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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"a": "f + 12", "j": "a + 17", "m": "j + 13", "i": "m + 19", "t": "i + 20", "s": "t + 8", "g": "f + 8", "r": "g + 17", "l": "r + 12", "c": "l + 12", "n": "c + 6", "k": "n + 12", "f": 5}, "premises": {"f": 5}, "target": "s"}, "answer": {"steps": [["t", "i + 20", "i + 28"], ["i", "m + 19", "m + 47"], ["m", "j + 13", "j + 60"], ["j", "a + 17", "a + 77"], ["a", "f + 12", "f + 89"], ["f", 5, "94"]], "target_var_name": "s", "target_value": 94, "value_dict": {"f": 5}, "is_reverse": true}}
| 25,400
| 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 + 17; l = r + 12; k = n + 12; c = l + 12; i = m + 19; a = f + 12; m = j + 13; r = g + 17; s = t + 8; t = i + 20; n = c + 6; g = f + 8; f = 5. If f = 5, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 20 to s, which gives s = i + 28.\n2. Substitute i = m + 19 to s, which gives s = m + 47.\n3. Substitute m = j + 13 to s, which gives s = j + 60.\n4. Substitute j = a + 17 to s, which gives s = a + 77.\n5. Substitute a = f + 12 to s, which gives s = f + 89.\n6. Substitute f = 5 to s, which gives s = 94.\n\nThus, the final answer is s = \\boxed{94}.",
"index": 25400,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 17; l = r + 12; k = n + 12; c = l + 12; i = m + 19; a = f + 12; m = j + 13; r = g + 17; s = t + 8; t = i + 20; n = c + 6; g = f + 8; f = 5. If f = 5, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 5", "c": "j + 13", "g": "c + 3", "y": "g + 5", "o": "y + 20", "e": "o + 3", "p": "d + 12", "z": "p + 2", "m": "z + 16", "h": "m + 6", "i": "h + 18", "t": "i + 3", "d": 3}, "premises": {"d": 3}, "target": "e"}, "answer": {"steps": [["o", "y + 20", "y + 23"], ["y", "g + 5", "g + 28"], ["g", "c + 3", "c + 31"], ["c", "j + 13", "j + 44"], ["j", "d + 5", "d + 49"], ["d", 3, "52"]], "target_var_name": "e", "target_value": 52, "value_dict": {"d": 3}, "is_reverse": true}}
| 25,401
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 20; e = o + 3; t = i + 3; z = p + 2; g = c + 3; j = d + 5; i = h + 18; y = g + 5; c = j + 13; h = m + 6; d = 3; p = d + 12; m = z + 16. Given that d = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 20 to e, which gives e = y + 23.\n2. Substitute y = g + 5 to e, which gives e = g + 28.\n3. Substitute g = c + 3 to e, which gives e = c + 31.\n4. Substitute c = j + 13 to e, which gives e = j + 44.\n5. Substitute j = d + 5 to e, which gives e = d + 49.\n6. Substitute d = 3 to e, which gives e = 52.\n\nThus, the final answer is e = \\boxed{52}.",
"index": 25401,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 20; e = o + 3; t = i + 3; z = p + 2; g = c + 3; j = d + 5; i = h + 18; y = g + 5; c = j + 13; h = m + 6; d = 3; p = d + 12; m = z + 16. Given that d = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 13", "t": "d + 2", "h": "t + 3", "u": "h + 19", "m": "u + 14", "e": "m + 9", "l": "b + 5", "p": "l + 5", "q": "p + 19", "o": "q + 16", "n": "o + 18", "y": "n + 18", "b": 15}, "premises": {"b": 15}, "target": "e"}, "answer": {"steps": [["m", "u + 14", "u + 23"], ["u", "h + 19", "h + 42"], ["h", "t + 3", "t + 45"], ["t", "d + 2", "d + 47"], ["d", "b + 13", "b + 60"], ["b", 15, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"b": 15}, "is_reverse": true}}
| 25,402
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 19; o = q + 16; t = d + 2; q = p + 19; h = t + 3; b = 15; l = b + 5; y = n + 18; d = b + 13; n = o + 18; m = u + 14; e = m + 9; p = l + 5. Given that b = 15, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 14 to e, which gives e = u + 23.\n2. Substitute u = h + 19 to e, which gives e = h + 42.\n3. Substitute h = t + 3 to e, which gives e = t + 45.\n4. Substitute t = d + 2 to e, which gives e = d + 47.\n5. Substitute d = b + 13 to e, which gives e = b + 60.\n6. Substitute b = 15 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 25402,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 19; o = q + 16; t = d + 2; q = p + 19; h = t + 3; b = 15; l = b + 5; y = n + 18; d = b + 13; n = o + 18; m = u + 14; e = m + 9; p = l + 5. Given that b = 15, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 3", "n": "c + 4", "r": "n + 16", "o": "r + 1", "f": "o + 2", "h": "f + 4", "j": "x + 20", "w": "j + 5", "v": "w + 18", "t": "v + 11", "z": "t + 20", "e": "z + 16", "x": 12}, "premises": {"x": 12}, "target": "h"}, "answer": {"steps": [["f", "o + 2", "o + 6"], ["o", "r + 1", "r + 7"], ["r", "n + 16", "n + 23"], ["n", "c + 4", "c + 27"], ["c", "x + 3", "x + 30"], ["x", 12, "42"]], "target_var_name": "h", "target_value": 42, "value_dict": {"x": 12}, "is_reverse": true}}
| 25,403
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 1; e = z + 16; v = w + 18; r = n + 16; t = v + 11; f = o + 2; n = c + 4; z = t + 20; h = f + 4; w = j + 5; x = 12; j = x + 20; c = x + 3. Given that x = 12, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 2 to h, which gives h = o + 6.\n2. Substitute o = r + 1 to h, which gives h = r + 7.\n3. Substitute r = n + 16 to h, which gives h = n + 23.\n4. Substitute n = c + 4 to h, which gives h = c + 27.\n5. Substitute c = x + 3 to h, which gives h = x + 30.\n6. Substitute x = 12 to h, which gives h = 42.\n\nThus, the final answer is h = \\boxed{42}.",
"index": 25403,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 1; e = z + 16; v = w + 18; r = n + 16; t = v + 11; f = o + 2; n = c + 4; z = t + 20; h = f + 4; w = j + 5; x = 12; j = x + 20; c = x + 3. Given that x = 12, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 15", "s": "o + 20", "w": "s + 11", "a": "w + 16", "m": "a + 15", "t": "m + 10", "c": "l + 1", "i": "c + 7", "f": "i + 18", "d": "f + 4", "z": "d + 19", "r": "z + 20", "l": 11}, "premises": {"l": 11}, "target": "t"}, "answer": {"steps": [["m", "a + 15", "a + 25"], ["a", "w + 16", "w + 41"], ["w", "s + 11", "s + 52"], ["s", "o + 20", "o + 72"], ["o", "l + 15", "l + 87"], ["l", 11, "98"]], "target_var_name": "t", "target_value": 98, "value_dict": {"l": 11}, "is_reverse": true}}
| 25,404
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 19; c = l + 1; s = o + 20; f = i + 18; o = l + 15; a = w + 16; r = z + 20; w = s + 11; i = c + 7; m = a + 15; t = m + 10; l = 11; d = f + 4. Given that l = 11, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 15 to t, which gives t = a + 25.\n2. Substitute a = w + 16 to t, which gives t = w + 41.\n3. Substitute w = s + 11 to t, which gives t = s + 52.\n4. Substitute s = o + 20 to t, which gives t = o + 72.\n5. Substitute o = l + 15 to t, which gives t = l + 87.\n6. Substitute l = 11 to t, which gives t = 98.\n\nThus, the final answer is t = \\boxed{98}.",
"index": 25404,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 19; c = l + 1; s = o + 20; f = i + 18; o = l + 15; a = w + 16; r = z + 20; w = s + 11; i = c + 7; m = a + 15; t = m + 10; l = 11; d = f + 4. Given that l = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"m": "c + 2", "j": "m + 2", "y": "j + 5", "x": "y + 1", "q": "x + 15", "k": "q + 20", "b": "c + 5", "i": "b + 8", "a": "i + 9", "h": "a + 2", "v": "h + 17", "t": "v + 15", "c": 17}, "premises": {"c": 17}, "target": "k"}, "answer": {"steps": [["q", "x + 15", "x + 35"], ["x", "y + 1", "y + 36"], ["y", "j + 5", "j + 41"], ["j", "m + 2", "m + 43"], ["m", "c + 2", "c + 45"], ["c", 17, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"c": 17}, "is_reverse": true}}
| 25,405
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 20; h = a + 2; x = y + 1; t = v + 15; q = x + 15; a = i + 9; b = c + 5; i = b + 8; m = c + 2; j = m + 2; v = h + 17; c = 17; y = j + 5. If c = 17, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 15 to k, which gives k = x + 35.\n2. Substitute x = y + 1 to k, which gives k = y + 36.\n3. Substitute y = j + 5 to k, which gives k = j + 41.\n4. Substitute j = m + 2 to k, which gives k = m + 43.\n5. Substitute m = c + 2 to k, which gives k = c + 45.\n6. Substitute c = 17 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 25405,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 20; h = a + 2; x = y + 1; t = v + 15; q = x + 15; a = i + 9; b = c + 5; i = b + 8; m = c + 2; j = m + 2; v = h + 17; c = 17; y = j + 5. If c = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 5", "p": "g + 1", "s": "p + 15", "n": "s + 3", "t": "n + 11", "i": "t + 14", "h": "k + 16", "y": "h + 20", "r": "y + 1", "u": "r + 9", "o": "u + 17", "x": "o + 16", "k": 15}, "premises": {"k": 15}, "target": "i"}, "answer": {"steps": [["t", "n + 11", "n + 25"], ["n", "s + 3", "s + 28"], ["s", "p + 15", "p + 43"], ["p", "g + 1", "g + 44"], ["g", "k + 5", "k + 49"], ["k", 15, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"k": 15}, "is_reverse": true}}
| 25,406
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 11; y = h + 20; g = k + 5; k = 15; r = y + 1; x = o + 16; u = r + 9; n = s + 3; o = u + 17; i = t + 14; h = k + 16; s = p + 15; p = g + 1. Given that k = 15, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 11 to i, which gives i = n + 25.\n2. Substitute n = s + 3 to i, which gives i = s + 28.\n3. Substitute s = p + 15 to i, which gives i = p + 43.\n4. Substitute p = g + 1 to i, which gives i = g + 44.\n5. Substitute g = k + 5 to i, which gives i = k + 49.\n6. Substitute k = 15 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 25406,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 11; y = h + 20; g = k + 5; k = 15; r = y + 1; x = o + 16; u = r + 9; n = s + 3; o = u + 17; i = t + 14; h = k + 16; s = p + 15; p = g + 1. Given that k = 15, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"u": "l + 9", "q": "u + 4", "o": "q + 14", "x": "o + 15", "k": "x + 19", "w": "k + 10", "d": "l + 7", "z": "d + 1", "e": "z + 5", "f": "e + 14", "r": "f + 15", "v": "r + 14", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["k", "x + 19", "x + 29"], ["x", "o + 15", "o + 44"], ["o", "q + 14", "q + 58"], ["q", "u + 4", "u + 62"], ["u", "l + 9", "l + 71"], ["l", 10, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"l": 10}, "is_reverse": true}}
| 25,407
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 5; o = q + 14; z = d + 1; k = x + 19; f = e + 14; q = u + 4; r = f + 15; u = l + 9; d = l + 7; x = o + 15; w = k + 10; l = 10; v = r + 14. If l = 10, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 19 to w, which gives w = x + 29.\n2. Substitute x = o + 15 to w, which gives w = o + 44.\n3. Substitute o = q + 14 to w, which gives w = q + 58.\n4. Substitute q = u + 4 to w, which gives w = u + 62.\n5. Substitute u = l + 9 to w, which gives w = l + 71.\n6. Substitute l = 10 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 25407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 5; o = q + 14; z = d + 1; k = x + 19; f = e + 14; q = u + 4; r = f + 15; u = l + 9; d = l + 7; x = o + 15; w = k + 10; l = 10; v = r + 14. If l = 10, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 20", "c": "m + 12", "z": "c + 13", "v": "z + 14", "l": "v + 11", "o": "l + 7", "i": "g + 2", "a": "i + 1", "w": "a + 6", "t": "w + 14", "d": "t + 12", "u": "d + 12", "g": 10}, "premises": {"g": 10}, "target": "o"}, "answer": {"steps": [["l", "v + 11", "v + 18"], ["v", "z + 14", "z + 32"], ["z", "c + 13", "c + 45"], ["c", "m + 12", "m + 57"], ["m", "g + 20", "g + 77"], ["g", 10, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"g": 10}, "is_reverse": true}}
| 25,408
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 10; m = g + 20; i = g + 2; o = l + 7; w = a + 6; u = d + 12; t = w + 14; c = m + 12; d = t + 12; z = c + 13; v = z + 14; a = i + 1; l = v + 11. Given that g = 10, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 11 to o, which gives o = v + 18.\n2. Substitute v = z + 14 to o, which gives o = z + 32.\n3. Substitute z = c + 13 to o, which gives o = c + 45.\n4. Substitute c = m + 12 to o, which gives o = m + 57.\n5. Substitute m = g + 20 to o, which gives o = g + 77.\n6. Substitute g = 10 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 25408,
"question": "Suppose a collection of variables is related by the following definitions: g = 10; m = g + 20; i = g + 2; o = l + 7; w = a + 6; u = d + 12; t = w + 14; c = m + 12; d = t + 12; z = c + 13; v = z + 14; a = i + 1; l = v + 11. Given that g = 10, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 10", "p": "u + 15", "i": "p + 6", "y": "i + 5", "r": "y + 16", "v": "r + 15", "a": "w + 10", "b": "a + 20", "e": "b + 20", "d": "e + 14", "n": "d + 18", "q": "n + 1", "w": 17}, "premises": {"w": 17}, "target": "v"}, "answer": {"steps": [["r", "y + 16", "y + 31"], ["y", "i + 5", "i + 36"], ["i", "p + 6", "p + 42"], ["p", "u + 15", "u + 57"], ["u", "w + 10", "w + 67"], ["w", 17, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"w": 17}, "is_reverse": true}}
| 25,409
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 20; p = u + 15; e = b + 20; d = e + 14; i = p + 6; y = i + 5; w = 17; r = y + 16; q = n + 1; n = d + 18; v = r + 15; u = w + 10; a = w + 10. If w = 17, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 16 to v, which gives v = y + 31.\n2. Substitute y = i + 5 to v, which gives v = i + 36.\n3. Substitute i = p + 6 to v, which gives v = p + 42.\n4. Substitute p = u + 15 to v, which gives v = u + 57.\n5. Substitute u = w + 10 to v, which gives v = w + 67.\n6. Substitute w = 17 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 25409,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 20; p = u + 15; e = b + 20; d = e + 14; i = p + 6; y = i + 5; w = 17; r = y + 16; q = n + 1; n = d + 18; v = r + 15; u = w + 10; a = w + 10. If w = 17, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 2", "z": "w + 1", "r": "z + 16", "c": "r + 2", "s": "c + 14", "p": "s + 10", "a": "q + 18", "h": "a + 16", "u": "h + 16", "k": "u + 15", "m": "k + 7", "e": "m + 7", "q": 12}, "premises": {"q": 12}, "target": "p"}, "answer": {"steps": [["s", "c + 14", "c + 24"], ["c", "r + 2", "r + 26"], ["r", "z + 16", "z + 42"], ["z", "w + 1", "w + 43"], ["w", "q + 2", "q + 45"], ["q", 12, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"q": 12}, "is_reverse": true}}
| 25,410
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 16; r = z + 16; c = r + 2; z = w + 1; s = c + 14; e = m + 7; p = s + 10; q = 12; w = q + 2; k = u + 15; u = h + 16; a = q + 18; m = k + 7. If q = 12, 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 s = c + 14 to p, which gives p = c + 24.\n2. Substitute c = r + 2 to p, which gives p = r + 26.\n3. Substitute r = z + 16 to p, which gives p = z + 42.\n4. Substitute z = w + 1 to p, which gives p = w + 43.\n5. Substitute w = q + 2 to p, which gives p = q + 45.\n6. Substitute q = 12 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 25410,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 16; r = z + 16; c = r + 2; z = w + 1; s = c + 14; e = m + 7; p = s + 10; q = 12; w = q + 2; k = u + 15; u = h + 16; a = q + 18; m = k + 7. If q = 12, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 3", "g": "m + 19", "n": "g + 14", "i": "n + 15", "s": "i + 8", "z": "s + 4", "j": "x + 16", "u": "j + 7", "d": "u + 18", "k": "d + 13", "q": "k + 14", "r": "q + 11", "x": 18}, "premises": {"x": 18}, "target": "z"}, "answer": {"steps": [["s", "i + 8", "i + 12"], ["i", "n + 15", "n + 27"], ["n", "g + 14", "g + 41"], ["g", "m + 19", "m + 60"], ["m", "x + 3", "x + 63"], ["x", 18, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"x": 18}, "is_reverse": true}}
| 25,411
| 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 + 16; m = x + 3; n = g + 14; i = n + 15; k = d + 13; s = i + 8; d = u + 18; u = j + 7; x = 18; g = m + 19; r = q + 11; q = k + 14; z = s + 4. If x = 18, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 8 to z, which gives z = i + 12.\n2. Substitute i = n + 15 to z, which gives z = n + 27.\n3. Substitute n = g + 14 to z, which gives z = g + 41.\n4. Substitute g = m + 19 to z, which gives z = m + 60.\n5. Substitute m = x + 3 to z, which gives z = x + 63.\n6. Substitute x = 18 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 25411,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 16; m = x + 3; n = g + 14; i = n + 15; k = d + 13; s = i + 8; d = u + 18; u = j + 7; x = 18; g = m + 19; r = q + 11; q = k + 14; z = s + 4. If x = 18, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 5", "t": "r + 9", "w": "t + 9", "o": "w + 11", "c": "o + 11", "m": "c + 11", "q": "z + 15", "f": "q + 13", "k": "f + 5", "u": "k + 12", "p": "u + 1", "l": "p + 4", "z": 5}, "premises": {"z": 5}, "target": "m"}, "answer": {"steps": [["c", "o + 11", "o + 22"], ["o", "w + 11", "w + 33"], ["w", "t + 9", "t + 42"], ["t", "r + 9", "r + 51"], ["r", "z + 5", "z + 56"], ["z", 5, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"z": 5}, "is_reverse": true}}
| 25,412
| 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 = c + 11; w = t + 9; k = f + 5; z = 5; q = z + 15; c = o + 11; p = u + 1; o = w + 11; t = r + 9; u = k + 12; r = z + 5; f = q + 13; l = p + 4. If z = 5, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 11 to m, which gives m = o + 22.\n2. Substitute o = w + 11 to m, which gives m = w + 33.\n3. Substitute w = t + 9 to m, which gives m = t + 42.\n4. Substitute t = r + 9 to m, which gives m = r + 51.\n5. Substitute r = z + 5 to m, which gives m = z + 56.\n6. Substitute z = 5 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 25412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 11; w = t + 9; k = f + 5; z = 5; q = z + 15; c = o + 11; p = u + 1; o = w + 11; t = r + 9; u = k + 12; r = z + 5; f = q + 13; l = p + 4. If z = 5, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 16", "l": "p + 4", "d": "l + 7", "c": "d + 8", "b": "c + 2", "h": "b + 17", "q": "m + 8", "r": "q + 10", "n": "r + 2", "f": "n + 15", "j": "f + 7", "g": "j + 7", "m": 13}, "premises": {"m": 13}, "target": "h"}, "answer": {"steps": [["b", "c + 2", "c + 19"], ["c", "d + 8", "d + 27"], ["d", "l + 7", "l + 34"], ["l", "p + 4", "p + 38"], ["p", "m + 16", "m + 54"], ["m", 13, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"m": 13}, "is_reverse": true}}
| 25,413
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 7; m = 13; f = n + 15; l = p + 4; b = c + 2; p = m + 16; n = r + 2; r = q + 10; h = b + 17; g = j + 7; q = m + 8; d = l + 7; c = d + 8. If m = 13, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 2 to h, which gives h = c + 19.\n2. Substitute c = d + 8 to h, which gives h = d + 27.\n3. Substitute d = l + 7 to h, which gives h = l + 34.\n4. Substitute l = p + 4 to h, which gives h = p + 38.\n5. Substitute p = m + 16 to h, which gives h = m + 54.\n6. Substitute m = 13 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 25413,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 7; m = 13; f = n + 15; l = p + 4; b = c + 2; p = m + 16; n = r + 2; r = q + 10; h = b + 17; g = j + 7; q = m + 8; d = l + 7; c = d + 8. If m = 13, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 13", "c": "f + 13", "e": "c + 1", "l": "e + 10", "k": "l + 10", "i": "k + 4", "h": "w + 5", "q": "h + 8", "d": "q + 7", "r": "d + 18", "z": "r + 10", "m": "z + 3", "w": 4}, "premises": {"w": 4}, "target": "i"}, "answer": {"steps": [["k", "l + 10", "l + 14"], ["l", "e + 10", "e + 24"], ["e", "c + 1", "c + 25"], ["c", "f + 13", "f + 38"], ["f", "w + 13", "w + 51"], ["w", 4, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"w": 4}, "is_reverse": true}}
| 25,414
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 18; d = q + 7; h = w + 5; f = w + 13; e = c + 1; q = h + 8; z = r + 10; l = e + 10; w = 4; i = k + 4; m = z + 3; k = l + 10; c = f + 13. If w = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 10 to i, which gives i = l + 14.\n2. Substitute l = e + 10 to i, which gives i = e + 24.\n3. Substitute e = c + 1 to i, which gives i = c + 25.\n4. Substitute c = f + 13 to i, which gives i = f + 38.\n5. Substitute f = w + 13 to i, which gives i = w + 51.\n6. Substitute w = 4 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 25414,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 18; d = q + 7; h = w + 5; f = w + 13; e = c + 1; q = h + 8; z = r + 10; l = e + 10; w = 4; i = k + 4; m = z + 3; k = l + 10; c = f + 13. If w = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 15", "t": "n + 1", "o": "t + 14", "d": "o + 16", "h": "d + 4", "w": "h + 15", "i": "a + 3", "f": "i + 16", "c": "f + 3", "z": "c + 2", "x": "z + 1", "k": "x + 3", "a": 9}, "premises": {"a": 9}, "target": "w"}, "answer": {"steps": [["h", "d + 4", "d + 19"], ["d", "o + 16", "o + 35"], ["o", "t + 14", "t + 49"], ["t", "n + 1", "n + 50"], ["n", "a + 15", "a + 65"], ["a", 9, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"a": 9}, "is_reverse": true}}
| 25,415
| 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 = c + 2; x = z + 1; c = f + 3; f = i + 16; a = 9; n = a + 15; w = h + 15; d = o + 16; i = a + 3; h = d + 4; k = x + 3; t = n + 1; o = t + 14. If a = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 4 to w, which gives w = d + 19.\n2. Substitute d = o + 16 to w, which gives w = o + 35.\n3. Substitute o = t + 14 to w, which gives w = t + 49.\n4. Substitute t = n + 1 to w, which gives w = n + 50.\n5. Substitute n = a + 15 to w, which gives w = a + 65.\n6. Substitute a = 9 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 25415,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 2; x = z + 1; c = f + 3; f = i + 16; a = 9; n = a + 15; w = h + 15; d = o + 16; i = a + 3; h = d + 4; k = x + 3; t = n + 1; o = t + 14. If a = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 14", "f": "d + 9", "i": "f + 14", "e": "i + 4", "n": "e + 12", "p": "n + 1", "w": "v + 9", "l": "w + 8", "c": "l + 10", "k": "c + 3", "s": "k + 13", "o": "s + 9", "v": 3}, "premises": {"v": 3}, "target": "p"}, "answer": {"steps": [["n", "e + 12", "e + 13"], ["e", "i + 4", "i + 17"], ["i", "f + 14", "f + 31"], ["f", "d + 9", "d + 40"], ["d", "v + 14", "v + 54"], ["v", 3, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"v": 3}, "is_reverse": true}}
| 25,416
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 3; l = w + 8; c = l + 10; w = v + 9; f = d + 9; p = n + 1; k = c + 3; o = s + 9; e = i + 4; s = k + 13; i = f + 14; n = e + 12; d = v + 14. If v = 3, 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 n = e + 12 to p, which gives p = e + 13.\n2. Substitute e = i + 4 to p, which gives p = i + 17.\n3. Substitute i = f + 14 to p, which gives p = f + 31.\n4. Substitute f = d + 9 to p, which gives p = d + 40.\n5. Substitute d = v + 14 to p, which gives p = v + 54.\n6. Substitute v = 3 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 25416,
"question": "Consider a system of variables where each variable is defined as follows: v = 3; l = w + 8; c = l + 10; w = v + 9; f = d + 9; p = n + 1; k = c + 3; o = s + 9; e = i + 4; s = k + 13; i = f + 14; n = e + 12; d = v + 14. If v = 3, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 10", "b": "g + 6", "i": "b + 5", "p": "i + 20", "v": "p + 3", "d": "v + 7", "z": "y + 8", "n": "z + 12", "k": "n + 20", "a": "k + 18", "x": "a + 14", "c": "x + 11", "y": 4}, "premises": {"y": 4}, "target": "d"}, "answer": {"steps": [["v", "p + 3", "p + 10"], ["p", "i + 20", "i + 30"], ["i", "b + 5", "b + 35"], ["b", "g + 6", "g + 41"], ["g", "y + 10", "y + 51"], ["y", 4, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"y": 4}, "is_reverse": true}}
| 25,417
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 6; g = y + 10; p = i + 20; c = x + 11; v = p + 3; i = b + 5; x = a + 14; a = k + 18; n = z + 12; k = n + 20; z = y + 8; y = 4; d = v + 7. Given that y = 4, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 3 to d, which gives d = p + 10.\n2. Substitute p = i + 20 to d, which gives d = i + 30.\n3. Substitute i = b + 5 to d, which gives d = b + 35.\n4. Substitute b = g + 6 to d, which gives d = g + 41.\n5. Substitute g = y + 10 to d, which gives d = y + 51.\n6. Substitute y = 4 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 25417,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 6; g = y + 10; p = i + 20; c = x + 11; v = p + 3; i = b + 5; x = a + 14; a = k + 18; n = z + 12; k = n + 20; z = y + 8; y = 4; d = v + 7. Given that y = 4, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "s + 6", "f": "v + 5", "q": "f + 15", "c": "q + 17", "n": "c + 10", "p": "n + 12", "r": "s + 2", "z": "r + 19", "a": "z + 2", "d": "a + 16", "j": "d + 16", "u": "j + 13", "s": 5}, "premises": {"s": 5}, "target": "p"}, "answer": {"steps": [["n", "c + 10", "c + 22"], ["c", "q + 17", "q + 39"], ["q", "f + 15", "f + 54"], ["f", "v + 5", "v + 59"], ["v", "s + 6", "s + 65"], ["s", 5, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"s": 5}, "is_reverse": true}}
| 25,418
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 19; q = f + 15; c = q + 17; n = c + 10; a = z + 2; s = 5; f = v + 5; d = a + 16; u = j + 13; v = s + 6; p = n + 12; j = d + 16; r = s + 2. If s = 5, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 10 to p, which gives p = c + 22.\n2. Substitute c = q + 17 to p, which gives p = q + 39.\n3. Substitute q = f + 15 to p, which gives p = f + 54.\n4. Substitute f = v + 5 to p, which gives p = v + 59.\n5. Substitute v = s + 6 to p, which gives p = s + 65.\n6. Substitute s = 5 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 25418,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 19; q = f + 15; c = q + 17; n = c + 10; a = z + 2; s = 5; f = v + 5; d = a + 16; u = j + 13; v = s + 6; p = n + 12; j = d + 16; r = s + 2. If s = 5, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 13", "d": "q + 4", "h": "d + 20", "l": "h + 9", "x": "l + 1", "r": "x + 10", "u": "a + 17", "f": "u + 17", "v": "f + 12", "m": "v + 20", "e": "m + 9", "g": "e + 15", "a": 6}, "premises": {"a": 6}, "target": "r"}, "answer": {"steps": [["x", "l + 1", "l + 11"], ["l", "h + 9", "h + 20"], ["h", "d + 20", "d + 40"], ["d", "q + 4", "q + 44"], ["q", "a + 13", "a + 57"], ["a", 6, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"a": 6}, "is_reverse": true}}
| 25,419
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 4; v = f + 12; g = e + 15; q = a + 13; u = a + 17; h = d + 20; r = x + 10; x = l + 1; a = 6; m = v + 20; l = h + 9; e = m + 9; f = u + 17. If a = 6, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 1 to r, which gives r = l + 11.\n2. Substitute l = h + 9 to r, which gives r = h + 20.\n3. Substitute h = d + 20 to r, which gives r = d + 40.\n4. Substitute d = q + 4 to r, which gives r = q + 44.\n5. Substitute q = a + 13 to r, which gives r = a + 57.\n6. Substitute a = 6 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 25419,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 4; v = f + 12; g = e + 15; q = a + 13; u = a + 17; h = d + 20; r = x + 10; x = l + 1; a = 6; m = v + 20; l = h + 9; e = m + 9; f = u + 17. If a = 6, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 9", "i": "p + 17", "t": "i + 8", "d": "t + 19", "s": "d + 4", "g": "s + 1", "x": "k + 19", "o": "x + 20", "a": "o + 20", "h": "a + 7", "r": "h + 12", "m": "r + 17", "k": 12}, "premises": {"k": 12}, "target": "g"}, "answer": {"steps": [["s", "d + 4", "d + 5"], ["d", "t + 19", "t + 24"], ["t", "i + 8", "i + 32"], ["i", "p + 17", "p + 49"], ["p", "k + 9", "k + 58"], ["k", 12, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"k": 12}, "is_reverse": true}}
| 25,420
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 19; a = o + 20; h = a + 7; r = h + 12; k = 12; o = x + 20; s = d + 4; i = p + 17; p = k + 9; g = s + 1; m = r + 17; t = i + 8; d = t + 19. Given that k = 12, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 4 to g, which gives g = d + 5.\n2. Substitute d = t + 19 to g, which gives g = t + 24.\n3. Substitute t = i + 8 to g, which gives g = i + 32.\n4. Substitute i = p + 17 to g, which gives g = p + 49.\n5. Substitute p = k + 9 to g, which gives g = k + 58.\n6. Substitute k = 12 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 25420,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 19; a = o + 20; h = a + 7; r = h + 12; k = 12; o = x + 20; s = d + 4; i = p + 17; p = k + 9; g = s + 1; m = r + 17; t = i + 8; d = t + 19. Given that k = 12, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 12", "u": "v + 17", "g": "u + 3", "b": "g + 18", "e": "b + 11", "w": "e + 13", "k": "j + 10", "a": "k + 2", "s": "a + 15", "i": "s + 6", "x": "i + 7", "r": "x + 3", "j": 11}, "premises": {"j": 11}, "target": "w"}, "answer": {"steps": [["e", "b + 11", "b + 24"], ["b", "g + 18", "g + 42"], ["g", "u + 3", "u + 45"], ["u", "v + 17", "v + 62"], ["v", "j + 12", "j + 74"], ["j", 11, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"j": 11}, "is_reverse": true}}
| 25,421
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 13; g = u + 3; s = a + 15; i = s + 6; e = b + 11; k = j + 10; x = i + 7; v = j + 12; u = v + 17; j = 11; r = x + 3; a = k + 2; b = g + 18. Given that j = 11, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 11 to w, which gives w = b + 24.\n2. Substitute b = g + 18 to w, which gives w = g + 42.\n3. Substitute g = u + 3 to w, which gives w = u + 45.\n4. Substitute u = v + 17 to w, which gives w = v + 62.\n5. Substitute v = j + 12 to w, which gives w = j + 74.\n6. Substitute j = 11 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 25421,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 13; g = u + 3; s = a + 15; i = s + 6; e = b + 11; k = j + 10; x = i + 7; v = j + 12; u = v + 17; j = 11; r = x + 3; a = k + 2; b = g + 18. Given that j = 11, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 20", "o": "c + 8", "x": "o + 12", "e": "x + 7", "r": "e + 18", "v": "r + 16", "g": "i + 1", "a": "g + 9", "n": "a + 15", "p": "n + 13", "m": "p + 19", "f": "m + 6", "i": 9}, "premises": {"i": 9}, "target": "v"}, "answer": {"steps": [["r", "e + 18", "e + 34"], ["e", "x + 7", "x + 41"], ["x", "o + 12", "o + 53"], ["o", "c + 8", "c + 61"], ["c", "i + 20", "i + 81"], ["i", 9, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"i": 9}, "is_reverse": true}}
| 25,422
| 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 = p + 19; n = a + 15; e = x + 7; v = r + 16; i = 9; x = o + 12; r = e + 18; g = i + 1; a = g + 9; p = n + 13; f = m + 6; o = c + 8; c = i + 20. If i = 9, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 18 to v, which gives v = e + 34.\n2. Substitute e = x + 7 to v, which gives v = x + 41.\n3. Substitute x = o + 12 to v, which gives v = o + 53.\n4. Substitute o = c + 8 to v, which gives v = c + 61.\n5. Substitute c = i + 20 to v, which gives v = i + 81.\n6. Substitute i = 9 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 25422,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 19; n = a + 15; e = x + 7; v = r + 16; i = 9; x = o + 12; r = e + 18; g = i + 1; a = g + 9; p = n + 13; f = m + 6; o = c + 8; c = i + 20. If i = 9, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 8", "p": "i + 10", "g": "p + 14", "k": "g + 16", "n": "k + 17", "h": "n + 1", "r": "w + 10", "c": "r + 4", "y": "c + 17", "x": "y + 11", "l": "x + 15", "s": "l + 7", "w": 5}, "premises": {"w": 5}, "target": "h"}, "answer": {"steps": [["n", "k + 17", "k + 18"], ["k", "g + 16", "g + 34"], ["g", "p + 14", "p + 48"], ["p", "i + 10", "i + 58"], ["i", "w + 8", "w + 66"], ["w", 5, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"w": 5}, "is_reverse": true}}
| 25,423
| 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 = k + 17; h = n + 1; r = w + 10; k = g + 16; c = r + 4; p = i + 10; w = 5; s = l + 7; g = p + 14; l = x + 15; y = c + 17; x = y + 11; i = w + 8. If w = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 17 to h, which gives h = k + 18.\n2. Substitute k = g + 16 to h, which gives h = g + 34.\n3. Substitute g = p + 14 to h, which gives h = p + 48.\n4. Substitute p = i + 10 to h, which gives h = i + 58.\n5. Substitute i = w + 8 to h, which gives h = w + 66.\n6. Substitute w = 5 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 25423,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 17; h = n + 1; r = w + 10; k = g + 16; c = r + 4; p = i + 10; w = 5; s = l + 7; g = p + 14; l = x + 15; y = c + 17; x = y + 11; i = w + 8. If w = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 4", "l": "y + 20", "r": "l + 10", "q": "r + 19", "m": "q + 20", "j": "m + 7", "d": "b + 2", "g": "d + 6", "w": "g + 20", "v": "w + 7", "x": "v + 19", "p": "x + 15", "b": 4}, "premises": {"b": 4}, "target": "j"}, "answer": {"steps": [["m", "q + 20", "q + 27"], ["q", "r + 19", "r + 46"], ["r", "l + 10", "l + 56"], ["l", "y + 20", "y + 76"], ["y", "b + 4", "b + 80"], ["b", 4, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"b": 4}, "is_reverse": true}}
| 25,424
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 20; g = d + 6; l = y + 20; b = 4; v = w + 7; m = q + 20; x = v + 19; r = l + 10; p = x + 15; y = b + 4; d = b + 2; j = m + 7; q = r + 19. If b = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 20 to j, which gives j = q + 27.\n2. Substitute q = r + 19 to j, which gives j = r + 46.\n3. Substitute r = l + 10 to j, which gives j = l + 56.\n4. Substitute l = y + 20 to j, which gives j = y + 76.\n5. Substitute y = b + 4 to j, which gives j = b + 80.\n6. Substitute b = 4 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 25424,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 20; g = d + 6; l = y + 20; b = 4; v = w + 7; m = q + 20; x = v + 19; r = l + 10; p = x + 15; y = b + 4; d = b + 2; j = m + 7; q = r + 19. If b = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 1", "c": "n + 20", "t": "c + 8", "s": "t + 18", "i": "s + 5", "w": "i + 19", "z": "h + 10", "u": "z + 18", "l": "u + 19", "m": "l + 17", "r": "m + 1", "e": "r + 19", "h": 3}, "premises": {"h": 3}, "target": "w"}, "answer": {"steps": [["i", "s + 5", "s + 24"], ["s", "t + 18", "t + 42"], ["t", "c + 8", "c + 50"], ["c", "n + 20", "n + 70"], ["n", "h + 1", "h + 71"], ["h", 3, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"h": 3}, "is_reverse": true}}
| 25,425
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 19; w = i + 19; t = c + 8; l = u + 19; n = h + 1; u = z + 18; z = h + 10; c = n + 20; i = s + 5; h = 3; m = l + 17; s = t + 18; r = m + 1. If h = 3, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 5 to w, which gives w = s + 24.\n2. Substitute s = t + 18 to w, which gives w = t + 42.\n3. Substitute t = c + 8 to w, which gives w = c + 50.\n4. Substitute c = n + 20 to w, which gives w = n + 70.\n5. Substitute n = h + 1 to w, which gives w = h + 71.\n6. Substitute h = 3 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 25425,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 19; w = i + 19; t = c + 8; l = u + 19; n = h + 1; u = z + 18; z = h + 10; c = n + 20; i = s + 5; h = 3; m = l + 17; s = t + 18; r = m + 1. If h = 3, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "t + 17", "u": "v + 15", "i": "u + 15", "a": "i + 16", "e": "a + 14", "m": "e + 10", "p": "t + 2", "o": "p + 6", "x": "o + 12", "b": "x + 16", "z": "b + 10", "h": "z + 19", "t": 13}, "premises": {"t": 13}, "target": "m"}, "answer": {"steps": [["e", "a + 14", "a + 24"], ["a", "i + 16", "i + 40"], ["i", "u + 15", "u + 55"], ["u", "v + 15", "v + 70"], ["v", "t + 17", "t + 87"], ["t", 13, "100"]], "target_var_name": "m", "target_value": 100, "value_dict": {"t": 13}, "is_reverse": true}}
| 25,426
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 15; x = o + 12; i = u + 15; b = x + 16; t = 13; a = i + 16; m = e + 10; h = z + 19; z = b + 10; o = p + 6; p = t + 2; e = a + 14; v = t + 17. If t = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 14 to m, which gives m = a + 24.\n2. Substitute a = i + 16 to m, which gives m = i + 40.\n3. Substitute i = u + 15 to m, which gives m = u + 55.\n4. Substitute u = v + 15 to m, which gives m = v + 70.\n5. Substitute v = t + 17 to m, which gives m = t + 87.\n6. Substitute t = 13 to m, which gives m = 100.\n\nThus, the final answer is m = \\boxed{100}.",
"index": 25426,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 15; x = o + 12; i = u + 15; b = x + 16; t = 13; a = i + 16; m = e + 10; h = z + 19; z = b + 10; o = p + 6; p = t + 2; e = a + 14; v = t + 17. If t = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "o + 16", "c": "v + 12", "z": "c + 18", "t": "z + 12", "b": "t + 19", "s": "b + 20", "x": "o + 16", "y": "x + 17", "e": "y + 14", "q": "e + 9", "m": "q + 13", "k": "m + 8", "o": 16}, "premises": {"o": 16}, "target": "s"}, "answer": {"steps": [["b", "t + 19", "t + 39"], ["t", "z + 12", "z + 51"], ["z", "c + 18", "c + 69"], ["c", "v + 12", "v + 81"], ["v", "o + 16", "o + 97"], ["o", 16, "113"]], "target_var_name": "s", "target_value": 113, "value_dict": {"o": 16}, "is_reverse": true}}
| 25,427
| 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 = o + 16; m = q + 13; q = e + 9; z = c + 18; y = x + 17; o = 16; s = b + 20; x = o + 16; t = z + 12; c = v + 12; e = y + 14; k = m + 8; b = t + 19. If o = 16, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 113,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 19 to s, which gives s = t + 39.\n2. Substitute t = z + 12 to s, which gives s = z + 51.\n3. Substitute z = c + 18 to s, which gives s = c + 69.\n4. Substitute c = v + 12 to s, which gives s = v + 81.\n5. Substitute v = o + 16 to s, which gives s = o + 97.\n6. Substitute o = 16 to s, which gives s = 113.\n\nThus, the final answer is s = \\boxed{113}.",
"index": 25427,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 16; m = q + 13; q = e + 9; z = c + 18; y = x + 17; o = 16; s = b + 20; x = o + 16; t = z + 12; c = v + 12; e = y + 14; k = m + 8; b = t + 19. If o = 16, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 19", "j": "u + 9", "p": "j + 7", "e": "p + 10", "t": "e + 2", "x": "t + 7", "z": "d + 5", "o": "z + 9", "s": "o + 16", "h": "s + 9", "g": "h + 9", "v": "g + 14", "d": 12}, "premises": {"d": 12}, "target": "x"}, "answer": {"steps": [["t", "e + 2", "e + 9"], ["e", "p + 10", "p + 19"], ["p", "j + 7", "j + 26"], ["j", "u + 9", "u + 35"], ["u", "d + 19", "d + 54"], ["d", 12, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"d": 12}, "is_reverse": true}}
| 25,428
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 7; t = e + 2; d = 12; g = h + 9; v = g + 14; p = j + 7; o = z + 9; j = u + 9; z = d + 5; s = o + 16; e = p + 10; u = d + 19; h = s + 9. If d = 12, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 2 to x, which gives x = e + 9.\n2. Substitute e = p + 10 to x, which gives x = p + 19.\n3. Substitute p = j + 7 to x, which gives x = j + 26.\n4. Substitute j = u + 9 to x, which gives x = u + 35.\n5. Substitute u = d + 19 to x, which gives x = d + 54.\n6. Substitute d = 12 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 25428,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 7; t = e + 2; d = 12; g = h + 9; v = g + 14; p = j + 7; o = z + 9; j = u + 9; z = d + 5; s = o + 16; e = p + 10; u = d + 19; h = s + 9. If d = 12, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 10", "q": "p + 10", "l": "q + 11", "e": "l + 3", "m": "e + 14", "o": "m + 13", "g": "x + 17", "k": "g + 5", "w": "k + 5", "a": "w + 15", "u": "a + 7", "y": "u + 8", "x": 11}, "premises": {"x": 11}, "target": "o"}, "answer": {"steps": [["m", "e + 14", "e + 27"], ["e", "l + 3", "l + 30"], ["l", "q + 11", "q + 41"], ["q", "p + 10", "p + 51"], ["p", "x + 10", "x + 61"], ["x", 11, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"x": 11}, "is_reverse": true}}
| 25,429
| 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 = k + 5; y = u + 8; g = x + 17; e = l + 3; m = e + 14; a = w + 15; q = p + 10; k = g + 5; l = q + 11; o = m + 13; p = x + 10; u = a + 7; x = 11. If x = 11, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 14 to o, which gives o = e + 27.\n2. Substitute e = l + 3 to o, which gives o = l + 30.\n3. Substitute l = q + 11 to o, which gives o = q + 41.\n4. Substitute q = p + 10 to o, which gives o = p + 51.\n5. Substitute p = x + 10 to o, which gives o = x + 61.\n6. Substitute x = 11 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 25429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 5; y = u + 8; g = x + 17; e = l + 3; m = e + 14; a = w + 15; q = p + 10; k = g + 5; l = q + 11; o = m + 13; p = x + 10; u = a + 7; x = 11. If x = 11, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 20", "g": "e + 20", "c": "g + 1", "r": "c + 18", "w": "r + 18", "z": "w + 13", "j": "a + 20", "l": "j + 13", "n": "l + 1", "x": "n + 20", "s": "x + 5", "q": "s + 8", "a": 10}, "premises": {"a": 10}, "target": "z"}, "answer": {"steps": [["w", "r + 18", "r + 31"], ["r", "c + 18", "c + 49"], ["c", "g + 1", "g + 50"], ["g", "e + 20", "e + 70"], ["e", "a + 20", "a + 90"], ["a", 10, "100"]], "target_var_name": "z", "target_value": 100, "value_dict": {"a": 10}, "is_reverse": true}}
| 25,430
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 13; e = a + 20; g = e + 20; c = g + 1; x = n + 20; r = c + 18; s = x + 5; z = w + 13; n = l + 1; w = r + 18; a = 10; j = a + 20; q = s + 8. If a = 10, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 18 to z, which gives z = r + 31.\n2. Substitute r = c + 18 to z, which gives z = c + 49.\n3. Substitute c = g + 1 to z, which gives z = g + 50.\n4. Substitute g = e + 20 to z, which gives z = e + 70.\n5. Substitute e = a + 20 to z, which gives z = a + 90.\n6. Substitute a = 10 to z, which gives z = 100.\n\nThus, the final answer is z = \\boxed{100}.",
"index": 25430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 13; e = a + 20; g = e + 20; c = g + 1; x = n + 20; r = c + 18; s = x + 5; z = w + 13; n = l + 1; w = r + 18; a = 10; j = a + 20; q = s + 8. If a = 10, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "p + 15", "j": "y + 16", "o": "j + 4", "d": "o + 1", "g": "d + 6", "i": "g + 7", "h": "p + 14", "k": "h + 8", "f": "k + 3", "l": "f + 4", "t": "l + 10", "r": "t + 6", "p": 6}, "premises": {"p": 6}, "target": "i"}, "answer": {"steps": [["g", "d + 6", "d + 13"], ["d", "o + 1", "o + 14"], ["o", "j + 4", "j + 18"], ["j", "y + 16", "y + 34"], ["y", "p + 15", "p + 49"], ["p", 6, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"p": 6}, "is_reverse": true}}
| 25,431
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 1; t = l + 10; o = j + 4; r = t + 6; i = g + 7; l = f + 4; k = h + 8; h = p + 14; p = 6; y = p + 15; j = y + 16; f = k + 3; g = d + 6. If p = 6, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 6 to i, which gives i = d + 13.\n2. Substitute d = o + 1 to i, which gives i = o + 14.\n3. Substitute o = j + 4 to i, which gives i = j + 18.\n4. Substitute j = y + 16 to i, which gives i = y + 34.\n5. Substitute y = p + 15 to i, which gives i = p + 49.\n6. Substitute p = 6 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 25431,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 1; t = l + 10; o = j + 4; r = t + 6; i = g + 7; l = f + 4; k = h + 8; h = p + 14; p = 6; y = p + 15; j = y + 16; f = k + 3; g = d + 6. If p = 6, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 4", "u": "g + 12", "v": "u + 16", "z": "v + 17", "n": "z + 13", "e": "n + 19", "d": "a + 13", "r": "d + 13", "x": "r + 1", "p": "x + 9", "y": "p + 17", "b": "y + 15", "a": 15}, "premises": {"a": 15}, "target": "e"}, "answer": {"steps": [["n", "z + 13", "z + 32"], ["z", "v + 17", "v + 49"], ["v", "u + 16", "u + 65"], ["u", "g + 12", "g + 77"], ["g", "a + 4", "a + 81"], ["a", 15, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"a": 15}, "is_reverse": true}}
| 25,432
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 19; d = a + 13; x = r + 1; z = v + 17; p = x + 9; r = d + 13; a = 15; n = z + 13; u = g + 12; v = u + 16; b = y + 15; g = a + 4; y = p + 17. Given that a = 15, find the 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 n = z + 13 to e, which gives e = z + 32.\n2. Substitute z = v + 17 to e, which gives e = v + 49.\n3. Substitute v = u + 16 to e, which gives e = u + 65.\n4. Substitute u = g + 12 to e, which gives e = g + 77.\n5. Substitute g = a + 4 to e, which gives e = a + 81.\n6. Substitute a = 15 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 25432,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 19; d = a + 13; x = r + 1; z = v + 17; p = x + 9; r = d + 13; a = 15; n = z + 13; u = g + 12; v = u + 16; b = y + 15; g = a + 4; y = p + 17. Given that a = 15, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 17", "i": "s + 16", "g": "i + 9", "v": "g + 2", "b": "v + 4", "r": "b + 16", "z": "n + 14", "o": "z + 20", "t": "o + 18", "w": "t + 1", "h": "w + 16", "a": "h + 13", "n": 14}, "premises": {"n": 14}, "target": "r"}, "answer": {"steps": [["b", "v + 4", "v + 20"], ["v", "g + 2", "g + 22"], ["g", "i + 9", "i + 31"], ["i", "s + 16", "s + 47"], ["s", "n + 17", "n + 64"], ["n", 14, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"n": 14}, "is_reverse": true}}
| 25,433
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 18; v = g + 2; w = t + 1; b = v + 4; s = n + 17; r = b + 16; o = z + 20; i = s + 16; g = i + 9; z = n + 14; h = w + 16; n = 14; a = h + 13. If n = 14, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 4 to r, which gives r = v + 20.\n2. Substitute v = g + 2 to r, which gives r = g + 22.\n3. Substitute g = i + 9 to r, which gives r = i + 31.\n4. Substitute i = s + 16 to r, which gives r = s + 47.\n5. Substitute s = n + 17 to r, which gives r = n + 64.\n6. Substitute n = 14 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 25433,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 18; v = g + 2; w = t + 1; b = v + 4; s = n + 17; r = b + 16; o = z + 20; i = s + 16; g = i + 9; z = n + 14; h = w + 16; n = 14; a = h + 13. If n = 14, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 8", "l": "g + 20", "z": "l + 9", "r": "z + 8", "a": "r + 3", "n": "a + 15", "q": "d + 1", "y": "q + 17", "x": "y + 20", "b": "x + 4", "s": "b + 18", "k": "s + 13", "d": 17}, "premises": {"d": 17}, "target": "n"}, "answer": {"steps": [["a", "r + 3", "r + 18"], ["r", "z + 8", "z + 26"], ["z", "l + 9", "l + 35"], ["l", "g + 20", "g + 55"], ["g", "d + 8", "d + 63"], ["d", 17, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"d": 17}, "is_reverse": true}}
| 25,434
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 3; y = q + 17; g = d + 8; n = a + 15; l = g + 20; x = y + 20; b = x + 4; q = d + 1; z = l + 9; d = 17; r = z + 8; s = b + 18; k = s + 13. Given that d = 17, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 3 to n, which gives n = r + 18.\n2. Substitute r = z + 8 to n, which gives n = z + 26.\n3. Substitute z = l + 9 to n, which gives n = l + 35.\n4. Substitute l = g + 20 to n, which gives n = g + 55.\n5. Substitute g = d + 8 to n, which gives n = d + 63.\n6. Substitute d = 17 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 25434,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 3; y = q + 17; g = d + 8; n = a + 15; l = g + 20; x = y + 20; b = x + 4; q = d + 1; z = l + 9; d = 17; r = z + 8; s = b + 18; k = s + 13. Given that d = 17, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 20", "t": "z + 18", "f": "t + 4", "p": "f + 5", "o": "p + 16", "j": "o + 19", "h": "i + 6", "u": "h + 6", "c": "u + 12", "d": "c + 11", "g": "d + 5", "l": "g + 14", "i": 14}, "premises": {"i": 14}, "target": "j"}, "answer": {"steps": [["o", "p + 16", "p + 35"], ["p", "f + 5", "f + 40"], ["f", "t + 4", "t + 44"], ["t", "z + 18", "z + 62"], ["z", "i + 20", "i + 82"], ["i", 14, "96"]], "target_var_name": "j", "target_value": 96, "value_dict": {"i": 14}, "is_reverse": true}}
| 25,435
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 11; o = p + 16; h = i + 6; l = g + 14; u = h + 6; i = 14; j = o + 19; f = t + 4; c = u + 12; t = z + 18; z = i + 20; p = f + 5; g = d + 5. If i = 14, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 16 to j, which gives j = p + 35.\n2. Substitute p = f + 5 to j, which gives j = f + 40.\n3. Substitute f = t + 4 to j, which gives j = t + 44.\n4. Substitute t = z + 18 to j, which gives j = z + 62.\n5. Substitute z = i + 20 to j, which gives j = i + 82.\n6. Substitute i = 14 to j, which gives j = 96.\n\nThus, the final answer is j = \\boxed{96}.",
"index": 25435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 11; o = p + 16; h = i + 6; l = g + 14; u = h + 6; i = 14; j = o + 19; f = t + 4; c = u + 12; t = z + 18; z = i + 20; p = f + 5; g = d + 5. If i = 14, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 16", "i": "h + 10", "y": "i + 13", "z": "y + 13", "e": "z + 14", "v": "e + 2", "f": "w + 18", "a": "f + 20", "l": "a + 9", "r": "l + 10", "p": "r + 13", "g": "p + 17", "w": 12}, "premises": {"w": 12}, "target": "v"}, "answer": {"steps": [["e", "z + 14", "z + 16"], ["z", "y + 13", "y + 29"], ["y", "i + 13", "i + 42"], ["i", "h + 10", "h + 52"], ["h", "w + 16", "w + 68"], ["w", 12, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"w": 12}, "is_reverse": true}}
| 25,436
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 17; y = i + 13; h = w + 16; v = e + 2; i = h + 10; w = 12; z = y + 13; f = w + 18; e = z + 14; a = f + 20; p = r + 13; r = l + 10; l = a + 9. If w = 12, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 14 to v, which gives v = z + 16.\n2. Substitute z = y + 13 to v, which gives v = y + 29.\n3. Substitute y = i + 13 to v, which gives v = i + 42.\n4. Substitute i = h + 10 to v, which gives v = h + 52.\n5. Substitute h = w + 16 to v, which gives v = w + 68.\n6. Substitute w = 12 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 25436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 17; y = i + 13; h = w + 16; v = e + 2; i = h + 10; w = 12; z = y + 13; f = w + 18; e = z + 14; a = f + 20; p = r + 13; r = l + 10; l = a + 9. If w = 12, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 10", "r": "q + 16", "y": "r + 14", "z": "y + 14", "t": "z + 1", "l": "t + 7", "o": "u + 2", "k": "o + 20", "g": "k + 7", "v": "g + 9", "d": "v + 11", "s": "d + 4", "u": 8}, "premises": {"u": 8}, "target": "l"}, "answer": {"steps": [["t", "z + 1", "z + 8"], ["z", "y + 14", "y + 22"], ["y", "r + 14", "r + 36"], ["r", "q + 16", "q + 52"], ["q", "u + 10", "u + 62"], ["u", 8, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"u": 8}, "is_reverse": true}}
| 25,437
| 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 = o + 20; z = y + 14; g = k + 7; d = v + 11; t = z + 1; o = u + 2; q = u + 10; s = d + 4; y = r + 14; u = 8; r = q + 16; v = g + 9; l = t + 7. If u = 8, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 1 to l, which gives l = z + 8.\n2. Substitute z = y + 14 to l, which gives l = y + 22.\n3. Substitute y = r + 14 to l, which gives l = r + 36.\n4. Substitute r = q + 16 to l, which gives l = q + 52.\n5. Substitute q = u + 10 to l, which gives l = u + 62.\n6. Substitute u = 8 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 25437,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 20; z = y + 14; g = k + 7; d = v + 11; t = z + 1; o = u + 2; q = u + 10; s = d + 4; y = r + 14; u = 8; r = q + 16; v = g + 9; l = t + 7. If u = 8, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"i": "k + 3", "l": "i + 1", "u": "l + 8", "e": "u + 5", "w": "e + 20", "p": "w + 15", "s": "k + 18", "y": "s + 4", "x": "y + 16", "m": "x + 4", "o": "m + 18", "b": "o + 12", "k": 19}, "premises": {"k": 19}, "target": "p"}, "answer": {"steps": [["w", "e + 20", "e + 35"], ["e", "u + 5", "u + 40"], ["u", "l + 8", "l + 48"], ["l", "i + 1", "i + 49"], ["i", "k + 3", "k + 52"], ["k", 19, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"k": 19}, "is_reverse": true}}
| 25,438
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 15; s = k + 18; b = o + 12; y = s + 4; k = 19; u = l + 8; m = x + 4; i = k + 3; e = u + 5; w = e + 20; o = m + 18; x = y + 16; l = i + 1. If k = 19, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 20 to p, which gives p = e + 35.\n2. Substitute e = u + 5 to p, which gives p = u + 40.\n3. Substitute u = l + 8 to p, which gives p = l + 48.\n4. Substitute l = i + 1 to p, which gives p = i + 49.\n5. Substitute i = k + 3 to p, which gives p = k + 52.\n6. Substitute k = 19 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 25438,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 15; s = k + 18; b = o + 12; y = s + 4; k = 19; u = l + 8; m = x + 4; i = k + 3; e = u + 5; w = e + 20; o = m + 18; x = y + 16; l = i + 1. If k = 19, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 13", "k": "q + 14", "i": "k + 14", "w": "i + 20", "m": "w + 13", "s": "m + 13", "p": "o + 13", "g": "p + 14", "a": "g + 17", "j": "a + 19", "l": "j + 16", "f": "l + 12", "o": 18}, "premises": {"o": 18}, "target": "s"}, "answer": {"steps": [["m", "w + 13", "w + 26"], ["w", "i + 20", "i + 46"], ["i", "k + 14", "k + 60"], ["k", "q + 14", "q + 74"], ["q", "o + 13", "o + 87"], ["o", 18, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"o": 18}, "is_reverse": true}}
| 25,439
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 13; p = o + 13; s = m + 13; k = q + 14; l = j + 16; g = p + 14; j = a + 19; f = l + 12; a = g + 17; o = 18; q = o + 13; i = k + 14; w = i + 20. If o = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 13 to s, which gives s = w + 26.\n2. Substitute w = i + 20 to s, which gives s = i + 46.\n3. Substitute i = k + 14 to s, which gives s = k + 60.\n4. Substitute k = q + 14 to s, which gives s = q + 74.\n5. Substitute q = o + 13 to s, which gives s = o + 87.\n6. Substitute o = 18 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 25439,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 13; p = o + 13; s = m + 13; k = q + 14; l = j + 16; g = p + 14; j = a + 19; f = l + 12; a = g + 17; o = 18; q = o + 13; i = k + 14; w = i + 20. If o = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 2", "t": "g + 17", "w": "t + 15", "z": "w + 4", "o": "z + 9", "r": "o + 2", "a": "b + 3", "y": "a + 12", "x": "y + 4", "i": "x + 13", "p": "i + 20", "j": "p + 19", "b": 13}, "premises": {"b": 13}, "target": "r"}, "answer": {"steps": [["o", "z + 9", "z + 11"], ["z", "w + 4", "w + 15"], ["w", "t + 15", "t + 30"], ["t", "g + 17", "g + 47"], ["g", "b + 2", "b + 49"], ["b", 13, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"b": 13}, "is_reverse": true}}
| 25,440
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 13; x = y + 4; r = o + 2; y = a + 12; t = g + 17; p = i + 20; o = z + 9; a = b + 3; b = 13; g = b + 2; w = t + 15; z = w + 4; j = p + 19. If b = 13, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 9 to r, which gives r = z + 11.\n2. Substitute z = w + 4 to r, which gives r = w + 15.\n3. Substitute w = t + 15 to r, which gives r = t + 30.\n4. Substitute t = g + 17 to r, which gives r = g + 47.\n5. Substitute g = b + 2 to r, which gives r = b + 49.\n6. Substitute b = 13 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 25440,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 13; x = y + 4; r = o + 2; y = a + 12; t = g + 17; p = i + 20; o = z + 9; a = b + 3; b = 13; g = b + 2; w = t + 15; z = w + 4; j = p + 19. If b = 13, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 5", "i": "c + 14", "e": "i + 7", "r": "e + 20", "q": "r + 17", "o": "q + 13", "g": "u + 15", "x": "g + 17", "v": "x + 2", "p": "v + 17", "k": "p + 5", "j": "k + 20", "u": 14}, "premises": {"u": 14}, "target": "o"}, "answer": {"steps": [["q", "r + 17", "r + 30"], ["r", "e + 20", "e + 50"], ["e", "i + 7", "i + 57"], ["i", "c + 14", "c + 71"], ["c", "u + 5", "u + 76"], ["u", 14, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"u": 14}, "is_reverse": true}}
| 25,441
| 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 = k + 20; i = c + 14; k = p + 5; p = v + 17; q = r + 17; r = e + 20; e = i + 7; x = g + 17; u = 14; g = u + 15; v = x + 2; o = q + 13; c = u + 5. If u = 14, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 17 to o, which gives o = r + 30.\n2. Substitute r = e + 20 to o, which gives o = e + 50.\n3. Substitute e = i + 7 to o, which gives o = i + 57.\n4. Substitute i = c + 14 to o, which gives o = c + 71.\n5. Substitute c = u + 5 to o, which gives o = u + 76.\n6. Substitute u = 14 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 25441,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 20; i = c + 14; k = p + 5; p = v + 17; q = r + 17; r = e + 20; e = i + 7; x = g + 17; u = 14; g = u + 15; v = x + 2; o = q + 13; c = u + 5. If u = 14, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 3", "e": "b + 2", "y": "e + 20", "w": "y + 16", "r": "w + 1", "j": "r + 11", "l": "o + 6", "i": "l + 8", "t": "i + 17", "f": "t + 2", "c": "f + 11", "k": "c + 1", "o": 4}, "premises": {"o": 4}, "target": "j"}, "answer": {"steps": [["r", "w + 1", "w + 12"], ["w", "y + 16", "y + 28"], ["y", "e + 20", "e + 48"], ["e", "b + 2", "b + 50"], ["b", "o + 3", "o + 53"], ["o", 4, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"o": 4}, "is_reverse": true}}
| 25,442
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 6; e = b + 2; y = e + 20; b = o + 3; f = t + 2; w = y + 16; t = i + 17; i = l + 8; c = f + 11; r = w + 1; k = c + 1; o = 4; j = r + 11. Given that o = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 1 to j, which gives j = w + 12.\n2. Substitute w = y + 16 to j, which gives j = y + 28.\n3. Substitute y = e + 20 to j, which gives j = e + 48.\n4. Substitute e = b + 2 to j, which gives j = b + 50.\n5. Substitute b = o + 3 to j, which gives j = o + 53.\n6. Substitute o = 4 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 25442,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 6; e = b + 2; y = e + 20; b = o + 3; f = t + 2; w = y + 16; t = i + 17; i = l + 8; c = f + 11; r = w + 1; k = c + 1; o = 4; j = r + 11. Given that o = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 13", "z": "o + 18", "y": "z + 19", "k": "y + 9", "a": "k + 6", "q": "a + 16", "p": "n + 9", "s": "p + 2", "b": "s + 16", "f": "b + 12", "u": "f + 11", "j": "u + 4", "n": 5}, "premises": {"n": 5}, "target": "q"}, "answer": {"steps": [["a", "k + 6", "k + 22"], ["k", "y + 9", "y + 31"], ["y", "z + 19", "z + 50"], ["z", "o + 18", "o + 68"], ["o", "n + 13", "n + 81"], ["n", 5, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"n": 5}, "is_reverse": true}}
| 25,443
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 11; j = u + 4; a = k + 6; p = n + 9; o = n + 13; k = y + 9; z = o + 18; q = a + 16; n = 5; b = s + 16; y = z + 19; s = p + 2; f = b + 12. If n = 5, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 6 to q, which gives q = k + 22.\n2. Substitute k = y + 9 to q, which gives q = y + 31.\n3. Substitute y = z + 19 to q, which gives q = z + 50.\n4. Substitute z = o + 18 to q, which gives q = o + 68.\n5. Substitute o = n + 13 to q, which gives q = n + 81.\n6. Substitute n = 5 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 25443,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 11; j = u + 4; a = k + 6; p = n + 9; o = n + 13; k = y + 9; z = o + 18; q = a + 16; n = 5; b = s + 16; y = z + 19; s = p + 2; f = b + 12. If n = 5, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 11", "j": "e + 2", "t": "j + 15", "y": "t + 4", "q": "y + 18", "s": "q + 3", "r": "d + 1", "v": "r + 9", "a": "v + 9", "g": "a + 4", "l": "g + 6", "m": "l + 19", "d": 10}, "premises": {"d": 10}, "target": "s"}, "answer": {"steps": [["q", "y + 18", "y + 21"], ["y", "t + 4", "t + 25"], ["t", "j + 15", "j + 40"], ["j", "e + 2", "e + 42"], ["e", "d + 11", "d + 53"], ["d", 10, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"d": 10}, "is_reverse": true}}
| 25,444
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = g + 6; a = v + 9; t = j + 15; e = d + 11; y = t + 4; v = r + 9; r = d + 1; s = q + 3; m = l + 19; d = 10; g = a + 4; q = y + 18; j = e + 2. If d = 10, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 18 to s, which gives s = y + 21.\n2. Substitute y = t + 4 to s, which gives s = t + 25.\n3. Substitute t = j + 15 to s, which gives s = j + 40.\n4. Substitute j = e + 2 to s, which gives s = e + 42.\n5. Substitute e = d + 11 to s, which gives s = d + 53.\n6. Substitute d = 10 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 25444,
"question": "Consider a system of variables where each variable is defined as follows: l = g + 6; a = v + 9; t = j + 15; e = d + 11; y = t + 4; v = r + 9; r = d + 1; s = q + 3; m = l + 19; d = 10; g = a + 4; q = y + 18; j = e + 2. If d = 10, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 15", "m": "n + 13", "t": "m + 14", "v": "t + 10", "w": "v + 2", "e": "w + 10", "p": "b + 11", "d": "p + 16", "a": "d + 16", "s": "a + 9", "l": "s + 16", "z": "l + 19", "b": 11}, "premises": {"b": 11}, "target": "e"}, "answer": {"steps": [["w", "v + 2", "v + 12"], ["v", "t + 10", "t + 22"], ["t", "m + 14", "m + 36"], ["m", "n + 13", "n + 49"], ["n", "b + 15", "b + 64"], ["b", 11, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"b": 11}, "is_reverse": true}}
| 25,445
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = v + 2; e = w + 10; p = b + 11; n = b + 15; b = 11; z = l + 19; d = p + 16; m = n + 13; a = d + 16; l = s + 16; v = t + 10; s = a + 9; t = m + 14. Given that b = 11, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 2 to e, which gives e = v + 12.\n2. Substitute v = t + 10 to e, which gives e = t + 22.\n3. Substitute t = m + 14 to e, which gives e = m + 36.\n4. Substitute m = n + 13 to e, which gives e = n + 49.\n5. Substitute n = b + 15 to e, which gives e = b + 64.\n6. Substitute b = 11 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 25445,
"question": "Suppose a collection of variables is related by the following definitions: w = v + 2; e = w + 10; p = b + 11; n = b + 15; b = 11; z = l + 19; d = p + 16; m = n + 13; a = d + 16; l = s + 16; v = t + 10; s = a + 9; t = m + 14. Given that b = 11, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 20", "c": "w + 3", "f": "c + 12", "o": "f + 19", "p": "o + 16", "t": "p + 13", "d": "b + 10", "q": "d + 19", "v": "q + 17", "a": "v + 17", "y": "a + 12", "e": "y + 13", "b": 11}, "premises": {"b": 11}, "target": "t"}, "answer": {"steps": [["p", "o + 16", "o + 29"], ["o", "f + 19", "f + 48"], ["f", "c + 12", "c + 60"], ["c", "w + 3", "w + 63"], ["w", "b + 20", "b + 83"], ["b", 11, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"b": 11}, "is_reverse": true}}
| 25,446
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = p + 13; y = a + 12; p = o + 16; w = b + 20; b = 11; c = w + 3; v = q + 17; q = d + 19; d = b + 10; a = v + 17; f = c + 12; o = f + 19; e = y + 13. Given that b = 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 p = o + 16 to t, which gives t = o + 29.\n2. Substitute o = f + 19 to t, which gives t = f + 48.\n3. Substitute f = c + 12 to t, which gives t = c + 60.\n4. Substitute c = w + 3 to t, which gives t = w + 63.\n5. Substitute w = b + 20 to t, which gives t = b + 83.\n6. Substitute b = 11 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 25446,
"question": "Suppose a collection of variables is related by the following definitions: t = p + 13; y = a + 12; p = o + 16; w = b + 20; b = 11; c = w + 3; v = q + 17; q = d + 19; d = b + 10; a = v + 17; f = c + 12; o = f + 19; e = y + 13. Given that b = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 3", "h": "k + 1", "m": "h + 15", "c": "m + 2", "n": "c + 4", "u": "n + 1", "g": "l + 1", "b": "g + 13", "v": "b + 5", "o": "v + 7", "q": "o + 2", "j": "q + 11", "l": 19}, "premises": {"l": 19}, "target": "u"}, "answer": {"steps": [["n", "c + 4", "c + 5"], ["c", "m + 2", "m + 7"], ["m", "h + 15", "h + 22"], ["h", "k + 1", "k + 23"], ["k", "l + 3", "l + 26"], ["l", 19, "45"]], "target_var_name": "u", "target_value": 45, "value_dict": {"l": 19}, "is_reverse": true}}
| 25,447
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = b + 5; o = v + 7; h = k + 1; l = 19; n = c + 4; j = q + 11; b = g + 13; q = o + 2; m = h + 15; g = l + 1; c = m + 2; k = l + 3; u = n + 1. If l = 19, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 4 to u, which gives u = c + 5.\n2. Substitute c = m + 2 to u, which gives u = m + 7.\n3. Substitute m = h + 15 to u, which gives u = h + 22.\n4. Substitute h = k + 1 to u, which gives u = k + 23.\n5. Substitute k = l + 3 to u, which gives u = l + 26.\n6. Substitute l = 19 to u, which gives u = 45.\n\nThus, the final answer is u = \\boxed{45}.",
"index": 25447,
"question": "Consider a system of variables where each variable is defined as follows: v = b + 5; o = v + 7; h = k + 1; l = 19; n = c + 4; j = q + 11; b = g + 13; q = o + 2; m = h + 15; g = l + 1; c = m + 2; k = l + 3; u = n + 1. If l = 19, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 10", "n": "v + 19", "o": "n + 1", "k": "o + 11", "c": "k + 9", "l": "c + 7", "y": "m + 5", "s": "y + 11", "h": "s + 13", "w": "h + 9", "a": "w + 5", "f": "a + 14", "m": 3}, "premises": {"m": 3}, "target": "l"}, "answer": {"steps": [["c", "k + 9", "k + 16"], ["k", "o + 11", "o + 27"], ["o", "n + 1", "n + 28"], ["n", "v + 19", "v + 47"], ["v", "m + 10", "m + 57"], ["m", 3, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"m": 3}, "is_reverse": true}}
| 25,448
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 9; m = 3; o = n + 1; a = w + 5; k = o + 11; s = y + 11; y = m + 5; h = s + 13; f = a + 14; c = k + 9; v = m + 10; l = c + 7; n = v + 19. If m = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 9 to l, which gives l = k + 16.\n2. Substitute k = o + 11 to l, which gives l = o + 27.\n3. Substitute o = n + 1 to l, which gives l = n + 28.\n4. Substitute n = v + 19 to l, which gives l = v + 47.\n5. Substitute v = m + 10 to l, which gives l = m + 57.\n6. Substitute m = 3 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 25448,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 9; m = 3; o = n + 1; a = w + 5; k = o + 11; s = y + 11; y = m + 5; h = s + 13; f = a + 14; c = k + 9; v = m + 10; l = c + 7; n = v + 19. If m = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 2", "l": "q + 3", "k": "l + 15", "m": "k + 18", "b": "m + 20", "r": "b + 11", "u": "d + 18", "s": "u + 17", "o": "s + 13", "i": "o + 4", "j": "i + 10", "t": "j + 9", "d": 2}, "premises": {"d": 2}, "target": "r"}, "answer": {"steps": [["b", "m + 20", "m + 31"], ["m", "k + 18", "k + 49"], ["k", "l + 15", "l + 64"], ["l", "q + 3", "q + 67"], ["q", "d + 2", "d + 69"], ["d", 2, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"d": 2}, "is_reverse": true}}
| 25,449
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 2; o = s + 13; u = d + 18; l = q + 3; i = o + 4; m = k + 18; t = j + 9; s = u + 17; r = b + 11; j = i + 10; k = l + 15; b = m + 20; q = d + 2. If d = 2, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 20 to r, which gives r = m + 31.\n2. Substitute m = k + 18 to r, which gives r = k + 49.\n3. Substitute k = l + 15 to r, which gives r = l + 64.\n4. Substitute l = q + 3 to r, which gives r = q + 67.\n5. Substitute q = d + 2 to r, which gives r = d + 69.\n6. Substitute d = 2 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 25449,
"question": "Consider a system of variables where each variable is defined as follows: d = 2; o = s + 13; u = d + 18; l = q + 3; i = o + 4; m = k + 18; t = j + 9; s = u + 17; r = b + 11; j = i + 10; k = l + 15; b = m + 20; q = d + 2. If d = 2, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 17", "i": "n + 3", "s": "i + 7", "f": "s + 10", "c": "f + 12", "k": "c + 7", "o": "x + 13", "h": "o + 9", "p": "h + 9", "m": "p + 16", "t": "m + 13", "a": "t + 10", "x": 8}, "premises": {"x": 8}, "target": "k"}, "answer": {"steps": [["c", "f + 12", "f + 19"], ["f", "s + 10", "s + 29"], ["s", "i + 7", "i + 36"], ["i", "n + 3", "n + 39"], ["n", "x + 17", "x + 56"], ["x", 8, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"x": 8}, "is_reverse": true}}
| 25,450
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 7; a = t + 10; c = f + 12; f = s + 10; p = h + 9; i = n + 3; k = c + 7; h = o + 9; n = x + 17; o = x + 13; x = 8; t = m + 13; m = p + 16. Given that x = 8, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 12 to k, which gives k = f + 19.\n2. Substitute f = s + 10 to k, which gives k = s + 29.\n3. Substitute s = i + 7 to k, which gives k = i + 36.\n4. Substitute i = n + 3 to k, which gives k = n + 39.\n5. Substitute n = x + 17 to k, which gives k = x + 56.\n6. Substitute x = 8 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 25450,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 7; a = t + 10; c = f + 12; f = s + 10; p = h + 9; i = n + 3; k = c + 7; h = o + 9; n = x + 17; o = x + 13; x = 8; t = m + 13; m = p + 16. Given that x = 8, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 12", "y": "s + 7", "w": "y + 3", "h": "w + 3", "a": "h + 8", "c": "a + 13", "e": "x + 11", "g": "e + 6", "p": "g + 6", "z": "p + 3", "l": "z + 20", "k": "l + 13", "x": 7}, "premises": {"x": 7}, "target": "c"}, "answer": {"steps": [["a", "h + 8", "h + 21"], ["h", "w + 3", "w + 24"], ["w", "y + 3", "y + 27"], ["y", "s + 7", "s + 34"], ["s", "x + 12", "x + 46"], ["x", 7, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"x": 7}, "is_reverse": true}}
| 25,451
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 3; k = l + 13; z = p + 3; a = h + 8; g = e + 6; c = a + 13; l = z + 20; w = y + 3; s = x + 12; y = s + 7; x = 7; e = x + 11; p = g + 6. If x = 7, 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 a = h + 8 to c, which gives c = h + 21.\n2. Substitute h = w + 3 to c, which gives c = w + 24.\n3. Substitute w = y + 3 to c, which gives c = y + 27.\n4. Substitute y = s + 7 to c, which gives c = s + 34.\n5. Substitute s = x + 12 to c, which gives c = x + 46.\n6. Substitute x = 7 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 25451,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 3; k = l + 13; z = p + 3; a = h + 8; g = e + 6; c = a + 13; l = z + 20; w = y + 3; s = x + 12; y = s + 7; x = 7; e = x + 11; p = g + 6. If x = 7, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 10", "z": "l + 17", "k": "z + 17", "m": "k + 5", "n": "m + 2", "y": "n + 16", "q": "c + 12", "i": "q + 5", "o": "i + 15", "j": "o + 2", "a": "j + 8", "e": "a + 18", "c": 18}, "premises": {"c": 18}, "target": "y"}, "answer": {"steps": [["n", "m + 2", "m + 18"], ["m", "k + 5", "k + 23"], ["k", "z + 17", "z + 40"], ["z", "l + 17", "l + 57"], ["l", "c + 10", "c + 67"], ["c", 18, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"c": 18}, "is_reverse": true}}
| 25,452
| 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 = k + 5; o = i + 15; z = l + 17; j = o + 2; y = n + 16; c = 18; k = z + 17; l = c + 10; i = q + 5; e = a + 18; a = j + 8; n = m + 2; q = c + 12. If c = 18, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 2 to y, which gives y = m + 18.\n2. Substitute m = k + 5 to y, which gives y = k + 23.\n3. Substitute k = z + 17 to y, which gives y = z + 40.\n4. Substitute z = l + 17 to y, which gives y = l + 57.\n5. Substitute l = c + 10 to y, which gives y = c + 67.\n6. Substitute c = 18 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 25452,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 5; o = i + 15; z = l + 17; j = o + 2; y = n + 16; c = 18; k = z + 17; l = c + 10; i = q + 5; e = a + 18; a = j + 8; n = m + 2; q = c + 12. If c = 18, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 20", "u": "t + 18", "f": "u + 20", "q": "f + 4", "n": "q + 19", "e": "n + 17", "b": "s + 12", "g": "b + 8", "w": "g + 1", "v": "w + 19", "k": "v + 12", "h": "k + 12", "s": 20}, "premises": {"s": 20}, "target": "e"}, "answer": {"steps": [["n", "q + 19", "q + 36"], ["q", "f + 4", "f + 40"], ["f", "u + 20", "u + 60"], ["u", "t + 18", "t + 78"], ["t", "s + 20", "s + 98"], ["s", 20, "118"]], "target_var_name": "e", "target_value": 118, "value_dict": {"s": 20}, "is_reverse": true}}
| 25,453
| 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 = q + 19; b = s + 12; w = g + 1; h = k + 12; f = u + 20; u = t + 18; s = 20; k = v + 12; t = s + 20; v = w + 19; e = n + 17; q = f + 4; g = b + 8. If s = 20, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 118,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 19 to e, which gives e = q + 36.\n2. Substitute q = f + 4 to e, which gives e = f + 40.\n3. Substitute f = u + 20 to e, which gives e = u + 60.\n4. Substitute u = t + 18 to e, which gives e = t + 78.\n5. Substitute t = s + 20 to e, which gives e = s + 98.\n6. Substitute s = 20 to e, which gives e = 118.\n\nThus, the final answer is e = \\boxed{118}.",
"index": 25453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 19; b = s + 12; w = g + 1; h = k + 12; f = u + 20; u = t + 18; s = 20; k = v + 12; t = s + 20; v = w + 19; e = n + 17; q = f + 4; g = b + 8. If s = 20, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 2", "c": "m + 19", "w": "c + 10", "h": "w + 11", "t": "h + 1", "g": "t + 10", "i": "n + 3", "p": "i + 3", "d": "p + 6", "a": "d + 20", "q": "a + 14", "z": "q + 12", "n": 10}, "premises": {"n": 10}, "target": "g"}, "answer": {"steps": [["t", "h + 1", "h + 11"], ["h", "w + 11", "w + 22"], ["w", "c + 10", "c + 32"], ["c", "m + 19", "m + 51"], ["m", "n + 2", "n + 53"], ["n", 10, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"n": 10}, "is_reverse": true}}
| 25,454
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 1; m = n + 2; p = i + 3; g = t + 10; z = q + 12; w = c + 10; a = d + 20; h = w + 11; i = n + 3; c = m + 19; d = p + 6; n = 10; q = a + 14. If n = 10, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 1 to g, which gives g = h + 11.\n2. Substitute h = w + 11 to g, which gives g = w + 22.\n3. Substitute w = c + 10 to g, which gives g = c + 32.\n4. Substitute c = m + 19 to g, which gives g = m + 51.\n5. Substitute m = n + 2 to g, which gives g = n + 53.\n6. Substitute n = 10 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 25454,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 1; m = n + 2; p = i + 3; g = t + 10; z = q + 12; w = c + 10; a = d + 20; h = w + 11; i = n + 3; c = m + 19; d = p + 6; n = 10; q = a + 14. If n = 10, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 19", "t": "d + 7", "l": "t + 11", "f": "l + 2", "q": "f + 10", "o": "q + 11", "k": "g + 5", "h": "k + 17", "y": "h + 17", "i": "y + 17", "r": "i + 15", "n": "r + 2", "g": 9}, "premises": {"g": 9}, "target": "o"}, "answer": {"steps": [["q", "f + 10", "f + 21"], ["f", "l + 2", "l + 23"], ["l", "t + 11", "t + 34"], ["t", "d + 7", "d + 41"], ["d", "g + 19", "g + 60"], ["g", 9, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"g": 9}, "is_reverse": true}}
| 25,455
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 7; h = k + 17; n = r + 2; o = q + 11; q = f + 10; d = g + 19; i = y + 17; l = t + 11; f = l + 2; g = 9; y = h + 17; r = i + 15; k = g + 5. If g = 9, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 10 to o, which gives o = f + 21.\n2. Substitute f = l + 2 to o, which gives o = l + 23.\n3. Substitute l = t + 11 to o, which gives o = t + 34.\n4. Substitute t = d + 7 to o, which gives o = d + 41.\n5. Substitute d = g + 19 to o, which gives o = g + 60.\n6. Substitute g = 9 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 25455,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 7; h = k + 17; n = r + 2; o = q + 11; q = f + 10; d = g + 19; i = y + 17; l = t + 11; f = l + 2; g = 9; y = h + 17; r = i + 15; k = g + 5. If g = 9, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 3", "a": "m + 19", "q": "a + 2", "s": "q + 9", "c": "s + 9", "x": "c + 12", "d": "f + 4", "y": "d + 20", "b": "y + 10", "u": "b + 12", "w": "u + 5", "e": "w + 11", "f": 3}, "premises": {"f": 3}, "target": "x"}, "answer": {"steps": [["c", "s + 9", "s + 21"], ["s", "q + 9", "q + 30"], ["q", "a + 2", "a + 32"], ["a", "m + 19", "m + 51"], ["m", "f + 3", "f + 54"], ["f", 3, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"f": 3}, "is_reverse": true}}
| 25,456
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 5; c = s + 9; f = 3; d = f + 4; s = q + 9; m = f + 3; q = a + 2; x = c + 12; b = y + 10; u = b + 12; e = w + 11; y = d + 20; a = m + 19. If f = 3, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 9 to x, which gives x = s + 21.\n2. Substitute s = q + 9 to x, which gives x = q + 30.\n3. Substitute q = a + 2 to x, which gives x = a + 32.\n4. Substitute a = m + 19 to x, which gives x = m + 51.\n5. Substitute m = f + 3 to x, which gives x = f + 54.\n6. Substitute f = 3 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 25456,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 5; c = s + 9; f = 3; d = f + 4; s = q + 9; m = f + 3; q = a + 2; x = c + 12; b = y + 10; u = b + 12; e = w + 11; y = d + 20; a = m + 19. If f = 3, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 12", "d": "m + 18", "l": "d + 16", "o": "l + 17", "t": "o + 1", "g": "t + 5", "q": "u + 14", "x": "q + 10", "v": "x + 9", "i": "v + 20", "b": "i + 3", "y": "b + 17", "u": 17}, "premises": {"u": 17}, "target": "g"}, "answer": {"steps": [["t", "o + 1", "o + 6"], ["o", "l + 17", "l + 23"], ["l", "d + 16", "d + 39"], ["d", "m + 18", "m + 57"], ["m", "u + 12", "u + 69"], ["u", 17, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"u": 17}, "is_reverse": true}}
| 25,457
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 14; x = q + 10; t = o + 1; m = u + 12; y = b + 17; l = d + 16; u = 17; v = x + 9; g = t + 5; i = v + 20; o = l + 17; d = m + 18; b = i + 3. Given that u = 17, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 1 to g, which gives g = o + 6.\n2. Substitute o = l + 17 to g, which gives g = l + 23.\n3. Substitute l = d + 16 to g, which gives g = d + 39.\n4. Substitute d = m + 18 to g, which gives g = m + 57.\n5. Substitute m = u + 12 to g, which gives g = u + 69.\n6. Substitute u = 17 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 25457,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 14; x = q + 10; t = o + 1; m = u + 12; y = b + 17; l = d + 16; u = 17; v = x + 9; g = t + 5; i = v + 20; o = l + 17; d = m + 18; b = i + 3. Given that u = 17, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 1", "z": "k + 16", "f": "z + 12", "h": "f + 8", "j": "h + 8", "u": "j + 15", "d": "r + 2", "m": "d + 20", "t": "m + 17", "c": "t + 13", "i": "c + 14", "n": "i + 3", "r": 12}, "premises": {"r": 12}, "target": "u"}, "answer": {"steps": [["j", "h + 8", "h + 23"], ["h", "f + 8", "f + 31"], ["f", "z + 12", "z + 43"], ["z", "k + 16", "k + 59"], ["k", "r + 1", "r + 60"], ["r", 12, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"r": 12}, "is_reverse": true}}
| 25,458
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 14; j = h + 8; u = j + 15; d = r + 2; c = t + 13; z = k + 16; n = i + 3; m = d + 20; f = z + 12; t = m + 17; r = 12; k = r + 1; h = f + 8. Given that r = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 8 to u, which gives u = h + 23.\n2. Substitute h = f + 8 to u, which gives u = f + 31.\n3. Substitute f = z + 12 to u, which gives u = z + 43.\n4. Substitute z = k + 16 to u, which gives u = k + 59.\n5. Substitute k = r + 1 to u, which gives u = r + 60.\n6. Substitute r = 12 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 25458,
"question": "Suppose a collection of variables is related by the following definitions: i = c + 14; j = h + 8; u = j + 15; d = r + 2; c = t + 13; z = k + 16; n = i + 3; m = d + 20; f = z + 12; t = m + 17; r = 12; k = r + 1; h = f + 8. Given that r = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 2", "x": "i + 2", "y": "x + 5", "c": "y + 4", "f": "c + 5", "a": "f + 20", "d": "s + 11", "t": "d + 2", "b": "t + 19", "k": "b + 20", "q": "k + 17", "w": "q + 7", "s": 10}, "premises": {"s": 10}, "target": "a"}, "answer": {"steps": [["f", "c + 5", "c + 25"], ["c", "y + 4", "y + 29"], ["y", "x + 5", "x + 34"], ["x", "i + 2", "i + 36"], ["i", "s + 2", "s + 38"], ["s", 10, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"s": 10}, "is_reverse": true}}
| 25,459
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 5; f = c + 5; a = f + 20; w = q + 7; t = d + 2; x = i + 2; i = s + 2; b = t + 19; k = b + 20; s = 10; c = y + 4; d = s + 11; q = k + 17. If s = 10, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 5 to a, which gives a = c + 25.\n2. Substitute c = y + 4 to a, which gives a = y + 29.\n3. Substitute y = x + 5 to a, which gives a = x + 34.\n4. Substitute x = i + 2 to a, which gives a = i + 36.\n5. Substitute i = s + 2 to a, which gives a = s + 38.\n6. Substitute s = 10 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 25459,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 5; f = c + 5; a = f + 20; w = q + 7; t = d + 2; x = i + 2; i = s + 2; b = t + 19; k = b + 20; s = 10; c = y + 4; d = s + 11; q = k + 17. If s = 10, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 7", "y": "c + 3", "q": "y + 9", "f": "q + 15", "h": "f + 18", "o": "h + 3", "j": "v + 3", "l": "j + 5", "m": "l + 16", "b": "m + 9", "w": "b + 10", "z": "w + 18", "v": 3}, "premises": {"v": 3}, "target": "o"}, "answer": {"steps": [["h", "f + 18", "f + 21"], ["f", "q + 15", "q + 36"], ["q", "y + 9", "y + 45"], ["y", "c + 3", "c + 48"], ["c", "v + 7", "v + 55"], ["v", 3, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"v": 3}, "is_reverse": true}}
| 25,460
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 10; l = j + 5; c = v + 7; b = m + 9; v = 3; q = y + 9; y = c + 3; m = l + 16; f = q + 15; j = v + 3; h = f + 18; z = w + 18; o = h + 3. If v = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 18 to o, which gives o = f + 21.\n2. Substitute f = q + 15 to o, which gives o = q + 36.\n3. Substitute q = y + 9 to o, which gives o = y + 45.\n4. Substitute y = c + 3 to o, which gives o = c + 48.\n5. Substitute c = v + 7 to o, which gives o = v + 55.\n6. Substitute v = 3 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 25460,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 10; l = j + 5; c = v + 7; b = m + 9; v = 3; q = y + 9; y = c + 3; m = l + 16; f = q + 15; j = v + 3; h = f + 18; z = w + 18; o = h + 3. If v = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 15", "j": "g + 3", "y": "j + 2", "u": "y + 2", "e": "u + 4", "l": "e + 12", "f": "s + 6", "k": "f + 15", "h": "k + 4", "c": "h + 20", "d": "c + 3", "p": "d + 16", "s": 18}, "premises": {"s": 18}, "target": "l"}, "answer": {"steps": [["e", "u + 4", "u + 16"], ["u", "y + 2", "y + 18"], ["y", "j + 2", "j + 20"], ["j", "g + 3", "g + 23"], ["g", "s + 15", "s + 38"], ["s", 18, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"s": 18}, "is_reverse": true}}
| 25,461
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 12; e = u + 4; k = f + 15; f = s + 6; p = d + 16; u = y + 2; s = 18; j = g + 3; d = c + 3; c = h + 20; h = k + 4; y = j + 2; g = s + 15. Given that s = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 4 to l, which gives l = u + 16.\n2. Substitute u = y + 2 to l, which gives l = y + 18.\n3. Substitute y = j + 2 to l, which gives l = j + 20.\n4. Substitute j = g + 3 to l, which gives l = g + 23.\n5. Substitute g = s + 15 to l, which gives l = s + 38.\n6. Substitute s = 18 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 25461,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 12; e = u + 4; k = f + 15; f = s + 6; p = d + 16; u = y + 2; s = 18; j = g + 3; d = c + 3; c = h + 20; h = k + 4; y = j + 2; g = s + 15. Given that s = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 1", "c": "e + 2", "h": "c + 14", "x": "h + 12", "g": "x + 3", "a": "g + 11", "r": "n + 1", "m": "r + 16", "j": "m + 20", "w": "j + 11", "s": "w + 19", "b": "s + 10", "n": 8}, "premises": {"n": 8}, "target": "a"}, "answer": {"steps": [["g", "x + 3", "x + 14"], ["x", "h + 12", "h + 26"], ["h", "c + 14", "c + 40"], ["c", "e + 2", "e + 42"], ["e", "n + 1", "n + 43"], ["n", 8, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"n": 8}, "is_reverse": true}}
| 25,462
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = j + 11; m = r + 16; j = m + 20; g = x + 3; a = g + 11; n = 8; s = w + 19; e = n + 1; h = c + 14; x = h + 12; r = n + 1; c = e + 2; b = s + 10. If n = 8, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 3 to a, which gives a = x + 14.\n2. Substitute x = h + 12 to a, which gives a = h + 26.\n3. Substitute h = c + 14 to a, which gives a = c + 40.\n4. Substitute c = e + 2 to a, which gives a = e + 42.\n5. Substitute e = n + 1 to a, which gives a = n + 43.\n6. Substitute n = 8 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 25462,
"question": "Consider a system of variables where each variable is defined as follows: w = j + 11; m = r + 16; j = m + 20; g = x + 3; a = g + 11; n = 8; s = w + 19; e = n + 1; h = c + 14; x = h + 12; r = n + 1; c = e + 2; b = s + 10. If n = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 17", "b": "c + 4", "z": "b + 15", "n": "z + 16", "y": "n + 7", "p": "y + 3", "s": "q + 7", "o": "s + 16", "t": "o + 3", "r": "t + 13", "a": "r + 13", "m": "a + 12", "q": 7}, "premises": {"q": 7}, "target": "p"}, "answer": {"steps": [["y", "n + 7", "n + 10"], ["n", "z + 16", "z + 26"], ["z", "b + 15", "b + 41"], ["b", "c + 4", "c + 45"], ["c", "q + 17", "q + 62"], ["q", 7, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"q": 7}, "is_reverse": true}}
| 25,463
| 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 = q + 17; s = q + 7; r = t + 13; n = z + 16; y = n + 7; q = 7; b = c + 4; t = o + 3; o = s + 16; m = a + 12; a = r + 13; z = b + 15; p = y + 3. If q = 7, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 7 to p, which gives p = n + 10.\n2. Substitute n = z + 16 to p, which gives p = z + 26.\n3. Substitute z = b + 15 to p, which gives p = b + 41.\n4. Substitute b = c + 4 to p, which gives p = c + 45.\n5. Substitute c = q + 17 to p, which gives p = q + 62.\n6. Substitute q = 7 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 25463,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 17; s = q + 7; r = t + 13; n = z + 16; y = n + 7; q = 7; b = c + 4; t = o + 3; o = s + 16; m = a + 12; a = r + 13; z = b + 15; p = y + 3. If q = 7, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 1", "p": "n + 15", "t": "p + 11", "k": "t + 10", "s": "k + 20", "i": "s + 13", "r": "x + 14", "q": "r + 7", "d": "q + 13", "o": "d + 13", "e": "o + 7", "c": "e + 10", "x": 14}, "premises": {"x": 14}, "target": "i"}, "answer": {"steps": [["s", "k + 20", "k + 33"], ["k", "t + 10", "t + 43"], ["t", "p + 11", "p + 54"], ["p", "n + 15", "n + 69"], ["n", "x + 1", "x + 70"], ["x", 14, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"x": 14}, "is_reverse": true}}
| 25,464
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 13; o = d + 13; t = p + 11; e = o + 7; x = 14; s = k + 20; k = t + 10; n = x + 1; i = s + 13; q = r + 7; r = x + 14; p = n + 15; c = e + 10. Given that x = 14, find 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 s = k + 20 to i, which gives i = k + 33.\n2. Substitute k = t + 10 to i, which gives i = t + 43.\n3. Substitute t = p + 11 to i, which gives i = p + 54.\n4. Substitute p = n + 15 to i, which gives i = n + 69.\n5. Substitute n = x + 1 to i, which gives i = x + 70.\n6. Substitute x = 14 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 25464,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 13; o = d + 13; t = p + 11; e = o + 7; x = 14; s = k + 20; k = t + 10; n = x + 1; i = s + 13; q = r + 7; r = x + 14; p = n + 15; c = e + 10. Given that x = 14, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 9", "u": "b + 17", "t": "u + 18", "x": "t + 17", "k": "x + 15", "j": "k + 1", "s": "g + 19", "p": "s + 18", "m": "p + 6", "q": "m + 6", "z": "q + 16", "i": "z + 7", "g": 11}, "premises": {"g": 11}, "target": "j"}, "answer": {"steps": [["k", "x + 15", "x + 16"], ["x", "t + 17", "t + 33"], ["t", "u + 18", "u + 51"], ["u", "b + 17", "b + 68"], ["b", "g + 9", "g + 77"], ["g", 11, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"g": 11}, "is_reverse": true}}
| 25,465
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = g + 19; z = q + 16; b = g + 9; u = b + 17; t = u + 18; p = s + 18; q = m + 6; g = 11; k = x + 15; j = k + 1; m = p + 6; i = z + 7; x = t + 17. Given that g = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 15 to j, which gives j = x + 16.\n2. Substitute x = t + 17 to j, which gives j = t + 33.\n3. Substitute t = u + 18 to j, which gives j = u + 51.\n4. Substitute u = b + 17 to j, which gives j = b + 68.\n5. Substitute b = g + 9 to j, which gives j = g + 77.\n6. Substitute g = 11 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 25465,
"question": "Suppose a collection of variables is related by the following definitions: s = g + 19; z = q + 16; b = g + 9; u = b + 17; t = u + 18; p = s + 18; q = m + 6; g = 11; k = x + 15; j = k + 1; m = p + 6; i = z + 7; x = t + 17. Given that g = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 13", "s": "y + 4", "k": "s + 4", "q": "k + 7", "l": "q + 4", "i": "l + 20", "j": "x + 19", "f": "j + 10", "r": "f + 13", "b": "r + 18", "n": "b + 16", "v": "n + 7", "x": 5}, "premises": {"x": 5}, "target": "i"}, "answer": {"steps": [["l", "q + 4", "q + 24"], ["q", "k + 7", "k + 31"], ["k", "s + 4", "s + 35"], ["s", "y + 4", "y + 39"], ["y", "x + 13", "x + 52"], ["x", 5, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"x": 5}, "is_reverse": true}}
| 25,466
| 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 + 16; b = r + 18; v = n + 7; i = l + 20; q = k + 7; k = s + 4; s = y + 4; l = q + 4; j = x + 19; x = 5; f = j + 10; r = f + 13; y = x + 13. If x = 5, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 4 to i, which gives i = q + 24.\n2. Substitute q = k + 7 to i, which gives i = k + 31.\n3. Substitute k = s + 4 to i, which gives i = s + 35.\n4. Substitute s = y + 4 to i, which gives i = y + 39.\n5. Substitute y = x + 13 to i, which gives i = x + 52.\n6. Substitute x = 5 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 25466,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 16; b = r + 18; v = n + 7; i = l + 20; q = k + 7; k = s + 4; s = y + 4; l = q + 4; j = x + 19; x = 5; f = j + 10; r = f + 13; y = x + 13. If x = 5, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 10", "s": "a + 9", "y": "s + 14", "g": "y + 5", "j": "g + 18", "o": "j + 12", "z": "f + 5", "t": "z + 6", "i": "t + 1", "v": "i + 14", "n": "v + 11", "w": "n + 4", "f": 15}, "premises": {"f": 15}, "target": "o"}, "answer": {"steps": [["j", "g + 18", "g + 30"], ["g", "y + 5", "y + 35"], ["y", "s + 14", "s + 49"], ["s", "a + 9", "a + 58"], ["a", "f + 10", "f + 68"], ["f", 15, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"f": 15}, "is_reverse": true}}
| 25,467
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 1; t = z + 6; z = f + 5; v = i + 14; n = v + 11; y = s + 14; o = j + 12; j = g + 18; a = f + 10; w = n + 4; g = y + 5; f = 15; s = a + 9. If f = 15, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 18 to o, which gives o = g + 30.\n2. Substitute g = y + 5 to o, which gives o = y + 35.\n3. Substitute y = s + 14 to o, which gives o = s + 49.\n4. Substitute s = a + 9 to o, which gives o = a + 58.\n5. Substitute a = f + 10 to o, which gives o = f + 68.\n6. Substitute f = 15 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 25467,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 1; t = z + 6; z = f + 5; v = i + 14; n = v + 11; y = s + 14; o = j + 12; j = g + 18; a = f + 10; w = n + 4; g = y + 5; f = 15; s = a + 9. If f = 15, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"e": "o + 19", "c": "e + 4", "h": "c + 4", "n": "h + 18", "k": "n + 14", "b": "k + 16", "p": "o + 19", "a": "p + 4", "l": "a + 13", "x": "l + 1", "q": "x + 3", "m": "q + 9", "o": 15}, "premises": {"o": 15}, "target": "b"}, "answer": {"steps": [["k", "n + 14", "n + 30"], ["n", "h + 18", "h + 48"], ["h", "c + 4", "c + 52"], ["c", "e + 4", "e + 56"], ["e", "o + 19", "o + 75"], ["o", 15, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"o": 15}, "is_reverse": true}}
| 25,468
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 19; m = q + 9; a = p + 4; c = e + 4; p = o + 19; h = c + 4; l = a + 13; b = k + 16; n = h + 18; k = n + 14; o = 15; q = x + 3; x = l + 1. If o = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 14 to b, which gives b = n + 30.\n2. Substitute n = h + 18 to b, which gives b = h + 48.\n3. Substitute h = c + 4 to b, which gives b = c + 52.\n4. Substitute c = e + 4 to b, which gives b = e + 56.\n5. Substitute e = o + 19 to b, which gives b = o + 75.\n6. Substitute o = 15 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 25468,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 19; m = q + 9; a = p + 4; c = e + 4; p = o + 19; h = c + 4; l = a + 13; b = k + 16; n = h + 18; k = n + 14; o = 15; q = x + 3; x = l + 1. If o = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 2", "b": "m + 12", "n": "b + 15", "v": "n + 15", "p": "v + 19", "t": "p + 8", "y": "k + 4", "i": "y + 17", "d": "i + 14", "g": "d + 19", "j": "g + 16", "s": "j + 5", "k": 19}, "premises": {"k": 19}, "target": "t"}, "answer": {"steps": [["p", "v + 19", "v + 27"], ["v", "n + 15", "n + 42"], ["n", "b + 15", "b + 57"], ["b", "m + 12", "m + 69"], ["m", "k + 2", "k + 71"], ["k", 19, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"k": 19}, "is_reverse": true}}
| 25,469
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 2; p = v + 19; y = k + 4; t = p + 8; g = d + 19; v = n + 15; s = j + 5; i = y + 17; b = m + 12; j = g + 16; d = i + 14; k = 19; n = b + 15. Given that k = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 19 to t, which gives t = v + 27.\n2. Substitute v = n + 15 to t, which gives t = n + 42.\n3. Substitute n = b + 15 to t, which gives t = b + 57.\n4. Substitute b = m + 12 to t, which gives t = m + 69.\n5. Substitute m = k + 2 to t, which gives t = k + 71.\n6. Substitute k = 19 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 25469,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 2; p = v + 19; y = k + 4; t = p + 8; g = d + 19; v = n + 15; s = j + 5; i = y + 17; b = m + 12; j = g + 16; d = i + 14; k = 19; n = b + 15. Given that k = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 16", "o": "u + 15", "d": "o + 19", "e": "d + 8", "f": "e + 20", "m": "f + 14", "z": "v + 18", "b": "z + 17", "l": "b + 2", "r": "l + 5", "j": "r + 7", "h": "j + 18", "v": 3}, "premises": {"v": 3}, "target": "m"}, "answer": {"steps": [["f", "e + 20", "e + 34"], ["e", "d + 8", "d + 42"], ["d", "o + 19", "o + 61"], ["o", "u + 15", "u + 76"], ["u", "v + 16", "v + 92"], ["v", 3, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"v": 3}, "is_reverse": true}}
| 25,470
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 5; z = v + 18; m = f + 14; h = j + 18; e = d + 8; l = b + 2; o = u + 15; u = v + 16; b = z + 17; v = 3; j = r + 7; f = e + 20; d = o + 19. Given that v = 3, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 20 to m, which gives m = e + 34.\n2. Substitute e = d + 8 to m, which gives m = d + 42.\n3. Substitute d = o + 19 to m, which gives m = o + 61.\n4. Substitute o = u + 15 to m, which gives m = u + 76.\n5. Substitute u = v + 16 to m, which gives m = v + 92.\n6. Substitute v = 3 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 25470,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 5; z = v + 18; m = f + 14; h = j + 18; e = d + 8; l = b + 2; o = u + 15; u = v + 16; b = z + 17; v = 3; j = r + 7; f = e + 20; d = o + 19. Given that v = 3, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"z": "k + 17", "j": "z + 10", "l": "j + 8", "u": "l + 8", "t": "u + 7", "f": "t + 2", "o": "k + 4", "p": "o + 14", "e": "p + 1", "x": "e + 9", "d": "x + 3", "s": "d + 8", "k": 17}, "premises": {"k": 17}, "target": "f"}, "answer": {"steps": [["t", "u + 7", "u + 9"], ["u", "l + 8", "l + 17"], ["l", "j + 8", "j + 25"], ["j", "z + 10", "z + 35"], ["z", "k + 17", "k + 52"], ["k", 17, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"k": 17}, "is_reverse": true}}
| 25,471
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 2; o = k + 4; e = p + 1; s = d + 8; x = e + 9; t = u + 7; k = 17; j = z + 10; p = o + 14; l = j + 8; u = l + 8; z = k + 17; d = x + 3. Given that k = 17, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 7 to f, which gives f = u + 9.\n2. Substitute u = l + 8 to f, which gives f = l + 17.\n3. Substitute l = j + 8 to f, which gives f = j + 25.\n4. Substitute j = z + 10 to f, which gives f = z + 35.\n5. Substitute z = k + 17 to f, which gives f = k + 52.\n6. Substitute k = 17 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 25471,
"question": "Suppose a collection of variables is related by the following definitions: f = t + 2; o = k + 4; e = p + 1; s = d + 8; x = e + 9; t = u + 7; k = 17; j = z + 10; p = o + 14; l = j + 8; u = l + 8; z = k + 17; d = x + 3. Given that k = 17, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 15", "r": "i + 3", "f": "r + 8", "w": "f + 16", "y": "w + 12", "k": "y + 18", "o": "p + 9", "v": "o + 5", "u": "v + 8", "g": "u + 17", "a": "g + 14", "d": "a + 5", "p": 9}, "premises": {"p": 9}, "target": "k"}, "answer": {"steps": [["y", "w + 12", "w + 30"], ["w", "f + 16", "f + 46"], ["f", "r + 8", "r + 54"], ["r", "i + 3", "i + 57"], ["i", "p + 15", "p + 72"], ["p", 9, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"p": 9}, "is_reverse": true}}
| 25,472
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 12; a = g + 14; o = p + 9; v = o + 5; f = r + 8; g = u + 17; r = i + 3; p = 9; k = y + 18; u = v + 8; w = f + 16; i = p + 15; d = a + 5. Given that p = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 12 to k, which gives k = w + 30.\n2. Substitute w = f + 16 to k, which gives k = f + 46.\n3. Substitute f = r + 8 to k, which gives k = r + 54.\n4. Substitute r = i + 3 to k, which gives k = i + 57.\n5. Substitute i = p + 15 to k, which gives k = p + 72.\n6. Substitute p = 9 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 25472,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 12; a = g + 14; o = p + 9; v = o + 5; f = r + 8; g = u + 17; r = i + 3; p = 9; k = y + 18; u = v + 8; w = f + 16; i = p + 15; d = a + 5. Given that p = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 16", "k": "b + 17", "v": "k + 18", "j": "v + 3", "y": "j + 17", "m": "y + 5", "z": "l + 6", "e": "z + 13", "o": "e + 9", "h": "o + 8", "f": "h + 7", "t": "f + 18", "l": 15}, "premises": {"l": 15}, "target": "m"}, "answer": {"steps": [["y", "j + 17", "j + 22"], ["j", "v + 3", "v + 25"], ["v", "k + 18", "k + 43"], ["k", "b + 17", "b + 60"], ["b", "l + 16", "l + 76"], ["l", 15, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"l": 15}, "is_reverse": true}}
| 25,473
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = k + 18; z = l + 6; m = y + 5; o = e + 9; f = h + 7; y = j + 17; k = b + 17; h = o + 8; j = v + 3; t = f + 18; b = l + 16; e = z + 13; l = 15. If l = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 17 to m, which gives m = j + 22.\n2. Substitute j = v + 3 to m, which gives m = v + 25.\n3. Substitute v = k + 18 to m, which gives m = k + 43.\n4. Substitute k = b + 17 to m, which gives m = b + 60.\n5. Substitute b = l + 16 to m, which gives m = l + 76.\n6. Substitute l = 15 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 25473,
"question": "Consider a system of variables where each variable is defined as follows: v = k + 18; z = l + 6; m = y + 5; o = e + 9; f = h + 7; y = j + 17; k = b + 17; h = o + 8; j = v + 3; t = f + 18; b = l + 16; e = z + 13; l = 15. If l = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 3", "z": "q + 13", "o": "z + 8", "e": "o + 11", "v": "e + 5", "l": "v + 13", "c": "i + 9", "k": "c + 12", "g": "k + 8", "m": "g + 11", "u": "m + 2", "a": "u + 19", "i": 12}, "premises": {"i": 12}, "target": "l"}, "answer": {"steps": [["v", "e + 5", "e + 18"], ["e", "o + 11", "o + 29"], ["o", "z + 8", "z + 37"], ["z", "q + 13", "q + 50"], ["q", "i + 3", "i + 53"], ["i", 12, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"i": 12}, "is_reverse": true}}
| 25,474
| 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 = c + 12; q = i + 3; m = g + 11; c = i + 9; e = o + 11; v = e + 5; l = v + 13; g = k + 8; z = q + 13; i = 12; a = u + 19; u = m + 2; o = z + 8. If i = 12, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 5 to l, which gives l = e + 18.\n2. Substitute e = o + 11 to l, which gives l = o + 29.\n3. Substitute o = z + 8 to l, which gives l = z + 37.\n4. Substitute z = q + 13 to l, which gives l = q + 50.\n5. Substitute q = i + 3 to l, which gives l = i + 53.\n6. Substitute i = 12 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 25474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 12; q = i + 3; m = g + 11; c = i + 9; e = o + 11; v = e + 5; l = v + 13; g = k + 8; z = q + 13; i = 12; a = u + 19; u = m + 2; o = z + 8. If i = 12, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 15", "s": "o + 8", "a": "s + 5", "l": "a + 8", "k": "l + 10", "e": "k + 15", "d": "n + 4", "y": "d + 6", "m": "y + 10", "v": "m + 8", "g": "v + 15", "z": "g + 13", "n": 16}, "premises": {"n": 16}, "target": "e"}, "answer": {"steps": [["k", "l + 10", "l + 25"], ["l", "a + 8", "a + 33"], ["a", "s + 5", "s + 38"], ["s", "o + 8", "o + 46"], ["o", "n + 15", "n + 61"], ["n", 16, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"n": 16}, "is_reverse": true}}
| 25,475
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 13; k = l + 10; v = m + 8; d = n + 4; o = n + 15; e = k + 15; l = a + 8; g = v + 15; n = 16; s = o + 8; a = s + 5; y = d + 6; m = y + 10. Given that n = 16, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 10 to e, which gives e = l + 25.\n2. Substitute l = a + 8 to e, which gives e = a + 33.\n3. Substitute a = s + 5 to e, which gives e = s + 38.\n4. Substitute s = o + 8 to e, which gives e = o + 46.\n5. Substitute o = n + 15 to e, which gives e = n + 61.\n6. Substitute n = 16 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 25475,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 13; k = l + 10; v = m + 8; d = n + 4; o = n + 15; e = k + 15; l = a + 8; g = v + 15; n = 16; s = o + 8; a = s + 5; y = d + 6; m = y + 10. Given that n = 16, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 5", "x": "v + 14", "n": "x + 3", "z": "n + 10", "j": "z + 18", "b": "j + 19", "w": "d + 9", "g": "w + 20", "a": "g + 5", "o": "a + 4", "y": "o + 3", "f": "y + 1", "d": 12}, "premises": {"d": 12}, "target": "b"}, "answer": {"steps": [["j", "z + 18", "z + 37"], ["z", "n + 10", "n + 47"], ["n", "x + 3", "x + 50"], ["x", "v + 14", "v + 64"], ["v", "d + 5", "d + 69"], ["d", 12, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"d": 12}, "is_reverse": true}}
| 25,476
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 12; n = x + 3; v = d + 5; w = d + 9; a = g + 5; o = a + 4; z = n + 10; x = v + 14; b = j + 19; j = z + 18; g = w + 20; f = y + 1; y = o + 3. Given that d = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 18 to b, which gives b = z + 37.\n2. Substitute z = n + 10 to b, which gives b = n + 47.\n3. Substitute n = x + 3 to b, which gives b = x + 50.\n4. Substitute x = v + 14 to b, which gives b = v + 64.\n5. Substitute v = d + 5 to b, which gives b = d + 69.\n6. Substitute d = 12 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 25476,
"question": "Suppose a collection of variables is related by the following definitions: d = 12; n = x + 3; v = d + 5; w = d + 9; a = g + 5; o = a + 4; z = n + 10; x = v + 14; b = j + 19; j = z + 18; g = w + 20; f = y + 1; y = o + 3. Given that d = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 12", "o": "j + 4", "t": "o + 5", "v": "t + 11", "m": "v + 12", "y": "m + 5", "g": "z + 18", "e": "g + 3", "u": "e + 13", "x": "u + 14", "b": "x + 5", "k": "b + 18", "z": 8}, "premises": {"z": 8}, "target": "y"}, "answer": {"steps": [["m", "v + 12", "v + 17"], ["v", "t + 11", "t + 28"], ["t", "o + 5", "o + 33"], ["o", "j + 4", "j + 37"], ["j", "z + 12", "z + 49"], ["z", 8, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"z": 8}, "is_reverse": true}}
| 25,477
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 5; m = v + 12; b = x + 5; z = 8; o = j + 4; e = g + 3; u = e + 13; g = z + 18; k = b + 18; x = u + 14; v = t + 11; y = m + 5; j = z + 12. If z = 8, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 12 to y, which gives y = v + 17.\n2. Substitute v = t + 11 to y, which gives y = t + 28.\n3. Substitute t = o + 5 to y, which gives y = o + 33.\n4. Substitute o = j + 4 to y, which gives y = j + 37.\n5. Substitute j = z + 12 to y, which gives y = z + 49.\n6. Substitute z = 8 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 25477,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 5; m = v + 12; b = x + 5; z = 8; o = j + 4; e = g + 3; u = e + 13; g = z + 18; k = b + 18; x = u + 14; v = t + 11; y = m + 5; j = z + 12. If z = 8, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 10", "s": "q + 3", "k": "s + 1", "f": "k + 6", "x": "f + 4", "h": "x + 15", "w": "u + 17", "l": "w + 9", "i": "l + 16", "m": "i + 20", "g": "m + 2", "o": "g + 7", "u": 20}, "premises": {"u": 20}, "target": "h"}, "answer": {"steps": [["x", "f + 4", "f + 19"], ["f", "k + 6", "k + 25"], ["k", "s + 1", "s + 26"], ["s", "q + 3", "q + 29"], ["q", "u + 10", "u + 39"], ["u", 20, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"u": 20}, "is_reverse": true}}
| 25,478
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 16; g = m + 2; m = i + 20; l = w + 9; x = f + 4; w = u + 17; s = q + 3; h = x + 15; q = u + 10; f = k + 6; k = s + 1; u = 20; o = g + 7. If u = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 4 to h, which gives h = f + 19.\n2. Substitute f = k + 6 to h, which gives h = k + 25.\n3. Substitute k = s + 1 to h, which gives h = s + 26.\n4. Substitute s = q + 3 to h, which gives h = q + 29.\n5. Substitute q = u + 10 to h, which gives h = u + 39.\n6. Substitute u = 20 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 25478,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 16; g = m + 2; m = i + 20; l = w + 9; x = f + 4; w = u + 17; s = q + 3; h = x + 15; q = u + 10; f = k + 6; k = s + 1; u = 20; o = g + 7. If u = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 14", "r": "u + 14", "e": "r + 14", "b": "e + 14", "x": "b + 18", "j": "x + 16", "d": "z + 1", "f": "d + 7", "t": "f + 2", "q": "t + 4", "o": "q + 2", "a": "o + 9", "z": 10}, "premises": {"z": 10}, "target": "j"}, "answer": {"steps": [["x", "b + 18", "b + 34"], ["b", "e + 14", "e + 48"], ["e", "r + 14", "r + 62"], ["r", "u + 14", "u + 76"], ["u", "z + 14", "z + 90"], ["z", 10, "100"]], "target_var_name": "j", "target_value": 100, "value_dict": {"z": 10}, "is_reverse": true}}
| 25,479
| 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 + 16; d = z + 1; x = b + 18; z = 10; f = d + 7; e = r + 14; a = o + 9; b = e + 14; u = z + 14; t = f + 2; r = u + 14; q = t + 4; o = q + 2. If z = 10, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 18 to j, which gives j = b + 34.\n2. Substitute b = e + 14 to j, which gives j = e + 48.\n3. Substitute e = r + 14 to j, which gives j = r + 62.\n4. Substitute r = u + 14 to j, which gives j = u + 76.\n5. Substitute u = z + 14 to j, which gives j = z + 90.\n6. Substitute z = 10 to j, which gives j = 100.\n\nThus, the final answer is j = \\boxed{100}.",
"index": 25479,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 16; d = z + 1; x = b + 18; z = 10; f = d + 7; e = r + 14; a = o + 9; b = e + 14; u = z + 14; t = f + 2; r = u + 14; q = t + 4; o = q + 2. If z = 10, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 9", "m": "y + 10", "x": "m + 16", "w": "x + 20", "p": "w + 1", "t": "p + 20", "e": "o + 4", "a": "e + 11", "b": "a + 6", "q": "b + 2", "c": "q + 2", "l": "c + 12", "o": 18}, "premises": {"o": 18}, "target": "t"}, "answer": {"steps": [["p", "w + 1", "w + 21"], ["w", "x + 20", "x + 41"], ["x", "m + 16", "m + 57"], ["m", "y + 10", "y + 67"], ["y", "o + 9", "o + 76"], ["o", 18, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"o": 18}, "is_reverse": true}}
| 25,480
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 11; t = p + 20; l = c + 12; y = o + 9; p = w + 1; q = b + 2; c = q + 2; b = a + 6; e = o + 4; w = x + 20; m = y + 10; x = m + 16; o = 18. If o = 18, determine 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 p = w + 1 to t, which gives t = w + 21.\n2. Substitute w = x + 20 to t, which gives t = x + 41.\n3. Substitute x = m + 16 to t, which gives t = m + 57.\n4. Substitute m = y + 10 to t, which gives t = y + 67.\n5. Substitute y = o + 9 to t, which gives t = o + 76.\n6. Substitute o = 18 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 25480,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 11; t = p + 20; l = c + 12; y = o + 9; p = w + 1; q = b + 2; c = q + 2; b = a + 6; e = o + 4; w = x + 20; m = y + 10; x = m + 16; o = 18. If o = 18, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 7", "h": "g + 15", "b": "h + 18", "m": "b + 1", "z": "m + 11", "t": "z + 4", "r": "c + 3", "o": "r + 8", "j": "o + 7", "k": "j + 3", "u": "k + 13", "d": "u + 19", "c": 6}, "premises": {"c": 6}, "target": "t"}, "answer": {"steps": [["z", "m + 11", "m + 15"], ["m", "b + 1", "b + 16"], ["b", "h + 18", "h + 34"], ["h", "g + 15", "g + 49"], ["g", "c + 7", "c + 56"], ["c", 6, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"c": 6}, "is_reverse": true}}
| 25,481
| 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 + 4; o = r + 8; h = g + 15; z = m + 11; k = j + 3; c = 6; u = k + 13; m = b + 1; r = c + 3; g = c + 7; j = o + 7; d = u + 19; b = h + 18. If c = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 11 to t, which gives t = m + 15.\n2. Substitute m = b + 1 to t, which gives t = b + 16.\n3. Substitute b = h + 18 to t, which gives t = h + 34.\n4. Substitute h = g + 15 to t, which gives t = g + 49.\n5. Substitute g = c + 7 to t, which gives t = c + 56.\n6. Substitute c = 6 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 25481,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 4; o = r + 8; h = g + 15; z = m + 11; k = j + 3; c = 6; u = k + 13; m = b + 1; r = c + 3; g = c + 7; j = o + 7; d = u + 19; b = h + 18. If c = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"j": "i + 9", "o": "j + 6", "v": "o + 8", "c": "v + 4", "n": "c + 1", "p": "n + 8", "x": "i + 13", "r": "x + 8", "q": "r + 10", "a": "q + 12", "b": "a + 7", "f": "b + 15", "i": 14}, "premises": {"i": 14}, "target": "p"}, "answer": {"steps": [["n", "c + 1", "c + 9"], ["c", "v + 4", "v + 13"], ["v", "o + 8", "o + 21"], ["o", "j + 6", "j + 27"], ["j", "i + 9", "i + 36"], ["i", 14, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"i": 14}, "is_reverse": true}}
| 25,482
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 15; n = c + 1; i = 14; p = n + 8; q = r + 10; v = o + 8; a = q + 12; j = i + 9; c = v + 4; x = i + 13; o = j + 6; r = x + 8; b = a + 7. Given that i = 14, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 1 to p, which gives p = c + 9.\n2. Substitute c = v + 4 to p, which gives p = v + 13.\n3. Substitute v = o + 8 to p, which gives p = o + 21.\n4. Substitute o = j + 6 to p, which gives p = j + 27.\n5. Substitute j = i + 9 to p, which gives p = i + 36.\n6. Substitute i = 14 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 25482,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 15; n = c + 1; i = 14; p = n + 8; q = r + 10; v = o + 8; a = q + 12; j = i + 9; c = v + 4; x = i + 13; o = j + 6; r = x + 8; b = a + 7. Given that i = 14, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 20", "d": "i + 2", "u": "d + 14", "r": "u + 15", "o": "r + 8", "h": "o + 9", "s": "a + 10", "t": "s + 1", "e": "t + 1", "m": "e + 16", "b": "m + 11", "v": "b + 6", "a": 20}, "premises": {"a": 20}, "target": "h"}, "answer": {"steps": [["o", "r + 8", "r + 17"], ["r", "u + 15", "u + 32"], ["u", "d + 14", "d + 46"], ["d", "i + 2", "i + 48"], ["i", "a + 20", "a + 68"], ["a", 20, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"a": 20}, "is_reverse": true}}
| 25,483
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = a + 20; m = e + 16; s = a + 10; h = o + 9; a = 20; d = i + 2; b = m + 11; t = s + 1; o = r + 8; u = d + 14; e = t + 1; v = b + 6; r = u + 15. Given that a = 20, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 8 to h, which gives h = r + 17.\n2. Substitute r = u + 15 to h, which gives h = u + 32.\n3. Substitute u = d + 14 to h, which gives h = d + 46.\n4. Substitute d = i + 2 to h, which gives h = i + 48.\n5. Substitute i = a + 20 to h, which gives h = a + 68.\n6. Substitute a = 20 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 25483,
"question": "Suppose a collection of variables is related by the following definitions: i = a + 20; m = e + 16; s = a + 10; h = o + 9; a = 20; d = i + 2; b = m + 11; t = s + 1; o = r + 8; u = d + 14; e = t + 1; v = b + 6; r = u + 15. Given that a = 20, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 16", "u": "h + 1", "x": "u + 14", "p": "x + 10", "n": "p + 9", "k": "n + 8", "j": "q + 18", "t": "j + 20", "l": "t + 17", "s": "l + 19", "z": "s + 9", "w": "z + 2", "q": 11}, "premises": {"q": 11}, "target": "k"}, "answer": {"steps": [["n", "p + 9", "p + 17"], ["p", "x + 10", "x + 27"], ["x", "u + 14", "u + 41"], ["u", "h + 1", "h + 42"], ["h", "q + 16", "q + 58"], ["q", 11, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"q": 11}, "is_reverse": true}}
| 25,484
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 18; x = u + 14; z = s + 9; l = t + 17; h = q + 16; n = p + 9; w = z + 2; t = j + 20; u = h + 1; k = n + 8; s = l + 19; p = x + 10; q = 11. If q = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 9 to k, which gives k = p + 17.\n2. Substitute p = x + 10 to k, which gives k = x + 27.\n3. Substitute x = u + 14 to k, which gives k = u + 41.\n4. Substitute u = h + 1 to k, which gives k = h + 42.\n5. Substitute h = q + 16 to k, which gives k = q + 58.\n6. Substitute q = 11 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 25484,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 18; x = u + 14; z = s + 9; l = t + 17; h = q + 16; n = p + 9; w = z + 2; t = j + 20; u = h + 1; k = n + 8; s = l + 19; p = x + 10; q = 11. If q = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 13", "n": "u + 20", "i": "n + 12", "b": "i + 3", "q": "b + 4", "r": "q + 3", "s": "t + 9", "h": "s + 20", "e": "h + 6", "p": "e + 7", "o": "p + 20", "f": "o + 1", "t": 16}, "premises": {"t": 16}, "target": "r"}, "answer": {"steps": [["q", "b + 4", "b + 7"], ["b", "i + 3", "i + 10"], ["i", "n + 12", "n + 22"], ["n", "u + 20", "u + 42"], ["u", "t + 13", "t + 55"], ["t", 16, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"t": 16}, "is_reverse": true}}
| 25,485
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 12; u = t + 13; o = p + 20; s = t + 9; p = e + 7; e = h + 6; r = q + 3; h = s + 20; b = i + 3; f = o + 1; q = b + 4; n = u + 20; t = 16. If t = 16, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 4 to r, which gives r = b + 7.\n2. Substitute b = i + 3 to r, which gives r = i + 10.\n3. Substitute i = n + 12 to r, which gives r = n + 22.\n4. Substitute n = u + 20 to r, which gives r = u + 42.\n5. Substitute u = t + 13 to r, which gives r = t + 55.\n6. Substitute t = 16 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 25485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 12; u = t + 13; o = p + 20; s = t + 9; p = e + 7; e = h + 6; r = q + 3; h = s + 20; b = i + 3; f = o + 1; q = b + 4; n = u + 20; t = 16. If t = 16, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"m": "t + 19", "i": "m + 16", "j": "i + 3", "s": "j + 5", "c": "s + 13", "l": "c + 10", "y": "t + 14", "w": "y + 14", "k": "w + 18", "u": "k + 9", "n": "u + 5", "q": "n + 19", "t": 2}, "premises": {"t": 2}, "target": "l"}, "answer": {"steps": [["c", "s + 13", "s + 23"], ["s", "j + 5", "j + 28"], ["j", "i + 3", "i + 31"], ["i", "m + 16", "m + 47"], ["m", "t + 19", "t + 66"], ["t", 2, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"t": 2}, "is_reverse": true}}
| 25,486
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = k + 9; l = c + 10; m = t + 19; q = n + 19; i = m + 16; w = y + 14; c = s + 13; k = w + 18; s = j + 5; y = t + 14; n = u + 5; t = 2; j = i + 3. If t = 2, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 13 to l, which gives l = s + 23.\n2. Substitute s = j + 5 to l, which gives l = j + 28.\n3. Substitute j = i + 3 to l, which gives l = i + 31.\n4. Substitute i = m + 16 to l, which gives l = m + 47.\n5. Substitute m = t + 19 to l, which gives l = t + 66.\n6. Substitute t = 2 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 25486,
"question": "Consider a system of variables where each variable is defined as follows: u = k + 9; l = c + 10; m = t + 19; q = n + 19; i = m + 16; w = y + 14; c = s + 13; k = w + 18; s = j + 5; y = t + 14; n = u + 5; t = 2; j = i + 3. If t = 2, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 11", "x": "o + 8", "j": "x + 13", "u": "j + 18", "t": "u + 2", "v": "t + 7", "e": "s + 11", "y": "e + 14", "m": "y + 1", "g": "m + 8", "a": "g + 14", "p": "a + 5", "s": 11}, "premises": {"s": 11}, "target": "v"}, "answer": {"steps": [["t", "u + 2", "u + 9"], ["u", "j + 18", "j + 27"], ["j", "x + 13", "x + 40"], ["x", "o + 8", "o + 48"], ["o", "s + 11", "s + 59"], ["s", 11, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"s": 11}, "is_reverse": true}}
| 25,487
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 11; m = y + 1; t = u + 2; v = t + 7; p = a + 5; y = e + 14; g = m + 8; j = x + 13; o = s + 11; u = j + 18; s = 11; a = g + 14; x = o + 8. If s = 11, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 2 to v, which gives v = u + 9.\n2. Substitute u = j + 18 to v, which gives v = j + 27.\n3. Substitute j = x + 13 to v, which gives v = x + 40.\n4. Substitute x = o + 8 to v, which gives v = o + 48.\n5. Substitute o = s + 11 to v, which gives v = s + 59.\n6. Substitute s = 11 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 25487,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 11; m = y + 1; t = u + 2; v = t + 7; p = a + 5; y = e + 14; g = m + 8; j = x + 13; o = s + 11; u = j + 18; s = 11; a = g + 14; x = o + 8. If s = 11, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 7", "t": "d + 11", "h": "t + 13", "l": "h + 7", "i": "l + 12", "u": "i + 11", "f": "m + 14", "x": "f + 19", "q": "x + 4", "s": "q + 13", "e": "s + 4", "n": "e + 13", "m": 14}, "premises": {"m": 14}, "target": "u"}, "answer": {"steps": [["i", "l + 12", "l + 23"], ["l", "h + 7", "h + 30"], ["h", "t + 13", "t + 43"], ["t", "d + 11", "d + 54"], ["d", "m + 7", "m + 61"], ["m", 14, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"m": 14}, "is_reverse": true}}
| 25,488
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 11; f = m + 14; l = h + 7; n = e + 13; u = i + 11; d = m + 7; m = 14; i = l + 12; e = s + 4; s = q + 13; x = f + 19; q = x + 4; h = t + 13. If m = 14, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 12 to u, which gives u = l + 23.\n2. Substitute l = h + 7 to u, which gives u = h + 30.\n3. Substitute h = t + 13 to u, which gives u = t + 43.\n4. Substitute t = d + 11 to u, which gives u = d + 54.\n5. Substitute d = m + 7 to u, which gives u = m + 61.\n6. Substitute m = 14 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 25488,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 11; f = m + 14; l = h + 7; n = e + 13; u = i + 11; d = m + 7; m = 14; i = l + 12; e = s + 4; s = q + 13; x = f + 19; q = x + 4; h = t + 13. If m = 14, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 4", "e": "v + 14", "x": "e + 20", "u": "x + 4", "d": "u + 4", "b": "d + 6", "a": "j + 9", "i": "a + 8", "n": "i + 10", "m": "n + 1", "g": "m + 1", "p": "g + 17", "j": 2}, "premises": {"j": 2}, "target": "b"}, "answer": {"steps": [["d", "u + 4", "u + 10"], ["u", "x + 4", "x + 14"], ["x", "e + 20", "e + 34"], ["e", "v + 14", "v + 48"], ["v", "j + 4", "j + 52"], ["j", 2, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"j": 2}, "is_reverse": true}}
| 25,489
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = n + 1; e = v + 14; g = m + 1; p = g + 17; a = j + 9; u = x + 4; n = i + 10; v = j + 4; i = a + 8; j = 2; b = d + 6; x = e + 20; d = u + 4. If j = 2, determine the 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 d = u + 4 to b, which gives b = u + 10.\n2. Substitute u = x + 4 to b, which gives b = x + 14.\n3. Substitute x = e + 20 to b, which gives b = e + 34.\n4. Substitute e = v + 14 to b, which gives b = v + 48.\n5. Substitute v = j + 4 to b, which gives b = j + 52.\n6. Substitute j = 2 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 25489,
"question": "Consider a system of variables where each variable is defined as follows: m = n + 1; e = v + 14; g = m + 1; p = g + 17; a = j + 9; u = x + 4; n = i + 10; v = j + 4; i = a + 8; j = 2; b = d + 6; x = e + 20; d = u + 4. If j = 2, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 17", "g": "o + 10", "i": "g + 10", "d": "i + 10", "n": "d + 17", "m": "n + 1", "t": "u + 10", "v": "t + 15", "x": "v + 7", "e": "x + 16", "y": "e + 16", "c": "y + 5", "u": 15}, "premises": {"u": 15}, "target": "m"}, "answer": {"steps": [["n", "d + 17", "d + 18"], ["d", "i + 10", "i + 28"], ["i", "g + 10", "g + 38"], ["g", "o + 10", "o + 48"], ["o", "u + 17", "u + 65"], ["u", 15, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"u": 15}, "is_reverse": true}}
| 25,490
| 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 + 10; t = u + 10; e = x + 16; x = v + 7; m = n + 1; o = u + 17; n = d + 17; y = e + 16; v = t + 15; u = 15; d = i + 10; g = o + 10; c = y + 5. If u = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 17 to m, which gives m = d + 18.\n2. Substitute d = i + 10 to m, which gives m = i + 28.\n3. Substitute i = g + 10 to m, which gives m = g + 38.\n4. Substitute g = o + 10 to m, which gives m = o + 48.\n5. Substitute o = u + 17 to m, which gives m = u + 65.\n6. Substitute u = 15 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 25490,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 10; t = u + 10; e = x + 16; x = v + 7; m = n + 1; o = u + 17; n = d + 17; y = e + 16; v = t + 15; u = 15; d = i + 10; g = o + 10; c = y + 5. If u = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 17", "c": "q + 1", "n": "c + 15", "k": "n + 4", "j": "k + 20", "a": "j + 13", "m": "e + 9", "p": "m + 11", "t": "p + 17", "o": "t + 18", "h": "o + 20", "z": "h + 19", "e": 19}, "premises": {"e": 19}, "target": "a"}, "answer": {"steps": [["j", "k + 20", "k + 33"], ["k", "n + 4", "n + 37"], ["n", "c + 15", "c + 52"], ["c", "q + 1", "q + 53"], ["q", "e + 17", "e + 70"], ["e", 19, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"e": 19}, "is_reverse": true}}
| 25,491
| 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 + 19; o = t + 18; a = j + 13; k = n + 4; c = q + 1; n = c + 15; t = p + 17; p = m + 11; e = 19; j = k + 20; h = o + 20; m = e + 9; q = e + 17. If e = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 20 to a, which gives a = k + 33.\n2. Substitute k = n + 4 to a, which gives a = n + 37.\n3. Substitute n = c + 15 to a, which gives a = c + 52.\n4. Substitute c = q + 1 to a, which gives a = q + 53.\n5. Substitute q = e + 17 to a, which gives a = e + 70.\n6. Substitute e = 19 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 25491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 19; o = t + 18; a = j + 13; k = n + 4; c = q + 1; n = c + 15; t = p + 17; p = m + 11; e = 19; j = k + 20; h = o + 20; m = e + 9; q = e + 17. If e = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"v": "k + 10", "x": "v + 17", "h": "x + 18", "u": "h + 13", "e": "u + 18", "p": "e + 2", "n": "k + 8", "q": "n + 15", "w": "q + 8", "m": "w + 3", "o": "m + 5", "f": "o + 13", "k": 1}, "premises": {"k": 1}, "target": "p"}, "answer": {"steps": [["e", "u + 18", "u + 20"], ["u", "h + 13", "h + 33"], ["h", "x + 18", "x + 51"], ["x", "v + 17", "v + 68"], ["v", "k + 10", "k + 78"], ["k", 1, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"k": 1}, "is_reverse": true}}
| 25,492
| 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 = v + 17; u = h + 13; f = o + 13; v = k + 10; m = w + 3; h = x + 18; w = q + 8; e = u + 18; q = n + 15; n = k + 8; k = 1; p = e + 2; o = m + 5. If k = 1, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 18 to p, which gives p = u + 20.\n2. Substitute u = h + 13 to p, which gives p = h + 33.\n3. Substitute h = x + 18 to p, which gives p = x + 51.\n4. Substitute x = v + 17 to p, which gives p = v + 68.\n5. Substitute v = k + 10 to p, which gives p = k + 78.\n6. Substitute k = 1 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 25492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 17; u = h + 13; f = o + 13; v = k + 10; m = w + 3; h = x + 18; w = q + 8; e = u + 18; q = n + 15; n = k + 8; k = 1; p = e + 2; o = m + 5. If k = 1, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 3", "z": "f + 10", "w": "z + 9", "c": "w + 6", "h": "c + 11", "b": "h + 8", "r": "l + 10", "e": "r + 10", "n": "e + 1", "v": "n + 20", "t": "v + 6", "m": "t + 20", "l": 12}, "premises": {"l": 12}, "target": "b"}, "answer": {"steps": [["h", "c + 11", "c + 19"], ["c", "w + 6", "w + 25"], ["w", "z + 9", "z + 34"], ["z", "f + 10", "f + 44"], ["f", "l + 3", "l + 47"], ["l", 12, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"l": 12}, "is_reverse": true}}
| 25,493
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 3; b = h + 8; l = 12; n = e + 1; w = z + 9; z = f + 10; r = l + 10; m = t + 20; h = c + 11; e = r + 10; c = w + 6; v = n + 20; t = v + 6. Given that l = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 11 to b, which gives b = c + 19.\n2. Substitute c = w + 6 to b, which gives b = w + 25.\n3. Substitute w = z + 9 to b, which gives b = z + 34.\n4. Substitute z = f + 10 to b, which gives b = f + 44.\n5. Substitute f = l + 3 to b, which gives b = l + 47.\n6. Substitute l = 12 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 25493,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 3; b = h + 8; l = 12; n = e + 1; w = z + 9; z = f + 10; r = l + 10; m = t + 20; h = c + 11; e = r + 10; c = w + 6; v = n + 20; t = v + 6. Given that l = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 14", "f": "t + 17", "m": "f + 19", "v": "m + 1", "q": "v + 5", "a": "q + 2", "r": "x + 11", "i": "r + 19", "s": "i + 3", "j": "s + 20", "e": "j + 20", "d": "e + 18", "x": 17}, "premises": {"x": 17}, "target": "a"}, "answer": {"steps": [["q", "v + 5", "v + 7"], ["v", "m + 1", "m + 8"], ["m", "f + 19", "f + 27"], ["f", "t + 17", "t + 44"], ["t", "x + 14", "x + 58"], ["x", 17, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"x": 17}, "is_reverse": true}}
| 25,494
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 19; x = 17; d = e + 18; r = x + 11; s = i + 3; a = q + 2; q = v + 5; m = f + 19; e = j + 20; t = x + 14; f = t + 17; j = s + 20; v = m + 1. If x = 17, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 5 to a, which gives a = v + 7.\n2. Substitute v = m + 1 to a, which gives a = m + 8.\n3. Substitute m = f + 19 to a, which gives a = f + 27.\n4. Substitute f = t + 17 to a, which gives a = t + 44.\n5. Substitute t = x + 14 to a, which gives a = x + 58.\n6. Substitute x = 17 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 25494,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 19; x = 17; d = e + 18; r = x + 11; s = i + 3; a = q + 2; q = v + 5; m = f + 19; e = j + 20; t = x + 14; f = t + 17; j = s + 20; v = m + 1. If x = 17, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 7", "o": "d + 18", "v": "o + 6", "e": "v + 12", "x": "e + 7", "r": "x + 14", "t": "q + 16", "b": "t + 1", "w": "b + 16", "s": "w + 2", "f": "s + 6", "l": "f + 7", "q": 5}, "premises": {"q": 5}, "target": "r"}, "answer": {"steps": [["x", "e + 7", "e + 21"], ["e", "v + 12", "v + 33"], ["v", "o + 6", "o + 39"], ["o", "d + 18", "d + 57"], ["d", "q + 7", "q + 64"], ["q", 5, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"q": 5}, "is_reverse": true}}
| 25,495
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 2; w = b + 16; q = 5; x = e + 7; b = t + 1; l = f + 7; o = d + 18; e = v + 12; t = q + 16; r = x + 14; v = o + 6; f = s + 6; d = q + 7. If q = 5, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 7 to r, which gives r = e + 21.\n2. Substitute e = v + 12 to r, which gives r = v + 33.\n3. Substitute v = o + 6 to r, which gives r = o + 39.\n4. Substitute o = d + 18 to r, which gives r = d + 57.\n5. Substitute d = q + 7 to r, which gives r = q + 64.\n6. Substitute q = 5 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 25495,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 2; w = b + 16; q = 5; x = e + 7; b = t + 1; l = f + 7; o = d + 18; e = v + 12; t = q + 16; r = x + 14; v = o + 6; f = s + 6; d = q + 7. If q = 5, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 1", "o": "d + 20", "t": "o + 14", "i": "t + 17", "b": "i + 17", "r": "b + 18", "g": "k + 1", "p": "g + 6", "c": "p + 14", "n": "c + 17", "j": "n + 8", "s": "j + 9", "k": 4}, "premises": {"k": 4}, "target": "r"}, "answer": {"steps": [["b", "i + 17", "i + 35"], ["i", "t + 17", "t + 52"], ["t", "o + 14", "o + 66"], ["o", "d + 20", "d + 86"], ["d", "k + 1", "k + 87"], ["k", 4, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"k": 4}, "is_reverse": true}}
| 25,496
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 4; d = k + 1; p = g + 6; i = t + 17; j = n + 8; r = b + 18; o = d + 20; s = j + 9; t = o + 14; c = p + 14; n = c + 17; g = k + 1; b = i + 17. If k = 4, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 17 to r, which gives r = i + 35.\n2. Substitute i = t + 17 to r, which gives r = t + 52.\n3. Substitute t = o + 14 to r, which gives r = o + 66.\n4. Substitute o = d + 20 to r, which gives r = d + 86.\n5. Substitute d = k + 1 to r, which gives r = k + 87.\n6. Substitute k = 4 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 25496,
"question": "Consider a system of variables where each variable is defined as follows: k = 4; d = k + 1; p = g + 6; i = t + 17; j = n + 8; r = b + 18; o = d + 20; s = j + 9; t = o + 14; c = p + 14; n = c + 17; g = k + 1; b = i + 17. If k = 4, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 19", "m": "y + 11", "x": "m + 5", "q": "x + 19", "v": "q + 16", "s": "v + 11", "j": "i + 19", "l": "j + 13", "t": "l + 9", "n": "t + 10", "p": "n + 14", "r": "p + 1", "i": 5}, "premises": {"i": 5}, "target": "s"}, "answer": {"steps": [["v", "q + 16", "q + 27"], ["q", "x + 19", "x + 46"], ["x", "m + 5", "m + 51"], ["m", "y + 11", "y + 62"], ["y", "i + 19", "i + 81"], ["i", 5, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"i": 5}, "is_reverse": true}}
| 25,497
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 1; t = l + 9; p = n + 14; n = t + 10; s = v + 11; v = q + 16; q = x + 19; i = 5; x = m + 5; m = y + 11; y = i + 19; l = j + 13; j = i + 19. If i = 5, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 16 to s, which gives s = q + 27.\n2. Substitute q = x + 19 to s, which gives s = x + 46.\n3. Substitute x = m + 5 to s, which gives s = m + 51.\n4. Substitute m = y + 11 to s, which gives s = y + 62.\n5. Substitute y = i + 19 to s, which gives s = i + 81.\n6. Substitute i = 5 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 25497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 1; t = l + 9; p = n + 14; n = t + 10; s = v + 11; v = q + 16; q = x + 19; i = 5; x = m + 5; m = y + 11; y = i + 19; l = j + 13; j = i + 19. If i = 5, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 13", "g": "h + 17", "s": "g + 13", "o": "s + 20", "j": "o + 2", "p": "j + 19", "y": "q + 3", "b": "y + 11", "d": "b + 20", "v": "d + 1", "f": "v + 9", "r": "f + 4", "q": 10}, "premises": {"q": 10}, "target": "p"}, "answer": {"steps": [["j", "o + 2", "o + 21"], ["o", "s + 20", "s + 41"], ["s", "g + 13", "g + 54"], ["g", "h + 17", "h + 71"], ["h", "q + 13", "q + 84"], ["q", 10, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"q": 10}, "is_reverse": true}}
| 25,498
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 1; p = j + 19; h = q + 13; b = y + 11; d = b + 20; f = v + 9; y = q + 3; r = f + 4; s = g + 13; g = h + 17; q = 10; j = o + 2; o = s + 20. Given that q = 10, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 2 to p, which gives p = o + 21.\n2. Substitute o = s + 20 to p, which gives p = s + 41.\n3. Substitute s = g + 13 to p, which gives p = g + 54.\n4. Substitute g = h + 17 to p, which gives p = h + 71.\n5. Substitute h = q + 13 to p, which gives p = q + 84.\n6. Substitute q = 10 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 25498,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 1; p = j + 19; h = q + 13; b = y + 11; d = b + 20; f = v + 9; y = q + 3; r = f + 4; s = g + 13; g = h + 17; q = 10; j = o + 2; o = s + 20. Given that q = 10, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 4", "w": "d + 17", "c": "w + 16", "a": "c + 10", "b": "a + 6", "z": "b + 19", "p": "q + 12", "x": "p + 13", "n": "x + 10", "v": "n + 9", "t": "v + 19", "r": "t + 8", "q": 11}, "premises": {"q": 11}, "target": "z"}, "answer": {"steps": [["b", "a + 6", "a + 25"], ["a", "c + 10", "c + 35"], ["c", "w + 16", "w + 51"], ["w", "d + 17", "d + 68"], ["d", "q + 4", "q + 72"], ["q", 11, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"q": 11}, "is_reverse": true}}
| 25,499
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = 11; z = b + 19; p = q + 12; a = c + 10; d = q + 4; t = v + 19; c = w + 16; v = n + 9; b = a + 6; n = x + 10; x = p + 13; w = d + 17; r = t + 8. If q = 11, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 6 to z, which gives z = a + 25.\n2. Substitute a = c + 10 to z, which gives z = c + 35.\n3. Substitute c = w + 16 to z, which gives z = w + 51.\n4. Substitute w = d + 17 to z, which gives z = d + 68.\n5. Substitute d = q + 4 to z, which gives z = q + 72.\n6. Substitute q = 11 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 25499,
"question": "Consider a system of variables where each variable is defined as follows: q = 11; z = b + 19; p = q + 12; a = c + 10; d = q + 4; t = v + 19; c = w + 16; v = n + 9; b = a + 6; n = x + 10; x = p + 13; w = d + 17; r = t + 8. If q = 11, determine the value of z.",
"split": "train"
}
|
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