = h + 6 to b, which gives b = h + 53.\n6. Substitute h = 1 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 276,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 6; b = n + 17; k = g + 16; p = h + 11; t = z + 11; r = k + 9; j = o + 1; e = r + 6; n = j + 6; l = p + 3; o = t + 12; g = l + 4; h = 1. If h = 1, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 7", "l": "t + 16", "s": "l + 5", "d": "s + 2", "n": "d + 15", "r": "n + 3", "k": "z + 15", "h": "k + 4", "x": "h + 3", "b": "x + 7", "e": "b + 2", "g": "e + 17", "z": 17}, "premises": {"z": 17}, "target": "r"}, "answer": {"steps": [["n", "d + 15", "d + 18"], ["d", "s + 2", "s + 20"], ["s", "l + 5", "l + 25"], ["l", "t + 16", "t + 41"], ["t", "z + 7", "z + 48"], ["z", 17, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"z": 17}, "is_reverse": true}}
| 277
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 3; x = h + 3; k = z + 15; g = e + 17; b = x + 7; n = d + 15; t = z + 7; d = s + 2; z = 17; l = t + 16; h = k + 4; e = b + 2; s = l + 5. If z = 17, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 15 to r, which gives r = d + 18.\n2. Substitute d = s + 2 to r, which gives r = s + 20.\n3. Substitute s = l + 5 to r, which gives r = l + 25.\n4. Substitute l = t + 16 to r, which gives r = t + 41.\n5. Substitute t = z + 7 to r, which gives r = z + 48.\n6. Substitute z = 17 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 277,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 3; x = h + 3; k = z + 15; g = e + 17; b = x + 7; n = d + 15; t = z + 7; d = s + 2; z = 17; l = t + 16; h = k + 4; e = b + 2; s = l + 5. If z = 17, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 1", "r": "s + 8", "v": "r + 15", "z": "v + 9", "w": "z + 11", "i": "w + 8", "a": "k + 10", "n": "a + 3", "j": "n + 19", "q": "j + 15", "o": "q + 12", "p": "o + 8", "k": 18}, "premises": {"k": 18}, "target": "i"}, "answer": {"steps": [["w", "z + 11", "z + 19"], ["z", "v + 9", "v + 28"], ["v", "r + 15", "r + 43"], ["r", "s + 8", "s + 51"], ["s", "k + 1", "k + 52"], ["k", 18, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"k": 18}, "is_reverse": true}}
| 278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 11; a = k + 10; q = j + 15; k = 18; z = v + 9; i = w + 8; j = n + 19; n = a + 3; o = q + 12; p = o + 8; v = r + 15; s = k + 1; r = s + 8. If k = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 11 to i, which gives i = z + 19.\n2. Substitute z = v + 9 to i, which gives i = v + 28.\n3. Substitute v = r + 15 to i, which gives i = r + 43.\n4. Substitute r = s + 8 to i, which gives i = s + 51.\n5. Substitute s = k + 1 to i, which gives i = k + 52.\n6. Substitute k = 18 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 278,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 11; a = k + 10; q = j + 15; k = 18; z = v + 9; i = w + 8; j = n + 19; n = a + 3; o = q + 12; p = o + 8; v = r + 15; s = k + 1; r = s + 8. If k = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 2", "d": "l + 17", "t": "d + 3", "m": "t + 8", "c": "m + 20", "u": "c + 10", "y": "o + 3", "z": "y + 5", "v": "z + 6", "w": "v + 19", "e": "w + 6", "n": "e + 6", "o": 9}, "premises": {"o": 9}, "target": "u"}, "answer": {"steps": [["c", "m + 20", "m + 30"], ["m", "t + 8", "t + 38"], ["t", "d + 3", "d + 41"], ["d", "l + 17", "l + 58"], ["l", "o + 2", "o + 60"], ["o", 9, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"o": 9}, "is_reverse": true}}
| 279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 6; c = m + 20; l = o + 2; y = o + 3; m = t + 8; n = e + 6; d = l + 17; e = w + 6; o = 9; u = c + 10; t = d + 3; z = y + 5; w = v + 19. If o = 9, 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 c = m + 20 to u, which gives u = m + 30.\n2. Substitute m = t + 8 to u, which gives u = t + 38.\n3. Substitute t = d + 3 to u, which gives u = d + 41.\n4. Substitute d = l + 17 to u, which gives u = l + 58.\n5. Substitute l = o + 2 to u, which gives u = o + 60.\n6. Substitute o = 9 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 279,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 6; c = m + 20; l = o + 2; y = o + 3; m = t + 8; n = e + 6; d = l + 17; e = w + 6; o = 9; u = c + 10; t = d + 3; z = y + 5; w = v + 19. If o = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 9", "u": "y + 18", "n": "u + 15", "w": "n + 16", "l": "w + 12", "a": "l + 1", "p": "i + 18", "k": "p + 5", "d": "k + 6", "t": "d + 17", "o": "t + 20", "x": "o + 13", "i": 1}, "premises": {"i": 1}, "target": "a"}, "answer": {"steps": [["l", "w + 12", "w + 13"], ["w", "n + 16", "n + 29"], ["n", "u + 15", "u + 44"], ["u", "y + 18", "y + 62"], ["y", "i + 9", "i + 71"], ["i", 1, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"i": 1}, "is_reverse": true}}
| 280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 5; p = i + 18; l = w + 12; t = d + 17; o = t + 20; n = u + 15; u = y + 18; w = n + 16; y = i + 9; x = o + 13; a = l + 1; i = 1; d = k + 6. If i = 1, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 12 to a, which gives a = w + 13.\n2. Substitute w = n + 16 to a, which gives a = n + 29.\n3. Substitute n = u + 15 to a, which gives a = u + 44.\n4. Substitute u = y + 18 to a, which gives a = y + 62.\n5. Substitute y = i + 9 to a, which gives a = i + 71.\n6. Substitute i = 1 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 280,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 5; p = i + 18; l = w + 12; t = d + 17; o = t + 20; n = u + 15; u = y + 18; w = n + 16; y = i + 9; x = o + 13; a = l + 1; i = 1; d = k + 6. If i = 1, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 15", "m": "q + 16", "b": "m + 8", "j": "b + 9", "l": "j + 16", "e": "l + 14", "x": "t + 16", "v": "x + 19", "g": "v + 8", "f": "g + 10", "p": "f + 19", "h": "p + 5", "t": 13}, "premises": {"t": 13}, "target": "e"}, "answer": {"steps": [["l", "j + 16", "j + 30"], ["j", "b + 9", "b + 39"], ["b", "m + 8", "m + 47"], ["m", "q + 16", "q + 63"], ["q", "t + 15", "t + 78"], ["t", 13, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"t": 13}, "is_reverse": true}}
| 281
| 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 = b + 9; g = v + 8; l = j + 16; f = g + 10; m = q + 16; v = x + 19; x = t + 16; q = t + 15; p = f + 19; b = m + 8; e = l + 14; h = p + 5; t = 13. If t = 13, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 16 to e, which gives e = j + 30.\n2. Substitute j = b + 9 to e, which gives e = b + 39.\n3. Substitute b = m + 8 to e, which gives e = m + 47.\n4. Substitute m = q + 16 to e, which gives e = q + 63.\n5. Substitute q = t + 15 to e, which gives e = t + 78.\n6. Substitute t = 13 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 281,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 9; g = v + 8; l = j + 16; f = g + 10; m = q + 16; v = x + 19; x = t + 16; q = t + 15; p = f + 19; b = m + 8; e = l + 14; h = p + 5; t = 13. If t = 13, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 13", "x": "d + 6", "a": "x + 4", "s": "a + 15", "w": "s + 17", "y": "w + 12", "m": "v + 20", "o": "m + 2", "z": "o + 12", "c": "z + 6", "f": "c + 1", "i": "f + 3", "v": 12}, "premises": {"v": 12}, "target": "y"}, "answer": {"steps": [["w", "s + 17", "s + 29"], ["s", "a + 15", "a + 44"], ["a", "x + 4", "x + 48"], ["x", "d + 6", "d + 54"], ["d", "v + 13", "v + 67"], ["v", 12, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"v": 12}, "is_reverse": true}}
| 282
| 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 = c + 1; x = d + 6; o = m + 2; s = a + 15; v = 12; y = w + 12; m = v + 20; a = x + 4; z = o + 12; w = s + 17; c = z + 6; i = f + 3; d = v + 13. If v = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 17 to y, which gives y = s + 29.\n2. Substitute s = a + 15 to y, which gives y = a + 44.\n3. Substitute a = x + 4 to y, which gives y = x + 48.\n4. Substitute x = d + 6 to y, which gives y = d + 54.\n5. Substitute d = v + 13 to y, which gives y = v + 67.\n6. Substitute v = 12 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 1; x = d + 6; o = m + 2; s = a + 15; v = 12; y = w + 12; m = v + 20; a = x + 4; z = o + 12; w = s + 17; c = z + 6; i = f + 3; d = v + 13. If v = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 10", "o": "s + 4", "c": "o + 9", "r": "c + 7", "t": "r + 10", "l": "t + 13", "k": "v + 3", "b": "k + 4", "e": "b + 2", "u": "e + 16", "a": "u + 20", "m": "a + 15", "v": 8}, "premises": {"v": 8}, "target": "l"}, "answer": {"steps": [["t", "r + 10", "r + 23"], ["r", "c + 7", "c + 30"], ["c", "o + 9", "o + 39"], ["o", "s + 4", "s + 43"], ["s", "v + 10", "v + 53"], ["v", 8, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"v": 8}, "is_reverse": true}}
| 283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = a + 15; k = v + 3; a = u + 20; v = 8; e = b + 2; u = e + 16; t = r + 10; r = c + 7; s = v + 10; b = k + 4; o = s + 4; c = o + 9; l = t + 13. Given that v = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 10 to l, which gives l = r + 23.\n2. Substitute r = c + 7 to l, which gives l = c + 30.\n3. Substitute c = o + 9 to l, which gives l = o + 39.\n4. Substitute o = s + 4 to l, which gives l = s + 43.\n5. Substitute s = v + 10 to l, which gives l = v + 53.\n6. Substitute v = 8 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 283,
"question": "Suppose a collection of variables is related by the following definitions: m = a + 15; k = v + 3; a = u + 20; v = 8; e = b + 2; u = e + 16; t = r + 10; r = c + 7; s = v + 10; b = k + 4; o = s + 4; c = o + 9; l = t + 13. Given that v = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 11", "w": "b + 15", "h": "w + 11", "g": "h + 17", "i": "g + 13", "k": "i + 12", "s": "x + 1", "f": "s + 4", "u": "f + 19", "o": "u + 2", "l": "o + 15", "r": "l + 16", "x": 9}, "premises": {"x": 9}, "target": "k"}, "answer": {"steps": [["i", "g + 13", "g + 25"], ["g", "h + 17", "h + 42"], ["h", "w + 11", "w + 53"], ["w", "b + 15", "b + 68"], ["b", "x + 11", "x + 79"], ["x", 9, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"x": 9}, "is_reverse": true}}
| 284
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 2; w = b + 15; f = s + 4; x = 9; k = i + 12; h = w + 11; s = x + 1; l = o + 15; r = l + 16; b = x + 11; i = g + 13; u = f + 19; g = h + 17. If x = 9, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 13 to k, which gives k = g + 25.\n2. Substitute g = h + 17 to k, which gives k = h + 42.\n3. Substitute h = w + 11 to k, which gives k = w + 53.\n4. Substitute w = b + 15 to k, which gives k = b + 68.\n5. Substitute b = x + 11 to k, which gives k = x + 79.\n6. Substitute x = 9 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 284,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 2; w = b + 15; f = s + 4; x = 9; k = i + 12; h = w + 11; s = x + 1; l = o + 15; r = l + 16; b = x + 11; i = g + 13; u = f + 19; g = h + 17. If x = 9, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 2", "k": "u + 19", "q": "k + 16", "e": "q + 14", "v": "e + 2", "t": "v + 18", "n": "i + 7", "s": "n + 15", "f": "s + 10", "x": "f + 8", "m": "x + 15", "y": "m + 3", "i": 13}, "premises": {"i": 13}, "target": "t"}, "answer": {"steps": [["v", "e + 2", "e + 20"], ["e", "q + 14", "q + 34"], ["q", "k + 16", "k + 50"], ["k", "u + 19", "u + 69"], ["u", "i + 2", "i + 71"], ["i", 13, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"i": 13}, "is_reverse": true}}
| 285
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 15; n = i + 7; t = v + 18; u = i + 2; x = f + 8; q = k + 16; i = 13; m = x + 15; e = q + 14; k = u + 19; f = s + 10; v = e + 2; y = m + 3. Given that i = 13, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 2 to t, which gives t = e + 20.\n2. Substitute e = q + 14 to t, which gives t = q + 34.\n3. Substitute q = k + 16 to t, which gives t = k + 50.\n4. Substitute k = u + 19 to t, which gives t = u + 69.\n5. Substitute u = i + 2 to t, which gives t = i + 71.\n6. Substitute i = 13 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 285,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 15; n = i + 7; t = v + 18; u = i + 2; x = f + 8; q = k + 16; i = 13; m = x + 15; e = q + 14; k = u + 19; f = s + 10; v = e + 2; y = m + 3. Given that i = 13, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 18", "i": "d + 6", "o": "i + 6", "s": "o + 13", "z": "s + 10", "q": "z + 13", "f": "e + 1", "c": "f + 5", "l": "c + 2", "x": "l + 7", "n": "x + 4", "a": "n + 12", "e": 9}, "premises": {"e": 9}, "target": "q"}, "answer": {"steps": [["z", "s + 10", "s + 23"], ["s", "o + 13", "o + 36"], ["o", "i + 6", "i + 42"], ["i", "d + 6", "d + 48"], ["d", "e + 18", "e + 66"], ["e", 9, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"e": 9}, "is_reverse": true}}
| 286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 1; i = d + 6; q = z + 13; z = s + 10; o = i + 6; c = f + 5; e = 9; n = x + 4; x = l + 7; s = o + 13; l = c + 2; d = e + 18; a = n + 12. If e = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 10 to q, which gives q = s + 23.\n2. Substitute s = o + 13 to q, which gives q = o + 36.\n3. Substitute o = i + 6 to q, which gives q = i + 42.\n4. Substitute i = d + 6 to q, which gives q = d + 48.\n5. Substitute d = e + 18 to q, which gives q = e + 66.\n6. Substitute e = 9 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 286,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 1; i = d + 6; q = z + 13; z = s + 10; o = i + 6; c = f + 5; e = 9; n = x + 4; x = l + 7; s = o + 13; l = c + 2; d = e + 18; a = n + 12. If e = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 19", "f": "p + 3", "d": "f + 19", "q": "d + 5", "t": "q + 12", "y": "t + 10", "z": "h + 10", "g": "z + 17", "i": "g + 4", "j": "i + 13", "a": "j + 11", "o": "a + 15", "h": 1}, "premises": {"h": 1}, "target": "y"}, "answer": {"steps": [["t", "q + 12", "q + 22"], ["q", "d + 5", "d + 27"], ["d", "f + 19", "f + 46"], ["f", "p + 3", "p + 49"], ["p", "h + 19", "h + 68"], ["h", 1, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"h": 1}, "is_reverse": true}}
| 287
| 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 = a + 15; j = i + 13; q = d + 5; z = h + 10; t = q + 12; a = j + 11; y = t + 10; i = g + 4; p = h + 19; h = 1; f = p + 3; g = z + 17; d = f + 19. If h = 1, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 12 to y, which gives y = q + 22.\n2. Substitute q = d + 5 to y, which gives y = d + 27.\n3. Substitute d = f + 19 to y, which gives y = f + 46.\n4. Substitute f = p + 3 to y, which gives y = p + 49.\n5. Substitute p = h + 19 to y, which gives y = h + 68.\n6. Substitute h = 1 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 287,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 15; j = i + 13; q = d + 5; z = h + 10; t = q + 12; a = j + 11; y = t + 10; i = g + 4; p = h + 19; h = 1; f = p + 3; g = z + 17; d = f + 19. If h = 1, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 2", "b": "s + 13", "l": "b + 9", "k": "l + 11", "d": "k + 3", "e": "d + 18", "i": "v + 11", "h": "i + 13", "p": "h + 11", "u": "p + 16", "a": "u + 18", "t": "a + 2", "v": 8}, "premises": {"v": 8}, "target": "e"}, "answer": {"steps": [["d", "k + 3", "k + 21"], ["k", "l + 11", "l + 32"], ["l", "b + 9", "b + 41"], ["b", "s + 13", "s + 54"], ["s", "v + 2", "v + 56"], ["v", 8, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"v": 8}, "is_reverse": true}}
| 288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = d + 18; i = v + 11; s = v + 2; h = i + 13; v = 8; b = s + 13; k = l + 11; d = k + 3; l = b + 9; u = p + 16; t = a + 2; a = u + 18; p = h + 11. If v = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 3 to e, which gives e = k + 21.\n2. Substitute k = l + 11 to e, which gives e = l + 32.\n3. Substitute l = b + 9 to e, which gives e = b + 41.\n4. Substitute b = s + 13 to e, which gives e = s + 54.\n5. Substitute s = v + 2 to e, which gives e = v + 56.\n6. Substitute v = 8 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 288,
"question": "Consider a system of variables where each variable is defined as follows: e = d + 18; i = v + 11; s = v + 2; h = i + 13; v = 8; b = s + 13; k = l + 11; d = k + 3; l = b + 9; u = p + 16; t = a + 2; a = u + 18; p = h + 11. If v = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 4", "x": "y + 10", "c": "x + 12", "j": "c + 1", "p": "j + 9", "q": "p + 17", "a": "m + 10", "b": "a + 2", "z": "b + 16", "k": "z + 4", "n": "k + 18", "w": "n + 6", "m": 4}, "premises": {"m": 4}, "target": "q"}, "answer": {"steps": [["p", "j + 9", "j + 26"], ["j", "c + 1", "c + 27"], ["c", "x + 12", "x + 39"], ["x", "y + 10", "y + 49"], ["y", "m + 4", "m + 53"], ["m", 4, "57"]], "target_var_name": "q", "target_value": 57, "value_dict": {"m": 4}, "is_reverse": true}}
| 289
| 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 = c + 1; p = j + 9; q = p + 17; b = a + 2; n = k + 18; a = m + 10; c = x + 12; z = b + 16; y = m + 4; k = z + 4; m = 4; x = y + 10; w = n + 6. If m = 4, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 9 to q, which gives q = j + 26.\n2. Substitute j = c + 1 to q, which gives q = c + 27.\n3. Substitute c = x + 12 to q, which gives q = x + 39.\n4. Substitute x = y + 10 to q, which gives q = y + 49.\n5. Substitute y = m + 4 to q, which gives q = m + 53.\n6. Substitute m = 4 to q, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 289,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = c + 1; p = j + 9; q = p + 17; b = a + 2; n = k + 18; a = m + 10; c = x + 12; z = b + 16; y = m + 4; k = z + 4; m = 4; x = y + 10; w = n + 6. If m = 4, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 14", "s": "l + 3", "z": "s + 2", "m": "z + 8", "t": "m + 13", "q": "t + 14", "k": "o + 1", "a": "k + 16", "j": "a + 12", "h": "j + 1", "e": "h + 8", "i": "e + 12", "o": 13}, "premises": {"o": 13}, "target": "q"}, "answer": {"steps": [["t", "m + 13", "m + 27"], ["m", "z + 8", "z + 35"], ["z", "s + 2", "s + 37"], ["s", "l + 3", "l + 40"], ["l", "o + 14", "o + 54"], ["o", 13, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"o": 13}, "is_reverse": true}}
| 290
| 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 + 14; h = j + 1; z = s + 2; k = o + 1; a = k + 16; e = h + 8; m = z + 8; j = a + 12; l = o + 14; o = 13; s = l + 3; i = e + 12; t = m + 13. If o = 13, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 13 to q, which gives q = m + 27.\n2. Substitute m = z + 8 to q, which gives q = z + 35.\n3. Substitute z = s + 2 to q, which gives q = s + 37.\n4. Substitute s = l + 3 to q, which gives q = l + 40.\n5. Substitute l = o + 14 to q, which gives q = o + 54.\n6. Substitute o = 13 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 290,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 14; h = j + 1; z = s + 2; k = o + 1; a = k + 16; e = h + 8; m = z + 8; j = a + 12; l = o + 14; o = 13; s = l + 3; i = e + 12; t = m + 13. If o = 13, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 11", "j": "c + 5", "p": "j + 10", "k": "p + 2", "b": "k + 17", "e": "b + 5", "v": "f + 1", "r": "v + 14", "d": "r + 20", "n": "d + 5", "x": "n + 10", "u": "x + 14", "f": 12}, "premises": {"f": 12}, "target": "e"}, "answer": {"steps": [["b", "k + 17", "k + 22"], ["k", "p + 2", "p + 24"], ["p", "j + 10", "j + 34"], ["j", "c + 5", "c + 39"], ["c", "f + 11", "f + 50"], ["f", 12, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"f": 12}, "is_reverse": true}}
| 291
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = c + 5; b = k + 17; u = x + 14; e = b + 5; p = j + 10; n = d + 5; r = v + 14; c = f + 11; d = r + 20; f = 12; k = p + 2; v = f + 1; x = n + 10. Given that f = 12, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 17 to e, which gives e = k + 22.\n2. Substitute k = p + 2 to e, which gives e = p + 24.\n3. Substitute p = j + 10 to e, which gives e = j + 34.\n4. Substitute j = c + 5 to e, which gives e = c + 39.\n5. Substitute c = f + 11 to e, which gives e = f + 50.\n6. Substitute f = 12 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 291,
"question": "Suppose a collection of variables is related by the following definitions: j = c + 5; b = k + 17; u = x + 14; e = b + 5; p = j + 10; n = d + 5; r = v + 14; c = f + 11; d = r + 20; f = 12; k = p + 2; v = f + 1; x = n + 10. Given that f = 12, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 14", "v": "h + 7", "z": "v + 13", "m": "z + 11", "d": "m + 19", "i": "d + 15", "w": "f + 7", "q": "w + 3", "e": "q + 7", "l": "e + 7", "p": "l + 6", "u": "p + 16", "f": 4}, "premises": {"f": 4}, "target": "i"}, "answer": {"steps": [["d", "m + 19", "m + 34"], ["m", "z + 11", "z + 45"], ["z", "v + 13", "v + 58"], ["v", "h + 7", "h + 65"], ["h", "f + 14", "f + 79"], ["f", 4, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"f": 4}, "is_reverse": true}}
| 292
| 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 = f + 7; l = e + 7; z = v + 13; v = h + 7; i = d + 15; f = 4; h = f + 14; d = m + 19; q = w + 3; u = p + 16; e = q + 7; m = z + 11; p = l + 6. If f = 4, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 19 to i, which gives i = m + 34.\n2. Substitute m = z + 11 to i, which gives i = z + 45.\n3. Substitute z = v + 13 to i, which gives i = v + 58.\n4. Substitute v = h + 7 to i, which gives i = h + 65.\n5. Substitute h = f + 14 to i, which gives i = f + 79.\n6. Substitute f = 4 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 292,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 7; l = e + 7; z = v + 13; v = h + 7; i = d + 15; f = 4; h = f + 14; d = m + 19; q = w + 3; u = p + 16; e = q + 7; m = z + 11; p = l + 6. If f = 4, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 9", "m": "t + 3", "b": "m + 2", "h": "b + 15", "x": "h + 15", "f": "x + 14", "v": "i + 6", "o": "v + 7", "n": "o + 9", "y": "n + 8", "e": "y + 7", "u": "e + 16", "i": 4}, "premises": {"i": 4}, "target": "f"}, "answer": {"steps": [["x", "h + 15", "h + 29"], ["h", "b + 15", "b + 44"], ["b", "m + 2", "m + 46"], ["m", "t + 3", "t + 49"], ["t", "i + 9", "i + 58"], ["i", 4, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"i": 4}, "is_reverse": true}}
| 293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 7; m = t + 3; t = i + 9; x = h + 15; b = m + 2; y = n + 8; i = 4; u = e + 16; h = b + 15; f = x + 14; n = o + 9; v = i + 6; o = v + 7. If i = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 15 to f, which gives f = h + 29.\n2. Substitute h = b + 15 to f, which gives f = b + 44.\n3. Substitute b = m + 2 to f, which gives f = m + 46.\n4. Substitute m = t + 3 to f, which gives f = t + 49.\n5. Substitute t = i + 9 to f, which gives f = i + 58.\n6. Substitute i = 4 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 293,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 7; m = t + 3; t = i + 9; x = h + 15; b = m + 2; y = n + 8; i = 4; u = e + 16; h = b + 15; f = x + 14; n = o + 9; v = i + 6; o = v + 7. If i = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 3", "d": "w + 8", "l": "d + 3", "n": "l + 12", "z": "n + 1", "y": "z + 20", "p": "o + 18", "u": "p + 6", "h": "u + 2", "v": "h + 10", "c": "v + 3", "m": "c + 4", "o": 8}, "premises": {"o": 8}, "target": "y"}, "answer": {"steps": [["z", "n + 1", "n + 21"], ["n", "l + 12", "l + 33"], ["l", "d + 3", "d + 36"], ["d", "w + 8", "w + 44"], ["w", "o + 3", "o + 47"], ["o", 8, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"o": 8}, "is_reverse": true}}
| 294
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 1; v = h + 10; m = c + 4; y = z + 20; l = d + 3; p = o + 18; u = p + 6; w = o + 3; c = v + 3; d = w + 8; n = l + 12; h = u + 2; o = 8. Given that o = 8, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 1 to y, which gives y = n + 21.\n2. Substitute n = l + 12 to y, which gives y = l + 33.\n3. Substitute l = d + 3 to y, which gives y = d + 36.\n4. Substitute d = w + 8 to y, which gives y = w + 44.\n5. Substitute w = o + 3 to y, which gives y = o + 47.\n6. Substitute o = 8 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 294,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 1; v = h + 10; m = c + 4; y = z + 20; l = d + 3; p = o + 18; u = p + 6; w = o + 3; c = v + 3; d = w + 8; n = l + 12; h = u + 2; o = 8. Given that o = 8, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"a": "y + 19", "l": "a + 17", "k": "l + 5", "p": "k + 12", "i": "p + 6", "j": "i + 9", "d": "y + 16", "m": "d + 17", "s": "m + 20", "b": "s + 13", "t": "b + 6", "o": "t + 3", "y": 15}, "premises": {"y": 15}, "target": "j"}, "answer": {"steps": [["i", "p + 6", "p + 15"], ["p", "k + 12", "k + 27"], ["k", "l + 5", "l + 32"], ["l", "a + 17", "a + 49"], ["a", "y + 19", "y + 68"], ["y", 15, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"y": 15}, "is_reverse": true}}
| 295
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 19; y = 15; o = t + 3; p = k + 12; k = l + 5; j = i + 9; t = b + 6; d = y + 16; i = p + 6; l = a + 17; m = d + 17; b = s + 13; s = m + 20. If y = 15, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 6 to j, which gives j = p + 15.\n2. Substitute p = k + 12 to j, which gives j = k + 27.\n3. Substitute k = l + 5 to j, which gives j = l + 32.\n4. Substitute l = a + 17 to j, which gives j = a + 49.\n5. Substitute a = y + 19 to j, which gives j = y + 68.\n6. Substitute y = 15 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 295,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 19; y = 15; o = t + 3; p = k + 12; k = l + 5; j = i + 9; t = b + 6; d = y + 16; i = p + 6; l = a + 17; m = d + 17; b = s + 13; s = m + 20. If y = 15, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 14", "g": "n + 14", "b": "g + 9", "r": "b + 8", "m": "r + 18", "w": "m + 3", "a": "d + 12", "q": "a + 11", "c": "q + 8", "z": "c + 9", "x": "z + 13", "u": "x + 6", "d": 16}, "premises": {"d": 16}, "target": "w"}, "answer": {"steps": [["m", "r + 18", "r + 21"], ["r", "b + 8", "b + 29"], ["b", "g + 9", "g + 38"], ["g", "n + 14", "n + 52"], ["n", "d + 14", "d + 66"], ["d", 16, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"d": 16}, "is_reverse": true}}
| 296
| 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 = d + 12; m = r + 18; x = z + 13; w = m + 3; u = x + 6; z = c + 9; n = d + 14; r = b + 8; b = g + 9; q = a + 11; d = 16; c = q + 8; g = n + 14. If d = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 18 to w, which gives w = r + 21.\n2. Substitute r = b + 8 to w, which gives w = b + 29.\n3. Substitute b = g + 9 to w, which gives w = g + 38.\n4. Substitute g = n + 14 to w, which gives w = n + 52.\n5. Substitute n = d + 14 to w, which gives w = d + 66.\n6. Substitute d = 16 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 296,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 12; m = r + 18; x = z + 13; w = m + 3; u = x + 6; z = c + 9; n = d + 14; r = b + 8; b = g + 9; q = a + 11; d = 16; c = q + 8; g = n + 14. If d = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"e": "f + 10", "d": "e + 16", "h": "d + 17", "t": "h + 20", "m": "t + 18", "g": "m + 6", "p": "f + 20", "j": "p + 12", "s": "j + 10", "c": "s + 9", "i": "c + 1", "x": "i + 4", "f": 3}, "premises": {"f": 3}, "target": "g"}, "answer": {"steps": [["m", "t + 18", "t + 24"], ["t", "h + 20", "h + 44"], ["h", "d + 17", "d + 61"], ["d", "e + 16", "e + 77"], ["e", "f + 10", "f + 87"], ["f", 3, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"f": 3}, "is_reverse": true}}
| 297
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 10; g = m + 6; p = f + 20; m = t + 18; f = 3; d = e + 16; c = s + 9; h = d + 17; x = i + 4; i = c + 1; s = j + 10; j = p + 12; t = h + 20. Given that f = 3, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 18 to g, which gives g = t + 24.\n2. Substitute t = h + 20 to g, which gives g = h + 44.\n3. Substitute h = d + 17 to g, which gives g = d + 61.\n4. Substitute d = e + 16 to g, which gives g = e + 77.\n5. Substitute e = f + 10 to g, which gives g = f + 87.\n6. Substitute f = 3 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 297,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 10; g = m + 6; p = f + 20; m = t + 18; f = 3; d = e + 16; c = s + 9; h = d + 17; x = i + 4; i = c + 1; s = j + 10; j = p + 12; t = h + 20. Given that f = 3, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 19", "h": "l + 7", "u": "h + 6", "t": "u + 5", "d": "t + 20", "k": "d + 11", "j": "w + 12", "p": "j + 1", "m": "p + 11", "g": "m + 20", "q": "g + 6", "f": "q + 6", "w": 8}, "premises": {"w": 8}, "target": "k"}, "answer": {"steps": [["d", "t + 20", "t + 31"], ["t", "u + 5", "u + 36"], ["u", "h + 6", "h + 42"], ["h", "l + 7", "l + 49"], ["l", "w + 19", "w + 68"], ["w", 8, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"w": 8}, "is_reverse": true}}
| 298
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = u + 5; f = q + 6; q = g + 6; d = t + 20; u = h + 6; w = 8; k = d + 11; g = m + 20; l = w + 19; j = w + 12; p = j + 1; m = p + 11; h = l + 7. Given that w = 8, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 20 to k, which gives k = t + 31.\n2. Substitute t = u + 5 to k, which gives k = u + 36.\n3. Substitute u = h + 6 to k, which gives k = h + 42.\n4. Substitute h = l + 7 to k, which gives k = l + 49.\n5. Substitute l = w + 19 to k, which gives k = w + 68.\n6. Substitute w = 8 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 298,
"question": "Suppose a collection of variables is related by the following definitions: t = u + 5; f = q + 6; q = g + 6; d = t + 20; u = h + 6; w = 8; k = d + 11; g = m + 20; l = w + 19; j = w + 12; p = j + 1; m = p + 11; h = l + 7. Given that w = 8, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 11", "a": "x + 16", "p": "a + 12", "s": "p + 19", "m": "s + 17", "j": "m + 11", "f": "y + 20", "d": "f + 19", "l": "d + 15", "b": "l + 11", "w": "b + 16", "c": "w + 4", "y": 9}, "premises": {"y": 9}, "target": "j"}, "answer": {"steps": [["m", "s + 17", "s + 28"], ["s", "p + 19", "p + 47"], ["p", "a + 12", "a + 59"], ["a", "x + 16", "x + 75"], ["x", "y + 11", "y + 86"], ["y", 9, "95"]], "target_var_name": "j", "target_value": 95, "value_dict": {"y": 9}, "is_reverse": true}}
| 299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 11; s = p + 19; f = y + 20; j = m + 11; y = 9; b = l + 11; p = a + 12; l = d + 15; m = s + 17; a = x + 16; w = b + 16; c = w + 4; d = f + 19. Given that y = 9, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 17 to j, which gives j = s + 28.\n2. Substitute s = p + 19 to j, which gives j = p + 47.\n3. Substitute p = a + 12 to j, which gives j = a + 59.\n4. Substitute a = x + 16 to j, which gives j = x + 75.\n5. Substitute x = y + 11 to j, which gives j = y + 86.\n6. Substitute y = 9 to j, which gives j = 95.\n\nThus, the final answer is j = \\boxed{95}.",
"index": 299,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 11; s = p + 19; f = y + 20; j = m + 11; y = 9; b = l + 11; p = a + 12; l = d + 15; m = s + 17; a = x + 16; w = b + 16; c = w + 4; d = f + 19. Given that y = 9, find the value of j.",
"split": "train"
}
|
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