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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": {"e": "r + 5", "f": "e + 13", "w": "f + 16", "i": "w + 20", "y": "i + 3", "q": "y + 12", "k": "r + 3", "h": "k + 3", "v": "h + 13", "z": "v + 11", "g": "z + 16", "d": "g + 5", "r": 9}, "premises": {"r": 9}, "target": "q"}, "answer": {"steps": [["y", "i + 3", "i + 15"], ["i", "w + 20", "w + 35"], ["w", "f + 16", "f + 51"], ["f", "e + 13", "e + 64"], ["e", "r + 5", "r + 69"], ["r", 9, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"r": 9}, "is_reverse": true}}
| 300
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 16; i = w + 20; e = r + 5; v = h + 13; y = i + 3; r = 9; z = v + 11; q = y + 12; k = r + 3; f = e + 13; d = g + 5; w = f + 16; h = k + 3. Given that r = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 3 to q, which gives q = i + 15.\n2. Substitute i = w + 20 to q, which gives q = w + 35.\n3. Substitute w = f + 16 to q, which gives q = f + 51.\n4. Substitute f = e + 13 to q, which gives q = e + 64.\n5. Substitute e = r + 5 to q, which gives q = r + 69.\n6. Substitute r = 9 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 300,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 16; i = w + 20; e = r + 5; v = h + 13; y = i + 3; r = 9; z = v + 11; q = y + 12; k = r + 3; f = e + 13; d = g + 5; w = f + 16; h = k + 3. Given that r = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 6", "g": "r + 3", "t": "g + 10", "m": "t + 11", "z": "m + 13", "d": "z + 8", "c": "o + 16", "b": "c + 6", "l": "b + 10", "h": "l + 19", "x": "h + 1", "j": "x + 2", "o": 11}, "premises": {"o": 11}, "target": "d"}, "answer": {"steps": [["z", "m + 13", "m + 21"], ["m", "t + 11", "t + 32"], ["t", "g + 10", "g + 42"], ["g", "r + 3", "r + 45"], ["r", "o + 6", "o + 51"], ["o", 11, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"o": 11}, "is_reverse": true}}
| 301
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 10; c = o + 16; x = h + 1; d = z + 8; m = t + 11; o = 11; j = x + 2; h = l + 19; r = o + 6; g = r + 3; t = g + 10; b = c + 6; z = m + 13. If o = 11, what is the resulting value of d?",
"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 + 13 to d, which gives d = m + 21.\n2. Substitute m = t + 11 to d, which gives d = t + 32.\n3. Substitute t = g + 10 to d, which gives d = g + 42.\n4. Substitute g = r + 3 to d, which gives d = r + 45.\n5. Substitute r = o + 6 to d, which gives d = o + 51.\n6. Substitute o = 11 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 301,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 10; c = o + 16; x = h + 1; d = z + 8; m = t + 11; o = 11; j = x + 2; h = l + 19; r = o + 6; g = r + 3; t = g + 10; b = c + 6; z = m + 13. If o = 11, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 7", "w": "d + 1", "a": "w + 3", "l": "a + 16", "j": "l + 7", "x": "j + 6", "z": "c + 9", "u": "z + 20", "r": "u + 13", "b": "r + 3", "e": "b + 3", "p": "e + 9", "c": 20}, "premises": {"c": 20}, "target": "x"}, "answer": {"steps": [["j", "l + 7", "l + 13"], ["l", "a + 16", "a + 29"], ["a", "w + 3", "w + 32"], ["w", "d + 1", "d + 33"], ["d", "c + 7", "c + 40"], ["c", 20, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"c": 20}, "is_reverse": true}}
| 302
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 20; e = b + 3; l = a + 16; x = j + 6; j = l + 7; c = 20; r = u + 13; a = w + 3; p = e + 9; d = c + 7; w = d + 1; b = r + 3; z = c + 9. If c = 20, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 7 to x, which gives x = l + 13.\n2. Substitute l = a + 16 to x, which gives x = a + 29.\n3. Substitute a = w + 3 to x, which gives x = w + 32.\n4. Substitute w = d + 1 to x, which gives x = d + 33.\n5. Substitute d = c + 7 to x, which gives x = c + 40.\n6. Substitute c = 20 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 302,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 20; e = b + 3; l = a + 16; x = j + 6; j = l + 7; c = 20; r = u + 13; a = w + 3; p = e + 9; d = c + 7; w = d + 1; b = r + 3; z = c + 9. If c = 20, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 5", "q": "u + 3", "n": "q + 7", "i": "n + 8", "d": "i + 19", "r": "d + 8", "o": "p + 20", "v": "o + 2", "w": "v + 12", "z": "w + 17", "b": "z + 20", "m": "b + 13", "p": 8}, "premises": {"p": 8}, "target": "r"}, "answer": {"steps": [["d", "i + 19", "i + 27"], ["i", "n + 8", "n + 35"], ["n", "q + 7", "q + 42"], ["q", "u + 3", "u + 45"], ["u", "p + 5", "p + 50"], ["p", 8, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"p": 8}, "is_reverse": true}}
| 303
| 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 = b + 13; o = p + 20; u = p + 5; n = q + 7; w = v + 12; z = w + 17; q = u + 3; p = 8; b = z + 20; r = d + 8; d = i + 19; v = o + 2; i = n + 8. If p = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 19 to r, which gives r = i + 27.\n2. Substitute i = n + 8 to r, which gives r = n + 35.\n3. Substitute n = q + 7 to r, which gives r = q + 42.\n4. Substitute q = u + 3 to r, which gives r = u + 45.\n5. Substitute u = p + 5 to r, which gives r = p + 50.\n6. Substitute p = 8 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 303,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 13; o = p + 20; u = p + 5; n = q + 7; w = v + 12; z = w + 17; q = u + 3; p = 8; b = z + 20; r = d + 8; d = i + 19; v = o + 2; i = n + 8. If p = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 5", "p": "k + 19", "q": "p + 15", "z": "q + 12", "x": "z + 9", "e": "x + 9", "s": "r + 11", "d": "s + 15", "m": "d + 20", "n": "m + 6", "f": "n + 5", "v": "f + 11", "r": 4}, "premises": {"r": 4}, "target": "e"}, "answer": {"steps": [["x", "z + 9", "z + 18"], ["z", "q + 12", "q + 30"], ["q", "p + 15", "p + 45"], ["p", "k + 19", "k + 64"], ["k", "r + 5", "r + 69"], ["r", 4, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"r": 4}, "is_reverse": true}}
| 304
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 11; r = 4; d = s + 15; x = z + 9; z = q + 12; e = x + 9; m = d + 20; v = f + 11; q = p + 15; k = r + 5; f = n + 5; n = m + 6; p = k + 19. Given that r = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 9 to e, which gives e = z + 18.\n2. Substitute z = q + 12 to e, which gives e = q + 30.\n3. Substitute q = p + 15 to e, which gives e = p + 45.\n4. Substitute p = k + 19 to e, which gives e = k + 64.\n5. Substitute k = r + 5 to e, which gives e = r + 69.\n6. Substitute r = 4 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 304,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 11; r = 4; d = s + 15; x = z + 9; z = q + 12; e = x + 9; m = d + 20; v = f + 11; q = p + 15; k = r + 5; f = n + 5; n = m + 6; p = k + 19. Given that r = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 18", "b": "e + 14", "h": "b + 3", "m": "h + 10", "a": "m + 10", "v": "a + 16", "j": "n + 15", "t": "j + 7", "r": "t + 8", "k": "r + 14", "d": "k + 1", "y": "d + 2", "n": 12}, "premises": {"n": 12}, "target": "v"}, "answer": {"steps": [["a", "m + 10", "m + 26"], ["m", "h + 10", "h + 36"], ["h", "b + 3", "b + 39"], ["b", "e + 14", "e + 53"], ["e", "n + 18", "n + 71"], ["n", 12, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"n": 12}, "is_reverse": true}}
| 305
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 14; d = k + 1; b = e + 14; r = t + 8; t = j + 7; v = a + 16; a = m + 10; y = d + 2; m = h + 10; n = 12; j = n + 15; h = b + 3; e = n + 18. If n = 12, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 10 to v, which gives v = m + 26.\n2. Substitute m = h + 10 to v, which gives v = h + 36.\n3. Substitute h = b + 3 to v, which gives v = b + 39.\n4. Substitute b = e + 14 to v, which gives v = e + 53.\n5. Substitute e = n + 18 to v, which gives v = n + 71.\n6. Substitute n = 12 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 305,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 14; d = k + 1; b = e + 14; r = t + 8; t = j + 7; v = a + 16; a = m + 10; y = d + 2; m = h + 10; n = 12; j = n + 15; h = b + 3; e = n + 18. If n = 12, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 7", "z": "f + 19", "l": "z + 14", "b": "l + 18", "t": "b + 9", "y": "t + 17", "r": "w + 3", "g": "r + 15", "c": "g + 19", "q": "c + 11", "k": "q + 10", "o": "k + 7", "w": 1}, "premises": {"w": 1}, "target": "y"}, "answer": {"steps": [["t", "b + 9", "b + 26"], ["b", "l + 18", "l + 44"], ["l", "z + 14", "z + 58"], ["z", "f + 19", "f + 77"], ["f", "w + 7", "w + 84"], ["w", 1, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"w": 1}, "is_reverse": true}}
| 306
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 9; c = g + 19; k = q + 10; o = k + 7; l = z + 14; b = l + 18; g = r + 15; q = c + 11; y = t + 17; r = w + 3; f = w + 7; w = 1; z = f + 19. If w = 1, determine the 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 t = b + 9 to y, which gives y = b + 26.\n2. Substitute b = l + 18 to y, which gives y = l + 44.\n3. Substitute l = z + 14 to y, which gives y = z + 58.\n4. Substitute z = f + 19 to y, which gives y = f + 77.\n5. Substitute f = w + 7 to y, which gives y = w + 84.\n6. Substitute w = 1 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 306,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 9; c = g + 19; k = q + 10; o = k + 7; l = z + 14; b = l + 18; g = r + 15; q = c + 11; y = t + 17; r = w + 3; f = w + 7; w = 1; z = f + 19. If w = 1, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 7", "x": "l + 17", "m": "x + 15", "w": "m + 17", "t": "w + 18", "e": "t + 20", "k": "r + 16", "d": "k + 8", "f": "d + 4", "p": "f + 7", "c": "p + 3", "b": "c + 17", "r": 18}, "premises": {"r": 18}, "target": "e"}, "answer": {"steps": [["t", "w + 18", "w + 38"], ["w", "m + 17", "m + 55"], ["m", "x + 15", "x + 70"], ["x", "l + 17", "l + 87"], ["l", "r + 7", "r + 94"], ["r", 18, "112"]], "target_var_name": "e", "target_value": 112, "value_dict": {"r": 18}, "is_reverse": true}}
| 307
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 7; d = k + 8; w = m + 17; t = w + 18; e = t + 20; x = l + 17; m = x + 15; f = d + 4; l = r + 7; k = r + 16; r = 18; b = c + 17; c = p + 3. Given that r = 18, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 112,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 18 to e, which gives e = w + 38.\n2. Substitute w = m + 17 to e, which gives e = m + 55.\n3. Substitute m = x + 15 to e, which gives e = x + 70.\n4. Substitute x = l + 17 to e, which gives e = l + 87.\n5. Substitute l = r + 7 to e, which gives e = r + 94.\n6. Substitute r = 18 to e, which gives e = 112.\n\nThus, the final answer is e = \\boxed{112}.",
"index": 307,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 7; d = k + 8; w = m + 17; t = w + 18; e = t + 20; x = l + 17; m = x + 15; f = d + 4; l = r + 7; k = r + 16; r = 18; b = c + 17; c = p + 3. Given that r = 18, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 11", "k": "j + 1", "z": "k + 17", "x": "z + 16", "o": "x + 17", "u": "o + 11", "t": "e + 17", "s": "t + 8", "y": "s + 7", "i": "y + 19", "r": "i + 17", "l": "r + 17", "e": 13}, "premises": {"e": 13}, "target": "u"}, "answer": {"steps": [["o", "x + 17", "x + 28"], ["x", "z + 16", "z + 44"], ["z", "k + 17", "k + 61"], ["k", "j + 1", "j + 62"], ["j", "e + 11", "e + 73"], ["e", 13, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"e": 13}, "is_reverse": true}}
| 308
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = o + 11; k = j + 1; z = k + 17; y = s + 7; t = e + 17; i = y + 19; o = x + 17; x = z + 16; l = r + 17; r = i + 17; j = e + 11; s = t + 8; e = 13. Given that e = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 17 to u, which gives u = x + 28.\n2. Substitute x = z + 16 to u, which gives u = z + 44.\n3. Substitute z = k + 17 to u, which gives u = k + 61.\n4. Substitute k = j + 1 to u, which gives u = j + 62.\n5. Substitute j = e + 11 to u, which gives u = e + 73.\n6. Substitute e = 13 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 308,
"question": "Suppose a collection of variables is related by the following definitions: u = o + 11; k = j + 1; z = k + 17; y = s + 7; t = e + 17; i = y + 19; o = x + 17; x = z + 16; l = r + 17; r = i + 17; j = e + 11; s = t + 8; e = 13. Given that e = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 5", "x": "t + 7", "i": "x + 6", "u": "i + 19", "l": "u + 3", "z": "l + 4", "f": "p + 9", "j": "f + 13", "s": "j + 4", "e": "s + 18", "d": "e + 9", "a": "d + 17", "p": 3}, "premises": {"p": 3}, "target": "z"}, "answer": {"steps": [["l", "u + 3", "u + 7"], ["u", "i + 19", "i + 26"], ["i", "x + 6", "x + 32"], ["x", "t + 7", "t + 39"], ["t", "p + 5", "p + 44"], ["p", 3, "47"]], "target_var_name": "z", "target_value": 47, "value_dict": {"p": 3}, "is_reverse": true}}
| 309
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 9; e = s + 18; i = x + 6; x = t + 7; u = i + 19; z = l + 4; p = 3; s = j + 4; l = u + 3; f = p + 9; t = p + 5; j = f + 13; a = d + 17. Given that p = 3, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 3 to z, which gives z = u + 7.\n2. Substitute u = i + 19 to z, which gives z = i + 26.\n3. Substitute i = x + 6 to z, which gives z = x + 32.\n4. Substitute x = t + 7 to z, which gives z = t + 39.\n5. Substitute t = p + 5 to z, which gives z = p + 44.\n6. Substitute p = 3 to z, which gives z = 47.\n\nThus, the final answer is z = \\boxed{47}.",
"index": 309,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 9; e = s + 18; i = x + 6; x = t + 7; u = i + 19; z = l + 4; p = 3; s = j + 4; l = u + 3; f = p + 9; t = p + 5; j = f + 13; a = d + 17. Given that p = 3, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 5", "d": "f + 19", "w": "d + 4", "u": "w + 14", "n": "u + 19", "a": "n + 12", "i": "e + 11", "r": "i + 20", "b": "r + 9", "p": "b + 18", "t": "p + 18", "l": "t + 8", "e": 16}, "premises": {"e": 16}, "target": "a"}, "answer": {"steps": [["n", "u + 19", "u + 31"], ["u", "w + 14", "w + 45"], ["w", "d + 4", "d + 49"], ["d", "f + 19", "f + 68"], ["f", "e + 5", "e + 73"], ["e", 16, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"e": 16}, "is_reverse": true}}
| 310
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 9; a = n + 12; f = e + 5; i = e + 11; d = f + 19; p = b + 18; n = u + 19; l = t + 8; u = w + 14; w = d + 4; t = p + 18; r = i + 20; e = 16. Given that e = 16, find the 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 n = u + 19 to a, which gives a = u + 31.\n2. Substitute u = w + 14 to a, which gives a = w + 45.\n3. Substitute w = d + 4 to a, which gives a = d + 49.\n4. Substitute d = f + 19 to a, which gives a = f + 68.\n5. Substitute f = e + 5 to a, which gives a = e + 73.\n6. Substitute e = 16 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 310,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 9; a = n + 12; f = e + 5; i = e + 11; d = f + 19; p = b + 18; n = u + 19; l = t + 8; u = w + 14; w = d + 4; t = p + 18; r = i + 20; e = 16. Given that e = 16, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"d": "l + 15", "p": "d + 6", "j": "p + 6", "u": "j + 1", "b": "u + 4", "k": "b + 14", "e": "l + 13", "m": "e + 3", "r": "m + 12", "t": "r + 9", "i": "t + 13", "o": "i + 13", "l": 7}, "premises": {"l": 7}, "target": "k"}, "answer": {"steps": [["b", "u + 4", "u + 18"], ["u", "j + 1", "j + 19"], ["j", "p + 6", "p + 25"], ["p", "d + 6", "d + 31"], ["d", "l + 15", "l + 46"], ["l", 7, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"l": 7}, "is_reverse": true}}
| 311
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 15; o = i + 13; u = j + 1; t = r + 9; p = d + 6; m = e + 3; r = m + 12; j = p + 6; i = t + 13; b = u + 4; l = 7; e = l + 13; k = b + 14. If l = 7, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 4 to k, which gives k = u + 18.\n2. Substitute u = j + 1 to k, which gives k = j + 19.\n3. Substitute j = p + 6 to k, which gives k = p + 25.\n4. Substitute p = d + 6 to k, which gives k = d + 31.\n5. Substitute d = l + 15 to k, which gives k = l + 46.\n6. Substitute l = 7 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 311,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 15; o = i + 13; u = j + 1; t = r + 9; p = d + 6; m = e + 3; r = m + 12; j = p + 6; i = t + 13; b = u + 4; l = 7; e = l + 13; k = b + 14. If l = 7, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 3", "t": "j + 19", "k": "t + 15", "b": "k + 13", "z": "b + 15", "m": "z + 6", "q": "u + 5", "c": "q + 5", "e": "c + 8", "y": "e + 3", "r": "y + 16", "g": "r + 11", "u": 18}, "premises": {"u": 18}, "target": "m"}, "answer": {"steps": [["z", "b + 15", "b + 21"], ["b", "k + 13", "k + 34"], ["k", "t + 15", "t + 49"], ["t", "j + 19", "j + 68"], ["j", "u + 3", "u + 71"], ["u", 18, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"u": 18}, "is_reverse": true}}
| 312
| 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 = c + 8; q = u + 5; z = b + 15; u = 18; b = k + 13; y = e + 3; t = j + 19; m = z + 6; j = u + 3; c = q + 5; k = t + 15; g = r + 11; r = y + 16. If u = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 15 to m, which gives m = b + 21.\n2. Substitute b = k + 13 to m, which gives m = k + 34.\n3. Substitute k = t + 15 to m, which gives m = t + 49.\n4. Substitute t = j + 19 to m, which gives m = j + 68.\n5. Substitute j = u + 3 to m, which gives m = u + 71.\n6. Substitute u = 18 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 312,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 8; q = u + 5; z = b + 15; u = 18; b = k + 13; y = e + 3; t = j + 19; m = z + 6; j = u + 3; c = q + 5; k = t + 15; g = r + 11; r = y + 16. If u = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 8", "y": "u + 7", "k": "y + 9", "e": "k + 18", "m": "e + 15", "b": "m + 18", "q": "h + 1", "l": "q + 14", "t": "l + 14", "n": "t + 18", "f": "n + 18", "a": "f + 18", "h": 15}, "premises": {"h": 15}, "target": "b"}, "answer": {"steps": [["m", "e + 15", "e + 33"], ["e", "k + 18", "k + 51"], ["k", "y + 9", "y + 60"], ["y", "u + 7", "u + 67"], ["u", "h + 8", "h + 75"], ["h", 15, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"h": 15}, "is_reverse": true}}
| 313
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 18; h = 15; m = e + 15; u = h + 8; f = n + 18; y = u + 7; t = l + 14; k = y + 9; b = m + 18; n = t + 18; q = h + 1; l = q + 14; a = f + 18. If h = 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 m = e + 15 to b, which gives b = e + 33.\n2. Substitute e = k + 18 to b, which gives b = k + 51.\n3. Substitute k = y + 9 to b, which gives b = y + 60.\n4. Substitute y = u + 7 to b, which gives b = u + 67.\n5. Substitute u = h + 8 to b, which gives b = h + 75.\n6. Substitute h = 15 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 313,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 18; h = 15; m = e + 15; u = h + 8; f = n + 18; y = u + 7; t = l + 14; k = y + 9; b = m + 18; n = t + 18; q = h + 1; l = q + 14; a = f + 18. If h = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 14", "y": "p + 18", "d": "y + 19", "b": "d + 3", "u": "b + 4", "h": "u + 18", "v": "q + 12", "w": "v + 11", "l": "w + 14", "f": "l + 8", "n": "f + 12", "t": "n + 16", "q": 3}, "premises": {"q": 3}, "target": "h"}, "answer": {"steps": [["u", "b + 4", "b + 22"], ["b", "d + 3", "d + 25"], ["d", "y + 19", "y + 44"], ["y", "p + 18", "p + 62"], ["p", "q + 14", "q + 76"], ["q", 3, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"q": 3}, "is_reverse": true}}
| 314
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = 3; y = p + 18; f = l + 8; n = f + 12; l = w + 14; w = v + 11; p = q + 14; h = u + 18; t = n + 16; v = q + 12; d = y + 19; u = b + 4; b = d + 3. Given that q = 3, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 4 to h, which gives h = b + 22.\n2. Substitute b = d + 3 to h, which gives h = d + 25.\n3. Substitute d = y + 19 to h, which gives h = y + 44.\n4. Substitute y = p + 18 to h, which gives h = p + 62.\n5. Substitute p = q + 14 to h, which gives h = q + 76.\n6. Substitute q = 3 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 314,
"question": "Suppose a collection of variables is related by the following definitions: q = 3; y = p + 18; f = l + 8; n = f + 12; l = w + 14; w = v + 11; p = q + 14; h = u + 18; t = n + 16; v = q + 12; d = y + 19; u = b + 4; b = d + 3. Given that q = 3, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 13", "o": "w + 5", "u": "o + 12", "g": "u + 5", "s": "g + 4", "n": "s + 18", "q": "t + 19", "z": "q + 4", "i": "z + 12", "b": "i + 5", "y": "b + 20", "a": "y + 3", "t": 13}, "premises": {"t": 13}, "target": "n"}, "answer": {"steps": [["s", "g + 4", "g + 22"], ["g", "u + 5", "u + 27"], ["u", "o + 12", "o + 39"], ["o", "w + 5", "w + 44"], ["w", "t + 13", "t + 57"], ["t", 13, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"t": 13}, "is_reverse": true}}
| 315
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 18; q = t + 19; t = 13; w = t + 13; i = z + 12; u = o + 12; a = y + 3; b = i + 5; o = w + 5; s = g + 4; y = b + 20; z = q + 4; g = u + 5. Given that t = 13, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 4 to n, which gives n = g + 22.\n2. Substitute g = u + 5 to n, which gives n = u + 27.\n3. Substitute u = o + 12 to n, which gives n = o + 39.\n4. Substitute o = w + 5 to n, which gives n = w + 44.\n5. Substitute w = t + 13 to n, which gives n = t + 57.\n6. Substitute t = 13 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 315,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 18; q = t + 19; t = 13; w = t + 13; i = z + 12; u = o + 12; a = y + 3; b = i + 5; o = w + 5; s = g + 4; y = b + 20; z = q + 4; g = u + 5. Given that t = 13, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 4", "g": "i + 10", "d": "g + 19", "j": "d + 6", "x": "j + 18", "k": "x + 9", "e": "l + 5", "n": "e + 8", "m": "n + 1", "u": "m + 4", "b": "u + 18", "r": "b + 17", "l": 17}, "premises": {"l": 17}, "target": "k"}, "answer": {"steps": [["x", "j + 18", "j + 27"], ["j", "d + 6", "d + 33"], ["d", "g + 19", "g + 52"], ["g", "i + 10", "i + 62"], ["i", "l + 4", "l + 66"], ["l", 17, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"l": 17}, "is_reverse": true}}
| 316
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 18; b = u + 18; m = n + 1; i = l + 4; e = l + 5; j = d + 6; u = m + 4; d = g + 19; g = i + 10; k = x + 9; n = e + 8; l = 17; r = b + 17. Given that l = 17, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 18 to k, which gives k = j + 27.\n2. Substitute j = d + 6 to k, which gives k = d + 33.\n3. Substitute d = g + 19 to k, which gives k = g + 52.\n4. Substitute g = i + 10 to k, which gives k = i + 62.\n5. Substitute i = l + 4 to k, which gives k = l + 66.\n6. Substitute l = 17 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 316,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 18; b = u + 18; m = n + 1; i = l + 4; e = l + 5; j = d + 6; u = m + 4; d = g + 19; g = i + 10; k = x + 9; n = e + 8; l = 17; r = b + 17. Given that l = 17, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 14", "j": "i + 11", "q": "j + 8", "o": "q + 20", "x": "o + 12", "u": "x + 9", "n": "m + 6", "v": "n + 15", "p": "v + 11", "l": "p + 9", "a": "l + 6", "y": "a + 4", "m": 14}, "premises": {"m": 14}, "target": "u"}, "answer": {"steps": [["x", "o + 12", "o + 21"], ["o", "q + 20", "q + 41"], ["q", "j + 8", "j + 49"], ["j", "i + 11", "i + 60"], ["i", "m + 14", "m + 74"], ["m", 14, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"m": 14}, "is_reverse": true}}
| 317
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = l + 6; x = o + 12; v = n + 15; l = p + 9; u = x + 9; i = m + 14; o = q + 20; p = v + 11; n = m + 6; m = 14; q = j + 8; j = i + 11; y = a + 4. If m = 14, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 12 to u, which gives u = o + 21.\n2. Substitute o = q + 20 to u, which gives u = q + 41.\n3. Substitute q = j + 8 to u, which gives u = j + 49.\n4. Substitute j = i + 11 to u, which gives u = i + 60.\n5. Substitute i = m + 14 to u, which gives u = m + 74.\n6. Substitute m = 14 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 317,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = l + 6; x = o + 12; v = n + 15; l = p + 9; u = x + 9; i = m + 14; o = q + 20; p = v + 11; n = m + 6; m = 14; q = j + 8; j = i + 11; y = a + 4. If m = 14, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 6", "n": "i + 2", "x": "n + 15", "d": "x + 1", "f": "d + 6", "l": "f + 8", "t": "y + 13", "w": "t + 17", "g": "w + 6", "z": "g + 7", "a": "z + 7", "u": "a + 11", "y": 6}, "premises": {"y": 6}, "target": "l"}, "answer": {"steps": [["f", "d + 6", "d + 14"], ["d", "x + 1", "x + 15"], ["x", "n + 15", "n + 30"], ["n", "i + 2", "i + 32"], ["i", "y + 6", "y + 38"], ["y", 6, "44"]], "target_var_name": "l", "target_value": 44, "value_dict": {"y": 6}, "is_reverse": true}}
| 318
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 17; x = n + 15; g = w + 6; i = y + 6; n = i + 2; y = 6; l = f + 8; a = z + 7; u = a + 11; z = g + 7; f = d + 6; d = x + 1; t = y + 13. Given that y = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 6 to l, which gives l = d + 14.\n2. Substitute d = x + 1 to l, which gives l = x + 15.\n3. Substitute x = n + 15 to l, which gives l = n + 30.\n4. Substitute n = i + 2 to l, which gives l = i + 32.\n5. Substitute i = y + 6 to l, which gives l = y + 38.\n6. Substitute y = 6 to l, which gives l = 44.\n\nThus, the final answer is l = \\boxed{44}.",
"index": 318,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 17; x = n + 15; g = w + 6; i = y + 6; n = i + 2; y = 6; l = f + 8; a = z + 7; u = a + 11; z = g + 7; f = d + 6; d = x + 1; t = y + 13. Given that y = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 3", "g": "d + 15", "k": "g + 11", "m": "k + 13", "f": "m + 3", "n": "f + 2", "x": "p + 6", "t": "x + 9", "w": "t + 1", "z": "w + 18", "s": "z + 5", "j": "s + 3", "p": 9}, "premises": {"p": 9}, "target": "n"}, "answer": {"steps": [["f", "m + 3", "m + 5"], ["m", "k + 13", "k + 18"], ["k", "g + 11", "g + 29"], ["g", "d + 15", "d + 44"], ["d", "p + 3", "p + 47"], ["p", 9, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"p": 9}, "is_reverse": true}}
| 319
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 6; g = d + 15; p = 9; t = x + 9; w = t + 1; d = p + 3; z = w + 18; j = s + 3; s = z + 5; f = m + 3; n = f + 2; m = k + 13; k = g + 11. If p = 9, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 3 to n, which gives n = m + 5.\n2. Substitute m = k + 13 to n, which gives n = k + 18.\n3. Substitute k = g + 11 to n, which gives n = g + 29.\n4. Substitute g = d + 15 to n, which gives n = d + 44.\n5. Substitute d = p + 3 to n, which gives n = p + 47.\n6. Substitute p = 9 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 319,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 6; g = d + 15; p = 9; t = x + 9; w = t + 1; d = p + 3; z = w + 18; j = s + 3; s = z + 5; f = m + 3; n = f + 2; m = k + 13; k = g + 11. If p = 9, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 19", "j": "f + 16", "t": "j + 1", "k": "t + 15", "z": "k + 13", "o": "z + 4", "h": "a + 14", "n": "h + 13", "w": "n + 3", "i": "w + 1", "m": "i + 12", "s": "m + 15", "a": 3}, "premises": {"a": 3}, "target": "o"}, "answer": {"steps": [["z", "k + 13", "k + 17"], ["k", "t + 15", "t + 32"], ["t", "j + 1", "j + 33"], ["j", "f + 16", "f + 49"], ["f", "a + 19", "a + 68"], ["a", 3, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"a": 3}, "is_reverse": true}}
| 320
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 1; f = a + 19; k = t + 15; a = 3; m = i + 12; j = f + 16; s = m + 15; w = n + 3; n = h + 13; z = k + 13; h = a + 14; i = w + 1; o = z + 4. If a = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 13 to o, which gives o = k + 17.\n2. Substitute k = t + 15 to o, which gives o = t + 32.\n3. Substitute t = j + 1 to o, which gives o = j + 33.\n4. Substitute j = f + 16 to o, which gives o = f + 49.\n5. Substitute f = a + 19 to o, which gives o = a + 68.\n6. Substitute a = 3 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 320,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 1; f = a + 19; k = t + 15; a = 3; m = i + 12; j = f + 16; s = m + 15; w = n + 3; n = h + 13; z = k + 13; h = a + 14; i = w + 1; o = z + 4. If a = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 2", "d": "x + 8", "k": "d + 1", "c": "k + 20", "m": "c + 18", "u": "m + 7", "h": "s + 15", "n": "h + 14", "g": "n + 12", "j": "g + 3", "o": "j + 16", "b": "o + 17", "s": 13}, "premises": {"s": 13}, "target": "u"}, "answer": {"steps": [["m", "c + 18", "c + 25"], ["c", "k + 20", "k + 45"], ["k", "d + 1", "d + 46"], ["d", "x + 8", "x + 54"], ["x", "s + 2", "s + 56"], ["s", 13, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"s": 13}, "is_reverse": true}}
| 321
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 8; u = m + 7; j = g + 3; n = h + 14; k = d + 1; o = j + 16; h = s + 15; c = k + 20; m = c + 18; b = o + 17; s = 13; g = n + 12; x = s + 2. Given that s = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 18 to u, which gives u = c + 25.\n2. Substitute c = k + 20 to u, which gives u = k + 45.\n3. Substitute k = d + 1 to u, which gives u = d + 46.\n4. Substitute d = x + 8 to u, which gives u = x + 54.\n5. Substitute x = s + 2 to u, which gives u = s + 56.\n6. Substitute s = 13 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 321,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 8; u = m + 7; j = g + 3; n = h + 14; k = d + 1; o = j + 16; h = s + 15; c = k + 20; m = c + 18; b = o + 17; s = 13; g = n + 12; x = s + 2. Given that s = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 18", "p": "m + 8", "z": "p + 16", "l": "z + 10", "o": "l + 6", "u": "o + 7", "c": "j + 11", "h": "c + 12", "t": "h + 14", "f": "t + 3", "e": "f + 8", "x": "e + 5", "j": 2}, "premises": {"j": 2}, "target": "u"}, "answer": {"steps": [["o", "l + 6", "l + 13"], ["l", "z + 10", "z + 23"], ["z", "p + 16", "p + 39"], ["p", "m + 8", "m + 47"], ["m", "j + 18", "j + 65"], ["j", 2, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"j": 2}, "is_reverse": true}}
| 322
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 16; c = j + 11; j = 2; h = c + 12; x = e + 5; t = h + 14; m = j + 18; l = z + 10; u = o + 7; f = t + 3; p = m + 8; e = f + 8; o = l + 6. If j = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 6 to u, which gives u = l + 13.\n2. Substitute l = z + 10 to u, which gives u = z + 23.\n3. Substitute z = p + 16 to u, which gives u = p + 39.\n4. Substitute p = m + 8 to u, which gives u = m + 47.\n5. Substitute m = j + 18 to u, which gives u = j + 65.\n6. Substitute j = 2 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 322,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 16; c = j + 11; j = 2; h = c + 12; x = e + 5; t = h + 14; m = j + 18; l = z + 10; u = o + 7; f = t + 3; p = m + 8; e = f + 8; o = l + 6. If j = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 12", "q": "c + 13", "w": "q + 4", "i": "w + 8", "a": "i + 13", "f": "a + 11", "b": "x + 8", "r": "b + 14", "z": "r + 20", "l": "z + 19", "j": "l + 9", "u": "j + 19", "x": 19}, "premises": {"x": 19}, "target": "f"}, "answer": {"steps": [["a", "i + 13", "i + 24"], ["i", "w + 8", "w + 32"], ["w", "q + 4", "q + 36"], ["q", "c + 13", "c + 49"], ["c", "x + 12", "x + 61"], ["x", 19, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"x": 19}, "is_reverse": true}}
| 323
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 8; x = 19; r = b + 14; f = a + 11; l = z + 19; j = l + 9; i = w + 8; z = r + 20; w = q + 4; c = x + 12; q = c + 13; u = j + 19; a = i + 13. Given that x = 19, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 13 to f, which gives f = i + 24.\n2. Substitute i = w + 8 to f, which gives f = w + 32.\n3. Substitute w = q + 4 to f, which gives f = q + 36.\n4. Substitute q = c + 13 to f, which gives f = c + 49.\n5. Substitute c = x + 12 to f, which gives f = x + 61.\n6. Substitute x = 19 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 323,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 8; x = 19; r = b + 14; f = a + 11; l = z + 19; j = l + 9; i = w + 8; z = r + 20; w = q + 4; c = x + 12; q = c + 13; u = j + 19; a = i + 13. Given that x = 19, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 6", "h": "j + 6", "b": "h + 12", "g": "b + 6", "y": "g + 6", "k": "y + 18", "e": "n + 3", "m": "e + 4", "o": "m + 16", "d": "o + 14", "r": "d + 13", "a": "r + 12", "n": 8}, "premises": {"n": 8}, "target": "k"}, "answer": {"steps": [["y", "g + 6", "g + 24"], ["g", "b + 6", "b + 30"], ["b", "h + 12", "h + 42"], ["h", "j + 6", "j + 48"], ["j", "n + 6", "n + 54"], ["n", 8, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"n": 8}, "is_reverse": true}}
| 324
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 12; n = 8; d = o + 14; e = n + 3; g = b + 6; j = n + 6; y = g + 6; k = y + 18; b = h + 12; r = d + 13; o = m + 16; h = j + 6; m = e + 4. If n = 8, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 6 to k, which gives k = g + 24.\n2. Substitute g = b + 6 to k, which gives k = b + 30.\n3. Substitute b = h + 12 to k, which gives k = h + 42.\n4. Substitute h = j + 6 to k, which gives k = j + 48.\n5. Substitute j = n + 6 to k, which gives k = n + 54.\n6. Substitute n = 8 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 324,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 12; n = 8; d = o + 14; e = n + 3; g = b + 6; j = n + 6; y = g + 6; k = y + 18; b = h + 12; r = d + 13; o = m + 16; h = j + 6; m = e + 4. If n = 8, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 6", "n": "r + 2", "y": "n + 5", "c": "y + 9", "f": "c + 6", "l": "f + 6", "a": "g + 4", "x": "a + 4", "q": "x + 9", "w": "q + 20", "k": "w + 6", "h": "k + 9", "g": 19}, "premises": {"g": 19}, "target": "l"}, "answer": {"steps": [["f", "c + 6", "c + 12"], ["c", "y + 9", "y + 21"], ["y", "n + 5", "n + 26"], ["n", "r + 2", "r + 28"], ["r", "g + 6", "g + 34"], ["g", 19, "53"]], "target_var_name": "l", "target_value": 53, "value_dict": {"g": 19}, "is_reverse": true}}
| 325
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 6; w = q + 20; l = f + 6; f = c + 6; y = n + 5; x = a + 4; r = g + 6; n = r + 2; g = 19; a = g + 4; h = k + 9; q = x + 9; c = y + 9. If g = 19, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 6 to l, which gives l = c + 12.\n2. Substitute c = y + 9 to l, which gives l = y + 21.\n3. Substitute y = n + 5 to l, which gives l = n + 26.\n4. Substitute n = r + 2 to l, which gives l = r + 28.\n5. Substitute r = g + 6 to l, which gives l = g + 34.\n6. Substitute g = 19 to l, which gives l = 53.\n\nThus, the final answer is l = \\boxed{53}.",
"index": 325,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 6; w = q + 20; l = f + 6; f = c + 6; y = n + 5; x = a + 4; r = g + 6; n = r + 2; g = 19; a = g + 4; h = k + 9; q = x + 9; c = y + 9. If g = 19, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 9", "j": "o + 9", "i": "j + 8", "s": "i + 19", "c": "s + 14", "e": "c + 14", "w": "k + 1", "y": "w + 5", "u": "y + 13", "p": "u + 8", "z": "p + 10", "a": "z + 4", "k": 18}, "premises": {"k": 18}, "target": "e"}, "answer": {"steps": [["c", "s + 14", "s + 28"], ["s", "i + 19", "i + 47"], ["i", "j + 8", "j + 55"], ["j", "o + 9", "o + 64"], ["o", "k + 9", "k + 73"], ["k", 18, "91"]], "target_var_name": "e", "target_value": 91, "value_dict": {"k": 18}, "is_reverse": true}}
| 326
| 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 = o + 9; u = y + 13; a = z + 4; z = p + 10; w = k + 1; c = s + 14; k = 18; s = i + 19; o = k + 9; y = w + 5; e = c + 14; i = j + 8; p = u + 8. If k = 18, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 14 to e, which gives e = s + 28.\n2. Substitute s = i + 19 to e, which gives e = i + 47.\n3. Substitute i = j + 8 to e, which gives e = j + 55.\n4. Substitute j = o + 9 to e, which gives e = o + 64.\n5. Substitute o = k + 9 to e, which gives e = k + 73.\n6. Substitute k = 18 to e, which gives e = 91.\n\nThus, the final answer is e = \\boxed{91}.",
"index": 326,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 9; u = y + 13; a = z + 4; z = p + 10; w = k + 1; c = s + 14; k = 18; s = i + 19; o = k + 9; y = w + 5; e = c + 14; i = j + 8; p = u + 8. If k = 18, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 20", "e": "a + 17", "y": "e + 11", "r": "y + 4", "j": "r + 4", "p": "j + 14", "t": "w + 8", "i": "t + 4", "x": "i + 18", "m": "x + 2", "z": "m + 13", "v": "z + 13", "w": 4}, "premises": {"w": 4}, "target": "p"}, "answer": {"steps": [["j", "r + 4", "r + 18"], ["r", "y + 4", "y + 22"], ["y", "e + 11", "e + 33"], ["e", "a + 17", "a + 50"], ["a", "w + 20", "w + 70"], ["w", 4, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"w": 4}, "is_reverse": true}}
| 327
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 2; e = a + 17; r = y + 4; p = j + 14; i = t + 4; w = 4; j = r + 4; z = m + 13; v = z + 13; y = e + 11; x = i + 18; a = w + 20; t = w + 8. Given that w = 4, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 4 to p, which gives p = r + 18.\n2. Substitute r = y + 4 to p, which gives p = y + 22.\n3. Substitute y = e + 11 to p, which gives p = e + 33.\n4. Substitute e = a + 17 to p, which gives p = a + 50.\n5. Substitute a = w + 20 to p, which gives p = w + 70.\n6. Substitute w = 4 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 327,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 2; e = a + 17; r = y + 4; p = j + 14; i = t + 4; w = 4; j = r + 4; z = m + 13; v = z + 13; y = e + 11; x = i + 18; a = w + 20; t = w + 8. Given that w = 4, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 18", "q": "w + 2", "j": "q + 8", "c": "j + 9", "n": "c + 4", "e": "n + 7", "d": "m + 1", "f": "d + 5", "o": "f + 20", "l": "o + 14", "g": "l + 18", "a": "g + 9", "m": 7}, "premises": {"m": 7}, "target": "e"}, "answer": {"steps": [["n", "c + 4", "c + 11"], ["c", "j + 9", "j + 20"], ["j", "q + 8", "q + 28"], ["q", "w + 2", "w + 30"], ["w", "m + 18", "m + 48"], ["m", 7, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"m": 7}, "is_reverse": true}}
| 328
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 2; e = n + 7; j = q + 8; g = l + 18; n = c + 4; d = m + 1; f = d + 5; c = j + 9; m = 7; o = f + 20; w = m + 18; l = o + 14; a = g + 9. If m = 7, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 4 to e, which gives e = c + 11.\n2. Substitute c = j + 9 to e, which gives e = j + 20.\n3. Substitute j = q + 8 to e, which gives e = q + 28.\n4. Substitute q = w + 2 to e, which gives e = w + 30.\n5. Substitute w = m + 18 to e, which gives e = m + 48.\n6. Substitute m = 7 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 2; e = n + 7; j = q + 8; g = l + 18; n = c + 4; d = m + 1; f = d + 5; c = j + 9; m = 7; o = f + 20; w = m + 18; l = o + 14; a = g + 9. If m = 7, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 5", "c": "g + 12", "f": "c + 20", "q": "f + 6", "r": "q + 13", "t": "r + 14", "j": "d + 8", "s": "j + 14", "l": "s + 12", "w": "l + 1", "b": "w + 13", "e": "b + 18", "d": 12}, "premises": {"d": 12}, "target": "t"}, "answer": {"steps": [["r", "q + 13", "q + 27"], ["q", "f + 6", "f + 33"], ["f", "c + 20", "c + 53"], ["c", "g + 12", "g + 65"], ["g", "d + 5", "d + 70"], ["d", 12, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"d": 12}, "is_reverse": true}}
| 329
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = w + 13; c = g + 12; g = d + 5; q = f + 6; l = s + 12; s = j + 14; e = b + 18; d = 12; r = q + 13; w = l + 1; f = c + 20; t = r + 14; j = d + 8. If d = 12, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 13 to t, which gives t = q + 27.\n2. Substitute q = f + 6 to t, which gives t = f + 33.\n3. Substitute f = c + 20 to t, which gives t = c + 53.\n4. Substitute c = g + 12 to t, which gives t = g + 65.\n5. Substitute g = d + 5 to t, which gives t = d + 70.\n6. Substitute d = 12 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 329,
"question": "Consider a system of variables where each variable is defined as follows: b = w + 13; c = g + 12; g = d + 5; q = f + 6; l = s + 12; s = j + 14; e = b + 18; d = 12; r = q + 13; w = l + 1; f = c + 20; t = r + 14; j = d + 8. If d = 12, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 5", "f": "s + 13", "j": "f + 19", "h": "j + 19", "b": "h + 16", "c": "b + 4", "w": "k + 11", "v": "w + 11", "r": "v + 1", "d": "r + 14", "z": "d + 2", "i": "z + 20", "k": 5}, "premises": {"k": 5}, "target": "c"}, "answer": {"steps": [["b", "h + 16", "h + 20"], ["h", "j + 19", "j + 39"], ["j", "f + 19", "f + 58"], ["f", "s + 13", "s + 71"], ["s", "k + 5", "k + 76"], ["k", 5, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"k": 5}, "is_reverse": true}}
| 330
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 20; z = d + 2; v = w + 11; r = v + 1; w = k + 11; j = f + 19; c = b + 4; k = 5; h = j + 19; s = k + 5; b = h + 16; d = r + 14; f = s + 13. Given that k = 5, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 16 to c, which gives c = h + 20.\n2. Substitute h = j + 19 to c, which gives c = j + 39.\n3. Substitute j = f + 19 to c, which gives c = f + 58.\n4. Substitute f = s + 13 to c, which gives c = s + 71.\n5. Substitute s = k + 5 to c, which gives c = k + 76.\n6. Substitute k = 5 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 330,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 20; z = d + 2; v = w + 11; r = v + 1; w = k + 11; j = f + 19; c = b + 4; k = 5; h = j + 19; s = k + 5; b = h + 16; d = r + 14; f = s + 13. Given that k = 5, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 16", "r": "y + 2", "w": "r + 6", "k": "w + 8", "i": "k + 17", "o": "i + 18", "l": "z + 1", "e": "l + 11", "p": "e + 13", "s": "p + 13", "c": "s + 9", "h": "c + 10", "z": 10}, "premises": {"z": 10}, "target": "o"}, "answer": {"steps": [["i", "k + 17", "k + 35"], ["k", "w + 8", "w + 43"], ["w", "r + 6", "r + 49"], ["r", "y + 2", "y + 51"], ["y", "z + 16", "z + 67"], ["z", 10, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"z": 10}, "is_reverse": true}}
| 331
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 13; i = k + 17; o = i + 18; k = w + 8; l = z + 1; r = y + 2; e = l + 11; h = c + 10; w = r + 6; c = s + 9; y = z + 16; z = 10; p = e + 13. If z = 10, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 17 to o, which gives o = k + 35.\n2. Substitute k = w + 8 to o, which gives o = w + 43.\n3. Substitute w = r + 6 to o, which gives o = r + 49.\n4. Substitute r = y + 2 to o, which gives o = y + 51.\n5. Substitute y = z + 16 to o, which gives o = z + 67.\n6. Substitute z = 10 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 331,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 13; i = k + 17; o = i + 18; k = w + 8; l = z + 1; r = y + 2; e = l + 11; h = c + 10; w = r + 6; c = s + 9; y = z + 16; z = 10; p = e + 13. If z = 10, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 8", "v": "u + 6", "q": "v + 18", "s": "q + 2", "a": "s + 6", "b": "a + 13", "j": "z + 14", "t": "j + 12", "g": "t + 14", "y": "g + 3", "e": "y + 13", "p": "e + 5", "z": 11}, "premises": {"z": 11}, "target": "b"}, "answer": {"steps": [["a", "s + 6", "s + 19"], ["s", "q + 2", "q + 21"], ["q", "v + 18", "v + 39"], ["v", "u + 6", "u + 45"], ["u", "z + 8", "z + 53"], ["z", 11, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"z": 11}, "is_reverse": true}}
| 332
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 18; e = y + 13; g = t + 14; v = u + 6; s = q + 2; z = 11; j = z + 14; b = a + 13; u = z + 8; y = g + 3; t = j + 12; p = e + 5; a = s + 6. Given that z = 11, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 6 to b, which gives b = s + 19.\n2. Substitute s = q + 2 to b, which gives b = q + 21.\n3. Substitute q = v + 18 to b, which gives b = v + 39.\n4. Substitute v = u + 6 to b, which gives b = u + 45.\n5. Substitute u = z + 8 to b, which gives b = z + 53.\n6. Substitute z = 11 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 332,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 18; e = y + 13; g = t + 14; v = u + 6; s = q + 2; z = 11; j = z + 14; b = a + 13; u = z + 8; y = g + 3; t = j + 12; p = e + 5; a = s + 6. Given that z = 11, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 10", "e": "c + 17", "s": "e + 17", "w": "s + 17", "j": "w + 20", "g": "j + 17", "d": "t + 9", "b": "d + 13", "q": "b + 16", "z": "q + 7", "k": "z + 3", "x": "k + 10", "t": 2}, "premises": {"t": 2}, "target": "g"}, "answer": {"steps": [["j", "w + 20", "w + 37"], ["w", "s + 17", "s + 54"], ["s", "e + 17", "e + 71"], ["e", "c + 17", "c + 88"], ["c", "t + 10", "t + 98"], ["t", 2, "100"]], "target_var_name": "g", "target_value": 100, "value_dict": {"t": 2}, "is_reverse": true}}
| 333
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 17; x = k + 10; k = z + 3; w = s + 17; e = c + 17; b = d + 13; g = j + 17; j = w + 20; q = b + 16; c = t + 10; z = q + 7; d = t + 9; t = 2. Given that t = 2, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 20 to g, which gives g = w + 37.\n2. Substitute w = s + 17 to g, which gives g = s + 54.\n3. Substitute s = e + 17 to g, which gives g = e + 71.\n4. Substitute e = c + 17 to g, which gives g = c + 88.\n5. Substitute c = t + 10 to g, which gives g = t + 98.\n6. Substitute t = 2 to g, which gives g = 100.\n\nThus, the final answer is g = \\boxed{100}.",
"index": 333,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 17; x = k + 10; k = z + 3; w = s + 17; e = c + 17; b = d + 13; g = j + 17; j = w + 20; q = b + 16; c = t + 10; z = q + 7; d = t + 9; t = 2. Given that t = 2, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 18", "g": "d + 15", "w": "g + 17", "i": "w + 19", "k": "i + 5", "q": "k + 11", "a": "j + 9", "l": "a + 16", "o": "l + 11", "z": "o + 2", "r": "z + 2", "p": "r + 8", "j": 16}, "premises": {"j": 16}, "target": "q"}, "answer": {"steps": [["k", "i + 5", "i + 16"], ["i", "w + 19", "w + 35"], ["w", "g + 17", "g + 52"], ["g", "d + 15", "d + 67"], ["d", "j + 18", "j + 85"], ["j", 16, "101"]], "target_var_name": "q", "target_value": 101, "value_dict": {"j": 16}, "is_reverse": true}}
| 334
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 19; k = i + 5; r = z + 2; q = k + 11; j = 16; g = d + 15; p = r + 8; d = j + 18; o = l + 11; w = g + 17; a = j + 9; z = o + 2; l = a + 16. If j = 16, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 5 to q, which gives q = i + 16.\n2. Substitute i = w + 19 to q, which gives q = w + 35.\n3. Substitute w = g + 17 to q, which gives q = g + 52.\n4. Substitute g = d + 15 to q, which gives q = d + 67.\n5. Substitute d = j + 18 to q, which gives q = j + 85.\n6. Substitute j = 16 to q, which gives q = 101.\n\nThus, the final answer is q = \\boxed{101}.",
"index": 334,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 19; k = i + 5; r = z + 2; q = k + 11; j = 16; g = d + 15; p = r + 8; d = j + 18; o = l + 11; w = g + 17; a = j + 9; z = o + 2; l = a + 16. If j = 16, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 18", "l": "x + 4", "y": "l + 1", "z": "y + 4", "f": "z + 18", "d": "f + 8", "g": "r + 12", "u": "g + 5", "c": "u + 7", "t": "c + 2", "q": "t + 1", "j": "q + 19", "r": 8}, "premises": {"r": 8}, "target": "d"}, "answer": {"steps": [["f", "z + 18", "z + 26"], ["z", "y + 4", "y + 30"], ["y", "l + 1", "l + 31"], ["l", "x + 4", "x + 35"], ["x", "r + 18", "r + 53"], ["r", 8, "61"]], "target_var_name": "d", "target_value": 61, "value_dict": {"r": 8}, "is_reverse": true}}
| 335
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 4; q = t + 1; g = r + 12; y = l + 1; r = 8; t = c + 2; x = r + 18; c = u + 7; u = g + 5; d = f + 8; z = y + 4; f = z + 18; j = q + 19. If r = 8, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 18 to d, which gives d = z + 26.\n2. Substitute z = y + 4 to d, which gives d = y + 30.\n3. Substitute y = l + 1 to d, which gives d = l + 31.\n4. Substitute l = x + 4 to d, which gives d = x + 35.\n5. Substitute x = r + 18 to d, which gives d = r + 53.\n6. Substitute r = 8 to d, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 335,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 4; q = t + 1; g = r + 12; y = l + 1; r = 8; t = c + 2; x = r + 18; c = u + 7; u = g + 5; d = f + 8; z = y + 4; f = z + 18; j = q + 19. If r = 8, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 20", "y": "g + 1", "s": "y + 7", "r": "s + 12", "f": "r + 14", "n": "f + 20", "w": "e + 14", "a": "w + 7", "v": "a + 5", "x": "v + 19", "d": "x + 4", "o": "d + 4", "e": 20}, "premises": {"e": 20}, "target": "n"}, "answer": {"steps": [["f", "r + 14", "r + 34"], ["r", "s + 12", "s + 46"], ["s", "y + 7", "y + 53"], ["y", "g + 1", "g + 54"], ["g", "e + 20", "e + 74"], ["e", 20, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"e": 20}, "is_reverse": true}}
| 336
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 7; n = f + 20; v = a + 5; r = s + 12; w = e + 14; x = v + 19; y = g + 1; e = 20; d = x + 4; a = w + 7; o = d + 4; f = r + 14; g = e + 20. If e = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 14 to n, which gives n = r + 34.\n2. Substitute r = s + 12 to n, which gives n = s + 46.\n3. Substitute s = y + 7 to n, which gives n = y + 53.\n4. Substitute y = g + 1 to n, which gives n = g + 54.\n5. Substitute g = e + 20 to n, which gives n = e + 74.\n6. Substitute e = 20 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 336,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = y + 7; n = f + 20; v = a + 5; r = s + 12; w = e + 14; x = v + 19; y = g + 1; e = 20; d = x + 4; a = w + 7; o = d + 4; f = r + 14; g = e + 20. If e = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 5", "x": "w + 20", "u": "x + 9", "y": "u + 1", "f": "y + 1", "p": "f + 3", "s": "e + 7", "g": "s + 12", "v": "g + 13", "t": "v + 20", "h": "t + 20", "b": "h + 4", "e": 9}, "premises": {"e": 9}, "target": "p"}, "answer": {"steps": [["f", "y + 1", "y + 4"], ["y", "u + 1", "u + 5"], ["u", "x + 9", "x + 14"], ["x", "w + 20", "w + 34"], ["w", "e + 5", "e + 39"], ["e", 9, "48"]], "target_var_name": "p", "target_value": 48, "value_dict": {"e": 9}, "is_reverse": true}}
| 337
| 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 = v + 20; y = u + 1; s = e + 7; p = f + 3; b = h + 4; h = t + 20; g = s + 12; u = x + 9; x = w + 20; e = 9; w = e + 5; v = g + 13; f = y + 1. If e = 9, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 1 to p, which gives p = y + 4.\n2. Substitute y = u + 1 to p, which gives p = u + 5.\n3. Substitute u = x + 9 to p, which gives p = x + 14.\n4. Substitute x = w + 20 to p, which gives p = w + 34.\n5. Substitute w = e + 5 to p, which gives p = e + 39.\n6. Substitute e = 9 to p, which gives p = 48.\n\nThus, the final answer is p = \\boxed{48}.",
"index": 337,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 20; y = u + 1; s = e + 7; p = f + 3; b = h + 4; h = t + 20; g = s + 12; u = x + 9; x = w + 20; e = 9; w = e + 5; v = g + 13; f = y + 1. If e = 9, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 16", "i": "l + 5", "n": "i + 16", "h": "n + 9", "v": "h + 5", "f": "v + 12", "b": "z + 20", "y": "b + 1", "e": "y + 5", "r": "e + 20", "k": "r + 6", "w": "k + 20", "z": 17}, "premises": {"z": 17}, "target": "f"}, "answer": {"steps": [["v", "h + 5", "h + 17"], ["h", "n + 9", "n + 26"], ["n", "i + 16", "i + 42"], ["i", "l + 5", "l + 47"], ["l", "z + 16", "z + 63"], ["z", 17, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"z": 17}, "is_reverse": true}}
| 338
| 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 + 20; i = l + 5; k = r + 6; n = i + 16; z = 17; v = h + 5; l = z + 16; e = y + 5; r = e + 20; y = b + 1; b = z + 20; h = n + 9; f = v + 12. If z = 17, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 5 to f, which gives f = h + 17.\n2. Substitute h = n + 9 to f, which gives f = n + 26.\n3. Substitute n = i + 16 to f, which gives f = i + 42.\n4. Substitute i = l + 5 to f, which gives f = l + 47.\n5. Substitute l = z + 16 to f, which gives f = z + 63.\n6. Substitute z = 17 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 20; i = l + 5; k = r + 6; n = i + 16; z = 17; v = h + 5; l = z + 16; e = y + 5; r = e + 20; y = b + 1; b = z + 20; h = n + 9; f = v + 12. If z = 17, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 8", "t": "i + 20", "c": "t + 16", "m": "c + 1", "n": "m + 12", "o": "n + 15", "r": "s + 14", "z": "r + 2", "a": "z + 5", "g": "a + 19", "y": "g + 3", "j": "y + 14", "s": 16}, "premises": {"s": 16}, "target": "o"}, "answer": {"steps": [["n", "m + 12", "m + 27"], ["m", "c + 1", "c + 28"], ["c", "t + 16", "t + 44"], ["t", "i + 20", "i + 64"], ["i", "s + 8", "s + 72"], ["s", 16, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"s": 16}, "is_reverse": true}}
| 339
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 20; c = t + 16; s = 16; r = s + 14; n = m + 12; a = z + 5; g = a + 19; o = n + 15; j = y + 14; m = c + 1; i = s + 8; z = r + 2; y = g + 3. If s = 16, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 12 to o, which gives o = m + 27.\n2. Substitute m = c + 1 to o, which gives o = c + 28.\n3. Substitute c = t + 16 to o, which gives o = t + 44.\n4. Substitute t = i + 20 to o, which gives o = i + 64.\n5. Substitute i = s + 8 to o, which gives o = s + 72.\n6. Substitute s = 16 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 339,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 20; c = t + 16; s = 16; r = s + 14; n = m + 12; a = z + 5; g = a + 19; o = n + 15; j = y + 14; m = c + 1; i = s + 8; z = r + 2; y = g + 3. If s = 16, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 1", "n": "t + 13", "r": "n + 10", "x": "r + 1", "u": "x + 11", "l": "u + 17", "b": "d + 4", "o": "b + 3", "k": "o + 12", "m": "k + 9", "e": "m + 18", "q": "e + 6", "d": 3}, "premises": {"d": 3}, "target": "l"}, "answer": {"steps": [["u", "x + 11", "x + 28"], ["x", "r + 1", "r + 29"], ["r", "n + 10", "n + 39"], ["n", "t + 13", "t + 52"], ["t", "d + 1", "d + 53"], ["d", 3, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"d": 3}, "is_reverse": true}}
| 340
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 3; q = e + 6; r = n + 10; t = d + 1; o = b + 3; b = d + 4; l = u + 17; e = m + 18; k = o + 12; m = k + 9; n = t + 13; u = x + 11; x = r + 1. Given that d = 3, 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 u = x + 11 to l, which gives l = x + 28.\n2. Substitute x = r + 1 to l, which gives l = r + 29.\n3. Substitute r = n + 10 to l, which gives l = n + 39.\n4. Substitute n = t + 13 to l, which gives l = t + 52.\n5. Substitute t = d + 1 to l, which gives l = d + 53.\n6. Substitute d = 3 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 340,
"question": "Suppose a collection of variables is related by the following definitions: d = 3; q = e + 6; r = n + 10; t = d + 1; o = b + 3; b = d + 4; l = u + 17; e = m + 18; k = o + 12; m = k + 9; n = t + 13; u = x + 11; x = r + 1. Given that d = 3, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 4", "y": "l + 9", "z": "y + 6", "r": "z + 8", "q": "r + 9", "i": "q + 14", "n": "h + 3", "d": "n + 4", "v": "d + 12", "m": "v + 4", "g": "m + 16", "k": "g + 1", "h": 15}, "premises": {"h": 15}, "target": "i"}, "answer": {"steps": [["q", "r + 9", "r + 23"], ["r", "z + 8", "z + 31"], ["z", "y + 6", "y + 37"], ["y", "l + 9", "l + 46"], ["l", "h + 4", "h + 50"], ["h", 15, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"h": 15}, "is_reverse": true}}
| 341
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 9; r = z + 8; h = 15; d = n + 4; l = h + 4; z = y + 6; k = g + 1; i = q + 14; v = d + 12; g = m + 16; n = h + 3; y = l + 9; m = v + 4. If h = 15, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 9 to i, which gives i = r + 23.\n2. Substitute r = z + 8 to i, which gives i = z + 31.\n3. Substitute z = y + 6 to i, which gives i = y + 37.\n4. Substitute y = l + 9 to i, which gives i = l + 46.\n5. Substitute l = h + 4 to i, which gives i = h + 50.\n6. Substitute h = 15 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 341,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 9; r = z + 8; h = 15; d = n + 4; l = h + 4; z = y + 6; k = g + 1; i = q + 14; v = d + 12; g = m + 16; n = h + 3; y = l + 9; m = v + 4. If h = 15, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 17", "b": "d + 19", "z": "b + 8", "g": "z + 3", "n": "g + 9", "t": "n + 9", "l": "q + 10", "i": "l + 7", "r": "i + 2", "h": "r + 2", "c": "h + 14", "v": "c + 15", "q": 20}, "premises": {"q": 20}, "target": "t"}, "answer": {"steps": [["n", "g + 9", "g + 18"], ["g", "z + 3", "z + 21"], ["z", "b + 8", "b + 29"], ["b", "d + 19", "d + 48"], ["d", "q + 17", "q + 65"], ["q", 20, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"q": 20}, "is_reverse": true}}
| 342
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = l + 7; z = b + 8; l = q + 10; c = h + 14; g = z + 3; h = r + 2; d = q + 17; q = 20; v = c + 15; r = i + 2; t = n + 9; n = g + 9; b = d + 19. Given that q = 20, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 9 to t, which gives t = g + 18.\n2. Substitute g = z + 3 to t, which gives t = z + 21.\n3. Substitute z = b + 8 to t, which gives t = b + 29.\n4. Substitute b = d + 19 to t, which gives t = d + 48.\n5. Substitute d = q + 17 to t, which gives t = q + 65.\n6. Substitute q = 20 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 342,
"question": "Suppose a collection of variables is related by the following definitions: i = l + 7; z = b + 8; l = q + 10; c = h + 14; g = z + 3; h = r + 2; d = q + 17; q = 20; v = c + 15; r = i + 2; t = n + 9; n = g + 9; b = d + 19. Given that q = 20, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 14", "h": "u + 8", "g": "h + 13", "m": "g + 7", "x": "m + 16", "q": "x + 5", "b": "o + 20", "c": "b + 2", "s": "c + 1", "d": "s + 1", "p": "d + 8", "r": "p + 13", "o": 2}, "premises": {"o": 2}, "target": "q"}, "answer": {"steps": [["x", "m + 16", "m + 21"], ["m", "g + 7", "g + 28"], ["g", "h + 13", "h + 41"], ["h", "u + 8", "u + 49"], ["u", "o + 14", "o + 63"], ["o", 2, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"o": 2}, "is_reverse": true}}
| 343
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 5; r = p + 13; u = o + 14; b = o + 20; c = b + 2; x = m + 16; h = u + 8; s = c + 1; o = 2; g = h + 13; p = d + 8; m = g + 7; d = s + 1. If o = 2, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 16 to q, which gives q = m + 21.\n2. Substitute m = g + 7 to q, which gives q = g + 28.\n3. Substitute g = h + 13 to q, which gives q = h + 41.\n4. Substitute h = u + 8 to q, which gives q = u + 49.\n5. Substitute u = o + 14 to q, which gives q = o + 63.\n6. Substitute o = 2 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 343,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 5; r = p + 13; u = o + 14; b = o + 20; c = b + 2; x = m + 16; h = u + 8; s = c + 1; o = 2; g = h + 13; p = d + 8; m = g + 7; d = s + 1. If o = 2, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 17", "r": "c + 3", "g": "r + 10", "o": "g + 4", "a": "o + 12", "b": "a + 18", "l": "d + 12", "p": "l + 16", "j": "p + 2", "u": "j + 10", "k": "u + 14", "n": "k + 12", "d": 6}, "premises": {"d": 6}, "target": "b"}, "answer": {"steps": [["a", "o + 12", "o + 30"], ["o", "g + 4", "g + 34"], ["g", "r + 10", "r + 44"], ["r", "c + 3", "c + 47"], ["c", "d + 17", "d + 64"], ["d", 6, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"d": 6}, "is_reverse": true}}
| 344
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 3; b = a + 18; d = 6; n = k + 12; g = r + 10; a = o + 12; p = l + 16; c = d + 17; j = p + 2; o = g + 4; l = d + 12; u = j + 10; k = u + 14. If d = 6, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 12 to b, which gives b = o + 30.\n2. Substitute o = g + 4 to b, which gives b = g + 34.\n3. Substitute g = r + 10 to b, which gives b = r + 44.\n4. Substitute r = c + 3 to b, which gives b = c + 47.\n5. Substitute c = d + 17 to b, which gives b = d + 64.\n6. Substitute d = 6 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 344,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 3; b = a + 18; d = 6; n = k + 12; g = r + 10; a = o + 12; p = l + 16; c = d + 17; j = p + 2; o = g + 4; l = d + 12; u = j + 10; k = u + 14. If d = 6, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 1", "t": "a + 15", "x": "t + 16", "m": "x + 4", "c": "m + 7", "p": "c + 19", "f": "h + 6", "e": "f + 16", "r": "e + 2", "w": "r + 17", "l": "w + 6", "j": "l + 19", "h": 7}, "premises": {"h": 7}, "target": "p"}, "answer": {"steps": [["c", "m + 7", "m + 26"], ["m", "x + 4", "x + 30"], ["x", "t + 16", "t + 46"], ["t", "a + 15", "a + 61"], ["a", "h + 1", "h + 62"], ["h", 7, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"h": 7}, "is_reverse": true}}
| 345
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 16; p = c + 19; w = r + 17; l = w + 6; j = l + 19; h = 7; m = x + 4; t = a + 15; f = h + 6; r = e + 2; c = m + 7; x = t + 16; a = h + 1. Given that h = 7, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 7 to p, which gives p = m + 26.\n2. Substitute m = x + 4 to p, which gives p = x + 30.\n3. Substitute x = t + 16 to p, which gives p = t + 46.\n4. Substitute t = a + 15 to p, which gives p = a + 61.\n5. Substitute a = h + 1 to p, which gives p = h + 62.\n6. Substitute h = 7 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 345,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 16; p = c + 19; w = r + 17; l = w + 6; j = l + 19; h = 7; m = x + 4; t = a + 15; f = h + 6; r = e + 2; c = m + 7; x = t + 16; a = h + 1. Given that h = 7, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 15", "i": "x + 11", "k": "i + 1", "l": "k + 5", "a": "l + 14", "e": "a + 20", "z": "f + 16", "b": "z + 4", "u": "b + 15", "m": "u + 7", "o": "m + 19", "w": "o + 19", "f": 20}, "premises": {"f": 20}, "target": "e"}, "answer": {"steps": [["a", "l + 14", "l + 34"], ["l", "k + 5", "k + 39"], ["k", "i + 1", "i + 40"], ["i", "x + 11", "x + 51"], ["x", "f + 15", "f + 66"], ["f", 20, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"f": 20}, "is_reverse": true}}
| 346
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 16; i = x + 11; x = f + 15; e = a + 20; m = u + 7; l = k + 5; k = i + 1; u = b + 15; b = z + 4; f = 20; o = m + 19; a = l + 14; w = o + 19. If f = 20, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 14 to e, which gives e = l + 34.\n2. Substitute l = k + 5 to e, which gives e = k + 39.\n3. Substitute k = i + 1 to e, which gives e = i + 40.\n4. Substitute i = x + 11 to e, which gives e = x + 51.\n5. Substitute x = f + 15 to e, which gives e = f + 66.\n6. Substitute f = 20 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 346,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 16; i = x + 11; x = f + 15; e = a + 20; m = u + 7; l = k + 5; k = i + 1; u = b + 15; b = z + 4; f = 20; o = m + 19; a = l + 14; w = o + 19. If f = 20, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 3", "y": "g + 16", "a": "y + 6", "r": "a + 3", "b": "r + 10", "z": "b + 19", "o": "u + 16", "j": "o + 7", "x": "j + 1", "v": "x + 7", "s": "v + 13", "l": "s + 10", "u": 4}, "premises": {"u": 4}, "target": "z"}, "answer": {"steps": [["b", "r + 10", "r + 29"], ["r", "a + 3", "a + 32"], ["a", "y + 6", "y + 38"], ["y", "g + 16", "g + 54"], ["g", "u + 3", "u + 57"], ["u", 4, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"u": 4}, "is_reverse": true}}
| 347
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 3; x = j + 1; b = r + 10; z = b + 19; j = o + 7; g = u + 3; o = u + 16; v = x + 7; l = s + 10; s = v + 13; y = g + 16; u = 4; a = y + 6. If u = 4, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 10 to z, which gives z = r + 29.\n2. Substitute r = a + 3 to z, which gives z = a + 32.\n3. Substitute a = y + 6 to z, which gives z = y + 38.\n4. Substitute y = g + 16 to z, which gives z = g + 54.\n5. Substitute g = u + 3 to z, which gives z = u + 57.\n6. Substitute u = 4 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 347,
"question": "Consider a system of variables where each variable is defined as follows: r = a + 3; x = j + 1; b = r + 10; z = b + 19; j = o + 7; g = u + 3; o = u + 16; v = x + 7; l = s + 10; s = v + 13; y = g + 16; u = 4; a = y + 6. If u = 4, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 15", "u": "m + 1", "w": "u + 11", "v": "w + 11", "o": "v + 18", "y": "o + 13", "t": "b + 4", "k": "t + 3", "f": "k + 9", "z": "f + 4", "a": "z + 4", "e": "a + 4", "b": 6}, "premises": {"b": 6}, "target": "y"}, "answer": {"steps": [["o", "v + 18", "v + 31"], ["v", "w + 11", "w + 42"], ["w", "u + 11", "u + 53"], ["u", "m + 1", "m + 54"], ["m", "b + 15", "b + 69"], ["b", 6, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"b": 6}, "is_reverse": true}}
| 348
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 18; a = z + 4; z = f + 4; w = u + 11; v = w + 11; t = b + 4; b = 6; f = k + 9; m = b + 15; e = a + 4; u = m + 1; k = t + 3; y = o + 13. If b = 6, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 18 to y, which gives y = v + 31.\n2. Substitute v = w + 11 to y, which gives y = w + 42.\n3. Substitute w = u + 11 to y, which gives y = u + 53.\n4. Substitute u = m + 1 to y, which gives y = m + 54.\n5. Substitute m = b + 15 to y, which gives y = b + 69.\n6. Substitute b = 6 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 348,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 18; a = z + 4; z = f + 4; w = u + 11; v = w + 11; t = b + 4; b = 6; f = k + 9; m = b + 15; e = a + 4; u = m + 1; k = t + 3; y = o + 13. If b = 6, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 3", "k": "g + 14", "q": "k + 2", "l": "q + 4", "m": "l + 1", "o": "m + 4", "y": "z + 6", "b": "y + 1", "v": "b + 11", "s": "v + 9", "n": "s + 1", "r": "n + 8", "z": 1}, "premises": {"z": 1}, "target": "o"}, "answer": {"steps": [["m", "l + 1", "l + 5"], ["l", "q + 4", "q + 9"], ["q", "k + 2", "k + 11"], ["k", "g + 14", "g + 25"], ["g", "z + 3", "z + 28"], ["z", 1, "29"]], "target_var_name": "o", "target_value": 29, "value_dict": {"z": 1}, "is_reverse": true}}
| 349
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 1; s = v + 9; r = n + 8; z = 1; m = l + 1; y = z + 6; q = k + 2; g = z + 3; o = m + 4; l = q + 4; v = b + 11; k = g + 14; n = s + 1. If z = 1, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 29,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 1 to o, which gives o = l + 5.\n2. Substitute l = q + 4 to o, which gives o = q + 9.\n3. Substitute q = k + 2 to o, which gives o = k + 11.\n4. Substitute k = g + 14 to o, which gives o = g + 25.\n5. Substitute g = z + 3 to o, which gives o = z + 28.\n6. Substitute z = 1 to o, which gives o = 29.\n\nThus, the final answer is o = \\boxed{29}.",
"index": 349,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 1; s = v + 9; r = n + 8; z = 1; m = l + 1; y = z + 6; q = k + 2; g = z + 3; o = m + 4; l = q + 4; v = b + 11; k = g + 14; n = s + 1. If z = 1, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"t": "o + 1", "y": "t + 1", "q": "y + 19", "w": "q + 15", "m": "w + 18", "u": "m + 6", "j": "o + 8", "x": "j + 10", "i": "x + 6", "k": "i + 10", "c": "k + 15", "n": "c + 5", "o": 14}, "premises": {"o": 14}, "target": "u"}, "answer": {"steps": [["m", "w + 18", "w + 24"], ["w", "q + 15", "q + 39"], ["q", "y + 19", "y + 58"], ["y", "t + 1", "t + 59"], ["t", "o + 1", "o + 60"], ["o", 14, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"o": 14}, "is_reverse": true}}
| 350
| 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 + 18; j = o + 8; x = j + 10; q = y + 19; k = i + 10; n = c + 5; w = q + 15; t = o + 1; c = k + 15; i = x + 6; o = 14; u = m + 6; y = t + 1. If o = 14, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 18 to u, which gives u = w + 24.\n2. Substitute w = q + 15 to u, which gives u = q + 39.\n3. Substitute q = y + 19 to u, which gives u = y + 58.\n4. Substitute y = t + 1 to u, which gives u = t + 59.\n5. Substitute t = o + 1 to u, which gives u = o + 60.\n6. Substitute o = 14 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 350,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 18; j = o + 8; x = j + 10; q = y + 19; k = i + 10; n = c + 5; w = q + 15; t = o + 1; c = k + 15; i = x + 6; o = 14; u = m + 6; y = t + 1. If o = 14, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 20", "h": "x + 10", "f": "h + 1", "e": "f + 8", "v": "e + 18", "w": "v + 6", "p": "m + 9", "l": "p + 20", "s": "l + 17", "r": "s + 7", "z": "r + 9", "k": "z + 6", "m": 3}, "premises": {"m": 3}, "target": "w"}, "answer": {"steps": [["v", "e + 18", "e + 24"], ["e", "f + 8", "f + 32"], ["f", "h + 1", "h + 33"], ["h", "x + 10", "x + 43"], ["x", "m + 20", "m + 63"], ["m", 3, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"m": 3}, "is_reverse": true}}
| 351
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = m + 20; l = p + 20; e = f + 8; v = e + 18; k = z + 6; w = v + 6; r = s + 7; h = x + 10; s = l + 17; p = m + 9; f = h + 1; z = r + 9; m = 3. If m = 3, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 18 to w, which gives w = e + 24.\n2. Substitute e = f + 8 to w, which gives w = f + 32.\n3. Substitute f = h + 1 to w, which gives w = h + 33.\n4. Substitute h = x + 10 to w, which gives w = x + 43.\n5. Substitute x = m + 20 to w, which gives w = m + 63.\n6. Substitute m = 3 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 351,
"question": "Consider a system of variables where each variable is defined as follows: x = m + 20; l = p + 20; e = f + 8; v = e + 18; k = z + 6; w = v + 6; r = s + 7; h = x + 10; s = l + 17; p = m + 9; f = h + 1; z = r + 9; m = 3. If m = 3, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 19", "u": "a + 13", "g": "u + 10", "y": "g + 1", "h": "y + 1", "r": "h + 2", "o": "w + 20", "e": "o + 18", "d": "e + 13", "p": "d + 19", "x": "p + 12", "n": "x + 19", "w": 14}, "premises": {"w": 14}, "target": "r"}, "answer": {"steps": [["h", "y + 1", "y + 3"], ["y", "g + 1", "g + 4"], ["g", "u + 10", "u + 14"], ["u", "a + 13", "a + 27"], ["a", "w + 19", "w + 46"], ["w", 14, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"w": 14}, "is_reverse": true}}
| 352
| 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 = p + 12; e = o + 18; w = 14; r = h + 2; p = d + 19; a = w + 19; h = y + 1; n = x + 19; y = g + 1; u = a + 13; g = u + 10; o = w + 20; d = e + 13. If w = 14, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 1 to r, which gives r = y + 3.\n2. Substitute y = g + 1 to r, which gives r = g + 4.\n3. Substitute g = u + 10 to r, which gives r = u + 14.\n4. Substitute u = a + 13 to r, which gives r = a + 27.\n5. Substitute a = w + 19 to r, which gives r = w + 46.\n6. Substitute w = 14 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 352,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 12; e = o + 18; w = 14; r = h + 2; p = d + 19; a = w + 19; h = y + 1; n = x + 19; y = g + 1; u = a + 13; g = u + 10; o = w + 20; d = e + 13. If w = 14, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 14", "e": "h + 6", "f": "e + 1", "v": "f + 10", "b": "v + 20", "g": "b + 12", "i": "c + 18", "q": "i + 4", "o": "q + 9", "j": "o + 20", "d": "j + 17", "s": "d + 3", "c": 18}, "premises": {"c": 18}, "target": "g"}, "answer": {"steps": [["b", "v + 20", "v + 32"], ["v", "f + 10", "f + 42"], ["f", "e + 1", "e + 43"], ["e", "h + 6", "h + 49"], ["h", "c + 14", "c + 63"], ["c", 18, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"c": 18}, "is_reverse": true}}
| 353
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 14; v = f + 10; q = i + 4; e = h + 6; s = d + 3; o = q + 9; j = o + 20; g = b + 12; i = c + 18; c = 18; f = e + 1; d = j + 17; b = v + 20. If c = 18, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 20 to g, which gives g = v + 32.\n2. Substitute v = f + 10 to g, which gives g = f + 42.\n3. Substitute f = e + 1 to g, which gives g = e + 43.\n4. Substitute e = h + 6 to g, which gives g = h + 49.\n5. Substitute h = c + 14 to g, which gives g = c + 63.\n6. Substitute c = 18 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 353,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 14; v = f + 10; q = i + 4; e = h + 6; s = d + 3; o = q + 9; j = o + 20; g = b + 12; i = c + 18; c = 18; f = e + 1; d = j + 17; b = v + 20. If c = 18, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 2", "n": "z + 11", "d": "n + 18", "s": "d + 13", "v": "s + 20", "o": "v + 11", "i": "p + 13", "m": "i + 6", "w": "m + 7", "y": "w + 6", "r": "y + 3", "g": "r + 11", "p": 3}, "premises": {"p": 3}, "target": "o"}, "answer": {"steps": [["v", "s + 20", "s + 31"], ["s", "d + 13", "d + 44"], ["d", "n + 18", "n + 62"], ["n", "z + 11", "z + 73"], ["z", "p + 2", "p + 75"], ["p", 3, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"p": 3}, "is_reverse": true}}
| 354
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 18; n = z + 11; g = r + 11; v = s + 20; o = v + 11; y = w + 6; z = p + 2; w = m + 7; r = y + 3; i = p + 13; p = 3; s = d + 13; m = i + 6. If p = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 20 to o, which gives o = s + 31.\n2. Substitute s = d + 13 to o, which gives o = d + 44.\n3. Substitute d = n + 18 to o, which gives o = n + 62.\n4. Substitute n = z + 11 to o, which gives o = z + 73.\n5. Substitute z = p + 2 to o, which gives o = p + 75.\n6. Substitute p = 3 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 354,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 18; n = z + 11; g = r + 11; v = s + 20; o = v + 11; y = w + 6; z = p + 2; w = m + 7; r = y + 3; i = p + 13; p = 3; s = d + 13; m = i + 6. If p = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 9", "h": "p + 15", "w": "h + 4", "e": "w + 12", "s": "e + 3", "n": "s + 20", "q": "m + 4", "u": "q + 1", "v": "u + 8", "f": "v + 17", "j": "f + 3", "r": "j + 20", "m": 5}, "premises": {"m": 5}, "target": "n"}, "answer": {"steps": [["s", "e + 3", "e + 23"], ["e", "w + 12", "w + 35"], ["w", "h + 4", "h + 39"], ["h", "p + 15", "p + 54"], ["p", "m + 9", "m + 63"], ["m", 5, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"m": 5}, "is_reverse": true}}
| 355
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 3; v = u + 8; w = h + 4; s = e + 3; r = j + 20; f = v + 17; p = m + 9; h = p + 15; u = q + 1; q = m + 4; e = w + 12; m = 5; n = s + 20. If m = 5, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 3 to n, which gives n = e + 23.\n2. Substitute e = w + 12 to n, which gives n = w + 35.\n3. Substitute w = h + 4 to n, which gives n = h + 39.\n4. Substitute h = p + 15 to n, which gives n = p + 54.\n5. Substitute p = m + 9 to n, which gives n = m + 63.\n6. Substitute m = 5 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 355,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 3; v = u + 8; w = h + 4; s = e + 3; r = j + 20; f = v + 17; p = m + 9; h = p + 15; u = q + 1; q = m + 4; e = w + 12; m = 5; n = s + 20. If m = 5, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 3", "b": "k + 19", "m": "b + 18", "s": "m + 18", "r": "s + 5", "u": "r + 2", "v": "n + 9", "f": "v + 19", "t": "f + 18", "d": "t + 5", "o": "d + 6", "h": "o + 10", "n": 4}, "premises": {"n": 4}, "target": "u"}, "answer": {"steps": [["r", "s + 5", "s + 7"], ["s", "m + 18", "m + 25"], ["m", "b + 18", "b + 43"], ["b", "k + 19", "k + 62"], ["k", "n + 3", "n + 65"], ["n", 4, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"n": 4}, "is_reverse": true}}
| 356
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 19; r = s + 5; t = f + 18; h = o + 10; f = v + 19; u = r + 2; k = n + 3; n = 4; v = n + 9; o = d + 6; s = m + 18; m = b + 18; d = t + 5. If n = 4, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 5 to u, which gives u = s + 7.\n2. Substitute s = m + 18 to u, which gives u = m + 25.\n3. Substitute m = b + 18 to u, which gives u = b + 43.\n4. Substitute b = k + 19 to u, which gives u = k + 62.\n5. Substitute k = n + 3 to u, which gives u = n + 65.\n6. Substitute n = 4 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = k + 19; r = s + 5; t = f + 18; h = o + 10; f = v + 19; u = r + 2; k = n + 3; n = 4; v = n + 9; o = d + 6; s = m + 18; m = b + 18; d = t + 5. If n = 4, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 1", "b": "u + 17", "w": "b + 5", "y": "w + 11", "z": "y + 2", "a": "z + 4", "j": "i + 9", "g": "j + 6", "h": "g + 14", "c": "h + 19", "d": "c + 11", "r": "d + 4", "i": 19}, "premises": {"i": 19}, "target": "a"}, "answer": {"steps": [["z", "y + 2", "y + 6"], ["y", "w + 11", "w + 17"], ["w", "b + 5", "b + 22"], ["b", "u + 17", "u + 39"], ["u", "i + 1", "i + 40"], ["i", 19, "59"]], "target_var_name": "a", "target_value": 59, "value_dict": {"i": 19}, "is_reverse": true}}
| 357
| 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 = b + 5; a = z + 4; h = g + 14; c = h + 19; i = 19; b = u + 17; d = c + 11; u = i + 1; y = w + 11; r = d + 4; j = i + 9; g = j + 6; z = y + 2. If i = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 2 to a, which gives a = y + 6.\n2. Substitute y = w + 11 to a, which gives a = w + 17.\n3. Substitute w = b + 5 to a, which gives a = b + 22.\n4. Substitute b = u + 17 to a, which gives a = u + 39.\n5. Substitute u = i + 1 to a, which gives a = i + 40.\n6. Substitute i = 19 to a, which gives a = 59.\n\nThus, the final answer is a = \\boxed{59}.",
"index": 357,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 5; a = z + 4; h = g + 14; c = h + 19; i = 19; b = u + 17; d = c + 11; u = i + 1; y = w + 11; r = d + 4; j = i + 9; g = j + 6; z = y + 2. If i = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 16", "o": "a + 14", "n": "o + 6", "v": "n + 10", "g": "v + 20", "w": "g + 17", "u": "m + 15", "i": "u + 11", "l": "i + 12", "x": "l + 14", "y": "x + 3", "q": "y + 2", "m": 15}, "premises": {"m": 15}, "target": "w"}, "answer": {"steps": [["g", "v + 20", "v + 37"], ["v", "n + 10", "n + 47"], ["n", "o + 6", "o + 53"], ["o", "a + 14", "a + 67"], ["a", "m + 16", "m + 83"], ["m", 15, "98"]], "target_var_name": "w", "target_value": 98, "value_dict": {"m": 15}, "is_reverse": true}}
| 358
| 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 = 15; o = a + 14; w = g + 17; l = i + 12; g = v + 20; q = y + 2; v = n + 10; a = m + 16; i = u + 11; y = x + 3; u = m + 15; x = l + 14; n = o + 6. If m = 15, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 20 to w, which gives w = v + 37.\n2. Substitute v = n + 10 to w, which gives w = n + 47.\n3. Substitute n = o + 6 to w, which gives w = o + 53.\n4. Substitute o = a + 14 to w, which gives w = a + 67.\n5. Substitute a = m + 16 to w, which gives w = m + 83.\n6. Substitute m = 15 to w, which gives w = 98.\n\nThus, the final answer is w = \\boxed{98}.",
"index": 358,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 15; o = a + 14; w = g + 17; l = i + 12; g = v + 20; q = y + 2; v = n + 10; a = m + 16; i = u + 11; y = x + 3; u = m + 15; x = l + 14; n = o + 6. If m = 15, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 15", "k": "a + 18", "g": "k + 5", "c": "g + 20", "f": "c + 7", "q": "f + 12", "x": "i + 1", "n": "x + 11", "w": "n + 2", "s": "w + 4", "j": "s + 17", "v": "j + 16", "i": 6}, "premises": {"i": 6}, "target": "q"}, "answer": {"steps": [["f", "c + 7", "c + 19"], ["c", "g + 20", "g + 39"], ["g", "k + 5", "k + 44"], ["k", "a + 18", "a + 62"], ["a", "i + 15", "i + 77"], ["i", 6, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"i": 6}, "is_reverse": true}}
| 359
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 18; a = i + 15; n = x + 11; i = 6; g = k + 5; c = g + 20; v = j + 16; j = s + 17; q = f + 12; w = n + 2; x = i + 1; f = c + 7; s = w + 4. Given that i = 6, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 7 to q, which gives q = c + 19.\n2. Substitute c = g + 20 to q, which gives q = g + 39.\n3. Substitute g = k + 5 to q, which gives q = k + 44.\n4. Substitute k = a + 18 to q, which gives q = a + 62.\n5. Substitute a = i + 15 to q, which gives q = i + 77.\n6. Substitute i = 6 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 359,
"question": "Suppose a collection of variables is related by the following definitions: k = a + 18; a = i + 15; n = x + 11; i = 6; g = k + 5; c = g + 20; v = j + 16; j = s + 17; q = f + 12; w = n + 2; x = i + 1; f = c + 7; s = w + 4. Given that i = 6, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 17", "r": "q + 16", "a": "r + 6", "z": "a + 11", "p": "z + 18", "c": "p + 8", "s": "f + 8", "n": "s + 9", "w": "n + 13", "i": "w + 18", "j": "i + 6", "u": "j + 13", "f": 8}, "premises": {"f": 8}, "target": "c"}, "answer": {"steps": [["p", "z + 18", "z + 26"], ["z", "a + 11", "a + 37"], ["a", "r + 6", "r + 43"], ["r", "q + 16", "q + 59"], ["q", "f + 17", "f + 76"], ["f", 8, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"f": 8}, "is_reverse": true}}
| 360
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 18; i = w + 18; j = i + 6; s = f + 8; r = q + 16; c = p + 8; w = n + 13; f = 8; n = s + 9; q = f + 17; z = a + 11; u = j + 13; a = r + 6. If f = 8, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 18 to c, which gives c = z + 26.\n2. Substitute z = a + 11 to c, which gives c = a + 37.\n3. Substitute a = r + 6 to c, which gives c = r + 43.\n4. Substitute r = q + 16 to c, which gives c = q + 59.\n5. Substitute q = f + 17 to c, which gives c = f + 76.\n6. Substitute f = 8 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 360,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 18; i = w + 18; j = i + 6; s = f + 8; r = q + 16; c = p + 8; w = n + 13; f = 8; n = s + 9; q = f + 17; z = a + 11; u = j + 13; a = r + 6. If f = 8, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"u": "w + 11", "x": "u + 1", "s": "x + 16", "t": "s + 19", "p": "t + 2", "r": "p + 18", "d": "w + 19", "f": "d + 4", "o": "f + 11", "c": "o + 6", "y": "c + 13", "v": "y + 11", "w": 19}, "premises": {"w": 19}, "target": "r"}, "answer": {"steps": [["p", "t + 2", "t + 20"], ["t", "s + 19", "s + 39"], ["s", "x + 16", "x + 55"], ["x", "u + 1", "u + 56"], ["u", "w + 11", "w + 67"], ["w", 19, "86"]], "target_var_name": "r", "target_value": 86, "value_dict": {"w": 19}, "is_reverse": true}}
| 361
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 11; r = p + 18; v = y + 11; p = t + 2; f = d + 4; s = x + 16; y = c + 13; o = f + 11; t = s + 19; x = u + 1; d = w + 19; c = o + 6; w = 19. If w = 19, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 2 to r, which gives r = t + 20.\n2. Substitute t = s + 19 to r, which gives r = s + 39.\n3. Substitute s = x + 16 to r, which gives r = x + 55.\n4. Substitute x = u + 1 to r, which gives r = u + 56.\n5. Substitute u = w + 11 to r, which gives r = w + 67.\n6. Substitute w = 19 to r, which gives r = 86.\n\nThus, the final answer is r = \\boxed{86}.",
"index": 361,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 11; r = p + 18; v = y + 11; p = t + 2; f = d + 4; s = x + 16; y = c + 13; o = f + 11; t = s + 19; x = u + 1; d = w + 19; c = o + 6; w = 19. If w = 19, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 18", "m": "q + 10", "d": "m + 3", "h": "d + 5", "v": "h + 9", "n": "v + 18", "f": "g + 2", "i": "f + 12", "a": "i + 8", "l": "a + 5", "z": "l + 8", "k": "z + 17", "g": 3}, "premises": {"g": 3}, "target": "n"}, "answer": {"steps": [["v", "h + 9", "h + 27"], ["h", "d + 5", "d + 32"], ["d", "m + 3", "m + 35"], ["m", "q + 10", "q + 45"], ["q", "g + 18", "g + 63"], ["g", 3, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"g": 3}, "is_reverse": true}}
| 362
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 5; f = g + 2; k = z + 17; q = g + 18; l = a + 5; a = i + 8; z = l + 8; i = f + 12; n = v + 18; v = h + 9; g = 3; m = q + 10; d = m + 3. If g = 3, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 9 to n, which gives n = h + 27.\n2. Substitute h = d + 5 to n, which gives n = d + 32.\n3. Substitute d = m + 3 to n, which gives n = m + 35.\n4. Substitute m = q + 10 to n, which gives n = q + 45.\n5. Substitute q = g + 18 to n, which gives n = g + 63.\n6. Substitute g = 3 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 362,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 5; f = g + 2; k = z + 17; q = g + 18; l = a + 5; a = i + 8; z = l + 8; i = f + 12; n = v + 18; v = h + 9; g = 3; m = q + 10; d = m + 3. If g = 3, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 9", "a": "r + 8", "p": "a + 17", "q": "p + 15", "o": "q + 3", "d": "o + 15", "e": "v + 10", "c": "e + 3", "j": "c + 20", "x": "j + 10", "b": "x + 13", "m": "b + 4", "v": 18}, "premises": {"v": 18}, "target": "d"}, "answer": {"steps": [["o", "q + 3", "q + 18"], ["q", "p + 15", "p + 33"], ["p", "a + 17", "a + 50"], ["a", "r + 8", "r + 58"], ["r", "v + 9", "v + 67"], ["v", 18, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"v": 18}, "is_reverse": true}}
| 363
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 17; a = r + 8; e = v + 10; b = x + 13; c = e + 3; r = v + 9; x = j + 10; o = q + 3; q = p + 15; v = 18; j = c + 20; d = o + 15; m = b + 4. Given that v = 18, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 3 to d, which gives d = q + 18.\n2. Substitute q = p + 15 to d, which gives d = p + 33.\n3. Substitute p = a + 17 to d, which gives d = a + 50.\n4. Substitute a = r + 8 to d, which gives d = r + 58.\n5. Substitute r = v + 9 to d, which gives d = v + 67.\n6. Substitute v = 18 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 363,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 17; a = r + 8; e = v + 10; b = x + 13; c = e + 3; r = v + 9; x = j + 10; o = q + 3; q = p + 15; v = 18; j = c + 20; d = o + 15; m = b + 4. Given that v = 18, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 6", "s": "c + 15", "r": "s + 8", "a": "r + 15", "v": "a + 15", "y": "v + 6", "g": "l + 9", "p": "g + 3", "d": "p + 2", "w": "d + 6", "q": "w + 13", "h": "q + 7", "l": 11}, "premises": {"l": 11}, "target": "y"}, "answer": {"steps": [["v", "a + 15", "a + 21"], ["a", "r + 15", "r + 36"], ["r", "s + 8", "s + 44"], ["s", "c + 15", "c + 59"], ["c", "l + 6", "l + 65"], ["l", 11, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"l": 11}, "is_reverse": true}}
| 364
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 9; r = s + 8; w = d + 6; c = l + 6; v = a + 15; l = 11; s = c + 15; a = r + 15; p = g + 3; q = w + 13; d = p + 2; h = q + 7; y = v + 6. Given that l = 11, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 15 to y, which gives y = a + 21.\n2. Substitute a = r + 15 to y, which gives y = r + 36.\n3. Substitute r = s + 8 to y, which gives y = s + 44.\n4. Substitute s = c + 15 to y, which gives y = c + 59.\n5. Substitute c = l + 6 to y, which gives y = l + 65.\n6. Substitute l = 11 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 364,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 9; r = s + 8; w = d + 6; c = l + 6; v = a + 15; l = 11; s = c + 15; a = r + 15; p = g + 3; q = w + 13; d = p + 2; h = q + 7; y = v + 6. Given that l = 11, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 4", "k": "h + 11", "z": "k + 13", "m": "z + 5", "j": "m + 1", "p": "j + 15", "v": "w + 14", "f": "v + 11", "n": "f + 12", "s": "n + 19", "b": "s + 15", "l": "b + 4", "w": 14}, "premises": {"w": 14}, "target": "p"}, "answer": {"steps": [["j", "m + 1", "m + 16"], ["m", "z + 5", "z + 21"], ["z", "k + 13", "k + 34"], ["k", "h + 11", "h + 45"], ["h", "w + 4", "w + 49"], ["w", 14, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"w": 14}, "is_reverse": true}}
| 365
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 1; w = 14; n = f + 12; h = w + 4; k = h + 11; m = z + 5; f = v + 11; z = k + 13; l = b + 4; p = j + 15; b = s + 15; s = n + 19; v = w + 14. If w = 14, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 1 to p, which gives p = m + 16.\n2. Substitute m = z + 5 to p, which gives p = z + 21.\n3. Substitute z = k + 13 to p, which gives p = k + 34.\n4. Substitute k = h + 11 to p, which gives p = h + 45.\n5. Substitute h = w + 4 to p, which gives p = w + 49.\n6. Substitute w = 14 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 365,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 1; w = 14; n = f + 12; h = w + 4; k = h + 11; m = z + 5; f = v + 11; z = k + 13; l = b + 4; p = j + 15; b = s + 15; s = n + 19; v = w + 14. If w = 14, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 14", "x": "z + 15", "d": "x + 8", "q": "d + 11", "j": "q + 15", "e": "j + 2", "y": "b + 1", "i": "y + 19", "c": "i + 11", "u": "c + 1", "m": "u + 12", "o": "m + 3", "b": 20}, "premises": {"b": 20}, "target": "e"}, "answer": {"steps": [["j", "q + 15", "q + 17"], ["q", "d + 11", "d + 28"], ["d", "x + 8", "x + 36"], ["x", "z + 15", "z + 51"], ["z", "b + 14", "b + 65"], ["b", 20, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"b": 20}, "is_reverse": true}}
| 366
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 8; c = i + 11; o = m + 3; u = c + 1; i = y + 19; x = z + 15; y = b + 1; j = q + 15; b = 20; q = d + 11; z = b + 14; e = j + 2; m = u + 12. Given that b = 20, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 15 to e, which gives e = q + 17.\n2. Substitute q = d + 11 to e, which gives e = d + 28.\n3. Substitute d = x + 8 to e, which gives e = x + 36.\n4. Substitute x = z + 15 to e, which gives e = z + 51.\n5. Substitute z = b + 14 to e, which gives e = b + 65.\n6. Substitute b = 20 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 366,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 8; c = i + 11; o = m + 3; u = c + 1; i = y + 19; x = z + 15; y = b + 1; j = q + 15; b = 20; q = d + 11; z = b + 14; e = j + 2; m = u + 12. Given that b = 20, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "s + 17", "y": "f + 19", "h": "y + 20", "j": "h + 1", "n": "j + 9", "d": "n + 17", "a": "s + 12", "i": "a + 16", "g": "i + 15", "k": "g + 10", "r": "k + 19", "p": "r + 4", "s": 15}, "premises": {"s": 15}, "target": "d"}, "answer": {"steps": [["n", "j + 9", "j + 26"], ["j", "h + 1", "h + 27"], ["h", "y + 20", "y + 47"], ["y", "f + 19", "f + 66"], ["f", "s + 17", "s + 83"], ["s", 15, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"s": 15}, "is_reverse": true}}
| 367
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 15; k = g + 10; h = y + 20; g = i + 15; n = j + 9; r = k + 19; i = a + 16; p = r + 4; d = n + 17; j = h + 1; f = s + 17; a = s + 12; y = f + 19. Given that s = 15, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 9 to d, which gives d = j + 26.\n2. Substitute j = h + 1 to d, which gives d = h + 27.\n3. Substitute h = y + 20 to d, which gives d = y + 47.\n4. Substitute y = f + 19 to d, which gives d = f + 66.\n5. Substitute f = s + 17 to d, which gives d = s + 83.\n6. Substitute s = 15 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 367,
"question": "Suppose a collection of variables is related by the following definitions: s = 15; k = g + 10; h = y + 20; g = i + 15; n = j + 9; r = k + 19; i = a + 16; p = r + 4; d = n + 17; j = h + 1; f = s + 17; a = s + 12; y = f + 19. Given that s = 15, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 12", "m": "u + 18", "d": "m + 13", "p": "d + 3", "w": "p + 2", "v": "w + 5", "k": "g + 18", "o": "k + 9", "h": "o + 20", "j": "h + 18", "n": "j + 15", "b": "n + 17", "g": 15}, "premises": {"g": 15}, "target": "v"}, "answer": {"steps": [["w", "p + 2", "p + 7"], ["p", "d + 3", "d + 10"], ["d", "m + 13", "m + 23"], ["m", "u + 18", "u + 41"], ["u", "g + 12", "g + 53"], ["g", 15, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"g": 15}, "is_reverse": true}}
| 368
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 18; w = p + 2; p = d + 3; g = 15; k = g + 18; u = g + 12; h = o + 20; j = h + 18; o = k + 9; d = m + 13; n = j + 15; b = n + 17; v = w + 5. Given that g = 15, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 2 to v, which gives v = p + 7.\n2. Substitute p = d + 3 to v, which gives v = d + 10.\n3. Substitute d = m + 13 to v, which gives v = m + 23.\n4. Substitute m = u + 18 to v, which gives v = u + 41.\n5. Substitute u = g + 12 to v, which gives v = g + 53.\n6. Substitute g = 15 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 368,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 18; w = p + 2; p = d + 3; g = 15; k = g + 18; u = g + 12; h = o + 20; j = h + 18; o = k + 9; d = m + 13; n = j + 15; b = n + 17; v = w + 5. Given that g = 15, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 6", "y": "o + 18", "w": "y + 3", "s": "w + 7", "k": "s + 16", "q": "k + 5", "g": "p + 13", "h": "g + 13", "c": "h + 16", "f": "c + 10", "e": "f + 11", "i": "e + 4", "p": 7}, "premises": {"p": 7}, "target": "q"}, "answer": {"steps": [["k", "s + 16", "s + 21"], ["s", "w + 7", "w + 28"], ["w", "y + 3", "y + 31"], ["y", "o + 18", "o + 49"], ["o", "p + 6", "p + 55"], ["p", 7, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"p": 7}, "is_reverse": true}}
| 369
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 5; s = w + 7; c = h + 16; k = s + 16; y = o + 18; h = g + 13; i = e + 4; f = c + 10; e = f + 11; w = y + 3; g = p + 13; p = 7; o = p + 6. If p = 7, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 16 to q, which gives q = s + 21.\n2. Substitute s = w + 7 to q, which gives q = w + 28.\n3. Substitute w = y + 3 to q, which gives q = y + 31.\n4. Substitute y = o + 18 to q, which gives q = o + 49.\n5. Substitute o = p + 6 to q, which gives q = p + 55.\n6. Substitute p = 7 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 5; s = w + 7; c = h + 16; k = s + 16; y = o + 18; h = g + 13; i = e + 4; f = c + 10; e = f + 11; w = y + 3; g = p + 13; p = 7; o = p + 6. If p = 7, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 12", "g": "d + 11", "o": "g + 18", "r": "o + 6", "i": "r + 9", "f": "i + 9", "x": "n + 5", "e": "x + 13", "c": "e + 7", "b": "c + 2", "l": "b + 17", "j": "l + 2", "n": 8}, "premises": {"n": 8}, "target": "f"}, "answer": {"steps": [["i", "r + 9", "r + 18"], ["r", "o + 6", "o + 24"], ["o", "g + 18", "g + 42"], ["g", "d + 11", "d + 53"], ["d", "n + 12", "n + 65"], ["n", 8, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"n": 8}, "is_reverse": true}}
| 370
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = c + 2; x = n + 5; f = i + 9; i = r + 9; n = 8; o = g + 18; j = l + 2; g = d + 11; e = x + 13; d = n + 12; c = e + 7; r = o + 6; l = b + 17. Given that n = 8, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 9 to f, which gives f = r + 18.\n2. Substitute r = o + 6 to f, which gives f = o + 24.\n3. Substitute o = g + 18 to f, which gives f = g + 42.\n4. Substitute g = d + 11 to f, which gives f = d + 53.\n5. Substitute d = n + 12 to f, which gives f = n + 65.\n6. Substitute n = 8 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 370,
"question": "Suppose a collection of variables is related by the following definitions: b = c + 2; x = n + 5; f = i + 9; i = r + 9; n = 8; o = g + 18; j = l + 2; g = d + 11; e = x + 13; d = n + 12; c = e + 7; r = o + 6; l = b + 17. Given that n = 8, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 16", "g": "j + 3", "h": "g + 12", "x": "h + 6", "u": "x + 10", "q": "u + 5", "m": "v + 20", "k": "m + 15", "y": "k + 7", "z": "y + 15", "c": "z + 19", "o": "c + 18", "v": 9}, "premises": {"v": 9}, "target": "q"}, "answer": {"steps": [["u", "x + 10", "x + 15"], ["x", "h + 6", "h + 21"], ["h", "g + 12", "g + 33"], ["g", "j + 3", "j + 36"], ["j", "v + 16", "v + 52"], ["v", 9, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"v": 9}, "is_reverse": true}}
| 371
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 18; h = g + 12; x = h + 6; g = j + 3; m = v + 20; q = u + 5; k = m + 15; u = x + 10; c = z + 19; v = 9; j = v + 16; z = y + 15; y = k + 7. If v = 9, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 10 to q, which gives q = x + 15.\n2. Substitute x = h + 6 to q, which gives q = h + 21.\n3. Substitute h = g + 12 to q, which gives q = g + 33.\n4. Substitute g = j + 3 to q, which gives q = j + 36.\n5. Substitute j = v + 16 to q, which gives q = v + 52.\n6. Substitute v = 9 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 371,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 18; h = g + 12; x = h + 6; g = j + 3; m = v + 20; q = u + 5; k = m + 15; u = x + 10; c = z + 19; v = 9; j = v + 16; z = y + 15; y = k + 7. If v = 9, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 5", "s": "e + 16", "z": "s + 3", "n": "z + 8", "c": "n + 1", "p": "c + 8", "u": "l + 19", "i": "u + 13", "y": "i + 13", "d": "y + 17", "w": "d + 6", "b": "w + 18", "l": 5}, "premises": {"l": 5}, "target": "p"}, "answer": {"steps": [["c", "n + 1", "n + 9"], ["n", "z + 8", "z + 17"], ["z", "s + 3", "s + 20"], ["s", "e + 16", "e + 36"], ["e", "l + 5", "l + 41"], ["l", 5, "46"]], "target_var_name": "p", "target_value": 46, "value_dict": {"l": 5}, "is_reverse": true}}
| 372
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 13; l = 5; e = l + 5; c = n + 1; b = w + 18; p = c + 8; w = d + 6; n = z + 8; d = y + 17; u = l + 19; y = i + 13; s = e + 16; z = s + 3. Given that l = 5, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 1 to p, which gives p = n + 9.\n2. Substitute n = z + 8 to p, which gives p = z + 17.\n3. Substitute z = s + 3 to p, which gives p = s + 20.\n4. Substitute s = e + 16 to p, which gives p = e + 36.\n5. Substitute e = l + 5 to p, which gives p = l + 41.\n6. Substitute l = 5 to p, which gives p = 46.\n\nThus, the final answer is p = \\boxed{46}.",
"index": 372,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 13; l = 5; e = l + 5; c = n + 1; b = w + 18; p = c + 8; w = d + 6; n = z + 8; d = y + 17; u = l + 19; y = i + 13; s = e + 16; z = s + 3. Given that l = 5, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 1", "i": "m + 16", "r": "i + 13", "p": "r + 4", "q": "p + 18", "z": "q + 7", "e": "l + 8", "n": "e + 13", "y": "n + 11", "t": "y + 8", "x": "t + 10", "v": "x + 20", "l": 11}, "premises": {"l": 11}, "target": "z"}, "answer": {"steps": [["q", "p + 18", "p + 25"], ["p", "r + 4", "r + 29"], ["r", "i + 13", "i + 42"], ["i", "m + 16", "m + 58"], ["m", "l + 1", "l + 59"], ["l", 11, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"l": 11}, "is_reverse": true}}
| 373
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 20; l = 11; m = l + 1; z = q + 7; q = p + 18; n = e + 13; e = l + 8; r = i + 13; y = n + 11; i = m + 16; p = r + 4; t = y + 8; x = t + 10. If l = 11, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 18 to z, which gives z = p + 25.\n2. Substitute p = r + 4 to z, which gives z = r + 29.\n3. Substitute r = i + 13 to z, which gives z = i + 42.\n4. Substitute i = m + 16 to z, which gives z = m + 58.\n5. Substitute m = l + 1 to z, which gives z = l + 59.\n6. Substitute l = 11 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 373,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 20; l = 11; m = l + 1; z = q + 7; q = p + 18; n = e + 13; e = l + 8; r = i + 13; y = n + 11; i = m + 16; p = r + 4; t = y + 8; x = t + 10. If l = 11, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 16", "y": "u + 10", "t": "y + 5", "o": "t + 18", "x": "o + 8", "j": "x + 9", "n": "s + 2", "v": "n + 14", "z": "v + 12", "q": "z + 9", "i": "q + 2", "k": "i + 1", "s": 2}, "premises": {"s": 2}, "target": "j"}, "answer": {"steps": [["x", "o + 8", "o + 17"], ["o", "t + 18", "t + 35"], ["t", "y + 5", "y + 40"], ["y", "u + 10", "u + 50"], ["u", "s + 16", "s + 66"], ["s", 2, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"s": 2}, "is_reverse": true}}
| 374
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 16; x = o + 8; j = x + 9; n = s + 2; k = i + 1; v = n + 14; o = t + 18; z = v + 12; t = y + 5; q = z + 9; y = u + 10; i = q + 2; s = 2. If s = 2, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 8 to j, which gives j = o + 17.\n2. Substitute o = t + 18 to j, which gives j = t + 35.\n3. Substitute t = y + 5 to j, which gives j = y + 40.\n4. Substitute y = u + 10 to j, which gives j = u + 50.\n5. Substitute u = s + 16 to j, which gives j = s + 66.\n6. Substitute s = 2 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 16; x = o + 8; j = x + 9; n = s + 2; k = i + 1; v = n + 14; o = t + 18; z = v + 12; t = y + 5; q = z + 9; y = u + 10; i = q + 2; s = 2. If s = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 19", "i": "s + 1", "g": "i + 5", "n": "g + 13", "x": "n + 2", "h": "x + 6", "j": "a + 1", "m": "j + 9", "v": "m + 11", "l": "v + 19", "b": "l + 11", "z": "b + 2", "a": 16}, "premises": {"a": 16}, "target": "h"}, "answer": {"steps": [["x", "n + 2", "n + 8"], ["n", "g + 13", "g + 21"], ["g", "i + 5", "i + 26"], ["i", "s + 1", "s + 27"], ["s", "a + 19", "a + 46"], ["a", 16, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"a": 16}, "is_reverse": true}}
| 375
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 2; v = m + 11; b = l + 11; n = g + 13; i = s + 1; l = v + 19; g = i + 5; x = n + 2; a = 16; h = x + 6; j = a + 1; s = a + 19; m = j + 9. Given that a = 16, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 2 to h, which gives h = n + 8.\n2. Substitute n = g + 13 to h, which gives h = g + 21.\n3. Substitute g = i + 5 to h, which gives h = i + 26.\n4. Substitute i = s + 1 to h, which gives h = s + 27.\n5. Substitute s = a + 19 to h, which gives h = a + 46.\n6. Substitute a = 16 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 375,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 2; v = m + 11; b = l + 11; n = g + 13; i = s + 1; l = v + 19; g = i + 5; x = n + 2; a = 16; h = x + 6; j = a + 1; s = a + 19; m = j + 9. Given that a = 16, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 13", "m": "f + 11", "o": "m + 2", "j": "o + 17", "t": "j + 12", "d": "t + 19", "a": "e + 18", "b": "a + 11", "c": "b + 6", "q": "c + 14", "r": "q + 17", "k": "r + 14", "e": 12}, "premises": {"e": 12}, "target": "d"}, "answer": {"steps": [["t", "j + 12", "j + 31"], ["j", "o + 17", "o + 48"], ["o", "m + 2", "m + 50"], ["m", "f + 11", "f + 61"], ["f", "e + 13", "e + 74"], ["e", 12, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"e": 12}, "is_reverse": true}}
| 376
| 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 + 18; t = j + 12; c = b + 6; f = e + 13; q = c + 14; b = a + 11; j = o + 17; k = r + 14; o = m + 2; d = t + 19; r = q + 17; e = 12; m = f + 11. If e = 12, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 12 to d, which gives d = j + 31.\n2. Substitute j = o + 17 to d, which gives d = o + 48.\n3. Substitute o = m + 2 to d, which gives d = m + 50.\n4. Substitute m = f + 11 to d, which gives d = f + 61.\n5. Substitute f = e + 13 to d, which gives d = e + 74.\n6. Substitute e = 12 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 376,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 18; t = j + 12; c = b + 6; f = e + 13; q = c + 14; b = a + 11; j = o + 17; k = r + 14; o = m + 2; d = t + 19; r = q + 17; e = 12; m = f + 11. If e = 12, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"u": "l + 16", "m": "u + 19", "r": "m + 7", "e": "r + 18", "a": "e + 7", "w": "a + 20", "c": "l + 12", "i": "c + 5", "b": "i + 10", "o": "b + 7", "t": "o + 9", "y": "t + 1", "l": 14}, "premises": {"l": 14}, "target": "w"}, "answer": {"steps": [["a", "e + 7", "e + 27"], ["e", "r + 18", "r + 45"], ["r", "m + 7", "m + 52"], ["m", "u + 19", "u + 71"], ["u", "l + 16", "l + 87"], ["l", 14, "101"]], "target_var_name": "w", "target_value": 101, "value_dict": {"l": 14}, "is_reverse": true}}
| 377
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 5; b = i + 10; y = t + 1; u = l + 16; e = r + 18; l = 14; w = a + 20; a = e + 7; m = u + 19; o = b + 7; c = l + 12; t = o + 9; r = m + 7. Given that l = 14, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 7 to w, which gives w = e + 27.\n2. Substitute e = r + 18 to w, which gives w = r + 45.\n3. Substitute r = m + 7 to w, which gives w = m + 52.\n4. Substitute m = u + 19 to w, which gives w = u + 71.\n5. Substitute u = l + 16 to w, which gives w = l + 87.\n6. Substitute l = 14 to w, which gives w = 101.\n\nThus, the final answer is w = \\boxed{101}.",
"index": 377,
"question": "Suppose a collection of variables is related by the following definitions: i = c + 5; b = i + 10; y = t + 1; u = l + 16; e = r + 18; l = 14; w = a + 20; a = e + 7; m = u + 19; o = b + 7; c = l + 12; t = o + 9; r = m + 7. Given that l = 14, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 12", "y": "q + 2", "r": "y + 5", "a": "r + 3", "u": "a + 20", "w": "u + 20", "t": "z + 13", "v": "t + 19", "x": "v + 10", "p": "x + 19", "o": "p + 1", "s": "o + 12", "z": 16}, "premises": {"z": 16}, "target": "w"}, "answer": {"steps": [["u", "a + 20", "a + 40"], ["a", "r + 3", "r + 43"], ["r", "y + 5", "y + 48"], ["y", "q + 2", "q + 50"], ["q", "z + 12", "z + 62"], ["z", 16, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"z": 16}, "is_reverse": true}}
| 378
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 5; x = v + 10; u = a + 20; s = o + 12; v = t + 19; q = z + 12; z = 16; y = q + 2; p = x + 19; w = u + 20; o = p + 1; t = z + 13; a = r + 3. If z = 16, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 20 to w, which gives w = a + 40.\n2. Substitute a = r + 3 to w, which gives w = r + 43.\n3. Substitute r = y + 5 to w, which gives w = y + 48.\n4. Substitute y = q + 2 to w, which gives w = q + 50.\n5. Substitute q = z + 12 to w, which gives w = z + 62.\n6. Substitute z = 16 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 378,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 5; x = v + 10; u = a + 20; s = o + 12; v = t + 19; q = z + 12; z = 16; y = q + 2; p = x + 19; w = u + 20; o = p + 1; t = z + 13; a = r + 3. If z = 16, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 20", "v": "u + 17", "b": "v + 2", "r": "b + 8", "p": "r + 18", "w": "p + 20", "l": "h + 13", "n": "l + 2", "k": "n + 6", "i": "k + 13", "d": "i + 9", "q": "d + 19", "h": 1}, "premises": {"h": 1}, "target": "w"}, "answer": {"steps": [["p", "r + 18", "r + 38"], ["r", "b + 8", "b + 46"], ["b", "v + 2", "v + 48"], ["v", "u + 17", "u + 65"], ["u", "h + 20", "h + 85"], ["h", 1, "86"]], "target_var_name": "w", "target_value": 86, "value_dict": {"h": 1}, "is_reverse": true}}
| 379
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = b + 8; u = h + 20; h = 1; p = r + 18; w = p + 20; i = k + 13; d = i + 9; b = v + 2; v = u + 17; k = n + 6; q = d + 19; l = h + 13; n = l + 2. If h = 1, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 18 to w, which gives w = r + 38.\n2. Substitute r = b + 8 to w, which gives w = b + 46.\n3. Substitute b = v + 2 to w, which gives w = v + 48.\n4. Substitute v = u + 17 to w, which gives w = u + 65.\n5. Substitute u = h + 20 to w, which gives w = h + 85.\n6. Substitute h = 1 to w, which gives w = 86.\n\nThus, the final answer is w = \\boxed{86}.",
"index": 379,
"question": "Consider a system of variables where each variable is defined as follows: r = b + 8; u = h + 20; h = 1; p = r + 18; w = p + 20; i = k + 13; d = i + 9; b = v + 2; v = u + 17; k = n + 6; q = d + 19; l = h + 13; n = l + 2. If h = 1, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 12", "l": "y + 8", "w": "l + 8", "f": "w + 2", "i": "f + 16", "n": "i + 20", "s": "m + 20", "q": "s + 13", "o": "q + 6", "e": "o + 5", "v": "e + 3", "b": "v + 4", "m": 4}, "premises": {"m": 4}, "target": "n"}, "answer": {"steps": [["i", "f + 16", "f + 36"], ["f", "w + 2", "w + 38"], ["w", "l + 8", "l + 46"], ["l", "y + 8", "y + 54"], ["y", "m + 12", "m + 66"], ["m", 4, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"m": 4}, "is_reverse": true}}
| 380
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 3; y = m + 12; b = v + 4; o = q + 6; f = w + 2; w = l + 8; s = m + 20; m = 4; n = i + 20; l = y + 8; i = f + 16; q = s + 13; e = o + 5. If m = 4, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 16 to n, which gives n = f + 36.\n2. Substitute f = w + 2 to n, which gives n = w + 38.\n3. Substitute w = l + 8 to n, which gives n = l + 46.\n4. Substitute l = y + 8 to n, which gives n = y + 54.\n5. Substitute y = m + 12 to n, which gives n = m + 66.\n6. Substitute m = 4 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 380,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 3; y = m + 12; b = v + 4; o = q + 6; f = w + 2; w = l + 8; s = m + 20; m = 4; n = i + 20; l = y + 8; i = f + 16; q = s + 13; e = o + 5. If m = 4, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 15", "i": "c + 1", "f": "i + 1", "d": "f + 15", "k": "d + 20", "l": "k + 3", "r": "x + 1", "e": "r + 2", "y": "e + 16", "a": "y + 17", "s": "a + 9", "u": "s + 3", "x": 12}, "premises": {"x": 12}, "target": "l"}, "answer": {"steps": [["k", "d + 20", "d + 23"], ["d", "f + 15", "f + 38"], ["f", "i + 1", "i + 39"], ["i", "c + 1", "c + 40"], ["c", "x + 15", "x + 55"], ["x", 12, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"x": 12}, "is_reverse": true}}
| 381
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 15; a = y + 17; u = s + 3; k = d + 20; s = a + 9; i = c + 1; l = k + 3; r = x + 1; f = i + 1; x = 12; e = r + 2; c = x + 15; y = e + 16. If x = 12, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 20 to l, which gives l = d + 23.\n2. Substitute d = f + 15 to l, which gives l = f + 38.\n3. Substitute f = i + 1 to l, which gives l = i + 39.\n4. Substitute i = c + 1 to l, which gives l = c + 40.\n5. Substitute c = x + 15 to l, which gives l = x + 55.\n6. Substitute x = 12 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 381,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 15; a = y + 17; u = s + 3; k = d + 20; s = a + 9; i = c + 1; l = k + 3; r = x + 1; f = i + 1; x = 12; e = r + 2; c = x + 15; y = e + 16. If x = 12, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 11", "d": "i + 19", "c": "d + 16", "b": "c + 13", "w": "b + 1", "v": "w + 20", "e": "n + 13", "o": "e + 2", "a": "o + 9", "z": "a + 20", "t": "z + 4", "l": "t + 4", "n": 14}, "premises": {"n": 14}, "target": "v"}, "answer": {"steps": [["w", "b + 1", "b + 21"], ["b", "c + 13", "c + 34"], ["c", "d + 16", "d + 50"], ["d", "i + 19", "i + 69"], ["i", "n + 11", "n + 80"], ["n", 14, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"n": 14}, "is_reverse": true}}
| 382
| 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 = n + 13; z = a + 20; l = t + 4; d = i + 19; i = n + 11; o = e + 2; w = b + 1; t = z + 4; v = w + 20; b = c + 13; a = o + 9; n = 14; c = d + 16. If n = 14, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 1 to v, which gives v = b + 21.\n2. Substitute b = c + 13 to v, which gives v = c + 34.\n3. Substitute c = d + 16 to v, which gives v = d + 50.\n4. Substitute d = i + 19 to v, which gives v = i + 69.\n5. Substitute i = n + 11 to v, which gives v = n + 80.\n6. Substitute n = 14 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 382,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 13; z = a + 20; l = t + 4; d = i + 19; i = n + 11; o = e + 2; w = b + 1; t = z + 4; v = w + 20; b = c + 13; a = o + 9; n = 14; c = d + 16. If n = 14, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 9", "h": "d + 13", "e": "h + 1", "a": "e + 2", "x": "a + 4", "f": "x + 17", "b": "m + 4", "z": "b + 5", "k": "z + 20", "r": "k + 3", "v": "r + 8", "s": "v + 3", "m": 7}, "premises": {"m": 7}, "target": "f"}, "answer": {"steps": [["x", "a + 4", "a + 21"], ["a", "e + 2", "e + 23"], ["e", "h + 1", "h + 24"], ["h", "d + 13", "d + 37"], ["d", "m + 9", "m + 46"], ["m", 7, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"m": 7}, "is_reverse": true}}
| 383
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 3; m = 7; d = m + 9; h = d + 13; r = k + 3; f = x + 17; b = m + 4; k = z + 20; v = r + 8; x = a + 4; e = h + 1; z = b + 5; a = e + 2. Given that m = 7, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 4 to f, which gives f = a + 21.\n2. Substitute a = e + 2 to f, which gives f = e + 23.\n3. Substitute e = h + 1 to f, which gives f = h + 24.\n4. Substitute h = d + 13 to f, which gives f = d + 37.\n5. Substitute d = m + 9 to f, which gives f = m + 46.\n6. Substitute m = 7 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 383,
"question": "Suppose a collection of variables is related by the following definitions: s = v + 3; m = 7; d = m + 9; h = d + 13; r = k + 3; f = x + 17; b = m + 4; k = z + 20; v = r + 8; x = a + 4; e = h + 1; z = b + 5; a = e + 2. Given that m = 7, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 14", "l": "u + 4", "j": "l + 5", "q": "j + 9", "c": "q + 12", "k": "c + 5", "g": "x + 2", "t": "g + 1", "y": "t + 4", "w": "y + 5", "o": "w + 20", "h": "o + 1", "x": 2}, "premises": {"x": 2}, "target": "k"}, "answer": {"steps": [["c", "q + 12", "q + 17"], ["q", "j + 9", "j + 26"], ["j", "l + 5", "l + 31"], ["l", "u + 4", "u + 35"], ["u", "x + 14", "x + 49"], ["x", 2, "51"]], "target_var_name": "k", "target_value": 51, "value_dict": {"x": 2}, "is_reverse": true}}
| 384
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 1; u = x + 14; x = 2; y = t + 4; l = u + 4; g = x + 2; w = y + 5; k = c + 5; j = l + 5; o = w + 20; q = j + 9; t = g + 1; c = q + 12. If x = 2, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 12 to k, which gives k = q + 17.\n2. Substitute q = j + 9 to k, which gives k = j + 26.\n3. Substitute j = l + 5 to k, which gives k = l + 31.\n4. Substitute l = u + 4 to k, which gives k = u + 35.\n5. Substitute u = x + 14 to k, which gives k = x + 49.\n6. Substitute x = 2 to k, which gives k = 51.\n\nThus, the final answer is k = \\boxed{51}.",
"index": 384,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 1; u = x + 14; x = 2; y = t + 4; l = u + 4; g = x + 2; w = y + 5; k = c + 5; j = l + 5; o = w + 20; q = j + 9; t = g + 1; c = q + 12. If x = 2, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 15", "l": "p + 15", "f": "l + 1", "m": "f + 11", "u": "m + 11", "x": "u + 15", "v": "t + 6", "e": "v + 4", "b": "e + 13", "r": "b + 8", "i": "r + 16", "z": "i + 6", "t": 16}, "premises": {"t": 16}, "target": "x"}, "answer": {"steps": [["u", "m + 11", "m + 26"], ["m", "f + 11", "f + 37"], ["f", "l + 1", "l + 38"], ["l", "p + 15", "p + 53"], ["p", "t + 15", "t + 68"], ["t", 16, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"t": 16}, "is_reverse": true}}
| 385
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 11; b = e + 13; t = 16; m = f + 11; x = u + 15; l = p + 15; i = r + 16; r = b + 8; p = t + 15; z = i + 6; e = v + 4; v = t + 6; f = l + 1. If t = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 11 to x, which gives x = m + 26.\n2. Substitute m = f + 11 to x, which gives x = f + 37.\n3. Substitute f = l + 1 to x, which gives x = l + 38.\n4. Substitute l = p + 15 to x, which gives x = p + 53.\n5. Substitute p = t + 15 to x, which gives x = t + 68.\n6. Substitute t = 16 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 385,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 11; b = e + 13; t = 16; m = f + 11; x = u + 15; l = p + 15; i = r + 16; r = b + 8; p = t + 15; z = i + 6; e = v + 4; v = t + 6; f = l + 1. If t = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "f + 6", "p": "o + 8", "g": "p + 6", "l": "g + 20", "m": "l + 5", "i": "m + 15", "q": "f + 10", "e": "q + 16", "r": "e + 15", "d": "r + 1", "t": "d + 13", "h": "t + 1", "f": 15}, "premises": {"f": 15}, "target": "i"}, "answer": {"steps": [["m", "l + 5", "l + 20"], ["l", "g + 20", "g + 40"], ["g", "p + 6", "p + 46"], ["p", "o + 8", "o + 54"], ["o", "f + 6", "f + 60"], ["f", 15, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"f": 15}, "is_reverse": true}}
| 386
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 10; t = d + 13; l = g + 20; g = p + 6; h = t + 1; e = q + 16; i = m + 15; r = e + 15; m = l + 5; d = r + 1; f = 15; o = f + 6; p = o + 8. Given that f = 15, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 5 to i, which gives i = l + 20.\n2. Substitute l = g + 20 to i, which gives i = g + 40.\n3. Substitute g = p + 6 to i, which gives i = p + 46.\n4. Substitute p = o + 8 to i, which gives i = o + 54.\n5. Substitute o = f + 6 to i, which gives i = f + 60.\n6. Substitute f = 15 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 386,
"question": "Suppose a collection of variables is related by the following definitions: q = f + 10; t = d + 13; l = g + 20; g = p + 6; h = t + 1; e = q + 16; i = m + 15; r = e + 15; m = l + 5; d = r + 1; f = 15; o = f + 6; p = o + 8. Given that f = 15, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 12", "h": "t + 13", "v": "h + 3", "r": "v + 10", "q": "r + 15", "s": "q + 1", "c": "n + 20", "o": "c + 16", "e": "o + 14", "z": "e + 13", "m": "z + 18", "d": "m + 11", "n": 5}, "premises": {"n": 5}, "target": "s"}, "answer": {"steps": [["q", "r + 15", "r + 16"], ["r", "v + 10", "v + 26"], ["v", "h + 3", "h + 29"], ["h", "t + 13", "t + 42"], ["t", "n + 12", "n + 54"], ["n", 5, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"n": 5}, "is_reverse": true}}
| 387
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 13; c = n + 20; z = e + 13; o = c + 16; m = z + 18; d = m + 11; r = v + 10; n = 5; t = n + 12; s = q + 1; q = r + 15; v = h + 3; e = o + 14. If n = 5, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 15 to s, which gives s = r + 16.\n2. Substitute r = v + 10 to s, which gives s = v + 26.\n3. Substitute v = h + 3 to s, which gives s = h + 29.\n4. Substitute h = t + 13 to s, which gives s = t + 42.\n5. Substitute t = n + 12 to s, which gives s = n + 54.\n6. Substitute n = 5 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 387,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 13; c = n + 20; z = e + 13; o = c + 16; m = z + 18; d = m + 11; r = v + 10; n = 5; t = n + 12; s = q + 1; q = r + 15; v = h + 3; e = o + 14. If n = 5, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 19", "f": "k + 5", "j": "f + 5", "p": "j + 2", "a": "p + 9", "x": "a + 20", "w": "g + 1", "r": "w + 2", "i": "r + 19", "o": "i + 5", "c": "o + 13", "v": "c + 6", "g": 20}, "premises": {"g": 20}, "target": "x"}, "answer": {"steps": [["a", "p + 9", "p + 29"], ["p", "j + 2", "j + 31"], ["j", "f + 5", "f + 36"], ["f", "k + 5", "k + 41"], ["k", "g + 19", "g + 60"], ["g", 20, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"g": 20}, "is_reverse": true}}
| 388
| 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 = 20; j = f + 5; f = k + 5; a = p + 9; k = g + 19; v = c + 6; x = a + 20; w = g + 1; r = w + 2; c = o + 13; i = r + 19; p = j + 2; o = i + 5. If g = 20, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 9 to x, which gives x = p + 29.\n2. Substitute p = j + 2 to x, which gives x = j + 31.\n3. Substitute j = f + 5 to x, which gives x = f + 36.\n4. Substitute f = k + 5 to x, which gives x = k + 41.\n5. Substitute k = g + 19 to x, which gives x = g + 60.\n6. Substitute g = 20 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 20; j = f + 5; f = k + 5; a = p + 9; k = g + 19; v = c + 6; x = a + 20; w = g + 1; r = w + 2; c = o + 13; i = r + 19; p = j + 2; o = i + 5. If g = 20, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"t": "u + 14", "q": "t + 15", "j": "q + 13", "s": "j + 8", "a": "s + 13", "x": "a + 16", "y": "u + 8", "d": "y + 11", "k": "d + 13", "m": "k + 1", "w": "m + 7", "p": "w + 10", "u": 6}, "premises": {"u": 6}, "target": "x"}, "answer": {"steps": [["a", "s + 13", "s + 29"], ["s", "j + 8", "j + 37"], ["j", "q + 13", "q + 50"], ["q", "t + 15", "t + 65"], ["t", "u + 14", "u + 79"], ["u", 6, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"u": 6}, "is_reverse": true}}
| 389
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 15; s = j + 8; u = 6; d = y + 11; y = u + 8; x = a + 16; m = k + 1; k = d + 13; j = q + 13; p = w + 10; w = m + 7; t = u + 14; a = s + 13. If u = 6, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 13 to x, which gives x = s + 29.\n2. Substitute s = j + 8 to x, which gives x = j + 37.\n3. Substitute j = q + 13 to x, which gives x = q + 50.\n4. Substitute q = t + 15 to x, which gives x = t + 65.\n5. Substitute t = u + 14 to x, which gives x = u + 79.\n6. Substitute u = 6 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 15; s = j + 8; u = 6; d = y + 11; y = u + 8; x = a + 16; m = k + 1; k = d + 13; j = q + 13; p = w + 10; w = m + 7; t = u + 14; a = s + 13. If u = 6, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 7", "v": "g + 7", "n": "v + 17", "w": "n + 3", "d": "w + 12", "o": "d + 4", "b": "a + 19", "r": "b + 9", "z": "r + 14", "t": "z + 7", "h": "t + 1", "s": "h + 12", "a": 2}, "premises": {"a": 2}, "target": "o"}, "answer": {"steps": [["d", "w + 12", "w + 16"], ["w", "n + 3", "n + 19"], ["n", "v + 17", "v + 36"], ["v", "g + 7", "g + 43"], ["g", "a + 7", "a + 50"], ["a", 2, "52"]], "target_var_name": "o", "target_value": 52, "value_dict": {"a": 2}, "is_reverse": true}}
| 390
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 1; g = a + 7; o = d + 4; t = z + 7; n = v + 17; a = 2; d = w + 12; b = a + 19; v = g + 7; w = n + 3; s = h + 12; z = r + 14; r = b + 9. If a = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 12 to o, which gives o = w + 16.\n2. Substitute w = n + 3 to o, which gives o = n + 19.\n3. Substitute n = v + 17 to o, which gives o = v + 36.\n4. Substitute v = g + 7 to o, which gives o = g + 43.\n5. Substitute g = a + 7 to o, which gives o = a + 50.\n6. Substitute a = 2 to o, which gives o = 52.\n\nThus, the final answer is o = \\boxed{52}.",
"index": 390,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 1; g = a + 7; o = d + 4; t = z + 7; n = v + 17; a = 2; d = w + 12; b = a + 19; v = g + 7; w = n + 3; s = h + 12; z = r + 14; r = b + 9. If a = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 12", "c": "f + 15", "i": "c + 1", "u": "i + 11", "a": "u + 15", "r": "a + 6", "x": "n + 3", "d": "x + 12", "q": "d + 7", "o": "q + 2", "h": "o + 14", "k": "h + 5", "n": 3}, "premises": {"n": 3}, "target": "r"}, "answer": {"steps": [["a", "u + 15", "u + 21"], ["u", "i + 11", "i + 32"], ["i", "c + 1", "c + 33"], ["c", "f + 15", "f + 48"], ["f", "n + 12", "n + 60"], ["n", 3, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"n": 3}, "is_reverse": true}}
| 391
| 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 = x + 12; n = 3; i = c + 1; r = a + 6; a = u + 15; x = n + 3; k = h + 5; c = f + 15; h = o + 14; f = n + 12; q = d + 7; o = q + 2; u = i + 11. If n = 3, what is the resulting 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 a = u + 15 to r, which gives r = u + 21.\n2. Substitute u = i + 11 to r, which gives r = i + 32.\n3. Substitute i = c + 1 to r, which gives r = c + 33.\n4. Substitute c = f + 15 to r, which gives r = f + 48.\n5. Substitute f = n + 12 to r, which gives r = n + 60.\n6. Substitute n = 3 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 391,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 12; n = 3; i = c + 1; r = a + 6; a = u + 15; x = n + 3; k = h + 5; c = f + 15; h = o + 14; f = n + 12; q = d + 7; o = q + 2; u = i + 11. If n = 3, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 20", "d": "a + 17", "v": "d + 11", "t": "v + 4", "l": "t + 16", "u": "l + 1", "e": "r + 17", "z": "e + 15", "f": "z + 11", "b": "f + 9", "n": "b + 13", "m": "n + 3", "r": 13}, "premises": {"r": 13}, "target": "u"}, "answer": {"steps": [["l", "t + 16", "t + 17"], ["t", "v + 4", "v + 21"], ["v", "d + 11", "d + 32"], ["d", "a + 17", "a + 49"], ["a", "r + 20", "r + 69"], ["r", 13, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"r": 13}, "is_reverse": true}}
| 392
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 13; l = t + 16; u = l + 1; m = n + 3; t = v + 4; f = z + 11; d = a + 17; z = e + 15; e = r + 17; n = b + 13; a = r + 20; v = d + 11; b = f + 9. Given that r = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 16 to u, which gives u = t + 17.\n2. Substitute t = v + 4 to u, which gives u = v + 21.\n3. Substitute v = d + 11 to u, which gives u = d + 32.\n4. Substitute d = a + 17 to u, which gives u = a + 49.\n5. Substitute a = r + 20 to u, which gives u = r + 69.\n6. Substitute r = 13 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 392,
"question": "Suppose a collection of variables is related by the following definitions: r = 13; l = t + 16; u = l + 1; m = n + 3; t = v + 4; f = z + 11; d = a + 17; z = e + 15; e = r + 17; n = b + 13; a = r + 20; v = d + 11; b = f + 9. Given that r = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 4", "y": "a + 4", "o": "y + 11", "v": "o + 14", "d": "v + 13", "g": "d + 6", "n": "w + 13", "m": "n + 13", "x": "m + 8", "b": "x + 3", "j": "b + 15", "c": "j + 10", "w": 3}, "premises": {"w": 3}, "target": "g"}, "answer": {"steps": [["d", "v + 13", "v + 19"], ["v", "o + 14", "o + 33"], ["o", "y + 11", "y + 44"], ["y", "a + 4", "a + 48"], ["a", "w + 4", "w + 52"], ["w", 3, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"w": 3}, "is_reverse": true}}
| 393
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 3; v = o + 14; x = m + 8; c = j + 10; o = y + 11; d = v + 13; g = d + 6; j = b + 15; n = w + 13; a = w + 4; y = a + 4; w = 3; m = n + 13. Given that w = 3, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 13 to g, which gives g = v + 19.\n2. Substitute v = o + 14 to g, which gives g = o + 33.\n3. Substitute o = y + 11 to g, which gives g = y + 44.\n4. Substitute y = a + 4 to g, which gives g = a + 48.\n5. Substitute a = w + 4 to g, which gives g = w + 52.\n6. Substitute w = 3 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 393,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 3; v = o + 14; x = m + 8; c = j + 10; o = y + 11; d = v + 13; g = d + 6; j = b + 15; n = w + 13; a = w + 4; y = a + 4; w = 3; m = n + 13. Given that w = 3, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 7", "p": "x + 19", "j": "p + 6", "d": "j + 13", "m": "d + 14", "o": "m + 6", "s": "e + 10", "i": "s + 17", "k": "i + 5", "w": "k + 18", "a": "w + 18", "r": "a + 14", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["m", "d + 14", "d + 20"], ["d", "j + 13", "j + 33"], ["j", "p + 6", "p + 39"], ["p", "x + 19", "x + 58"], ["x", "e + 7", "e + 65"], ["e", 3, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"e": 3}, "is_reverse": true}}
| 394
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 13; i = s + 17; s = e + 10; e = 3; a = w + 18; j = p + 6; x = e + 7; p = x + 19; m = d + 14; o = m + 6; k = i + 5; r = a + 14; w = k + 18. Given that e = 3, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 14 to o, which gives o = d + 20.\n2. Substitute d = j + 13 to o, which gives o = j + 33.\n3. Substitute j = p + 6 to o, which gives o = p + 39.\n4. Substitute p = x + 19 to o, which gives o = x + 58.\n5. Substitute x = e + 7 to o, which gives o = e + 65.\n6. Substitute e = 3 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 394,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 13; i = s + 17; s = e + 10; e = 3; a = w + 18; j = p + 6; x = e + 7; p = x + 19; m = d + 14; o = m + 6; k = i + 5; r = a + 14; w = k + 18. Given that e = 3, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 2", "y": "v + 17", "r": "y + 11", "j": "r + 20", "h": "j + 3", "z": "h + 4", "s": "u + 4", "l": "s + 1", "c": "l + 10", "g": "c + 1", "d": "g + 15", "n": "d + 9", "u": 7}, "premises": {"u": 7}, "target": "z"}, "answer": {"steps": [["h", "j + 3", "j + 7"], ["j", "r + 20", "r + 27"], ["r", "y + 11", "y + 38"], ["y", "v + 17", "v + 55"], ["v", "u + 2", "u + 57"], ["u", 7, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"u": 7}, "is_reverse": true}}
| 395
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 1; z = h + 4; u = 7; s = u + 4; j = r + 20; v = u + 2; y = v + 17; c = l + 10; r = y + 11; h = j + 3; n = d + 9; g = c + 1; d = g + 15. If u = 7, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 3 to z, which gives z = j + 7.\n2. Substitute j = r + 20 to z, which gives z = r + 27.\n3. Substitute r = y + 11 to z, which gives z = y + 38.\n4. Substitute y = v + 17 to z, which gives z = v + 55.\n5. Substitute v = u + 2 to z, which gives z = u + 57.\n6. Substitute u = 7 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 395,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 1; z = h + 4; u = 7; s = u + 4; j = r + 20; v = u + 2; y = v + 17; c = l + 10; r = y + 11; h = j + 3; n = d + 9; g = c + 1; d = g + 15. If u = 7, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 6", "g": "v + 20", "x": "g + 2", "j": "x + 18", "k": "j + 4", "i": "k + 15", "p": "m + 12", "e": "p + 2", "a": "e + 12", "c": "a + 4", "h": "c + 7", "b": "h + 18", "m": 2}, "premises": {"m": 2}, "target": "i"}, "answer": {"steps": [["k", "j + 4", "j + 19"], ["j", "x + 18", "x + 37"], ["x", "g + 2", "g + 39"], ["g", "v + 20", "v + 59"], ["v", "m + 6", "m + 65"], ["m", 2, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"m": 2}, "is_reverse": true}}
| 396
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 12; m = 2; v = m + 6; i = k + 15; b = h + 18; j = x + 18; p = m + 12; h = c + 7; x = g + 2; e = p + 2; c = a + 4; g = v + 20; k = j + 4. Given that m = 2, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 4 to i, which gives i = j + 19.\n2. Substitute j = x + 18 to i, which gives i = x + 37.\n3. Substitute x = g + 2 to i, which gives i = g + 39.\n4. Substitute g = v + 20 to i, which gives i = v + 59.\n5. Substitute v = m + 6 to i, which gives i = m + 65.\n6. Substitute m = 2 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 396,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 12; m = 2; v = m + 6; i = k + 15; b = h + 18; j = x + 18; p = m + 12; h = c + 7; x = g + 2; e = p + 2; c = a + 4; g = v + 20; k = j + 4. Given that m = 2, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 8", "n": "b + 13", "k": "n + 12", "a": "k + 12", "x": "a + 1", "g": "x + 20", "h": "t + 4", "u": "h + 2", "q": "u + 18", "o": "q + 18", "w": "o + 9", "p": "w + 11", "t": 11}, "premises": {"t": 11}, "target": "g"}, "answer": {"steps": [["x", "a + 1", "a + 21"], ["a", "k + 12", "k + 33"], ["k", "n + 12", "n + 45"], ["n", "b + 13", "b + 58"], ["b", "t + 8", "t + 66"], ["t", 11, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"t": 11}, "is_reverse": true}}
| 397
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 12; q = u + 18; p = w + 11; n = b + 13; k = n + 12; u = h + 2; h = t + 4; o = q + 18; x = a + 1; b = t + 8; t = 11; w = o + 9; g = x + 20. If t = 11, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 1 to g, which gives g = a + 21.\n2. Substitute a = k + 12 to g, which gives g = k + 33.\n3. Substitute k = n + 12 to g, which gives g = n + 45.\n4. Substitute n = b + 13 to g, which gives g = b + 58.\n5. Substitute b = t + 8 to g, which gives g = t + 66.\n6. Substitute t = 11 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 397,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 12; q = u + 18; p = w + 11; n = b + 13; k = n + 12; u = h + 2; h = t + 4; o = q + 18; x = a + 1; b = t + 8; t = 11; w = o + 9; g = x + 20. If t = 11, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 14", "d": "i + 9", "x": "d + 1", "g": "x + 1", "p": "g + 14", "s": "p + 15", "n": "w + 17", "o": "n + 3", "y": "o + 16", "u": "y + 16", "h": "u + 14", "c": "h + 1", "w": 12}, "premises": {"w": 12}, "target": "s"}, "answer": {"steps": [["p", "g + 14", "g + 29"], ["g", "x + 1", "x + 30"], ["x", "d + 1", "d + 31"], ["d", "i + 9", "i + 40"], ["i", "w + 14", "w + 54"], ["w", 12, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"w": 12}, "is_reverse": true}}
| 398
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 16; o = n + 3; n = w + 17; s = p + 15; i = w + 14; p = g + 14; c = h + 1; u = y + 16; x = d + 1; d = i + 9; w = 12; h = u + 14; g = x + 1. If w = 12, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 14 to s, which gives s = g + 29.\n2. Substitute g = x + 1 to s, which gives s = x + 30.\n3. Substitute x = d + 1 to s, which gives s = d + 31.\n4. Substitute d = i + 9 to s, which gives s = i + 40.\n5. Substitute i = w + 14 to s, which gives s = w + 54.\n6. Substitute w = 12 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 398,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 16; o = n + 3; n = w + 17; s = p + 15; i = w + 14; p = g + 14; c = h + 1; u = y + 16; x = d + 1; d = i + 9; w = 12; h = u + 14; g = x + 1. If w = 12, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"u": "k + 14", "r": "u + 16", "y": "r + 4", "m": "y + 11", "w": "m + 6", "s": "w + 9", "t": "k + 14", "j": "t + 1", "n": "j + 19", "x": "n + 12", "d": "x + 15", "c": "d + 14", "k": 14}, "premises": {"k": 14}, "target": "s"}, "answer": {"steps": [["w", "m + 6", "m + 15"], ["m", "y + 11", "y + 26"], ["y", "r + 4", "r + 30"], ["r", "u + 16", "u + 46"], ["u", "k + 14", "k + 60"], ["k", 14, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"k": 14}, "is_reverse": true}}
| 399
| 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 = j + 19; r = u + 16; m = y + 11; k = 14; u = k + 14; d = x + 15; w = m + 6; y = r + 4; s = w + 9; j = t + 1; c = d + 14; t = k + 14; x = n + 12. If k = 14, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 6 to s, which gives s = m + 15.\n2. Substitute m = y + 11 to s, which gives s = y + 26.\n3. Substitute y = r + 4 to s, which gives s = r + 30.\n4. Substitute r = u + 16 to s, which gives s = u + 46.\n5. Substitute u = k + 14 to s, which gives s = k + 60.\n6. Substitute k = 14 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = j + 19; r = u + 16; m = y + 11; k = 14; u = k + 14; d = x + 15; w = m + 6; y = r + 4; s = w + 9; j = t + 1; c = d + 14; t = k + 14; x = n + 12. If k = 14, what is the resulting value of s?",
"split": "train"
}
|
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