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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": {"y": "x + 1", "z": "y + 6", "r": "z + 13", "j": "r + 11", "w": "j + 7", "e": "w + 16", "o": "x + 6", "h": "o + 11", "l": "h + 7", "a": "l + 4", "f": "a + 8", "k": "f + 18", "x": 17}, "premises": {"x": 17}, "target": "e"}, "answer": {"steps": [["w", "j + 7", "j + 23"], ["j", "r + 11", "r + 34"], ["r", "z + 13", "z + 47"], ["z", "y + 6", "y + 53"], ["y", "x + 1", "x + 54"], ["x", 17, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"x": 17}, "is_reverse": true}}
| 3,000
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 16; j = r + 11; f = a + 8; h = o + 11; y = x + 1; a = l + 4; w = j + 7; x = 17; k = f + 18; r = z + 13; l = h + 7; o = x + 6; z = y + 6. If x = 17, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 7 to e, which gives e = j + 23.\n2. Substitute j = r + 11 to e, which gives e = r + 34.\n3. Substitute r = z + 13 to e, which gives e = z + 47.\n4. Substitute z = y + 6 to e, which gives e = y + 53.\n5. Substitute y = x + 1 to e, which gives e = x + 54.\n6. Substitute x = 17 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 3000,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 16; j = r + 11; f = a + 8; h = o + 11; y = x + 1; a = l + 4; w = j + 7; x = 17; k = f + 18; r = z + 13; l = h + 7; o = x + 6; z = y + 6. If x = 17, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 9", "m": "b + 3", "s": "m + 10", "r": "s + 18", "i": "r + 4", "z": "i + 16", "g": "h + 3", "k": "g + 3", "n": "k + 7", "a": "n + 13", "o": "a + 3", "q": "o + 3", "h": 12}, "premises": {"h": 12}, "target": "z"}, "answer": {"steps": [["i", "r + 4", "r + 20"], ["r", "s + 18", "s + 38"], ["s", "m + 10", "m + 48"], ["m", "b + 3", "b + 51"], ["b", "h + 9", "h + 60"], ["h", 12, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"h": 12}, "is_reverse": true}}
| 3,001
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 3; o = a + 3; r = s + 18; i = r + 4; h = 12; q = o + 3; b = h + 9; z = i + 16; m = b + 3; n = k + 7; s = m + 10; k = g + 3; a = n + 13. If h = 12, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 4 to z, which gives z = r + 20.\n2. Substitute r = s + 18 to z, which gives z = s + 38.\n3. Substitute s = m + 10 to z, which gives z = m + 48.\n4. Substitute m = b + 3 to z, which gives z = b + 51.\n5. Substitute b = h + 9 to z, which gives z = h + 60.\n6. Substitute h = 12 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 3001,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 3; o = a + 3; r = s + 18; i = r + 4; h = 12; q = o + 3; b = h + 9; z = i + 16; m = b + 3; n = k + 7; s = m + 10; k = g + 3; a = n + 13. If h = 12, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 9", "m": "w + 4", "c": "m + 7", "u": "c + 20", "n": "u + 19", "i": "n + 19", "v": "p + 17", "g": "v + 18", "d": "g + 19", "f": "d + 9", "j": "f + 20", "b": "j + 16", "p": 11}, "premises": {"p": 11}, "target": "i"}, "answer": {"steps": [["n", "u + 19", "u + 38"], ["u", "c + 20", "c + 58"], ["c", "m + 7", "m + 65"], ["m", "w + 4", "w + 69"], ["w", "p + 9", "p + 78"], ["p", 11, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"p": 11}, "is_reverse": true}}
| 3,002
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 9; g = v + 18; j = f + 20; i = n + 19; u = c + 20; p = 11; m = w + 4; d = g + 19; v = p + 17; n = u + 19; c = m + 7; w = p + 9; b = j + 16. If p = 11, determine the value of i.",
"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 i, which gives i = u + 38.\n2. Substitute u = c + 20 to i, which gives i = c + 58.\n3. Substitute c = m + 7 to i, which gives i = m + 65.\n4. Substitute m = w + 4 to i, which gives i = w + 69.\n5. Substitute w = p + 9 to i, which gives i = p + 78.\n6. Substitute p = 11 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 3002,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 9; g = v + 18; j = f + 20; i = n + 19; u = c + 20; p = 11; m = w + 4; d = g + 19; v = p + 17; n = u + 19; c = m + 7; w = p + 9; b = j + 16. If p = 11, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 14", "t": "h + 15", "u": "t + 17", "z": "u + 14", "c": "z + 4", "n": "c + 13", "a": "l + 3", "v": "a + 11", "f": "v + 9", "w": "f + 20", "j": "w + 1", "e": "j + 12", "l": 4}, "premises": {"l": 4}, "target": "n"}, "answer": {"steps": [["c", "z + 4", "z + 17"], ["z", "u + 14", "u + 31"], ["u", "t + 17", "t + 48"], ["t", "h + 15", "h + 63"], ["h", "l + 14", "l + 77"], ["l", 4, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"l": 4}, "is_reverse": true}}
| 3,003
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 20; f = v + 9; c = z + 4; n = c + 13; z = u + 14; l = 4; e = j + 12; u = t + 17; h = l + 14; a = l + 3; t = h + 15; v = a + 11; j = w + 1. If l = 4, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 4 to n, which gives n = z + 17.\n2. Substitute z = u + 14 to n, which gives n = u + 31.\n3. Substitute u = t + 17 to n, which gives n = t + 48.\n4. Substitute t = h + 15 to n, which gives n = h + 63.\n5. Substitute h = l + 14 to n, which gives n = l + 77.\n6. Substitute l = 4 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 3003,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 20; f = v + 9; c = z + 4; n = c + 13; z = u + 14; l = 4; e = j + 12; u = t + 17; h = l + 14; a = l + 3; t = h + 15; v = a + 11; j = w + 1. If l = 4, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 7", "v": "a + 12", "b": "v + 15", "t": "b + 13", "x": "t + 16", "y": "x + 20", "u": "p + 14", "h": "u + 18", "k": "h + 19", "c": "k + 17", "e": "c + 7", "i": "e + 4", "p": 13}, "premises": {"p": 13}, "target": "y"}, "answer": {"steps": [["x", "t + 16", "t + 36"], ["t", "b + 13", "b + 49"], ["b", "v + 15", "v + 64"], ["v", "a + 12", "a + 76"], ["a", "p + 7", "p + 83"], ["p", 13, "96"]], "target_var_name": "y", "target_value": 96, "value_dict": {"p": 13}, "is_reverse": true}}
| 3,004
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 17; u = p + 14; x = t + 16; e = c + 7; i = e + 4; h = u + 18; t = b + 13; v = a + 12; p = 13; b = v + 15; a = p + 7; y = x + 20; k = h + 19. If p = 13, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 16 to y, which gives y = t + 36.\n2. Substitute t = b + 13 to y, which gives y = b + 49.\n3. Substitute b = v + 15 to y, which gives y = v + 64.\n4. Substitute v = a + 12 to y, which gives y = a + 76.\n5. Substitute a = p + 7 to y, which gives y = p + 83.\n6. Substitute p = 13 to y, which gives y = 96.\n\nThus, the final answer is y = \\boxed{96}.",
"index": 3004,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 17; u = p + 14; x = t + 16; e = c + 7; i = e + 4; h = u + 18; t = b + 13; v = a + 12; p = 13; b = v + 15; a = p + 7; y = x + 20; k = h + 19. If p = 13, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 3", "g": "l + 1", "d": "g + 12", "y": "d + 14", "m": "y + 7", "a": "m + 20", "v": "b + 16", "r": "v + 3", "u": "r + 13", "q": "u + 2", "i": "q + 20", "t": "i + 16", "b": 3}, "premises": {"b": 3}, "target": "a"}, "answer": {"steps": [["m", "y + 7", "y + 27"], ["y", "d + 14", "d + 41"], ["d", "g + 12", "g + 53"], ["g", "l + 1", "l + 54"], ["l", "b + 3", "b + 57"], ["b", 3, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"b": 3}, "is_reverse": true}}
| 3,005
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 1; u = r + 13; t = i + 16; i = q + 20; a = m + 20; b = 3; v = b + 16; y = d + 14; r = v + 3; m = y + 7; d = g + 12; l = b + 3; q = u + 2. Given that b = 3, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 7 to a, which gives a = y + 27.\n2. Substitute y = d + 14 to a, which gives a = d + 41.\n3. Substitute d = g + 12 to a, which gives a = g + 53.\n4. Substitute g = l + 1 to a, which gives a = l + 54.\n5. Substitute l = b + 3 to a, which gives a = b + 57.\n6. Substitute b = 3 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 3005,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 1; u = r + 13; t = i + 16; i = q + 20; a = m + 20; b = 3; v = b + 16; y = d + 14; r = v + 3; m = y + 7; d = g + 12; l = b + 3; q = u + 2. Given that b = 3, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 19", "v": "c + 16", "p": "v + 20", "s": "p + 20", "z": "s + 19", "u": "z + 6", "y": "h + 9", "d": "y + 4", "k": "d + 6", "n": "k + 15", "o": "n + 7", "q": "o + 20", "h": 9}, "premises": {"h": 9}, "target": "u"}, "answer": {"steps": [["z", "s + 19", "s + 25"], ["s", "p + 20", "p + 45"], ["p", "v + 20", "v + 65"], ["v", "c + 16", "c + 81"], ["c", "h + 19", "h + 100"], ["h", 9, "109"]], "target_var_name": "u", "target_value": 109, "value_dict": {"h": 9}, "is_reverse": true}}
| 3,006
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 19; s = p + 20; z = s + 19; o = n + 7; v = c + 16; y = h + 9; p = v + 20; u = z + 6; h = 9; k = d + 6; n = k + 15; d = y + 4; q = o + 20. Given that h = 9, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 19 to u, which gives u = s + 25.\n2. Substitute s = p + 20 to u, which gives u = p + 45.\n3. Substitute p = v + 20 to u, which gives u = v + 65.\n4. Substitute v = c + 16 to u, which gives u = c + 81.\n5. Substitute c = h + 19 to u, which gives u = h + 100.\n6. Substitute h = 9 to u, which gives u = 109.\n\nThus, the final answer is u = \\boxed{109}.",
"index": 3006,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 19; s = p + 20; z = s + 19; o = n + 7; v = c + 16; y = h + 9; p = v + 20; u = z + 6; h = 9; k = d + 6; n = k + 15; d = y + 4; q = o + 20. Given that h = 9, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 13", "w": "y + 6", "c": "w + 11", "u": "c + 5", "k": "u + 3", "i": "k + 8", "g": "h + 8", "b": "g + 10", "z": "b + 18", "l": "z + 19", "e": "l + 4", "f": "e + 19", "h": 6}, "premises": {"h": 6}, "target": "i"}, "answer": {"steps": [["k", "u + 3", "u + 11"], ["u", "c + 5", "c + 16"], ["c", "w + 11", "w + 27"], ["w", "y + 6", "y + 33"], ["y", "h + 13", "h + 46"], ["h", 6, "52"]], "target_var_name": "i", "target_value": 52, "value_dict": {"h": 6}, "is_reverse": true}}
| 3,007
| 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 = l + 4; w = y + 6; z = b + 18; f = e + 19; l = z + 19; c = w + 11; h = 6; i = k + 8; y = h + 13; g = h + 8; u = c + 5; b = g + 10; k = u + 3. If h = 6, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 3 to i, which gives i = u + 11.\n2. Substitute u = c + 5 to i, which gives i = c + 16.\n3. Substitute c = w + 11 to i, which gives i = w + 27.\n4. Substitute w = y + 6 to i, which gives i = y + 33.\n5. Substitute y = h + 13 to i, which gives i = h + 46.\n6. Substitute h = 6 to i, which gives i = 52.\n\nThus, the final answer is i = \\boxed{52}.",
"index": 3007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = l + 4; w = y + 6; z = b + 18; f = e + 19; l = z + 19; c = w + 11; h = 6; i = k + 8; y = h + 13; g = h + 8; u = c + 5; b = g + 10; k = u + 3. If h = 6, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 14", "c": "u + 16", "r": "c + 6", "x": "r + 20", "f": "x + 19", "l": "f + 17", "i": "h + 6", "s": "i + 16", "q": "s + 6", "z": "q + 20", "k": "z + 7", "d": "k + 10", "h": 8}, "premises": {"h": 8}, "target": "l"}, "answer": {"steps": [["f", "x + 19", "x + 36"], ["x", "r + 20", "r + 56"], ["r", "c + 6", "c + 62"], ["c", "u + 16", "u + 78"], ["u", "h + 14", "h + 92"], ["h", 8, "100"]], "target_var_name": "l", "target_value": 100, "value_dict": {"h": 8}, "is_reverse": true}}
| 3,008
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 14; i = h + 6; l = f + 17; d = k + 10; r = c + 6; f = x + 19; q = s + 6; c = u + 16; z = q + 20; x = r + 20; s = i + 16; k = z + 7; h = 8. If h = 8, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 19 to l, which gives l = x + 36.\n2. Substitute x = r + 20 to l, which gives l = r + 56.\n3. Substitute r = c + 6 to l, which gives l = c + 62.\n4. Substitute c = u + 16 to l, which gives l = u + 78.\n5. Substitute u = h + 14 to l, which gives l = h + 92.\n6. Substitute h = 8 to l, which gives l = 100.\n\nThus, the final answer is l = \\boxed{100}.",
"index": 3008,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 14; i = h + 6; l = f + 17; d = k + 10; r = c + 6; f = x + 19; q = s + 6; c = u + 16; z = q + 20; x = r + 20; s = i + 16; k = z + 7; h = 8. If h = 8, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 14", "r": "q + 11", "g": "r + 3", "k": "g + 17", "p": "k + 19", "o": "p + 8", "l": "a + 16", "m": "l + 2", "b": "m + 19", "e": "b + 11", "t": "e + 16", "n": "t + 8", "a": 9}, "premises": {"a": 9}, "target": "o"}, "answer": {"steps": [["p", "k + 19", "k + 27"], ["k", "g + 17", "g + 44"], ["g", "r + 3", "r + 47"], ["r", "q + 11", "q + 58"], ["q", "a + 14", "a + 72"], ["a", 9, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"a": 9}, "is_reverse": true}}
| 3,009
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = m + 19; g = r + 3; m = l + 2; l = a + 16; k = g + 17; p = k + 19; n = t + 8; r = q + 11; e = b + 11; t = e + 16; q = a + 14; a = 9; o = p + 8. If a = 9, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 19 to o, which gives o = k + 27.\n2. Substitute k = g + 17 to o, which gives o = g + 44.\n3. Substitute g = r + 3 to o, which gives o = r + 47.\n4. Substitute r = q + 11 to o, which gives o = q + 58.\n5. Substitute q = a + 14 to o, which gives o = a + 72.\n6. Substitute a = 9 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 3009,
"question": "Consider a system of variables where each variable is defined as follows: b = m + 19; g = r + 3; m = l + 2; l = a + 16; k = g + 17; p = k + 19; n = t + 8; r = q + 11; e = b + 11; t = e + 16; q = a + 14; a = 9; o = p + 8. If a = 9, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 17", "x": "f + 10", "w": "x + 3", "p": "w + 8", "q": "p + 18", "o": "q + 12", "m": "t + 4", "g": "m + 11", "u": "g + 7", "i": "u + 14", "v": "i + 12", "h": "v + 18", "t": 18}, "premises": {"t": 18}, "target": "o"}, "answer": {"steps": [["q", "p + 18", "p + 30"], ["p", "w + 8", "w + 38"], ["w", "x + 3", "x + 41"], ["x", "f + 10", "f + 51"], ["f", "t + 17", "t + 68"], ["t", 18, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"t": 18}, "is_reverse": true}}
| 3,010
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 12; f = t + 17; m = t + 4; v = i + 12; p = w + 8; x = f + 10; i = u + 14; t = 18; h = v + 18; q = p + 18; u = g + 7; w = x + 3; g = m + 11. Given that t = 18, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 18 to o, which gives o = p + 30.\n2. Substitute p = w + 8 to o, which gives o = w + 38.\n3. Substitute w = x + 3 to o, which gives o = x + 41.\n4. Substitute x = f + 10 to o, which gives o = f + 51.\n5. Substitute f = t + 17 to o, which gives o = t + 68.\n6. Substitute t = 18 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 3010,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 12; f = t + 17; m = t + 4; v = i + 12; p = w + 8; x = f + 10; i = u + 14; t = 18; h = v + 18; q = p + 18; u = g + 7; w = x + 3; g = m + 11. Given that t = 18, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 17", "i": "z + 18", "r": "i + 17", "g": "r + 6", "d": "g + 7", "s": "d + 10", "x": "n + 2", "e": "x + 14", "u": "e + 16", "v": "u + 19", "p": "v + 8", "j": "p + 3", "n": 3}, "premises": {"n": 3}, "target": "s"}, "answer": {"steps": [["d", "g + 7", "g + 17"], ["g", "r + 6", "r + 23"], ["r", "i + 17", "i + 40"], ["i", "z + 18", "z + 58"], ["z", "n + 17", "n + 75"], ["n", 3, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"n": 3}, "is_reverse": true}}
| 3,011
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 7; n = 3; v = u + 19; g = r + 6; i = z + 18; p = v + 8; r = i + 17; j = p + 3; x = n + 2; e = x + 14; z = n + 17; u = e + 16; s = d + 10. If n = 3, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 7 to s, which gives s = g + 17.\n2. Substitute g = r + 6 to s, which gives s = r + 23.\n3. Substitute r = i + 17 to s, which gives s = i + 40.\n4. Substitute i = z + 18 to s, which gives s = z + 58.\n5. Substitute z = n + 17 to s, which gives s = n + 75.\n6. Substitute n = 3 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 3011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 7; n = 3; v = u + 19; g = r + 6; i = z + 18; p = v + 8; r = i + 17; j = p + 3; x = n + 2; e = x + 14; z = n + 17; u = e + 16; s = d + 10. If n = 3, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 15", "g": "t + 5", "o": "g + 4", "p": "o + 7", "d": "p + 5", "q": "d + 11", "s": "n + 12", "a": "s + 13", "e": "a + 6", "b": "e + 11", "j": "b + 15", "c": "j + 8", "n": 1}, "premises": {"n": 1}, "target": "q"}, "answer": {"steps": [["d", "p + 5", "p + 16"], ["p", "o + 7", "o + 23"], ["o", "g + 4", "g + 27"], ["g", "t + 5", "t + 32"], ["t", "n + 15", "n + 47"], ["n", 1, "48"]], "target_var_name": "q", "target_value": 48, "value_dict": {"n": 1}, "is_reverse": true}}
| 3,012
| 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 = s + 13; j = b + 15; p = o + 7; d = p + 5; g = t + 5; t = n + 15; c = j + 8; q = d + 11; e = a + 6; n = 1; b = e + 11; o = g + 4; s = n + 12. If n = 1, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 5 to q, which gives q = p + 16.\n2. Substitute p = o + 7 to q, which gives q = o + 23.\n3. Substitute o = g + 4 to q, which gives q = g + 27.\n4. Substitute g = t + 5 to q, which gives q = t + 32.\n5. Substitute t = n + 15 to q, which gives q = n + 47.\n6. Substitute n = 1 to q, which gives q = 48.\n\nThus, the final answer is q = \\boxed{48}.",
"index": 3012,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 13; j = b + 15; p = o + 7; d = p + 5; g = t + 5; t = n + 15; c = j + 8; q = d + 11; e = a + 6; n = 1; b = e + 11; o = g + 4; s = n + 12. If n = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 17", "z": "q + 2", "u": "z + 14", "d": "u + 11", "r": "d + 10", "x": "r + 14", "m": "b + 13", "l": "m + 17", "g": "l + 5", "e": "g + 7", "a": "e + 16", "n": "a + 8", "b": 18}, "premises": {"b": 18}, "target": "x"}, "answer": {"steps": [["r", "d + 10", "d + 24"], ["d", "u + 11", "u + 35"], ["u", "z + 14", "z + 49"], ["z", "q + 2", "q + 51"], ["q", "b + 17", "b + 68"], ["b", 18, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"b": 18}, "is_reverse": true}}
| 3,013
| 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 = g + 7; b = 18; g = l + 5; z = q + 2; m = b + 13; u = z + 14; r = d + 10; a = e + 16; d = u + 11; q = b + 17; x = r + 14; l = m + 17; n = a + 8. If b = 18, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 10 to x, which gives x = d + 24.\n2. Substitute d = u + 11 to x, which gives x = u + 35.\n3. Substitute u = z + 14 to x, which gives x = z + 49.\n4. Substitute z = q + 2 to x, which gives x = q + 51.\n5. Substitute q = b + 17 to x, which gives x = b + 68.\n6. Substitute b = 18 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 3013,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 7; b = 18; g = l + 5; z = q + 2; m = b + 13; u = z + 14; r = d + 10; a = e + 16; d = u + 11; q = b + 17; x = r + 14; l = m + 17; n = a + 8. If b = 18, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 13", "e": "s + 11", "f": "e + 3", "v": "f + 15", "r": "v + 20", "d": "r + 11", "b": "m + 11", "w": "b + 20", "a": "w + 5", "u": "a + 1", "h": "u + 16", "t": "h + 6", "m": 7}, "premises": {"m": 7}, "target": "d"}, "answer": {"steps": [["r", "v + 20", "v + 31"], ["v", "f + 15", "f + 46"], ["f", "e + 3", "e + 49"], ["e", "s + 11", "s + 60"], ["s", "m + 13", "m + 73"], ["m", 7, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"m": 7}, "is_reverse": true}}
| 3,014
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 11; u = a + 1; t = h + 6; f = e + 3; v = f + 15; r = v + 20; m = 7; a = w + 5; w = b + 20; h = u + 16; b = m + 11; d = r + 11; s = m + 13. Given that m = 7, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 20 to d, which gives d = v + 31.\n2. Substitute v = f + 15 to d, which gives d = f + 46.\n3. Substitute f = e + 3 to d, which gives d = e + 49.\n4. Substitute e = s + 11 to d, which gives d = s + 60.\n5. Substitute s = m + 13 to d, which gives d = m + 73.\n6. Substitute m = 7 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 3014,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 11; u = a + 1; t = h + 6; f = e + 3; v = f + 15; r = v + 20; m = 7; a = w + 5; w = b + 20; h = u + 16; b = m + 11; d = r + 11; s = m + 13. Given that m = 7, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 15", "o": "m + 20", "g": "o + 7", "s": "g + 2", "d": "s + 5", "l": "d + 11", "h": "e + 11", "u": "h + 13", "z": "u + 14", "x": "z + 17", "r": "x + 2", "t": "r + 5", "e": 18}, "premises": {"e": 18}, "target": "l"}, "answer": {"steps": [["d", "s + 5", "s + 16"], ["s", "g + 2", "g + 18"], ["g", "o + 7", "o + 25"], ["o", "m + 20", "m + 45"], ["m", "e + 15", "e + 60"], ["e", 18, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"e": 18}, "is_reverse": true}}
| 3,015
| 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 = e + 15; l = d + 11; g = o + 7; z = u + 14; x = z + 17; s = g + 2; t = r + 5; o = m + 20; h = e + 11; r = x + 2; d = s + 5; e = 18; u = h + 13. If e = 18, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 5 to l, which gives l = s + 16.\n2. Substitute s = g + 2 to l, which gives l = g + 18.\n3. Substitute g = o + 7 to l, which gives l = o + 25.\n4. Substitute o = m + 20 to l, which gives l = m + 45.\n5. Substitute m = e + 15 to l, which gives l = e + 60.\n6. Substitute e = 18 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 3015,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 15; l = d + 11; g = o + 7; z = u + 14; x = z + 17; s = g + 2; t = r + 5; o = m + 20; h = e + 11; r = x + 2; d = s + 5; e = 18; u = h + 13. If e = 18, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 3", "u": "p + 6", "i": "u + 3", "l": "i + 12", "r": "l + 5", "t": "r + 13", "o": "s + 16", "a": "o + 7", "e": "a + 19", "z": "e + 7", "w": "z + 18", "j": "w + 1", "s": 16}, "premises": {"s": 16}, "target": "t"}, "answer": {"steps": [["r", "l + 5", "l + 18"], ["l", "i + 12", "i + 30"], ["i", "u + 3", "u + 33"], ["u", "p + 6", "p + 39"], ["p", "s + 3", "s + 42"], ["s", 16, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"s": 16}, "is_reverse": true}}
| 3,016
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 19; z = e + 7; i = u + 3; u = p + 6; s = 16; r = l + 5; t = r + 13; l = i + 12; w = z + 18; a = o + 7; o = s + 16; j = w + 1; p = s + 3. Given that s = 16, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 5 to t, which gives t = l + 18.\n2. Substitute l = i + 12 to t, which gives t = i + 30.\n3. Substitute i = u + 3 to t, which gives t = u + 33.\n4. Substitute u = p + 6 to t, which gives t = p + 39.\n5. Substitute p = s + 3 to t, which gives t = s + 42.\n6. Substitute s = 16 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 3016,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 19; z = e + 7; i = u + 3; u = p + 6; s = 16; r = l + 5; t = r + 13; l = i + 12; w = z + 18; a = o + 7; o = s + 16; j = w + 1; p = s + 3. Given that s = 16, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 11", "t": "i + 14", "w": "t + 1", "e": "w + 4", "r": "e + 2", "v": "r + 3", "p": "x + 7", "c": "p + 17", "m": "c + 10", "j": "m + 9", "l": "j + 14", "a": "l + 15", "x": 17}, "premises": {"x": 17}, "target": "v"}, "answer": {"steps": [["r", "e + 2", "e + 5"], ["e", "w + 4", "w + 9"], ["w", "t + 1", "t + 10"], ["t", "i + 14", "i + 24"], ["i", "x + 11", "x + 35"], ["x", 17, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"x": 17}, "is_reverse": true}}
| 3,017
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 15; i = x + 11; r = e + 2; j = m + 9; m = c + 10; x = 17; w = t + 1; l = j + 14; p = x + 7; v = r + 3; e = w + 4; t = i + 14; c = p + 17. Given that x = 17, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 2 to v, which gives v = e + 5.\n2. Substitute e = w + 4 to v, which gives v = w + 9.\n3. Substitute w = t + 1 to v, which gives v = t + 10.\n4. Substitute t = i + 14 to v, which gives v = i + 24.\n5. Substitute i = x + 11 to v, which gives v = x + 35.\n6. Substitute x = 17 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 3017,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 15; i = x + 11; r = e + 2; j = m + 9; m = c + 10; x = 17; w = t + 1; l = j + 14; p = x + 7; v = r + 3; e = w + 4; t = i + 14; c = p + 17. Given that x = 17, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 17", "r": "x + 10", "q": "r + 3", "g": "q + 12", "h": "g + 11", "p": "h + 15", "v": "c + 15", "o": "v + 10", "e": "o + 15", "z": "e + 10", "n": "z + 8", "b": "n + 15", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["h", "g + 11", "g + 26"], ["g", "q + 12", "q + 38"], ["q", "r + 3", "r + 41"], ["r", "x + 10", "x + 51"], ["x", "c + 17", "c + 68"], ["c", 17, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"c": 17}, "is_reverse": true}}
| 3,018
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 17; e = o + 15; n = z + 8; r = x + 10; c = 17; p = h + 15; b = n + 15; v = c + 15; q = r + 3; h = g + 11; o = v + 10; z = e + 10; g = q + 12. If c = 17, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 11 to p, which gives p = g + 26.\n2. Substitute g = q + 12 to p, which gives p = q + 38.\n3. Substitute q = r + 3 to p, which gives p = r + 41.\n4. Substitute r = x + 10 to p, which gives p = x + 51.\n5. Substitute x = c + 17 to p, which gives p = c + 68.\n6. Substitute c = 17 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 3018,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 17; e = o + 15; n = z + 8; r = x + 10; c = 17; p = h + 15; b = n + 15; v = c + 15; q = r + 3; h = g + 11; o = v + 10; z = e + 10; g = q + 12. If c = 17, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 8", "x": "f + 4", "n": "x + 8", "g": "n + 7", "t": "g + 4", "m": "t + 20", "v": "c + 2", "z": "v + 9", "p": "z + 6", "d": "p + 3", "i": "d + 12", "u": "i + 17", "c": 1}, "premises": {"c": 1}, "target": "m"}, "answer": {"steps": [["t", "g + 4", "g + 24"], ["g", "n + 7", "n + 31"], ["n", "x + 8", "x + 39"], ["x", "f + 4", "f + 43"], ["f", "c + 8", "c + 51"], ["c", 1, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"c": 1}, "is_reverse": true}}
| 3,019
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 8; g = n + 7; v = c + 2; m = t + 20; x = f + 4; z = v + 9; i = d + 12; n = x + 8; p = z + 6; u = i + 17; c = 1; d = p + 3; t = g + 4. If c = 1, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 4 to m, which gives m = g + 24.\n2. Substitute g = n + 7 to m, which gives m = n + 31.\n3. Substitute n = x + 8 to m, which gives m = x + 39.\n4. Substitute x = f + 4 to m, which gives m = f + 43.\n5. Substitute f = c + 8 to m, which gives m = c + 51.\n6. Substitute c = 1 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 3019,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 8; g = n + 7; v = c + 2; m = t + 20; x = f + 4; z = v + 9; i = d + 12; n = x + 8; p = z + 6; u = i + 17; c = 1; d = p + 3; t = g + 4. If c = 1, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 8", "b": "c + 9", "l": "b + 9", "q": "l + 15", "o": "q + 12", "y": "o + 20", "v": "n + 7", "r": "v + 10", "w": "r + 9", "f": "w + 9", "p": "f + 20", "e": "p + 16", "n": 5}, "premises": {"n": 5}, "target": "y"}, "answer": {"steps": [["o", "q + 12", "q + 32"], ["q", "l + 15", "l + 47"], ["l", "b + 9", "b + 56"], ["b", "c + 9", "c + 65"], ["c", "n + 8", "n + 73"], ["n", 5, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"n": 5}, "is_reverse": true}}
| 3,020
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 9; y = o + 20; o = q + 12; c = n + 8; e = p + 16; r = v + 10; v = n + 7; n = 5; q = l + 15; w = r + 9; f = w + 9; p = f + 20; b = c + 9. Given that n = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 12 to y, which gives y = q + 32.\n2. Substitute q = l + 15 to y, which gives y = l + 47.\n3. Substitute l = b + 9 to y, which gives y = b + 56.\n4. Substitute b = c + 9 to y, which gives y = c + 65.\n5. Substitute c = n + 8 to y, which gives y = n + 73.\n6. Substitute n = 5 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 3020,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 9; y = o + 20; o = q + 12; c = n + 8; e = p + 16; r = v + 10; v = n + 7; n = 5; q = l + 15; w = r + 9; f = w + 9; p = f + 20; b = c + 9. Given that n = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 18", "c": "n + 16", "e": "c + 14", "b": "e + 2", "q": "b + 1", "s": "q + 8", "l": "m + 2", "r": "l + 19", "t": "r + 1", "v": "t + 13", "i": "v + 8", "x": "i + 10", "m": 16}, "premises": {"m": 16}, "target": "s"}, "answer": {"steps": [["q", "b + 1", "b + 9"], ["b", "e + 2", "e + 11"], ["e", "c + 14", "c + 25"], ["c", "n + 16", "n + 41"], ["n", "m + 18", "m + 59"], ["m", 16, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"m": 16}, "is_reverse": true}}
| 3,021
| 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 + 14; c = n + 16; n = m + 18; x = i + 10; r = l + 19; i = v + 8; l = m + 2; s = q + 8; m = 16; b = e + 2; q = b + 1; v = t + 13; t = r + 1. If m = 16, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 1 to s, which gives s = b + 9.\n2. Substitute b = e + 2 to s, which gives s = e + 11.\n3. Substitute e = c + 14 to s, which gives s = c + 25.\n4. Substitute c = n + 16 to s, which gives s = n + 41.\n5. Substitute n = m + 18 to s, which gives s = m + 59.\n6. Substitute m = 16 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 3021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 14; c = n + 16; n = m + 18; x = i + 10; r = l + 19; i = v + 8; l = m + 2; s = q + 8; m = 16; b = e + 2; q = b + 1; v = t + 13; t = r + 1. If m = 16, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 6", "s": "a + 10", "j": "s + 8", "u": "j + 15", "v": "u + 4", "r": "v + 20", "z": "g + 7", "b": "z + 18", "i": "b + 19", "e": "i + 19", "t": "e + 8", "l": "t + 5", "g": 7}, "premises": {"g": 7}, "target": "r"}, "answer": {"steps": [["v", "u + 4", "u + 24"], ["u", "j + 15", "j + 39"], ["j", "s + 8", "s + 47"], ["s", "a + 10", "a + 57"], ["a", "g + 6", "g + 63"], ["g", 7, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"g": 7}, "is_reverse": true}}
| 3,022
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 8; b = z + 18; z = g + 7; v = u + 4; u = j + 15; l = t + 5; i = b + 19; r = v + 20; a = g + 6; e = i + 19; g = 7; s = a + 10; t = e + 8. Given that g = 7, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 4 to r, which gives r = u + 24.\n2. Substitute u = j + 15 to r, which gives r = j + 39.\n3. Substitute j = s + 8 to r, which gives r = s + 47.\n4. Substitute s = a + 10 to r, which gives r = a + 57.\n5. Substitute a = g + 6 to r, which gives r = g + 63.\n6. Substitute g = 7 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 3022,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 8; b = z + 18; z = g + 7; v = u + 4; u = j + 15; l = t + 5; i = b + 19; r = v + 20; a = g + 6; e = i + 19; g = 7; s = a + 10; t = e + 8. Given that g = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 4", "y": "d + 2", "t": "y + 7", "p": "t + 11", "q": "p + 15", "g": "q + 20", "u": "s + 2", "v": "u + 7", "e": "v + 17", "k": "e + 2", "f": "k + 6", "x": "f + 15", "s": 4}, "premises": {"s": 4}, "target": "g"}, "answer": {"steps": [["q", "p + 15", "p + 35"], ["p", "t + 11", "t + 46"], ["t", "y + 7", "y + 53"], ["y", "d + 2", "d + 55"], ["d", "s + 4", "s + 59"], ["s", 4, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"s": 4}, "is_reverse": true}}
| 3,023
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = q + 20; k = e + 2; v = u + 7; p = t + 11; f = k + 6; d = s + 4; s = 4; t = y + 7; u = s + 2; q = p + 15; x = f + 15; y = d + 2; e = v + 17. Given that s = 4, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 15 to g, which gives g = p + 35.\n2. Substitute p = t + 11 to g, which gives g = t + 46.\n3. Substitute t = y + 7 to g, which gives g = y + 53.\n4. Substitute y = d + 2 to g, which gives g = d + 55.\n5. Substitute d = s + 4 to g, which gives g = s + 59.\n6. Substitute s = 4 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 3023,
"question": "Suppose a collection of variables is related by the following definitions: g = q + 20; k = e + 2; v = u + 7; p = t + 11; f = k + 6; d = s + 4; s = 4; t = y + 7; u = s + 2; q = p + 15; x = f + 15; y = d + 2; e = v + 17. Given that s = 4, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 20", "y": "q + 6", "n": "y + 12", "d": "n + 10", "u": "d + 1", "g": "u + 16", "j": "k + 2", "x": "j + 3", "h": "x + 13", "l": "h + 17", "w": "l + 5", "z": "w + 8", "k": 16}, "premises": {"k": 16}, "target": "g"}, "answer": {"steps": [["u", "d + 1", "d + 17"], ["d", "n + 10", "n + 27"], ["n", "y + 12", "y + 39"], ["y", "q + 6", "q + 45"], ["q", "k + 20", "k + 65"], ["k", 16, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"k": 16}, "is_reverse": true}}
| 3,024
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 16; q = k + 20; d = n + 10; w = l + 5; k = 16; h = x + 13; x = j + 3; z = w + 8; l = h + 17; n = y + 12; y = q + 6; u = d + 1; j = k + 2. If k = 16, determine the 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 u = d + 1 to g, which gives g = d + 17.\n2. Substitute d = n + 10 to g, which gives g = n + 27.\n3. Substitute n = y + 12 to g, which gives g = y + 39.\n4. Substitute y = q + 6 to g, which gives g = q + 45.\n5. Substitute q = k + 20 to g, which gives g = k + 65.\n6. Substitute k = 16 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 3024,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 16; q = k + 20; d = n + 10; w = l + 5; k = 16; h = x + 13; x = j + 3; z = w + 8; l = h + 17; n = y + 12; y = q + 6; u = d + 1; j = k + 2. If k = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 19", "l": "e + 2", "y": "l + 15", "s": "y + 15", "x": "s + 16", "d": "x + 17", "u": "t + 6", "v": "u + 1", "c": "v + 9", "r": "c + 11", "q": "r + 12", "n": "q + 15", "t": 1}, "premises": {"t": 1}, "target": "d"}, "answer": {"steps": [["x", "s + 16", "s + 33"], ["s", "y + 15", "y + 48"], ["y", "l + 15", "l + 63"], ["l", "e + 2", "e + 65"], ["e", "t + 19", "t + 84"], ["t", 1, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"t": 1}, "is_reverse": true}}
| 3,025
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 19; t = 1; y = l + 15; v = u + 1; q = r + 12; x = s + 16; u = t + 6; n = q + 15; s = y + 15; r = c + 11; c = v + 9; d = x + 17; l = e + 2. If t = 1, what is the resulting 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 x = s + 16 to d, which gives d = s + 33.\n2. Substitute s = y + 15 to d, which gives d = y + 48.\n3. Substitute y = l + 15 to d, which gives d = l + 63.\n4. Substitute l = e + 2 to d, which gives d = e + 65.\n5. Substitute e = t + 19 to d, which gives d = t + 84.\n6. Substitute t = 1 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 3025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 19; t = 1; y = l + 15; v = u + 1; q = r + 12; x = s + 16; u = t + 6; n = q + 15; s = y + 15; r = c + 11; c = v + 9; d = x + 17; l = e + 2. If t = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 7", "p": "u + 6", "z": "p + 2", "q": "z + 8", "t": "q + 11", "s": "t + 7", "i": "j + 2", "x": "i + 2", "g": "x + 2", "y": "g + 20", "e": "y + 4", "c": "e + 20", "j": 13}, "premises": {"j": 13}, "target": "s"}, "answer": {"steps": [["t", "q + 11", "q + 18"], ["q", "z + 8", "z + 26"], ["z", "p + 2", "p + 28"], ["p", "u + 6", "u + 34"], ["u", "j + 7", "j + 41"], ["j", 13, "54"]], "target_var_name": "s", "target_value": 54, "value_dict": {"j": 13}, "is_reverse": true}}
| 3,026
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 2; p = u + 6; g = x + 2; i = j + 2; u = j + 7; t = q + 11; j = 13; e = y + 4; s = t + 7; c = e + 20; q = z + 8; z = p + 2; y = g + 20. If j = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 11 to s, which gives s = q + 18.\n2. Substitute q = z + 8 to s, which gives s = z + 26.\n3. Substitute z = p + 2 to s, which gives s = p + 28.\n4. Substitute p = u + 6 to s, which gives s = u + 34.\n5. Substitute u = j + 7 to s, which gives s = j + 41.\n6. Substitute j = 13 to s, which gives s = 54.\n\nThus, the final answer is s = \\boxed{54}.",
"index": 3026,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 2; p = u + 6; g = x + 2; i = j + 2; u = j + 7; t = q + 11; j = 13; e = y + 4; s = t + 7; c = e + 20; q = z + 8; z = p + 2; y = g + 20. If j = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 16", "y": "k + 12", "m": "y + 7", "s": "m + 18", "t": "s + 16", "e": "t + 12", "p": "a + 13", "n": "p + 2", "f": "n + 6", "z": "f + 14", "w": "z + 8", "u": "w + 13", "a": 3}, "premises": {"a": 3}, "target": "e"}, "answer": {"steps": [["t", "s + 16", "s + 28"], ["s", "m + 18", "m + 46"], ["m", "y + 7", "y + 53"], ["y", "k + 12", "k + 65"], ["k", "a + 16", "a + 81"], ["a", 3, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"a": 3}, "is_reverse": true}}
| 3,027
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = 3; s = m + 18; y = k + 12; e = t + 12; k = a + 16; f = n + 6; p = a + 13; z = f + 14; w = z + 8; n = p + 2; u = w + 13; m = y + 7; t = s + 16. Given that a = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 16 to e, which gives e = s + 28.\n2. Substitute s = m + 18 to e, which gives e = m + 46.\n3. Substitute m = y + 7 to e, which gives e = y + 53.\n4. Substitute y = k + 12 to e, which gives e = k + 65.\n5. Substitute k = a + 16 to e, which gives e = a + 81.\n6. Substitute a = 3 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 3027,
"question": "Suppose a collection of variables is related by the following definitions: a = 3; s = m + 18; y = k + 12; e = t + 12; k = a + 16; f = n + 6; p = a + 13; z = f + 14; w = z + 8; n = p + 2; u = w + 13; m = y + 7; t = s + 16. Given that a = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 1", "x": "l + 14", "m": "x + 11", "k": "m + 14", "b": "k + 12", "o": "b + 15", "c": "y + 14", "w": "c + 14", "v": "w + 1", "j": "v + 9", "i": "j + 1", "a": "i + 9", "y": 20}, "premises": {"y": 20}, "target": "o"}, "answer": {"steps": [["b", "k + 12", "k + 27"], ["k", "m + 14", "m + 41"], ["m", "x + 11", "x + 52"], ["x", "l + 14", "l + 66"], ["l", "y + 1", "y + 67"], ["y", 20, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"y": 20}, "is_reverse": true}}
| 3,028
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = 20; o = b + 15; m = x + 11; l = y + 1; b = k + 12; x = l + 14; j = v + 9; w = c + 14; c = y + 14; k = m + 14; a = i + 9; v = w + 1; i = j + 1. Given that y = 20, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 12 to o, which gives o = k + 27.\n2. Substitute k = m + 14 to o, which gives o = m + 41.\n3. Substitute m = x + 11 to o, which gives o = x + 52.\n4. Substitute x = l + 14 to o, which gives o = l + 66.\n5. Substitute l = y + 1 to o, which gives o = y + 67.\n6. Substitute y = 20 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 3028,
"question": "Suppose a collection of variables is related by the following definitions: y = 20; o = b + 15; m = x + 11; l = y + 1; b = k + 12; x = l + 14; j = v + 9; w = c + 14; c = y + 14; k = m + 14; a = i + 9; v = w + 1; i = j + 1. Given that y = 20, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 3", "d": "a + 15", "l": "d + 10", "m": "l + 8", "w": "m + 4", "j": "w + 16", "q": "n + 2", "k": "q + 11", "b": "k + 14", "h": "b + 19", "z": "h + 10", "r": "z + 13", "n": 16}, "premises": {"n": 16}, "target": "j"}, "answer": {"steps": [["w", "m + 4", "m + 20"], ["m", "l + 8", "l + 28"], ["l", "d + 10", "d + 38"], ["d", "a + 15", "a + 53"], ["a", "n + 3", "n + 56"], ["n", 16, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"n": 16}, "is_reverse": true}}
| 3,029
| 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 = l + 8; q = n + 2; a = n + 3; l = d + 10; b = k + 14; n = 16; k = q + 11; r = z + 13; z = h + 10; h = b + 19; j = w + 16; d = a + 15; w = m + 4. If n = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 4 to j, which gives j = m + 20.\n2. Substitute m = l + 8 to j, which gives j = l + 28.\n3. Substitute l = d + 10 to j, which gives j = d + 38.\n4. Substitute d = a + 15 to j, which gives j = a + 53.\n5. Substitute a = n + 3 to j, which gives j = n + 56.\n6. Substitute n = 16 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 3029,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 8; q = n + 2; a = n + 3; l = d + 10; b = k + 14; n = 16; k = q + 11; r = z + 13; z = h + 10; h = b + 19; j = w + 16; d = a + 15; w = m + 4. If n = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 18", "e": "b + 15", "p": "e + 2", "q": "p + 4", "u": "q + 18", "r": "u + 3", "w": "y + 9", "x": "w + 11", "a": "x + 3", "l": "a + 1", "i": "l + 19", "k": "i + 2", "y": 10}, "premises": {"y": 10}, "target": "r"}, "answer": {"steps": [["u", "q + 18", "q + 21"], ["q", "p + 4", "p + 25"], ["p", "e + 2", "e + 27"], ["e", "b + 15", "b + 42"], ["b", "y + 18", "y + 60"], ["y", 10, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"y": 10}, "is_reverse": true}}
| 3,030
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 4; y = 10; b = y + 18; u = q + 18; a = x + 3; e = b + 15; x = w + 11; l = a + 1; k = i + 2; i = l + 19; w = y + 9; r = u + 3; p = e + 2. Given that y = 10, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 18 to r, which gives r = q + 21.\n2. Substitute q = p + 4 to r, which gives r = p + 25.\n3. Substitute p = e + 2 to r, which gives r = e + 27.\n4. Substitute e = b + 15 to r, which gives r = b + 42.\n5. Substitute b = y + 18 to r, which gives r = y + 60.\n6. Substitute y = 10 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 3030,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 4; y = 10; b = y + 18; u = q + 18; a = x + 3; e = b + 15; x = w + 11; l = a + 1; k = i + 2; i = l + 19; w = y + 9; r = u + 3; p = e + 2. Given that y = 10, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 18", "e": "d + 9", "x": "e + 1", "i": "x + 15", "h": "i + 5", "s": "h + 13", "w": "r + 6", "t": "w + 19", "b": "t + 17", "v": "b + 10", "l": "v + 7", "g": "l + 14", "r": 4}, "premises": {"r": 4}, "target": "s"}, "answer": {"steps": [["h", "i + 5", "i + 18"], ["i", "x + 15", "x + 33"], ["x", "e + 1", "e + 34"], ["e", "d + 9", "d + 43"], ["d", "r + 18", "r + 61"], ["r", 4, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"r": 4}, "is_reverse": true}}
| 3,031
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 1; b = t + 17; g = l + 14; s = h + 13; l = v + 7; d = r + 18; r = 4; v = b + 10; i = x + 15; e = d + 9; t = w + 19; w = r + 6; h = i + 5. If r = 4, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 5 to s, which gives s = i + 18.\n2. Substitute i = x + 15 to s, which gives s = x + 33.\n3. Substitute x = e + 1 to s, which gives s = e + 34.\n4. Substitute e = d + 9 to s, which gives s = d + 43.\n5. Substitute d = r + 18 to s, which gives s = r + 61.\n6. Substitute r = 4 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 3031,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 1; b = t + 17; g = l + 14; s = h + 13; l = v + 7; d = r + 18; r = 4; v = b + 10; i = x + 15; e = d + 9; t = w + 19; w = r + 6; h = i + 5. If r = 4, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 12", "b": "d + 1", "f": "b + 17", "s": "f + 20", "t": "s + 2", "h": "t + 13", "g": "r + 1", "y": "g + 10", "i": "y + 14", "x": "i + 19", "c": "x + 20", "j": "c + 8", "r": 10}, "premises": {"r": 10}, "target": "h"}, "answer": {"steps": [["t", "s + 2", "s + 15"], ["s", "f + 20", "f + 35"], ["f", "b + 17", "b + 52"], ["b", "d + 1", "d + 53"], ["d", "r + 12", "r + 65"], ["r", 10, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"r": 10}, "is_reverse": true}}
| 3,032
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 20; i = y + 14; g = r + 1; s = f + 20; h = t + 13; j = c + 8; d = r + 12; f = b + 17; x = i + 19; t = s + 2; b = d + 1; r = 10; y = g + 10. If r = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 2 to h, which gives h = s + 15.\n2. Substitute s = f + 20 to h, which gives h = f + 35.\n3. Substitute f = b + 17 to h, which gives h = b + 52.\n4. Substitute b = d + 1 to h, which gives h = d + 53.\n5. Substitute d = r + 12 to h, which gives h = r + 65.\n6. Substitute r = 10 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 3032,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 20; i = y + 14; g = r + 1; s = f + 20; h = t + 13; j = c + 8; d = r + 12; f = b + 17; x = i + 19; t = s + 2; b = d + 1; r = 10; y = g + 10. If r = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 18", "m": "t + 3", "o": "m + 11", "s": "o + 14", "x": "s + 1", "p": "x + 2", "f": "d + 8", "y": "f + 14", "n": "y + 5", "u": "n + 14", "b": "u + 20", "k": "b + 15", "d": 2}, "premises": {"d": 2}, "target": "p"}, "answer": {"steps": [["x", "s + 1", "s + 3"], ["s", "o + 14", "o + 17"], ["o", "m + 11", "m + 28"], ["m", "t + 3", "t + 31"], ["t", "d + 18", "d + 49"], ["d", 2, "51"]], "target_var_name": "p", "target_value": 51, "value_dict": {"d": 2}, "is_reverse": true}}
| 3,033
| 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 = o + 14; u = n + 14; x = s + 1; f = d + 8; o = m + 11; n = y + 5; y = f + 14; b = u + 20; k = b + 15; t = d + 18; d = 2; p = x + 2; m = t + 3. If d = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 1 to p, which gives p = s + 3.\n2. Substitute s = o + 14 to p, which gives p = o + 17.\n3. Substitute o = m + 11 to p, which gives p = m + 28.\n4. Substitute m = t + 3 to p, which gives p = t + 31.\n5. Substitute t = d + 18 to p, which gives p = d + 49.\n6. Substitute d = 2 to p, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 3033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 14; u = n + 14; x = s + 1; f = d + 8; o = m + 11; n = y + 5; y = f + 14; b = u + 20; k = b + 15; t = d + 18; d = 2; p = x + 2; m = t + 3. If d = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 3", "z": "u + 15", "b": "z + 20", "s": "b + 1", "p": "s + 20", "r": "p + 15", "d": "o + 17", "y": "d + 20", "v": "y + 10", "t": "v + 19", "j": "t + 4", "k": "j + 7", "o": 11}, "premises": {"o": 11}, "target": "r"}, "answer": {"steps": [["p", "s + 20", "s + 35"], ["s", "b + 1", "b + 36"], ["b", "z + 20", "z + 56"], ["z", "u + 15", "u + 71"], ["u", "o + 3", "o + 74"], ["o", 11, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"o": 11}, "is_reverse": true}}
| 3,034
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 20; d = o + 17; u = o + 3; z = u + 15; j = t + 4; k = j + 7; r = p + 15; t = v + 19; b = z + 20; s = b + 1; v = y + 10; o = 11; p = s + 20. If o = 11, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 20 to r, which gives r = s + 35.\n2. Substitute s = b + 1 to r, which gives r = b + 36.\n3. Substitute b = z + 20 to r, which gives r = z + 56.\n4. Substitute z = u + 15 to r, which gives r = u + 71.\n5. Substitute u = o + 3 to r, which gives r = o + 74.\n6. Substitute o = 11 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 3034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 20; d = o + 17; u = o + 3; z = u + 15; j = t + 4; k = j + 7; r = p + 15; t = v + 19; b = z + 20; s = b + 1; v = y + 10; o = 11; p = s + 20. If o = 11, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 3", "x": "s + 3", "j": "x + 3", "q": "j + 19", "n": "q + 3", "v": "n + 12", "d": "y + 8", "o": "d + 17", "z": "o + 18", "t": "z + 12", "h": "t + 5", "w": "h + 18", "y": 5}, "premises": {"y": 5}, "target": "v"}, "answer": {"steps": [["n", "q + 3", "q + 15"], ["q", "j + 19", "j + 34"], ["j", "x + 3", "x + 37"], ["x", "s + 3", "s + 40"], ["s", "y + 3", "y + 43"], ["y", 5, "48"]], "target_var_name": "v", "target_value": 48, "value_dict": {"y": 5}, "is_reverse": true}}
| 3,035
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = t + 5; q = j + 19; d = y + 8; j = x + 3; y = 5; s = y + 3; v = n + 12; w = h + 18; t = z + 12; o = d + 17; z = o + 18; n = q + 3; x = s + 3. Given that y = 5, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 3 to v, which gives v = q + 15.\n2. Substitute q = j + 19 to v, which gives v = j + 34.\n3. Substitute j = x + 3 to v, which gives v = x + 37.\n4. Substitute x = s + 3 to v, which gives v = s + 40.\n5. Substitute s = y + 3 to v, which gives v = y + 43.\n6. Substitute y = 5 to v, which gives v = 48.\n\nThus, the final answer is v = \\boxed{48}.",
"index": 3035,
"question": "Suppose a collection of variables is related by the following definitions: h = t + 5; q = j + 19; d = y + 8; j = x + 3; y = 5; s = y + 3; v = n + 12; w = h + 18; t = z + 12; o = d + 17; z = o + 18; n = q + 3; x = s + 3. Given that y = 5, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 7", "a": "l + 12", "z": "a + 14", "g": "z + 13", "n": "g + 18", "j": "n + 5", "q": "f + 16", "y": "q + 16", "w": "y + 10", "r": "w + 4", "i": "r + 20", "c": "i + 10", "f": 1}, "premises": {"f": 1}, "target": "j"}, "answer": {"steps": [["n", "g + 18", "g + 23"], ["g", "z + 13", "z + 36"], ["z", "a + 14", "a + 50"], ["a", "l + 12", "l + 62"], ["l", "f + 7", "f + 69"], ["f", 1, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"f": 1}, "is_reverse": true}}
| 3,036
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 13; r = w + 4; c = i + 10; j = n + 5; a = l + 12; i = r + 20; n = g + 18; f = 1; l = f + 7; y = q + 16; w = y + 10; z = a + 14; q = f + 16. Given that f = 1, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 18 to j, which gives j = g + 23.\n2. Substitute g = z + 13 to j, which gives j = z + 36.\n3. Substitute z = a + 14 to j, which gives j = a + 50.\n4. Substitute a = l + 12 to j, which gives j = l + 62.\n5. Substitute l = f + 7 to j, which gives j = f + 69.\n6. Substitute f = 1 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 3036,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 13; r = w + 4; c = i + 10; j = n + 5; a = l + 12; i = r + 20; n = g + 18; f = 1; l = f + 7; y = q + 16; w = y + 10; z = a + 14; q = f + 16. Given that f = 1, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 16", "j": "e + 14", "w": "j + 5", "l": "w + 7", "b": "l + 1", "u": "b + 5", "q": "t + 7", "m": "q + 18", "v": "m + 16", "g": "v + 8", "z": "g + 8", "f": "z + 1", "t": 7}, "premises": {"t": 7}, "target": "u"}, "answer": {"steps": [["b", "l + 1", "l + 6"], ["l", "w + 7", "w + 13"], ["w", "j + 5", "j + 18"], ["j", "e + 14", "e + 32"], ["e", "t + 16", "t + 48"], ["t", 7, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"t": 7}, "is_reverse": true}}
| 3,037
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 7; v = m + 16; e = t + 16; u = b + 5; f = z + 1; m = q + 18; b = l + 1; g = v + 8; w = j + 5; l = w + 7; t = 7; j = e + 14; z = g + 8. Given that t = 7, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 1 to u, which gives u = l + 6.\n2. Substitute l = w + 7 to u, which gives u = w + 13.\n3. Substitute w = j + 5 to u, which gives u = j + 18.\n4. Substitute j = e + 14 to u, which gives u = e + 32.\n5. Substitute e = t + 16 to u, which gives u = t + 48.\n6. Substitute t = 7 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 3037,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 7; v = m + 16; e = t + 16; u = b + 5; f = z + 1; m = q + 18; b = l + 1; g = v + 8; w = j + 5; l = w + 7; t = 7; j = e + 14; z = g + 8. Given that t = 7, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 17", "d": "o + 8", "p": "d + 12", "a": "p + 10", "c": "a + 15", "g": "c + 8", "z": "k + 5", "n": "z + 16", "r": "n + 11", "j": "r + 13", "e": "j + 11", "q": "e + 10", "k": 13}, "premises": {"k": 13}, "target": "g"}, "answer": {"steps": [["c", "a + 15", "a + 23"], ["a", "p + 10", "p + 33"], ["p", "d + 12", "d + 45"], ["d", "o + 8", "o + 53"], ["o", "k + 17", "k + 70"], ["k", 13, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"k": 13}, "is_reverse": true}}
| 3,038
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 13; p = d + 12; n = z + 16; g = c + 8; d = o + 8; c = a + 15; a = p + 10; o = k + 17; z = k + 5; q = e + 10; e = j + 11; r = n + 11; j = r + 13. Given that k = 13, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 15 to g, which gives g = a + 23.\n2. Substitute a = p + 10 to g, which gives g = p + 33.\n3. Substitute p = d + 12 to g, which gives g = d + 45.\n4. Substitute d = o + 8 to g, which gives g = o + 53.\n5. Substitute o = k + 17 to g, which gives g = k + 70.\n6. Substitute k = 13 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 3038,
"question": "Suppose a collection of variables is related by the following definitions: k = 13; p = d + 12; n = z + 16; g = c + 8; d = o + 8; c = a + 15; a = p + 10; o = k + 17; z = k + 5; q = e + 10; e = j + 11; r = n + 11; j = r + 13. Given that k = 13, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 12", "e": "i + 5", "j": "e + 8", "y": "j + 19", "h": "y + 14", "b": "h + 17", "p": "t + 1", "d": "p + 8", "x": "d + 15", "w": "x + 6", "q": "w + 20", "r": "q + 12", "t": 9}, "premises": {"t": 9}, "target": "b"}, "answer": {"steps": [["h", "y + 14", "y + 31"], ["y", "j + 19", "j + 50"], ["j", "e + 8", "e + 58"], ["e", "i + 5", "i + 63"], ["i", "t + 12", "t + 75"], ["t", 9, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"t": 9}, "is_reverse": true}}
| 3,039
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 15; p = t + 1; d = p + 8; h = y + 14; w = x + 6; t = 9; i = t + 12; e = i + 5; q = w + 20; j = e + 8; y = j + 19; b = h + 17; r = q + 12. If t = 9, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 14 to b, which gives b = y + 31.\n2. Substitute y = j + 19 to b, which gives b = j + 50.\n3. Substitute j = e + 8 to b, which gives b = e + 58.\n4. Substitute e = i + 5 to b, which gives b = i + 63.\n5. Substitute i = t + 12 to b, which gives b = t + 75.\n6. Substitute t = 9 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 3039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 15; p = t + 1; d = p + 8; h = y + 14; w = x + 6; t = 9; i = t + 12; e = i + 5; q = w + 20; j = e + 8; y = j + 19; b = h + 17; r = q + 12. If t = 9, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 5", "a": "z + 18", "v": "a + 6", "d": "v + 19", "l": "d + 7", "e": "l + 9", "g": "b + 13", "p": "g + 10", "r": "p + 15", "k": "r + 12", "t": "k + 10", "u": "t + 6", "b": 19}, "premises": {"b": 19}, "target": "e"}, "answer": {"steps": [["l", "d + 7", "d + 16"], ["d", "v + 19", "v + 35"], ["v", "a + 6", "a + 41"], ["a", "z + 18", "z + 59"], ["z", "b + 5", "b + 64"], ["b", 19, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"b": 19}, "is_reverse": true}}
| 3,040
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 5; g = b + 13; p = g + 10; l = d + 7; b = 19; u = t + 6; r = p + 15; a = z + 18; t = k + 10; d = v + 19; e = l + 9; k = r + 12; v = a + 6. Given that b = 19, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 7 to e, which gives e = d + 16.\n2. Substitute d = v + 19 to e, which gives e = v + 35.\n3. Substitute v = a + 6 to e, which gives e = a + 41.\n4. Substitute a = z + 18 to e, which gives e = z + 59.\n5. Substitute z = b + 5 to e, which gives e = b + 64.\n6. Substitute b = 19 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 3040,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 5; g = b + 13; p = g + 10; l = d + 7; b = 19; u = t + 6; r = p + 15; a = z + 18; t = k + 10; d = v + 19; e = l + 9; k = r + 12; v = a + 6. Given that b = 19, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"u": "l + 9", "e": "u + 15", "k": "e + 19", "j": "k + 15", "p": "j + 11", "n": "p + 9", "i": "l + 20", "x": "i + 16", "s": "x + 19", "y": "s + 20", "d": "y + 4", "q": "d + 13", "l": 7}, "premises": {"l": 7}, "target": "n"}, "answer": {"steps": [["p", "j + 11", "j + 20"], ["j", "k + 15", "k + 35"], ["k", "e + 19", "e + 54"], ["e", "u + 15", "u + 69"], ["u", "l + 9", "l + 78"], ["l", 7, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"l": 7}, "is_reverse": true}}
| 3,041
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 9; i = l + 20; n = p + 9; y = s + 20; p = j + 11; k = e + 19; x = i + 16; d = y + 4; j = k + 15; s = x + 19; l = 7; e = u + 15; q = d + 13. If l = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 11 to n, which gives n = j + 20.\n2. Substitute j = k + 15 to n, which gives n = k + 35.\n3. Substitute k = e + 19 to n, which gives n = e + 54.\n4. Substitute e = u + 15 to n, which gives n = u + 69.\n5. Substitute u = l + 9 to n, which gives n = l + 78.\n6. Substitute l = 7 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 3041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 9; i = l + 20; n = p + 9; y = s + 20; p = j + 11; k = e + 19; x = i + 16; d = y + 4; j = k + 15; s = x + 19; l = 7; e = u + 15; q = d + 13. If l = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 12", "t": "u + 1", "b": "t + 18", "z": "b + 9", "y": "z + 1", "l": "y + 8", "m": "f + 18", "j": "m + 3", "a": "j + 6", "p": "a + 2", "d": "p + 5", "e": "d + 16", "f": 13}, "premises": {"f": 13}, "target": "l"}, "answer": {"steps": [["y", "z + 1", "z + 9"], ["z", "b + 9", "b + 18"], ["b", "t + 18", "t + 36"], ["t", "u + 1", "u + 37"], ["u", "f + 12", "f + 49"], ["f", 13, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"f": 13}, "is_reverse": true}}
| 3,042
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 8; z = b + 9; b = t + 18; t = u + 1; u = f + 12; f = 13; e = d + 16; a = j + 6; y = z + 1; d = p + 5; j = m + 3; p = a + 2; m = f + 18. Given that f = 13, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 1 to l, which gives l = z + 9.\n2. Substitute z = b + 9 to l, which gives l = b + 18.\n3. Substitute b = t + 18 to l, which gives l = t + 36.\n4. Substitute t = u + 1 to l, which gives l = u + 37.\n5. Substitute u = f + 12 to l, which gives l = f + 49.\n6. Substitute f = 13 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 3042,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 8; z = b + 9; b = t + 18; t = u + 1; u = f + 12; f = 13; e = d + 16; a = j + 6; y = z + 1; d = p + 5; j = m + 3; p = a + 2; m = f + 18. Given that f = 13, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 5", "a": "d + 12", "b": "a + 10", "v": "b + 12", "y": "v + 2", "f": "y + 1", "l": "i + 15", "w": "l + 10", "m": "w + 5", "g": "m + 8", "c": "g + 4", "h": "c + 18", "i": 20}, "premises": {"i": 20}, "target": "f"}, "answer": {"steps": [["y", "v + 2", "v + 3"], ["v", "b + 12", "b + 15"], ["b", "a + 10", "a + 25"], ["a", "d + 12", "d + 37"], ["d", "i + 5", "i + 42"], ["i", 20, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"i": 20}, "is_reverse": true}}
| 3,043
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 5; g = m + 8; l = i + 15; b = a + 10; h = c + 18; i = 20; f = y + 1; y = v + 2; w = l + 10; v = b + 12; d = i + 5; a = d + 12; c = g + 4. If i = 20, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 2 to f, which gives f = v + 3.\n2. Substitute v = b + 12 to f, which gives f = b + 15.\n3. Substitute b = a + 10 to f, which gives f = a + 25.\n4. Substitute a = d + 12 to f, which gives f = d + 37.\n5. Substitute d = i + 5 to f, which gives f = i + 42.\n6. Substitute i = 20 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 3043,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 5; g = m + 8; l = i + 15; b = a + 10; h = c + 18; i = 20; f = y + 1; y = v + 2; w = l + 10; v = b + 12; d = i + 5; a = d + 12; c = g + 4. If i = 20, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 14", "h": "c + 5", "i": "h + 17", "t": "i + 6", "m": "t + 14", "w": "m + 9", "g": "a + 13", "q": "g + 12", "d": "q + 17", "f": "d + 2", "b": "f + 1", "j": "b + 8", "a": 2}, "premises": {"a": 2}, "target": "w"}, "answer": {"steps": [["m", "t + 14", "t + 23"], ["t", "i + 6", "i + 29"], ["i", "h + 17", "h + 46"], ["h", "c + 5", "c + 51"], ["c", "a + 14", "a + 65"], ["a", 2, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"a": 2}, "is_reverse": true}}
| 3,044
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 1; c = a + 14; w = m + 9; j = b + 8; f = d + 2; d = q + 17; q = g + 12; i = h + 17; m = t + 14; t = i + 6; h = c + 5; g = a + 13; a = 2. Given that a = 2, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 14 to w, which gives w = t + 23.\n2. Substitute t = i + 6 to w, which gives w = i + 29.\n3. Substitute i = h + 17 to w, which gives w = h + 46.\n4. Substitute h = c + 5 to w, which gives w = c + 51.\n5. Substitute c = a + 14 to w, which gives w = a + 65.\n6. Substitute a = 2 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 3044,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 1; c = a + 14; w = m + 9; j = b + 8; f = d + 2; d = q + 17; q = g + 12; i = h + 17; m = t + 14; t = i + 6; h = c + 5; g = a + 13; a = 2. Given that a = 2, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 12", "k": "s + 14", "f": "k + 5", "m": "f + 2", "i": "m + 20", "b": "i + 5", "a": "x + 10", "o": "a + 18", "g": "o + 13", "c": "g + 7", "w": "c + 7", "q": "w + 20", "x": 6}, "premises": {"x": 6}, "target": "b"}, "answer": {"steps": [["i", "m + 20", "m + 25"], ["m", "f + 2", "f + 27"], ["f", "k + 5", "k + 32"], ["k", "s + 14", "s + 46"], ["s", "x + 12", "x + 58"], ["x", 6, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"x": 6}, "is_reverse": true}}
| 3,045
| 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 = s + 14; m = f + 2; a = x + 10; f = k + 5; c = g + 7; b = i + 5; w = c + 7; x = 6; g = o + 13; q = w + 20; i = m + 20; o = a + 18; s = x + 12. If x = 6, what is the resulting 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 i = m + 20 to b, which gives b = m + 25.\n2. Substitute m = f + 2 to b, which gives b = f + 27.\n3. Substitute f = k + 5 to b, which gives b = k + 32.\n4. Substitute k = s + 14 to b, which gives b = s + 46.\n5. Substitute s = x + 12 to b, which gives b = x + 58.\n6. Substitute x = 6 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 3045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 14; m = f + 2; a = x + 10; f = k + 5; c = g + 7; b = i + 5; w = c + 7; x = 6; g = o + 13; q = w + 20; i = m + 20; o = a + 18; s = x + 12. If x = 6, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"x": "p + 18", "k": "x + 5", "g": "k + 4", "w": "g + 11", "m": "w + 16", "n": "m + 17", "t": "p + 5", "u": "t + 5", "f": "u + 6", "c": "f + 8", "z": "c + 20", "o": "z + 7", "p": 18}, "premises": {"p": 18}, "target": "n"}, "answer": {"steps": [["m", "w + 16", "w + 33"], ["w", "g + 11", "g + 44"], ["g", "k + 4", "k + 48"], ["k", "x + 5", "x + 53"], ["x", "p + 18", "p + 71"], ["p", 18, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"p": 18}, "is_reverse": true}}
| 3,046
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 8; m = w + 16; z = c + 20; w = g + 11; t = p + 5; g = k + 4; o = z + 7; x = p + 18; u = t + 5; p = 18; n = m + 17; k = x + 5; f = u + 6. If p = 18, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 16 to n, which gives n = w + 33.\n2. Substitute w = g + 11 to n, which gives n = g + 44.\n3. Substitute g = k + 4 to n, which gives n = k + 48.\n4. Substitute k = x + 5 to n, which gives n = x + 53.\n5. Substitute x = p + 18 to n, which gives n = p + 71.\n6. Substitute p = 18 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 3046,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 8; m = w + 16; z = c + 20; w = g + 11; t = p + 5; g = k + 4; o = z + 7; x = p + 18; u = t + 5; p = 18; n = m + 17; k = x + 5; f = u + 6. If p = 18, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 10", "l": "n + 16", "z": "l + 3", "w": "z + 7", "y": "w + 11", "i": "y + 16", "u": "k + 4", "j": "u + 9", "h": "j + 19", "s": "h + 11", "q": "s + 5", "g": "q + 3", "k": 12}, "premises": {"k": 12}, "target": "i"}, "answer": {"steps": [["y", "w + 11", "w + 27"], ["w", "z + 7", "z + 34"], ["z", "l + 3", "l + 37"], ["l", "n + 16", "n + 53"], ["n", "k + 10", "k + 63"], ["k", 12, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"k": 12}, "is_reverse": true}}
| 3,047
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; g = q + 3; s = h + 11; h = j + 19; u = k + 4; k = 12; y = w + 11; i = y + 16; q = s + 5; z = l + 3; l = n + 16; j = u + 9; w = z + 7. If k = 12, what is the resulting 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 y = w + 11 to i, which gives i = w + 27.\n2. Substitute w = z + 7 to i, which gives i = z + 34.\n3. Substitute z = l + 3 to i, which gives i = l + 37.\n4. Substitute l = n + 16 to i, which gives i = n + 53.\n5. Substitute n = k + 10 to i, which gives i = k + 63.\n6. Substitute k = 12 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 3047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; g = q + 3; s = h + 11; h = j + 19; u = k + 4; k = 12; y = w + 11; i = y + 16; q = s + 5; z = l + 3; l = n + 16; j = u + 9; w = z + 7. If k = 12, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 2", "q": "p + 4", "m": "q + 14", "h": "m + 7", "k": "h + 5", "v": "k + 15", "j": "d + 13", "b": "j + 20", "o": "b + 18", "c": "o + 11", "s": "c + 17", "u": "s + 7", "d": 11}, "premises": {"d": 11}, "target": "v"}, "answer": {"steps": [["k", "h + 5", "h + 20"], ["h", "m + 7", "m + 27"], ["m", "q + 14", "q + 41"], ["q", "p + 4", "p + 45"], ["p", "d + 2", "d + 47"], ["d", 11, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"d": 11}, "is_reverse": true}}
| 3,048
| 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 = j + 20; m = q + 14; j = d + 13; s = c + 17; d = 11; o = b + 18; q = p + 4; v = k + 15; k = h + 5; u = s + 7; h = m + 7; p = d + 2; c = o + 11. If d = 11, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 5 to v, which gives v = h + 20.\n2. Substitute h = m + 7 to v, which gives v = m + 27.\n3. Substitute m = q + 14 to v, which gives v = q + 41.\n4. Substitute q = p + 4 to v, which gives v = p + 45.\n5. Substitute p = d + 2 to v, which gives v = d + 47.\n6. Substitute d = 11 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 3048,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 20; m = q + 14; j = d + 13; s = c + 17; d = 11; o = b + 18; q = p + 4; v = k + 15; k = h + 5; u = s + 7; h = m + 7; p = d + 2; c = o + 11. If d = 11, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 4", "u": "m + 20", "f": "u + 10", "j": "f + 3", "z": "j + 20", "a": "z + 11", "e": "k + 3", "t": "e + 1", "x": "t + 11", "b": "x + 3", "y": "b + 20", "i": "y + 16", "k": 12}, "premises": {"k": 12}, "target": "a"}, "answer": {"steps": [["z", "j + 20", "j + 31"], ["j", "f + 3", "f + 34"], ["f", "u + 10", "u + 44"], ["u", "m + 20", "m + 64"], ["m", "k + 4", "k + 68"], ["k", 12, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"k": 12}, "is_reverse": true}}
| 3,049
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = 12; x = t + 11; f = u + 10; i = y + 16; e = k + 3; a = z + 11; z = j + 20; t = e + 1; y = b + 20; m = k + 4; b = x + 3; j = f + 3; u = m + 20. If k = 12, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 20 to a, which gives a = j + 31.\n2. Substitute j = f + 3 to a, which gives a = f + 34.\n3. Substitute f = u + 10 to a, which gives a = u + 44.\n4. Substitute u = m + 20 to a, which gives a = m + 64.\n5. Substitute m = k + 4 to a, which gives a = k + 68.\n6. Substitute k = 12 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 3049,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 12; x = t + 11; f = u + 10; i = y + 16; e = k + 3; a = z + 11; z = j + 20; t = e + 1; y = b + 20; m = k + 4; b = x + 3; j = f + 3; u = m + 20. If k = 12, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 4", "p": "d + 6", "w": "p + 11", "r": "w + 8", "e": "r + 3", "l": "e + 14", "g": "v + 6", "h": "g + 16", "f": "h + 6", "i": "f + 13", "j": "i + 12", "k": "j + 3", "v": 11}, "premises": {"v": 11}, "target": "l"}, "answer": {"steps": [["e", "r + 3", "r + 17"], ["r", "w + 8", "w + 25"], ["w", "p + 11", "p + 36"], ["p", "d + 6", "d + 42"], ["d", "v + 4", "v + 46"], ["v", 11, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"v": 11}, "is_reverse": true}}
| 3,050
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 12; k = j + 3; w = p + 11; d = v + 4; l = e + 14; h = g + 16; r = w + 8; v = 11; g = v + 6; e = r + 3; p = d + 6; f = h + 6; i = f + 13. Given that v = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 3 to l, which gives l = r + 17.\n2. Substitute r = w + 8 to l, which gives l = w + 25.\n3. Substitute w = p + 11 to l, which gives l = p + 36.\n4. Substitute p = d + 6 to l, which gives l = d + 42.\n5. Substitute d = v + 4 to l, which gives l = v + 46.\n6. Substitute v = 11 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 3050,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 12; k = j + 3; w = p + 11; d = v + 4; l = e + 14; h = g + 16; r = w + 8; v = 11; g = v + 6; e = r + 3; p = d + 6; f = h + 6; i = f + 13. Given that v = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 3", "d": "j + 1", "v": "d + 17", "x": "v + 7", "t": "x + 7", "b": "t + 11", "i": "a + 1", "l": "i + 1", "k": "l + 11", "g": "k + 4", "h": "g + 10", "p": "h + 7", "a": 5}, "premises": {"a": 5}, "target": "b"}, "answer": {"steps": [["t", "x + 7", "x + 18"], ["x", "v + 7", "v + 25"], ["v", "d + 17", "d + 42"], ["d", "j + 1", "j + 43"], ["j", "a + 3", "a + 46"], ["a", 5, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"a": 5}, "is_reverse": true}}
| 3,051
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 1; a = 5; g = k + 4; v = d + 17; p = h + 7; b = t + 11; k = l + 11; h = g + 10; d = j + 1; j = a + 3; i = a + 1; x = v + 7; t = x + 7. Given that a = 5, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 7 to b, which gives b = x + 18.\n2. Substitute x = v + 7 to b, which gives b = v + 25.\n3. Substitute v = d + 17 to b, which gives b = d + 42.\n4. Substitute d = j + 1 to b, which gives b = j + 43.\n5. Substitute j = a + 3 to b, which gives b = a + 46.\n6. Substitute a = 5 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 3051,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 1; a = 5; g = k + 4; v = d + 17; p = h + 7; b = t + 11; k = l + 11; h = g + 10; d = j + 1; j = a + 3; i = a + 1; x = v + 7; t = x + 7. Given that a = 5, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 3", "c": "q + 14", "s": "c + 6", "v": "s + 16", "w": "v + 10", "z": "w + 18", "o": "r + 2", "t": "o + 4", "y": "t + 6", "g": "y + 13", "d": "g + 19", "j": "d + 13", "r": 1}, "premises": {"r": 1}, "target": "z"}, "answer": {"steps": [["w", "v + 10", "v + 28"], ["v", "s + 16", "s + 44"], ["s", "c + 6", "c + 50"], ["c", "q + 14", "q + 64"], ["q", "r + 3", "r + 67"], ["r", 1, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"r": 1}, "is_reverse": true}}
| 3,052
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 3; w = v + 10; r = 1; t = o + 4; o = r + 2; s = c + 6; y = t + 6; v = s + 16; d = g + 19; z = w + 18; j = d + 13; g = y + 13; c = q + 14. If r = 1, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 10 to z, which gives z = v + 28.\n2. Substitute v = s + 16 to z, which gives z = s + 44.\n3. Substitute s = c + 6 to z, which gives z = c + 50.\n4. Substitute c = q + 14 to z, which gives z = q + 64.\n5. Substitute q = r + 3 to z, which gives z = r + 67.\n6. Substitute r = 1 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 3052,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 3; w = v + 10; r = 1; t = o + 4; o = r + 2; s = c + 6; y = t + 6; v = s + 16; d = g + 19; z = w + 18; j = d + 13; g = y + 13; c = q + 14. If r = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 6", "s": "h + 14", "g": "s + 19", "l": "g + 2", "b": "l + 20", "x": "b + 19", "e": "u + 18", "w": "e + 3", "n": "w + 4", "a": "n + 11", "k": "a + 2", "i": "k + 20", "u": 6}, "premises": {"u": 6}, "target": "x"}, "answer": {"steps": [["b", "l + 20", "l + 39"], ["l", "g + 2", "g + 41"], ["g", "s + 19", "s + 60"], ["s", "h + 14", "h + 74"], ["h", "u + 6", "u + 80"], ["u", 6, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"u": 6}, "is_reverse": true}}
| 3,053
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 20; u = 6; g = s + 19; s = h + 14; w = e + 3; l = g + 2; n = w + 4; b = l + 20; x = b + 19; h = u + 6; k = a + 2; a = n + 11; e = u + 18. If u = 6, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 20 to x, which gives x = l + 39.\n2. Substitute l = g + 2 to x, which gives x = g + 41.\n3. Substitute g = s + 19 to x, which gives x = s + 60.\n4. Substitute s = h + 14 to x, which gives x = h + 74.\n5. Substitute h = u + 6 to x, which gives x = u + 80.\n6. Substitute u = 6 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 3053,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 20; u = 6; g = s + 19; s = h + 14; w = e + 3; l = g + 2; n = w + 4; b = l + 20; x = b + 19; h = u + 6; k = a + 2; a = n + 11; e = u + 18. If u = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 14", "m": "s + 2", "v": "m + 12", "h": "v + 20", "n": "h + 1", "u": "n + 16", "q": "y + 6", "j": "q + 13", "g": "j + 6", "r": "g + 8", "e": "r + 15", "i": "e + 2", "y": 6}, "premises": {"y": 6}, "target": "u"}, "answer": {"steps": [["n", "h + 1", "h + 17"], ["h", "v + 20", "v + 37"], ["v", "m + 12", "m + 49"], ["m", "s + 2", "s + 51"], ["s", "y + 14", "y + 65"], ["y", 6, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"y": 6}, "is_reverse": true}}
| 3,054
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = h + 1; s = y + 14; h = v + 20; y = 6; u = n + 16; m = s + 2; v = m + 12; i = e + 2; e = r + 15; g = j + 6; j = q + 13; q = y + 6; r = g + 8. Given that y = 6, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 1 to u, which gives u = h + 17.\n2. Substitute h = v + 20 to u, which gives u = v + 37.\n3. Substitute v = m + 12 to u, which gives u = m + 49.\n4. Substitute m = s + 2 to u, which gives u = s + 51.\n5. Substitute s = y + 14 to u, which gives u = y + 65.\n6. Substitute y = 6 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 3054,
"question": "Suppose a collection of variables is related by the following definitions: n = h + 1; s = y + 14; h = v + 20; y = 6; u = n + 16; m = s + 2; v = m + 12; i = e + 2; e = r + 15; g = j + 6; j = q + 13; q = y + 6; r = g + 8. Given that y = 6, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 4", "d": "s + 11", "b": "d + 18", "z": "b + 17", "m": "z + 15", "v": "m + 8", "i": "l + 12", "t": "i + 1", "y": "t + 13", "u": "y + 2", "e": "u + 8", "c": "e + 9", "l": 1}, "premises": {"l": 1}, "target": "v"}, "answer": {"steps": [["m", "z + 15", "z + 23"], ["z", "b + 17", "b + 40"], ["b", "d + 18", "d + 58"], ["d", "s + 11", "s + 69"], ["s", "l + 4", "l + 73"], ["l", 1, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"l": 1}, "is_reverse": true}}
| 3,055
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 1; y = t + 13; i = l + 12; z = b + 17; t = i + 1; c = e + 9; e = u + 8; v = m + 8; d = s + 11; s = l + 4; m = z + 15; u = y + 2; b = d + 18. If l = 1, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 15 to v, which gives v = z + 23.\n2. Substitute z = b + 17 to v, which gives v = b + 40.\n3. Substitute b = d + 18 to v, which gives v = d + 58.\n4. Substitute d = s + 11 to v, which gives v = s + 69.\n5. Substitute s = l + 4 to v, which gives v = l + 73.\n6. Substitute l = 1 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 3055,
"question": "Consider a system of variables where each variable is defined as follows: l = 1; y = t + 13; i = l + 12; z = b + 17; t = i + 1; c = e + 9; e = u + 8; v = m + 8; d = s + 11; s = l + 4; m = z + 15; u = y + 2; b = d + 18. If l = 1, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 9", "k": "a + 8", "w": "k + 18", "i": "w + 12", "g": "i + 20", "t": "g + 12", "z": "m + 8", "h": "z + 4", "x": "h + 9", "n": "x + 19", "b": "n + 12", "o": "b + 14", "m": 18}, "premises": {"m": 18}, "target": "t"}, "answer": {"steps": [["g", "i + 20", "i + 32"], ["i", "w + 12", "w + 44"], ["w", "k + 18", "k + 62"], ["k", "a + 8", "a + 70"], ["a", "m + 9", "m + 79"], ["m", 18, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"m": 18}, "is_reverse": true}}
| 3,056
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 8; g = i + 20; b = n + 12; i = w + 12; n = x + 19; t = g + 12; a = m + 9; h = z + 4; m = 18; z = m + 8; o = b + 14; x = h + 9; w = k + 18. If m = 18, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 20 to t, which gives t = i + 32.\n2. Substitute i = w + 12 to t, which gives t = w + 44.\n3. Substitute w = k + 18 to t, which gives t = k + 62.\n4. Substitute k = a + 8 to t, which gives t = a + 70.\n5. Substitute a = m + 9 to t, which gives t = m + 79.\n6. Substitute m = 18 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 3056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 8; g = i + 20; b = n + 12; i = w + 12; n = x + 19; t = g + 12; a = m + 9; h = z + 4; m = 18; z = m + 8; o = b + 14; x = h + 9; w = k + 18. If m = 18, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 20", "f": "v + 7", "d": "f + 10", "x": "d + 20", "l": "x + 10", "s": "l + 6", "i": "e + 6", "r": "i + 16", "h": "r + 20", "p": "h + 18", "q": "p + 12", "o": "q + 6", "e": 1}, "premises": {"e": 1}, "target": "s"}, "answer": {"steps": [["l", "x + 10", "x + 16"], ["x", "d + 20", "d + 36"], ["d", "f + 10", "f + 46"], ["f", "v + 7", "v + 53"], ["v", "e + 20", "e + 73"], ["e", 1, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"e": 1}, "is_reverse": true}}
| 3,057
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 1; i = e + 6; p = h + 18; l = x + 10; d = f + 10; x = d + 20; h = r + 20; s = l + 6; v = e + 20; o = q + 6; f = v + 7; r = i + 16; q = p + 12. If e = 1, 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 l = x + 10 to s, which gives s = x + 16.\n2. Substitute x = d + 20 to s, which gives s = d + 36.\n3. Substitute d = f + 10 to s, which gives s = f + 46.\n4. Substitute f = v + 7 to s, which gives s = v + 53.\n5. Substitute v = e + 20 to s, which gives s = e + 73.\n6. Substitute e = 1 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 3057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 1; i = e + 6; p = h + 18; l = x + 10; d = f + 10; x = d + 20; h = r + 20; s = l + 6; v = e + 20; o = q + 6; f = v + 7; r = i + 16; q = p + 12. If e = 1, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 17", "j": "i + 8", "k": "j + 12", "v": "k + 7", "h": "v + 9", "n": "h + 2", "u": "a + 13", "y": "u + 13", "p": "y + 11", "c": "p + 20", "g": "c + 11", "m": "g + 2", "a": 1}, "premises": {"a": 1}, "target": "n"}, "answer": {"steps": [["h", "v + 9", "v + 11"], ["v", "k + 7", "k + 18"], ["k", "j + 12", "j + 30"], ["j", "i + 8", "i + 38"], ["i", "a + 17", "a + 55"], ["a", 1, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"a": 1}, "is_reverse": true}}
| 3,058
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = a + 13; m = g + 2; k = j + 12; h = v + 9; v = k + 7; g = c + 11; i = a + 17; j = i + 8; y = u + 13; p = y + 11; n = h + 2; c = p + 20; a = 1. If a = 1, 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 h = v + 9 to n, which gives n = v + 11.\n2. Substitute v = k + 7 to n, which gives n = k + 18.\n3. Substitute k = j + 12 to n, which gives n = j + 30.\n4. Substitute j = i + 8 to n, which gives n = i + 38.\n5. Substitute i = a + 17 to n, which gives n = a + 55.\n6. Substitute a = 1 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 3058,
"question": "Consider a system of variables where each variable is defined as follows: u = a + 13; m = g + 2; k = j + 12; h = v + 9; v = k + 7; g = c + 11; i = a + 17; j = i + 8; y = u + 13; p = y + 11; n = h + 2; c = p + 20; a = 1. If a = 1, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 1", "f": "v + 20", "h": "f + 12", "z": "h + 5", "i": "z + 3", "d": "i + 13", "g": "u + 10", "b": "g + 13", "k": "b + 4", "n": "k + 8", "j": "n + 4", "r": "j + 18", "u": 8}, "premises": {"u": 8}, "target": "d"}, "answer": {"steps": [["i", "z + 3", "z + 16"], ["z", "h + 5", "h + 21"], ["h", "f + 12", "f + 33"], ["f", "v + 20", "v + 53"], ["v", "u + 1", "u + 54"], ["u", 8, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"u": 8}, "is_reverse": true}}
| 3,059
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 4; n = k + 8; h = f + 12; z = h + 5; r = j + 18; b = g + 13; g = u + 10; f = v + 20; u = 8; d = i + 13; v = u + 1; i = z + 3; j = n + 4. Given that u = 8, find the 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 i = z + 3 to d, which gives d = z + 16.\n2. Substitute z = h + 5 to d, which gives d = h + 21.\n3. Substitute h = f + 12 to d, which gives d = f + 33.\n4. Substitute f = v + 20 to d, which gives d = v + 53.\n5. Substitute v = u + 1 to d, which gives d = u + 54.\n6. Substitute u = 8 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 3059,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 4; n = k + 8; h = f + 12; z = h + 5; r = j + 18; b = g + 13; g = u + 10; f = v + 20; u = 8; d = i + 13; v = u + 1; i = z + 3; j = n + 4. Given that u = 8, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 20", "v": "x + 7", "n": "v + 13", "r": "n + 8", "o": "r + 16", "b": "o + 7", "q": "w + 1", "m": "q + 11", "e": "m + 19", "f": "e + 19", "i": "f + 20", "y": "i + 19", "w": 9}, "premises": {"w": 9}, "target": "b"}, "answer": {"steps": [["o", "r + 16", "r + 23"], ["r", "n + 8", "n + 31"], ["n", "v + 13", "v + 44"], ["v", "x + 7", "x + 51"], ["x", "w + 20", "w + 71"], ["w", 9, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"w": 9}, "is_reverse": true}}
| 3,060
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 7; q = w + 1; x = w + 20; r = n + 8; v = x + 7; e = m + 19; w = 9; i = f + 20; n = v + 13; f = e + 19; y = i + 19; m = q + 11; o = r + 16. If w = 9, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 16 to b, which gives b = r + 23.\n2. Substitute r = n + 8 to b, which gives b = n + 31.\n3. Substitute n = v + 13 to b, which gives b = v + 44.\n4. Substitute v = x + 7 to b, which gives b = x + 51.\n5. Substitute x = w + 20 to b, which gives b = w + 71.\n6. Substitute w = 9 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 3060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 7; q = w + 1; x = w + 20; r = n + 8; v = x + 7; e = m + 19; w = 9; i = f + 20; n = v + 13; f = e + 19; y = i + 19; m = q + 11; o = r + 16. If w = 9, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 6", "n": "r + 8", "t": "n + 6", "j": "t + 4", "f": "j + 8", "b": "f + 17", "a": "e + 5", "x": "a + 20", "p": "x + 11", "q": "p + 2", "m": "q + 15", "k": "m + 13", "e": 19}, "premises": {"e": 19}, "target": "b"}, "answer": {"steps": [["f", "j + 8", "j + 25"], ["j", "t + 4", "t + 29"], ["t", "n + 6", "n + 35"], ["n", "r + 8", "r + 43"], ["r", "e + 6", "e + 49"], ["e", 19, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"e": 19}, "is_reverse": true}}
| 3,061
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 6; j = t + 4; b = f + 17; p = x + 11; x = a + 20; k = m + 13; f = j + 8; r = e + 6; a = e + 5; q = p + 2; n = r + 8; e = 19; m = q + 15. If e = 19, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 8 to b, which gives b = j + 25.\n2. Substitute j = t + 4 to b, which gives b = t + 29.\n3. Substitute t = n + 6 to b, which gives b = n + 35.\n4. Substitute n = r + 8 to b, which gives b = r + 43.\n5. Substitute r = e + 6 to b, which gives b = e + 49.\n6. Substitute e = 19 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 3061,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 6; j = t + 4; b = f + 17; p = x + 11; x = a + 20; k = m + 13; f = j + 8; r = e + 6; a = e + 5; q = p + 2; n = r + 8; e = 19; m = q + 15. If e = 19, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 14", "t": "y + 19", "x": "t + 12", "b": "x + 6", "g": "b + 5", "p": "g + 17", "q": "r + 14", "d": "q + 8", "i": "d + 5", "u": "i + 19", "l": "u + 4", "c": "l + 11", "r": 14}, "premises": {"r": 14}, "target": "p"}, "answer": {"steps": [["g", "b + 5", "b + 22"], ["b", "x + 6", "x + 28"], ["x", "t + 12", "t + 40"], ["t", "y + 19", "y + 59"], ["y", "r + 14", "r + 73"], ["r", 14, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"r": 14}, "is_reverse": true}}
| 3,062
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 19; x = t + 12; g = b + 5; c = l + 11; p = g + 17; l = u + 4; d = q + 8; t = y + 19; i = d + 5; b = x + 6; q = r + 14; r = 14; y = r + 14. Given that r = 14, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 5 to p, which gives p = b + 22.\n2. Substitute b = x + 6 to p, which gives p = x + 28.\n3. Substitute x = t + 12 to p, which gives p = t + 40.\n4. Substitute t = y + 19 to p, which gives p = y + 59.\n5. Substitute y = r + 14 to p, which gives p = r + 73.\n6. Substitute r = 14 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 3062,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 19; x = t + 12; g = b + 5; c = l + 11; p = g + 17; l = u + 4; d = q + 8; t = y + 19; i = d + 5; b = x + 6; q = r + 14; r = 14; y = r + 14. Given that r = 14, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 4", "s": "p + 10", "b": "s + 14", "z": "b + 15", "y": "z + 14", "l": "y + 7", "f": "k + 4", "i": "f + 1", "j": "i + 7", "q": "j + 14", "n": "q + 8", "h": "n + 7", "k": 10}, "premises": {"k": 10}, "target": "l"}, "answer": {"steps": [["y", "z + 14", "z + 21"], ["z", "b + 15", "b + 36"], ["b", "s + 14", "s + 50"], ["s", "p + 10", "p + 60"], ["p", "k + 4", "k + 64"], ["k", 10, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"k": 10}, "is_reverse": true}}
| 3,063
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 14; k = 10; i = f + 1; l = y + 7; j = i + 7; h = n + 7; q = j + 14; z = b + 15; y = z + 14; p = k + 4; s = p + 10; n = q + 8; f = k + 4. If k = 10, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 14 to l, which gives l = z + 21.\n2. Substitute z = b + 15 to l, which gives l = b + 36.\n3. Substitute b = s + 14 to l, which gives l = s + 50.\n4. Substitute s = p + 10 to l, which gives l = p + 60.\n5. Substitute p = k + 4 to l, which gives l = k + 64.\n6. Substitute k = 10 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 3063,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 14; k = 10; i = f + 1; l = y + 7; j = i + 7; h = n + 7; q = j + 14; z = b + 15; y = z + 14; p = k + 4; s = p + 10; n = q + 8; f = k + 4. If k = 10, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 11", "e": "z + 20", "y": "e + 20", "s": "y + 5", "r": "s + 10", "l": "r + 12", "c": "p + 6", "b": "c + 16", "w": "b + 19", "f": "w + 12", "j": "f + 9", "g": "j + 1", "p": 1}, "premises": {"p": 1}, "target": "l"}, "answer": {"steps": [["r", "s + 10", "s + 22"], ["s", "y + 5", "y + 27"], ["y", "e + 20", "e + 47"], ["e", "z + 20", "z + 67"], ["z", "p + 11", "p + 78"], ["p", 1, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"p": 1}, "is_reverse": true}}
| 3,064
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = c + 16; z = p + 11; g = j + 1; c = p + 6; p = 1; e = z + 20; f = w + 12; w = b + 19; j = f + 9; s = y + 5; r = s + 10; l = r + 12; y = e + 20. Given that p = 1, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 10 to l, which gives l = s + 22.\n2. Substitute s = y + 5 to l, which gives l = y + 27.\n3. Substitute y = e + 20 to l, which gives l = e + 47.\n4. Substitute e = z + 20 to l, which gives l = z + 67.\n5. Substitute z = p + 11 to l, which gives l = p + 78.\n6. Substitute p = 1 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 3064,
"question": "Suppose a collection of variables is related by the following definitions: b = c + 16; z = p + 11; g = j + 1; c = p + 6; p = 1; e = z + 20; f = w + 12; w = b + 19; j = f + 9; s = y + 5; r = s + 10; l = r + 12; y = e + 20. Given that p = 1, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 16", "b": "p + 7", "n": "b + 18", "l": "n + 1", "z": "l + 3", "w": "z + 18", "j": "x + 5", "a": "j + 6", "g": "a + 10", "u": "g + 8", "o": "u + 14", "t": "o + 18", "x": 4}, "premises": {"x": 4}, "target": "w"}, "answer": {"steps": [["z", "l + 3", "l + 21"], ["l", "n + 1", "n + 22"], ["n", "b + 18", "b + 40"], ["b", "p + 7", "p + 47"], ["p", "x + 16", "x + 63"], ["x", 4, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"x": 4}, "is_reverse": true}}
| 3,065
| 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 = j + 6; o = u + 14; u = g + 8; g = a + 10; z = l + 3; n = b + 18; x = 4; l = n + 1; p = x + 16; j = x + 5; w = z + 18; b = p + 7; t = o + 18. If x = 4, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 3 to w, which gives w = l + 21.\n2. Substitute l = n + 1 to w, which gives w = n + 22.\n3. Substitute n = b + 18 to w, which gives w = b + 40.\n4. Substitute b = p + 7 to w, which gives w = p + 47.\n5. Substitute p = x + 16 to w, which gives w = x + 63.\n6. Substitute x = 4 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 3065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 6; o = u + 14; u = g + 8; g = a + 10; z = l + 3; n = b + 18; x = 4; l = n + 1; p = x + 16; j = x + 5; w = z + 18; b = p + 7; t = o + 18. If x = 4, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 12", "h": "n + 16", "m": "h + 14", "z": "m + 17", "s": "z + 6", "i": "s + 18", "c": "w + 4", "b": "c + 10", "v": "b + 6", "d": "v + 3", "x": "d + 5", "j": "x + 7", "w": 7}, "premises": {"w": 7}, "target": "i"}, "answer": {"steps": [["s", "z + 6", "z + 24"], ["z", "m + 17", "m + 41"], ["m", "h + 14", "h + 55"], ["h", "n + 16", "n + 71"], ["n", "w + 12", "w + 83"], ["w", 7, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"w": 7}, "is_reverse": true}}
| 3,066
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 17; i = s + 18; n = w + 12; w = 7; v = b + 6; c = w + 4; h = n + 16; j = x + 7; s = z + 6; d = v + 3; b = c + 10; x = d + 5; m = h + 14. If w = 7, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 6 to i, which gives i = z + 24.\n2. Substitute z = m + 17 to i, which gives i = m + 41.\n3. Substitute m = h + 14 to i, which gives i = h + 55.\n4. Substitute h = n + 16 to i, which gives i = n + 71.\n5. Substitute n = w + 12 to i, which gives i = w + 83.\n6. Substitute w = 7 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 3066,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 17; i = s + 18; n = w + 12; w = 7; v = b + 6; c = w + 4; h = n + 16; j = x + 7; s = z + 6; d = v + 3; b = c + 10; x = d + 5; m = h + 14. If w = 7, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 20", "c": "l + 10", "o": "c + 9", "t": "o + 7", "j": "t + 17", "g": "j + 10", "v": "m + 20", "w": "v + 11", "q": "w + 9", "x": "q + 8", "n": "x + 2", "u": "n + 14", "m": 19}, "premises": {"m": 19}, "target": "g"}, "answer": {"steps": [["j", "t + 17", "t + 27"], ["t", "o + 7", "o + 34"], ["o", "c + 9", "c + 43"], ["c", "l + 10", "l + 53"], ["l", "m + 20", "m + 73"], ["m", 19, "92"]], "target_var_name": "g", "target_value": 92, "value_dict": {"m": 19}, "is_reverse": true}}
| 3,067
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 17; n = x + 2; g = j + 10; q = w + 9; v = m + 20; t = o + 7; o = c + 9; u = n + 14; m = 19; w = v + 11; c = l + 10; l = m + 20; x = q + 8. If m = 19, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 17 to g, which gives g = t + 27.\n2. Substitute t = o + 7 to g, which gives g = o + 34.\n3. Substitute o = c + 9 to g, which gives g = c + 43.\n4. Substitute c = l + 10 to g, which gives g = l + 53.\n5. Substitute l = m + 20 to g, which gives g = m + 73.\n6. Substitute m = 19 to g, which gives g = 92.\n\nThus, the final answer is g = \\boxed{92}.",
"index": 3067,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 17; n = x + 2; g = j + 10; q = w + 9; v = m + 20; t = o + 7; o = c + 9; u = n + 14; m = 19; w = v + 11; c = l + 10; l = m + 20; x = q + 8. If m = 19, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 10", "b": "v + 12", "e": "b + 20", "a": "e + 20", "g": "a + 2", "u": "g + 3", "h": "j + 11", "k": "h + 17", "t": "k + 9", "z": "t + 4", "q": "z + 19", "f": "q + 2", "j": 11}, "premises": {"j": 11}, "target": "u"}, "answer": {"steps": [["g", "a + 2", "a + 5"], ["a", "e + 20", "e + 25"], ["e", "b + 20", "b + 45"], ["b", "v + 12", "v + 57"], ["v", "j + 10", "j + 67"], ["j", 11, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"j": 11}, "is_reverse": true}}
| 3,068
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 20; e = b + 20; f = q + 2; h = j + 11; u = g + 3; g = a + 2; q = z + 19; z = t + 4; v = j + 10; k = h + 17; j = 11; t = k + 9; b = v + 12. Given that j = 11, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 2 to u, which gives u = a + 5.\n2. Substitute a = e + 20 to u, which gives u = e + 25.\n3. Substitute e = b + 20 to u, which gives u = b + 45.\n4. Substitute b = v + 12 to u, which gives u = v + 57.\n5. Substitute v = j + 10 to u, which gives u = j + 67.\n6. Substitute j = 11 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 3068,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 20; e = b + 20; f = q + 2; h = j + 11; u = g + 3; g = a + 2; q = z + 19; z = t + 4; v = j + 10; k = h + 17; j = 11; t = k + 9; b = v + 12. Given that j = 11, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 11", "r": "g + 1", "a": "r + 4", "x": "a + 2", "l": "x + 1", "e": "l + 2", "j": "s + 11", "f": "j + 12", "c": "f + 10", "n": "c + 2", "k": "n + 18", "z": "k + 14", "s": 8}, "premises": {"s": 8}, "target": "e"}, "answer": {"steps": [["l", "x + 1", "x + 3"], ["x", "a + 2", "a + 5"], ["a", "r + 4", "r + 9"], ["r", "g + 1", "g + 10"], ["g", "s + 11", "s + 21"], ["s", 8, "29"]], "target_var_name": "e", "target_value": 29, "value_dict": {"s": 8}, "is_reverse": true}}
| 3,069
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 2; g = s + 11; x = a + 2; s = 8; j = s + 11; c = f + 10; l = x + 1; a = r + 4; k = n + 18; f = j + 12; n = c + 2; z = k + 14; r = g + 1. Given that s = 8, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 29,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 1 to e, which gives e = x + 3.\n2. Substitute x = a + 2 to e, which gives e = a + 5.\n3. Substitute a = r + 4 to e, which gives e = r + 9.\n4. Substitute r = g + 1 to e, which gives e = g + 10.\n5. Substitute g = s + 11 to e, which gives e = s + 21.\n6. Substitute s = 8 to e, which gives e = 29.\n\nThus, the final answer is e = \\boxed{29}.",
"index": 3069,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 2; g = s + 11; x = a + 2; s = 8; j = s + 11; c = f + 10; l = x + 1; a = r + 4; k = n + 18; f = j + 12; n = c + 2; z = k + 14; r = g + 1. Given that s = 8, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 3", "g": "y + 11", "t": "g + 13", "o": "t + 11", "c": "o + 5", "e": "c + 20", "q": "n + 3", "m": "q + 4", "l": "m + 1", "a": "l + 8", "f": "a + 8", "b": "f + 4", "n": 14}, "premises": {"n": 14}, "target": "e"}, "answer": {"steps": [["c", "o + 5", "o + 25"], ["o", "t + 11", "t + 36"], ["t", "g + 13", "g + 49"], ["g", "y + 11", "y + 60"], ["y", "n + 3", "n + 63"], ["n", 14, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"n": 14}, "is_reverse": true}}
| 3,070
| 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 = n + 3; c = o + 5; o = t + 11; m = q + 4; f = a + 8; y = n + 3; b = f + 4; a = l + 8; e = c + 20; g = y + 11; n = 14; l = m + 1; t = g + 13. If n = 14, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 5 to e, which gives e = o + 25.\n2. Substitute o = t + 11 to e, which gives e = t + 36.\n3. Substitute t = g + 13 to e, which gives e = g + 49.\n4. Substitute g = y + 11 to e, which gives e = y + 60.\n5. Substitute y = n + 3 to e, which gives e = n + 63.\n6. Substitute n = 14 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 3070,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 3; c = o + 5; o = t + 11; m = q + 4; f = a + 8; y = n + 3; b = f + 4; a = l + 8; e = c + 20; g = y + 11; n = 14; l = m + 1; t = g + 13. If n = 14, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 7", "j": "b + 2", "i": "j + 7", "t": "i + 18", "k": "t + 7", "g": "k + 19", "a": "e + 18", "l": "a + 18", "c": "l + 16", "f": "c + 1", "s": "f + 16", "o": "s + 20", "e": 8}, "premises": {"e": 8}, "target": "g"}, "answer": {"steps": [["k", "t + 7", "t + 26"], ["t", "i + 18", "i + 44"], ["i", "j + 7", "j + 51"], ["j", "b + 2", "b + 53"], ["b", "e + 7", "e + 60"], ["e", 8, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"e": 8}, "is_reverse": true}}
| 3,071
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 18; b = e + 7; l = a + 18; f = c + 1; g = k + 19; c = l + 16; j = b + 2; e = 8; k = t + 7; t = i + 18; o = s + 20; i = j + 7; s = f + 16. If e = 8, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 7 to g, which gives g = t + 26.\n2. Substitute t = i + 18 to g, which gives g = i + 44.\n3. Substitute i = j + 7 to g, which gives g = j + 51.\n4. Substitute j = b + 2 to g, which gives g = b + 53.\n5. Substitute b = e + 7 to g, which gives g = e + 60.\n6. Substitute e = 8 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 3071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 18; b = e + 7; l = a + 18; f = c + 1; g = k + 19; c = l + 16; j = b + 2; e = 8; k = t + 7; t = i + 18; o = s + 20; i = j + 7; s = f + 16. If e = 8, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 17", "l": "m + 11", "r": "l + 11", "k": "r + 6", "s": "k + 11", "a": "s + 19", "n": "i + 2", "t": "n + 8", "w": "t + 15", "d": "w + 6", "z": "d + 5", "b": "z + 6", "i": 16}, "premises": {"i": 16}, "target": "a"}, "answer": {"steps": [["s", "k + 11", "k + 30"], ["k", "r + 6", "r + 36"], ["r", "l + 11", "l + 47"], ["l", "m + 11", "m + 58"], ["m", "i + 17", "i + 75"], ["i", 16, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"i": 16}, "is_reverse": true}}
| 3,072
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 16; n = i + 2; l = m + 11; z = d + 5; m = i + 17; r = l + 11; k = r + 6; a = s + 19; d = w + 6; t = n + 8; s = k + 11; w = t + 15; b = z + 6. If i = 16, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 11 to a, which gives a = k + 30.\n2. Substitute k = r + 6 to a, which gives a = r + 36.\n3. Substitute r = l + 11 to a, which gives a = l + 47.\n4. Substitute l = m + 11 to a, which gives a = m + 58.\n5. Substitute m = i + 17 to a, which gives a = i + 75.\n6. Substitute i = 16 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 3072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 16; n = i + 2; l = m + 11; z = d + 5; m = i + 17; r = l + 11; k = r + 6; a = s + 19; d = w + 6; t = n + 8; s = k + 11; w = t + 15; b = z + 6. If i = 16, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 17", "p": "o + 13", "u": "p + 7", "q": "u + 20", "z": "q + 5", "m": "z + 18", "i": "x + 8", "l": "i + 2", "t": "l + 14", "s": "t + 4", "y": "s + 20", "b": "y + 5", "x": 20}, "premises": {"x": 20}, "target": "m"}, "answer": {"steps": [["z", "q + 5", "q + 23"], ["q", "u + 20", "u + 43"], ["u", "p + 7", "p + 50"], ["p", "o + 13", "o + 63"], ["o", "x + 17", "x + 80"], ["x", 20, "100"]], "target_var_name": "m", "target_value": 100, "value_dict": {"x": 20}, "is_reverse": true}}
| 3,073
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 8; b = y + 5; s = t + 4; z = q + 5; o = x + 17; y = s + 20; x = 20; l = i + 2; p = o + 13; t = l + 14; q = u + 20; u = p + 7; m = z + 18. If x = 20, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 5 to m, which gives m = q + 23.\n2. Substitute q = u + 20 to m, which gives m = u + 43.\n3. Substitute u = p + 7 to m, which gives m = p + 50.\n4. Substitute p = o + 13 to m, which gives m = o + 63.\n5. Substitute o = x + 17 to m, which gives m = x + 80.\n6. Substitute x = 20 to m, which gives m = 100.\n\nThus, the final answer is m = \\boxed{100}.",
"index": 3073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 8; b = y + 5; s = t + 4; z = q + 5; o = x + 17; y = s + 20; x = 20; l = i + 2; p = o + 13; t = l + 14; q = u + 20; u = p + 7; m = z + 18. If x = 20, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 18", "b": "q + 1", "u": "b + 8", "f": "u + 10", "k": "f + 5", "v": "k + 13", "r": "i + 2", "o": "r + 7", "p": "o + 5", "z": "p + 18", "t": "z + 20", "l": "t + 4", "i": 14}, "premises": {"i": 14}, "target": "v"}, "answer": {"steps": [["k", "f + 5", "f + 18"], ["f", "u + 10", "u + 28"], ["u", "b + 8", "b + 36"], ["b", "q + 1", "q + 37"], ["q", "i + 18", "i + 55"], ["i", 14, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"i": 14}, "is_reverse": true}}
| 3,074
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 18; r = i + 2; b = q + 1; u = b + 8; p = o + 5; v = k + 13; f = u + 10; k = f + 5; t = z + 20; l = t + 4; i = 14; o = r + 7; z = p + 18. Given that i = 14, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 5 to v, which gives v = f + 18.\n2. Substitute f = u + 10 to v, which gives v = u + 28.\n3. Substitute u = b + 8 to v, which gives v = b + 36.\n4. Substitute b = q + 1 to v, which gives v = q + 37.\n5. Substitute q = i + 18 to v, which gives v = i + 55.\n6. Substitute i = 14 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 3074,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 18; r = i + 2; b = q + 1; u = b + 8; p = o + 5; v = k + 13; f = u + 10; k = f + 5; t = z + 20; l = t + 4; i = 14; o = r + 7; z = p + 18. Given that i = 14, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 15", "o": "n + 13", "d": "o + 9", "g": "d + 1", "s": "g + 19", "u": "s + 10", "b": "i + 14", "p": "b + 11", "t": "p + 12", "z": "t + 3", "f": "z + 19", "c": "f + 9", "i": 10}, "premises": {"i": 10}, "target": "u"}, "answer": {"steps": [["s", "g + 19", "g + 29"], ["g", "d + 1", "d + 30"], ["d", "o + 9", "o + 39"], ["o", "n + 13", "n + 52"], ["n", "i + 15", "i + 67"], ["i", 10, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"i": 10}, "is_reverse": true}}
| 3,075
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 10; n = i + 15; f = z + 19; t = p + 12; g = d + 1; p = b + 11; d = o + 9; z = t + 3; b = i + 14; c = f + 9; o = n + 13; i = 10; s = g + 19. If i = 10, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 19 to u, which gives u = g + 29.\n2. Substitute g = d + 1 to u, which gives u = d + 30.\n3. Substitute d = o + 9 to u, which gives u = o + 39.\n4. Substitute o = n + 13 to u, which gives u = n + 52.\n5. Substitute n = i + 15 to u, which gives u = i + 67.\n6. Substitute i = 10 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 3075,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 10; n = i + 15; f = z + 19; t = p + 12; g = d + 1; p = b + 11; d = o + 9; z = t + 3; b = i + 14; c = f + 9; o = n + 13; i = 10; s = g + 19. If i = 10, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 16", "k": "m + 4", "e": "k + 7", "t": "e + 9", "q": "t + 18", "j": "q + 9", "y": "g + 13", "r": "y + 19", "b": "r + 11", "l": "b + 14", "i": "l + 5", "v": "i + 19", "g": 4}, "premises": {"g": 4}, "target": "j"}, "answer": {"steps": [["q", "t + 18", "t + 27"], ["t", "e + 9", "e + 36"], ["e", "k + 7", "k + 43"], ["k", "m + 4", "m + 47"], ["m", "g + 16", "g + 63"], ["g", 4, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"g": 4}, "is_reverse": true}}
| 3,076
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 11; e = k + 7; m = g + 16; r = y + 19; k = m + 4; y = g + 13; g = 4; i = l + 5; l = b + 14; t = e + 9; q = t + 18; v = i + 19; j = q + 9. Given that g = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 18 to j, which gives j = t + 27.\n2. Substitute t = e + 9 to j, which gives j = e + 36.\n3. Substitute e = k + 7 to j, which gives j = k + 43.\n4. Substitute k = m + 4 to j, which gives j = m + 47.\n5. Substitute m = g + 16 to j, which gives j = g + 63.\n6. Substitute g = 4 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 3076,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 11; e = k + 7; m = g + 16; r = y + 19; k = m + 4; y = g + 13; g = 4; i = l + 5; l = b + 14; t = e + 9; q = t + 18; v = i + 19; j = q + 9. Given that g = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 4", "y": "m + 9", "q": "y + 15", "c": "q + 10", "n": "c + 7", "f": "n + 8", "l": "r + 9", "v": "l + 19", "p": "v + 1", "o": "p + 11", "z": "o + 20", "s": "z + 6", "r": 13}, "premises": {"r": 13}, "target": "f"}, "answer": {"steps": [["n", "c + 7", "c + 15"], ["c", "q + 10", "q + 25"], ["q", "y + 15", "y + 40"], ["y", "m + 9", "m + 49"], ["m", "r + 4", "r + 53"], ["r", 13, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"r": 13}, "is_reverse": true}}
| 3,077
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 4; l = r + 9; s = z + 6; c = q + 10; z = o + 20; n = c + 7; r = 13; v = l + 19; y = m + 9; q = y + 15; p = v + 1; f = n + 8; o = p + 11. If r = 13, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 7 to f, which gives f = c + 15.\n2. Substitute c = q + 10 to f, which gives f = q + 25.\n3. Substitute q = y + 15 to f, which gives f = y + 40.\n4. Substitute y = m + 9 to f, which gives f = m + 49.\n5. Substitute m = r + 4 to f, which gives f = r + 53.\n6. Substitute r = 13 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 3077,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 4; l = r + 9; s = z + 6; c = q + 10; z = o + 20; n = c + 7; r = 13; v = l + 19; y = m + 9; q = y + 15; p = v + 1; f = n + 8; o = p + 11. If r = 13, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 8", "w": "z + 13", "i": "w + 5", "e": "i + 16", "t": "e + 11", "o": "t + 8", "u": "m + 18", "g": "u + 14", "p": "g + 6", "k": "p + 10", "b": "k + 17", "j": "b + 9", "m": 20}, "premises": {"m": 20}, "target": "o"}, "answer": {"steps": [["t", "e + 11", "e + 19"], ["e", "i + 16", "i + 35"], ["i", "w + 5", "w + 40"], ["w", "z + 13", "z + 53"], ["z", "m + 8", "m + 61"], ["m", 20, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"m": 20}, "is_reverse": true}}
| 3,078
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 17; u = m + 18; j = b + 9; o = t + 8; w = z + 13; e = i + 16; g = u + 14; i = w + 5; m = 20; t = e + 11; p = g + 6; z = m + 8; k = p + 10. Given that m = 20, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 11 to o, which gives o = e + 19.\n2. Substitute e = i + 16 to o, which gives o = i + 35.\n3. Substitute i = w + 5 to o, which gives o = w + 40.\n4. Substitute w = z + 13 to o, which gives o = z + 53.\n5. Substitute z = m + 8 to o, which gives o = m + 61.\n6. Substitute m = 20 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 3078,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 17; u = m + 18; j = b + 9; o = t + 8; w = z + 13; e = i + 16; g = u + 14; i = w + 5; m = 20; t = e + 11; p = g + 6; z = m + 8; k = p + 10. Given that m = 20, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 16", "k": "w + 15", "i": "k + 1", "x": "i + 3", "q": "x + 9", "r": "q + 7", "a": "t + 20", "z": "a + 4", "f": "z + 17", "h": "f + 1", "e": "h + 7", "p": "e + 8", "t": 15}, "premises": {"t": 15}, "target": "r"}, "answer": {"steps": [["q", "x + 9", "x + 16"], ["x", "i + 3", "i + 19"], ["i", "k + 1", "k + 20"], ["k", "w + 15", "w + 35"], ["w", "t + 16", "t + 51"], ["t", 15, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"t": 15}, "is_reverse": true}}
| 3,079
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 16; z = a + 4; k = w + 15; p = e + 8; a = t + 20; h = f + 1; q = x + 9; x = i + 3; r = q + 7; t = 15; e = h + 7; i = k + 1; f = z + 17. If t = 15, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 9 to r, which gives r = x + 16.\n2. Substitute x = i + 3 to r, which gives r = i + 19.\n3. Substitute i = k + 1 to r, which gives r = k + 20.\n4. Substitute k = w + 15 to r, which gives r = w + 35.\n5. Substitute w = t + 16 to r, which gives r = t + 51.\n6. Substitute t = 15 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 3079,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 16; z = a + 4; k = w + 15; p = e + 8; a = t + 20; h = f + 1; q = x + 9; x = i + 3; r = q + 7; t = 15; e = h + 7; i = k + 1; f = z + 17. If t = 15, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 13", "q": "y + 8", "i": "q + 1", "e": "i + 11", "l": "e + 12", "v": "l + 9", "s": "x + 4", "a": "s + 5", "h": "a + 15", "p": "h + 1", "g": "p + 14", "d": "g + 6", "x": 18}, "premises": {"x": 18}, "target": "v"}, "answer": {"steps": [["l", "e + 12", "e + 21"], ["e", "i + 11", "i + 32"], ["i", "q + 1", "q + 33"], ["q", "y + 8", "y + 41"], ["y", "x + 13", "x + 54"], ["x", 18, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"x": 18}, "is_reverse": true}}
| 3,080
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 12; p = h + 1; e = i + 11; d = g + 6; s = x + 4; x = 18; q = y + 8; g = p + 14; a = s + 5; v = l + 9; h = a + 15; i = q + 1; y = x + 13. Given that x = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 12 to v, which gives v = e + 21.\n2. Substitute e = i + 11 to v, which gives v = i + 32.\n3. Substitute i = q + 1 to v, which gives v = q + 33.\n4. Substitute q = y + 8 to v, which gives v = y + 41.\n5. Substitute y = x + 13 to v, which gives v = x + 54.\n6. Substitute x = 18 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 3080,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 12; p = h + 1; e = i + 11; d = g + 6; s = x + 4; x = 18; q = y + 8; g = p + 14; a = s + 5; v = l + 9; h = a + 15; i = q + 1; y = x + 13. Given that x = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 11", "h": "s + 18", "z": "h + 12", "v": "z + 14", "m": "v + 9", "c": "m + 15", "t": "e + 17", "k": "t + 15", "b": "k + 20", "p": "b + 6", "r": "p + 18", "f": "r + 9", "e": 8}, "premises": {"e": 8}, "target": "c"}, "answer": {"steps": [["m", "v + 9", "v + 24"], ["v", "z + 14", "z + 38"], ["z", "h + 12", "h + 50"], ["h", "s + 18", "s + 68"], ["s", "e + 11", "e + 79"], ["e", 8, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"e": 8}, "is_reverse": true}}
| 3,081
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 15; m = v + 9; s = e + 11; f = r + 9; p = b + 6; t = e + 17; z = h + 12; v = z + 14; h = s + 18; e = 8; r = p + 18; b = k + 20; k = t + 15. If e = 8, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 9 to c, which gives c = v + 24.\n2. Substitute v = z + 14 to c, which gives c = z + 38.\n3. Substitute z = h + 12 to c, which gives c = h + 50.\n4. Substitute h = s + 18 to c, which gives c = s + 68.\n5. Substitute s = e + 11 to c, which gives c = e + 79.\n6. Substitute e = 8 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 3081,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 15; m = v + 9; s = e + 11; f = r + 9; p = b + 6; t = e + 17; z = h + 12; v = z + 14; h = s + 18; e = 8; r = p + 18; b = k + 20; k = t + 15. If e = 8, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 19", "r": "v + 5", "l": "r + 7", "y": "l + 5", "e": "y + 5", "o": "e + 19", "n": "m + 2", "q": "n + 13", "d": "q + 9", "t": "d + 2", "x": "t + 4", "a": "x + 7", "m": 8}, "premises": {"m": 8}, "target": "o"}, "answer": {"steps": [["e", "y + 5", "y + 24"], ["y", "l + 5", "l + 29"], ["l", "r + 7", "r + 36"], ["r", "v + 5", "v + 41"], ["v", "m + 19", "m + 60"], ["m", 8, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"m": 8}, "is_reverse": true}}
| 3,082
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 2; v = m + 19; d = q + 9; e = y + 5; q = n + 13; o = e + 19; n = m + 2; m = 8; y = l + 5; l = r + 7; r = v + 5; x = t + 4; a = x + 7. If m = 8, what is the resulting 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 e = y + 5 to o, which gives o = y + 24.\n2. Substitute y = l + 5 to o, which gives o = l + 29.\n3. Substitute l = r + 7 to o, which gives o = r + 36.\n4. Substitute r = v + 5 to o, which gives o = v + 41.\n5. Substitute v = m + 19 to o, which gives o = m + 60.\n6. Substitute m = 8 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 3082,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 2; v = m + 19; d = q + 9; e = y + 5; q = n + 13; o = e + 19; n = m + 2; m = 8; y = l + 5; l = r + 7; r = v + 5; x = t + 4; a = x + 7. If m = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 2", "x": "t + 10", "p": "x + 11", "u": "p + 9", "b": "u + 5", "j": "b + 6", "n": "w + 19", "s": "n + 19", "d": "s + 1", "z": "d + 16", "g": "z + 17", "i": "g + 7", "w": 4}, "premises": {"w": 4}, "target": "j"}, "answer": {"steps": [["b", "u + 5", "u + 11"], ["u", "p + 9", "p + 20"], ["p", "x + 11", "x + 31"], ["x", "t + 10", "t + 41"], ["t", "w + 2", "w + 43"], ["w", 4, "47"]], "target_var_name": "j", "target_value": 47, "value_dict": {"w": 4}, "is_reverse": true}}
| 3,083
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 4; d = s + 1; n = w + 19; x = t + 10; i = g + 7; j = b + 6; b = u + 5; u = p + 9; s = n + 19; p = x + 11; t = w + 2; g = z + 17; z = d + 16. Given that w = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 5 to j, which gives j = u + 11.\n2. Substitute u = p + 9 to j, which gives j = p + 20.\n3. Substitute p = x + 11 to j, which gives j = x + 31.\n4. Substitute x = t + 10 to j, which gives j = t + 41.\n5. Substitute t = w + 2 to j, which gives j = w + 43.\n6. Substitute w = 4 to j, which gives j = 47.\n\nThus, the final answer is j = \\boxed{47}.",
"index": 3083,
"question": "Suppose a collection of variables is related by the following definitions: w = 4; d = s + 1; n = w + 19; x = t + 10; i = g + 7; j = b + 6; b = u + 5; u = p + 9; s = n + 19; p = x + 11; t = w + 2; g = z + 17; z = d + 16. Given that w = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 1", "q": "x + 19", "d": "q + 17", "m": "d + 1", "z": "m + 7", "n": "z + 20", "i": "t + 3", "w": "i + 19", "y": "w + 20", "h": "y + 19", "r": "h + 1", "l": "r + 16", "t": 15}, "premises": {"t": 15}, "target": "n"}, "answer": {"steps": [["z", "m + 7", "m + 27"], ["m", "d + 1", "d + 28"], ["d", "q + 17", "q + 45"], ["q", "x + 19", "x + 64"], ["x", "t + 1", "t + 65"], ["t", 15, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"t": 15}, "is_reverse": true}}
| 3,084
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 1; d = q + 17; l = r + 16; r = h + 1; t = 15; q = x + 19; m = d + 1; y = w + 20; i = t + 3; n = z + 20; w = i + 19; z = m + 7; h = y + 19. If t = 15, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 7 to n, which gives n = m + 27.\n2. Substitute m = d + 1 to n, which gives n = d + 28.\n3. Substitute d = q + 17 to n, which gives n = q + 45.\n4. Substitute q = x + 19 to n, which gives n = x + 64.\n5. Substitute x = t + 1 to n, which gives n = t + 65.\n6. Substitute t = 15 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 3084,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 1; d = q + 17; l = r + 16; r = h + 1; t = 15; q = x + 19; m = d + 1; y = w + 20; i = t + 3; n = z + 20; w = i + 19; z = m + 7; h = y + 19. If t = 15, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 10", "t": "z + 15", "w": "t + 9", "b": "w + 20", "x": "b + 18", "m": "x + 15", "l": "v + 6", "o": "l + 6", "u": "o + 4", "e": "u + 15", "r": "e + 14", "d": "r + 15", "v": 7}, "premises": {"v": 7}, "target": "m"}, "answer": {"steps": [["x", "b + 18", "b + 33"], ["b", "w + 20", "w + 53"], ["w", "t + 9", "t + 62"], ["t", "z + 15", "z + 77"], ["z", "v + 10", "v + 87"], ["v", 7, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"v": 7}, "is_reverse": true}}
| 3,085
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = v + 10; m = x + 15; x = b + 18; b = w + 20; l = v + 6; r = e + 14; o = l + 6; e = u + 15; t = z + 15; w = t + 9; u = o + 4; d = r + 15; v = 7. If v = 7, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 18 to m, which gives m = b + 33.\n2. Substitute b = w + 20 to m, which gives m = w + 53.\n3. Substitute w = t + 9 to m, which gives m = t + 62.\n4. Substitute t = z + 15 to m, which gives m = z + 77.\n5. Substitute z = v + 10 to m, which gives m = v + 87.\n6. Substitute v = 7 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 3085,
"question": "Consider a system of variables where each variable is defined as follows: z = v + 10; m = x + 15; x = b + 18; b = w + 20; l = v + 6; r = e + 14; o = l + 6; e = u + 15; t = z + 15; w = t + 9; u = o + 4; d = r + 15; v = 7. If v = 7, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 13", "i": "v + 8", "t": "i + 12", "d": "t + 4", "a": "d + 11", "j": "a + 18", "g": "y + 8", "s": "g + 17", "k": "s + 7", "o": "k + 5", "u": "o + 16", "w": "u + 16", "y": 18}, "premises": {"y": 18}, "target": "j"}, "answer": {"steps": [["a", "d + 11", "d + 29"], ["d", "t + 4", "t + 33"], ["t", "i + 12", "i + 45"], ["i", "v + 8", "v + 53"], ["v", "y + 13", "y + 66"], ["y", 18, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"y": 18}, "is_reverse": true}}
| 3,086
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 18; g = y + 8; w = u + 16; a = d + 11; i = v + 8; u = o + 16; o = k + 5; j = a + 18; d = t + 4; v = y + 13; k = s + 7; s = g + 17; t = i + 12. If y = 18, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 11 to j, which gives j = d + 29.\n2. Substitute d = t + 4 to j, which gives j = t + 33.\n3. Substitute t = i + 12 to j, which gives j = i + 45.\n4. Substitute i = v + 8 to j, which gives j = v + 53.\n5. Substitute v = y + 13 to j, which gives j = y + 66.\n6. Substitute y = 18 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 3086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 18; g = y + 8; w = u + 16; a = d + 11; i = v + 8; u = o + 16; o = k + 5; j = a + 18; d = t + 4; v = y + 13; k = s + 7; s = g + 17; t = i + 12. If y = 18, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 7", "d": "t + 9", "p": "d + 2", "l": "p + 5", "r": "l + 4", "s": "r + 4", "g": "h + 9", "y": "g + 6", "j": "y + 19", "x": "j + 14", "v": "x + 8", "i": "v + 9", "h": 19}, "premises": {"h": 19}, "target": "s"}, "answer": {"steps": [["r", "l + 4", "l + 8"], ["l", "p + 5", "p + 13"], ["p", "d + 2", "d + 15"], ["d", "t + 9", "t + 24"], ["t", "h + 7", "h + 31"], ["h", 19, "50"]], "target_var_name": "s", "target_value": 50, "value_dict": {"h": 19}, "is_reverse": true}}
| 3,087
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 4; t = h + 7; h = 19; x = j + 14; y = g + 6; v = x + 8; d = t + 9; r = l + 4; l = p + 5; g = h + 9; j = y + 19; i = v + 9; p = d + 2. Given that h = 19, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 4 to s, which gives s = l + 8.\n2. Substitute l = p + 5 to s, which gives s = p + 13.\n3. Substitute p = d + 2 to s, which gives s = d + 15.\n4. Substitute d = t + 9 to s, which gives s = t + 24.\n5. Substitute t = h + 7 to s, which gives s = h + 31.\n6. Substitute h = 19 to s, which gives s = 50.\n\nThus, the final answer is s = \\boxed{50}.",
"index": 3087,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 4; t = h + 7; h = 19; x = j + 14; y = g + 6; v = x + 8; d = t + 9; r = l + 4; l = p + 5; g = h + 9; j = y + 19; i = v + 9; p = d + 2. Given that h = 19, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 6", "x": "z + 9", "r": "x + 6", "b": "r + 9", "a": "b + 10", "t": "a + 1", "d": "c + 7", "p": "d + 13", "g": "p + 18", "f": "g + 5", "n": "f + 11", "s": "n + 7", "c": 15}, "premises": {"c": 15}, "target": "t"}, "answer": {"steps": [["a", "b + 10", "b + 11"], ["b", "r + 9", "r + 20"], ["r", "x + 6", "x + 26"], ["x", "z + 9", "z + 35"], ["z", "c + 6", "c + 41"], ["c", 15, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"c": 15}, "is_reverse": true}}
| 3,088
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = a + 1; s = n + 7; c = 15; f = g + 5; n = f + 11; x = z + 9; b = r + 9; g = p + 18; a = b + 10; d = c + 7; r = x + 6; p = d + 13; z = c + 6. Given that c = 15, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 10 to t, which gives t = b + 11.\n2. Substitute b = r + 9 to t, which gives t = r + 20.\n3. Substitute r = x + 6 to t, which gives t = x + 26.\n4. Substitute x = z + 9 to t, which gives t = z + 35.\n5. Substitute z = c + 6 to t, which gives t = c + 41.\n6. Substitute c = 15 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 3088,
"question": "Suppose a collection of variables is related by the following definitions: t = a + 1; s = n + 7; c = 15; f = g + 5; n = f + 11; x = z + 9; b = r + 9; g = p + 18; a = b + 10; d = c + 7; r = x + 6; p = d + 13; z = c + 6. Given that c = 15, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 13", "r": "o + 20", "u": "r + 12", "z": "u + 16", "j": "z + 17", "d": "j + 4", "f": "e + 9", "t": "f + 18", "v": "t + 11", "x": "v + 9", "s": "x + 10", "h": "s + 19", "e": 20}, "premises": {"e": 20}, "target": "d"}, "answer": {"steps": [["j", "z + 17", "z + 21"], ["z", "u + 16", "u + 37"], ["u", "r + 12", "r + 49"], ["r", "o + 20", "o + 69"], ["o", "e + 13", "e + 82"], ["e", 20, "102"]], "target_var_name": "d", "target_value": 102, "value_dict": {"e": 20}, "is_reverse": true}}
| 3,089
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 4; s = x + 10; j = z + 17; r = o + 20; x = v + 9; v = t + 11; t = f + 18; f = e + 9; h = s + 19; z = u + 16; o = e + 13; e = 20; u = r + 12. Given that e = 20, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 17 to d, which gives d = z + 21.\n2. Substitute z = u + 16 to d, which gives d = u + 37.\n3. Substitute u = r + 12 to d, which gives d = r + 49.\n4. Substitute r = o + 20 to d, which gives d = o + 69.\n5. Substitute o = e + 13 to d, which gives d = e + 82.\n6. Substitute e = 20 to d, which gives d = 102.\n\nThus, the final answer is d = \\boxed{102}.",
"index": 3089,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 4; s = x + 10; j = z + 17; r = o + 20; x = v + 9; v = t + 11; t = f + 18; f = e + 9; h = s + 19; z = u + 16; o = e + 13; e = 20; u = r + 12. Given that e = 20, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 15", "d": "q + 9", "u": "d + 8", "c": "u + 3", "r": "c + 8", "o": "r + 1", "i": "f + 13", "p": "i + 18", "m": "p + 9", "b": "m + 9", "a": "b + 7", "x": "a + 4", "f": 9}, "premises": {"f": 9}, "target": "o"}, "answer": {"steps": [["r", "c + 8", "c + 9"], ["c", "u + 3", "u + 12"], ["u", "d + 8", "d + 20"], ["d", "q + 9", "q + 29"], ["q", "f + 15", "f + 44"], ["f", 9, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"f": 9}, "is_reverse": true}}
| 3,090
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 9; x = a + 4; p = i + 18; i = f + 13; u = d + 8; f = 9; m = p + 9; c = u + 3; r = c + 8; b = m + 9; q = f + 15; a = b + 7; o = r + 1. If f = 9, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 8 to o, which gives o = c + 9.\n2. Substitute c = u + 3 to o, which gives o = u + 12.\n3. Substitute u = d + 8 to o, which gives o = d + 20.\n4. Substitute d = q + 9 to o, which gives o = q + 29.\n5. Substitute q = f + 15 to o, which gives o = f + 44.\n6. Substitute f = 9 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 3090,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 9; x = a + 4; p = i + 18; i = f + 13; u = d + 8; f = 9; m = p + 9; c = u + 3; r = c + 8; b = m + 9; q = f + 15; a = b + 7; o = r + 1. If f = 9, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "u + 6", "c": "p + 15", "r": "c + 10", "n": "r + 17", "w": "n + 1", "j": "w + 5", "y": "u + 12", "q": "y + 8", "z": "q + 4", "k": "z + 13", "t": "k + 14", "b": "t + 9", "u": 11}, "premises": {"u": 11}, "target": "j"}, "answer": {"steps": [["w", "n + 1", "n + 6"], ["n", "r + 17", "r + 23"], ["r", "c + 10", "c + 33"], ["c", "p + 15", "p + 48"], ["p", "u + 6", "u + 54"], ["u", 11, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"u": 11}, "is_reverse": true}}
| 3,091
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = p + 15; b = t + 9; n = r + 17; p = u + 6; k = z + 13; w = n + 1; r = c + 10; u = 11; y = u + 12; t = k + 14; j = w + 5; z = q + 4; q = y + 8. Given that u = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 1 to j, which gives j = n + 6.\n2. Substitute n = r + 17 to j, which gives j = r + 23.\n3. Substitute r = c + 10 to j, which gives j = c + 33.\n4. Substitute c = p + 15 to j, which gives j = p + 48.\n5. Substitute p = u + 6 to j, which gives j = u + 54.\n6. Substitute u = 11 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 3091,
"question": "Suppose a collection of variables is related by the following definitions: c = p + 15; b = t + 9; n = r + 17; p = u + 6; k = z + 13; w = n + 1; r = c + 10; u = 11; y = u + 12; t = k + 14; j = w + 5; z = q + 4; q = y + 8. Given that u = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 10", "v": "b + 3", "u": "v + 7", "k": "u + 8", "t": "k + 7", "p": "t + 1", "g": "l + 15", "r": "g + 4", "a": "r + 6", "z": "a + 10", "m": "z + 9", "s": "m + 10", "l": 8}, "premises": {"l": 8}, "target": "p"}, "answer": {"steps": [["t", "k + 7", "k + 8"], ["k", "u + 8", "u + 16"], ["u", "v + 7", "v + 23"], ["v", "b + 3", "b + 26"], ["b", "l + 10", "l + 36"], ["l", 8, "44"]], "target_var_name": "p", "target_value": 44, "value_dict": {"l": 8}, "is_reverse": true}}
| 3,092
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = k + 7; s = m + 10; p = t + 1; b = l + 10; r = g + 4; u = v + 7; l = 8; k = u + 8; z = a + 10; a = r + 6; m = z + 9; v = b + 3; g = l + 15. If l = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 7 to p, which gives p = k + 8.\n2. Substitute k = u + 8 to p, which gives p = u + 16.\n3. Substitute u = v + 7 to p, which gives p = v + 23.\n4. Substitute v = b + 3 to p, which gives p = b + 26.\n5. Substitute b = l + 10 to p, which gives p = l + 36.\n6. Substitute l = 8 to p, which gives p = 44.\n\nThus, the final answer is p = \\boxed{44}.",
"index": 3092,
"question": "Consider a system of variables where each variable is defined as follows: t = k + 7; s = m + 10; p = t + 1; b = l + 10; r = g + 4; u = v + 7; l = 8; k = u + 8; z = a + 10; a = r + 6; m = z + 9; v = b + 3; g = l + 15. If l = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 4", "o": "y + 3", "n": "o + 1", "x": "n + 12", "q": "x + 1", "i": "q + 17", "c": "w + 5", "s": "c + 5", "d": "s + 5", "f": "d + 17", "u": "f + 11", "l": "u + 5", "w": 8}, "premises": {"w": 8}, "target": "i"}, "answer": {"steps": [["q", "x + 1", "x + 18"], ["x", "n + 12", "n + 30"], ["n", "o + 1", "o + 31"], ["o", "y + 3", "y + 34"], ["y", "w + 4", "w + 38"], ["w", 8, "46"]], "target_var_name": "i", "target_value": 46, "value_dict": {"w": 8}, "is_reverse": true}}
| 3,093
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 1; u = f + 11; i = q + 17; x = n + 12; c = w + 5; w = 8; l = u + 5; y = w + 4; f = d + 17; s = c + 5; d = s + 5; o = y + 3; q = x + 1. If w = 8, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 1 to i, which gives i = x + 18.\n2. Substitute x = n + 12 to i, which gives i = n + 30.\n3. Substitute n = o + 1 to i, which gives i = o + 31.\n4. Substitute o = y + 3 to i, which gives i = y + 34.\n5. Substitute y = w + 4 to i, which gives i = w + 38.\n6. Substitute w = 8 to i, which gives i = 46.\n\nThus, the final answer is i = \\boxed{46}.",
"index": 3093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 1; u = f + 11; i = q + 17; x = n + 12; c = w + 5; w = 8; l = u + 5; y = w + 4; f = d + 17; s = c + 5; d = s + 5; o = y + 3; q = x + 1. If w = 8, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 17", "q": "d + 17", "e": "q + 15", "v": "e + 4", "k": "v + 14", "y": "k + 4", "h": "t + 10", "b": "h + 20", "p": "b + 13", "f": "p + 19", "n": "f + 14", "x": "n + 14", "t": 4}, "premises": {"t": 4}, "target": "y"}, "answer": {"steps": [["k", "v + 14", "v + 18"], ["v", "e + 4", "e + 22"], ["e", "q + 15", "q + 37"], ["q", "d + 17", "d + 54"], ["d", "t + 17", "t + 71"], ["t", 4, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"t": 4}, "is_reverse": true}}
| 3,094
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = 4; k = v + 14; d = t + 17; x = n + 14; p = b + 13; b = h + 20; f = p + 19; h = t + 10; q = d + 17; y = k + 4; n = f + 14; e = q + 15; v = e + 4. Given that t = 4, find the 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 k = v + 14 to y, which gives y = v + 18.\n2. Substitute v = e + 4 to y, which gives y = e + 22.\n3. Substitute e = q + 15 to y, which gives y = q + 37.\n4. Substitute q = d + 17 to y, which gives y = d + 54.\n5. Substitute d = t + 17 to y, which gives y = t + 71.\n6. Substitute t = 4 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 3094,
"question": "Suppose a collection of variables is related by the following definitions: t = 4; k = v + 14; d = t + 17; x = n + 14; p = b + 13; b = h + 20; f = p + 19; h = t + 10; q = d + 17; y = k + 4; n = f + 14; e = q + 15; v = e + 4. Given that t = 4, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 8", "h": "g + 10", "q": "h + 6", "m": "q + 3", "d": "m + 14", "b": "d + 2", "i": "j + 2", "x": "i + 9", "u": "x + 16", "z": "u + 20", "y": "z + 4", "k": "y + 1", "j": 3}, "premises": {"j": 3}, "target": "b"}, "answer": {"steps": [["d", "m + 14", "m + 16"], ["m", "q + 3", "q + 19"], ["q", "h + 6", "h + 25"], ["h", "g + 10", "g + 35"], ["g", "j + 8", "j + 43"], ["j", 3, "46"]], "target_var_name": "b", "target_value": 46, "value_dict": {"j": 3}, "is_reverse": true}}
| 3,095
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 9; k = y + 1; q = h + 6; u = x + 16; g = j + 8; d = m + 14; y = z + 4; j = 3; i = j + 2; m = q + 3; b = d + 2; z = u + 20; h = g + 10. If j = 3, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 14 to b, which gives b = m + 16.\n2. Substitute m = q + 3 to b, which gives b = q + 19.\n3. Substitute q = h + 6 to b, which gives b = h + 25.\n4. Substitute h = g + 10 to b, which gives b = g + 35.\n5. Substitute g = j + 8 to b, which gives b = j + 43.\n6. Substitute j = 3 to b, which gives b = 46.\n\nThus, the final answer is b = \\boxed{46}.",
"index": 3095,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 9; k = y + 1; q = h + 6; u = x + 16; g = j + 8; d = m + 14; y = z + 4; j = 3; i = j + 2; m = q + 3; b = d + 2; z = u + 20; h = g + 10. If j = 3, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 4", "i": "g + 13", "z": "i + 13", "s": "z + 20", "o": "s + 14", "x": "o + 14", "b": "k + 17", "a": "b + 18", "d": "a + 6", "u": "d + 20", "t": "u + 8", "w": "t + 2", "k": 3}, "premises": {"k": 3}, "target": "x"}, "answer": {"steps": [["o", "s + 14", "s + 28"], ["s", "z + 20", "z + 48"], ["z", "i + 13", "i + 61"], ["i", "g + 13", "g + 74"], ["g", "k + 4", "k + 78"], ["k", 3, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"k": 3}, "is_reverse": true}}
| 3,096
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 8; g = k + 4; u = d + 20; x = o + 14; d = a + 6; i = g + 13; o = s + 14; z = i + 13; k = 3; a = b + 18; s = z + 20; w = t + 2; b = k + 17. If k = 3, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 14 to x, which gives x = s + 28.\n2. Substitute s = z + 20 to x, which gives x = z + 48.\n3. Substitute z = i + 13 to x, which gives x = i + 61.\n4. Substitute i = g + 13 to x, which gives x = g + 74.\n5. Substitute g = k + 4 to x, which gives x = k + 78.\n6. Substitute k = 3 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 3096,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 8; g = k + 4; u = d + 20; x = o + 14; d = a + 6; i = g + 13; o = s + 14; z = i + 13; k = 3; a = b + 18; s = z + 20; w = t + 2; b = k + 17. If k = 3, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"f": "p + 14", "u": "f + 20", "l": "u + 6", "g": "l + 12", "i": "g + 13", "e": "i + 13", "r": "p + 10", "z": "r + 6", "y": "z + 11", "v": "y + 2", "k": "v + 3", "d": "k + 2", "p": 16}, "premises": {"p": 16}, "target": "e"}, "answer": {"steps": [["i", "g + 13", "g + 26"], ["g", "l + 12", "l + 38"], ["l", "u + 6", "u + 44"], ["u", "f + 20", "f + 64"], ["f", "p + 14", "p + 78"], ["p", 16, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"p": 16}, "is_reverse": true}}
| 3,097
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = v + 3; e = i + 13; l = u + 6; g = l + 12; y = z + 11; i = g + 13; v = y + 2; z = r + 6; d = k + 2; u = f + 20; f = p + 14; p = 16; r = p + 10. Given that p = 16, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 13 to e, which gives e = g + 26.\n2. Substitute g = l + 12 to e, which gives e = l + 38.\n3. Substitute l = u + 6 to e, which gives e = u + 44.\n4. Substitute u = f + 20 to e, which gives e = f + 64.\n5. Substitute f = p + 14 to e, which gives e = p + 78.\n6. Substitute p = 16 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 3097,
"question": "Suppose a collection of variables is related by the following definitions: k = v + 3; e = i + 13; l = u + 6; g = l + 12; y = z + 11; i = g + 13; v = y + 2; z = r + 6; d = k + 2; u = f + 20; f = p + 14; p = 16; r = p + 10. Given that p = 16, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 3", "q": "m + 8", "a": "q + 12", "n": "a + 7", "c": "n + 8", "x": "c + 10", "t": "w + 8", "h": "t + 16", "u": "h + 1", "y": "u + 9", "i": "y + 18", "v": "i + 2", "w": 7}, "premises": {"w": 7}, "target": "x"}, "answer": {"steps": [["c", "n + 8", "n + 18"], ["n", "a + 7", "a + 25"], ["a", "q + 12", "q + 37"], ["q", "m + 8", "m + 45"], ["m", "w + 3", "w + 48"], ["w", 7, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"w": 7}, "is_reverse": true}}
| 3,098
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 8; y = u + 9; h = t + 16; t = w + 8; i = y + 18; x = c + 10; n = a + 7; w = 7; m = w + 3; a = q + 12; c = n + 8; u = h + 1; v = i + 2. Given that w = 7, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 8 to x, which gives x = n + 18.\n2. Substitute n = a + 7 to x, which gives x = a + 25.\n3. Substitute a = q + 12 to x, which gives x = q + 37.\n4. Substitute q = m + 8 to x, which gives x = m + 45.\n5. Substitute m = w + 3 to x, which gives x = w + 48.\n6. Substitute w = 7 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 3098,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 8; y = u + 9; h = t + 16; t = w + 8; i = y + 18; x = c + 10; n = a + 7; w = 7; m = w + 3; a = q + 12; c = n + 8; u = h + 1; v = i + 2. Given that w = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 1", "d": "u + 6", "h": "d + 20", "w": "h + 16", "y": "w + 6", "n": "y + 6", "m": "g + 10", "c": "m + 2", "j": "c + 3", "a": "j + 4", "l": "a + 19", "r": "l + 8", "g": 3}, "premises": {"g": 3}, "target": "n"}, "answer": {"steps": [["y", "w + 6", "w + 12"], ["w", "h + 16", "h + 28"], ["h", "d + 20", "d + 48"], ["d", "u + 6", "u + 54"], ["u", "g + 1", "g + 55"], ["g", 3, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"g": 3}, "is_reverse": true}}
| 3,099
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 16; u = g + 1; n = y + 6; c = m + 2; y = w + 6; a = j + 4; d = u + 6; r = l + 8; j = c + 3; h = d + 20; l = a + 19; m = g + 10; g = 3. Given that g = 3, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 6 to n, which gives n = w + 12.\n2. Substitute w = h + 16 to n, which gives n = h + 28.\n3. Substitute h = d + 20 to n, which gives n = d + 48.\n4. Substitute d = u + 6 to n, which gives n = u + 54.\n5. Substitute u = g + 1 to n, which gives n = g + 55.\n6. Substitute g = 3 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 3099,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 16; u = g + 1; n = y + 6; c = m + 2; y = w + 6; a = j + 4; d = u + 6; r = l + 8; j = c + 3; h = d + 20; l = a + 19; m = g + 10; g = 3. Given that g = 3, find the value of n.",
"split": "train"
}
|
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