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25.6k
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int64 0
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stringclasses 1
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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": {"i": "p + 19", "n": "i + 6", "d": "n + 1", "z": "d + 3", "a": "z + 12", "f": "a + 2", "w": "p + 6", "l": "w + 1", "r": "l + 18", "j": "r + 9", "u": "j + 19", "e": "u + 3", "p": 19}, "premises": {"p": 19}, "target": "f"}, "answer": {"steps": [["a", "z + 12", "z + 14"], ["z", "d + 3", "d + 17"], ["d", "n + 1", "n + 18"], ["n", "i + 6", "i + 24"], ["i", "p + 19", "p + 43"], ["p", 19, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"p": 19}, "is_reverse": true}}
| 2,100
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 1; j = r + 9; u = j + 19; z = d + 3; w = p + 6; a = z + 12; e = u + 3; r = l + 18; n = i + 6; i = p + 19; d = n + 1; p = 19; f = a + 2. If p = 19, 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 a = z + 12 to f, which gives f = z + 14.\n2. Substitute z = d + 3 to f, which gives f = d + 17.\n3. Substitute d = n + 1 to f, which gives f = n + 18.\n4. Substitute n = i + 6 to f, which gives f = i + 24.\n5. Substitute i = p + 19 to f, which gives f = p + 43.\n6. Substitute p = 19 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 2100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 1; j = r + 9; u = j + 19; z = d + 3; w = p + 6; a = z + 12; e = u + 3; r = l + 18; n = i + 6; i = p + 19; d = n + 1; p = 19; f = a + 2. If p = 19, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 12", "y": "g + 14", "s": "y + 6", "t": "s + 15", "f": "t + 6", "x": "f + 1", "q": "k + 5", "m": "q + 15", "h": "m + 17", "w": "h + 20", "d": "w + 4", "p": "d + 14", "k": 8}, "premises": {"k": 8}, "target": "x"}, "answer": {"steps": [["f", "t + 6", "t + 7"], ["t", "s + 15", "s + 22"], ["s", "y + 6", "y + 28"], ["y", "g + 14", "g + 42"], ["g", "k + 12", "k + 54"], ["k", 8, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"k": 8}, "is_reverse": true}}
| 2,101
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 6; h = m + 17; t = s + 15; x = f + 1; w = h + 20; d = w + 4; f = t + 6; m = q + 15; k = 8; p = d + 14; g = k + 12; q = k + 5; y = g + 14. Given that k = 8, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 6 to x, which gives x = t + 7.\n2. Substitute t = s + 15 to x, which gives x = s + 22.\n3. Substitute s = y + 6 to x, which gives x = y + 28.\n4. Substitute y = g + 14 to x, which gives x = g + 42.\n5. Substitute g = k + 12 to x, which gives x = k + 54.\n6. Substitute k = 8 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 2101,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 6; h = m + 17; t = s + 15; x = f + 1; w = h + 20; d = w + 4; f = t + 6; m = q + 15; k = 8; p = d + 14; g = k + 12; q = k + 5; y = g + 14. Given that k = 8, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "o + 15", "t": "c + 14", "x": "t + 17", "k": "x + 17", "b": "k + 5", "j": "b + 14", "z": "o + 8", "d": "z + 1", "l": "d + 16", "u": "l + 5", "i": "u + 3", "r": "i + 8", "o": 2}, "premises": {"o": 2}, "target": "j"}, "answer": {"steps": [["b", "k + 5", "k + 19"], ["k", "x + 17", "x + 36"], ["x", "t + 17", "t + 53"], ["t", "c + 14", "c + 67"], ["c", "o + 15", "o + 82"], ["o", 2, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"o": 2}, "is_reverse": true}}
| 2,102
| 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 + 17; r = i + 8; o = 2; u = l + 5; z = o + 8; k = x + 17; c = o + 15; t = c + 14; b = k + 5; l = d + 16; i = u + 3; j = b + 14; d = z + 1. If o = 2, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 5 to j, which gives j = k + 19.\n2. Substitute k = x + 17 to j, which gives j = x + 36.\n3. Substitute x = t + 17 to j, which gives j = t + 53.\n4. Substitute t = c + 14 to j, which gives j = c + 67.\n5. Substitute c = o + 15 to j, which gives j = o + 82.\n6. Substitute o = 2 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 2102,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 17; r = i + 8; o = 2; u = l + 5; z = o + 8; k = x + 17; c = o + 15; t = c + 14; b = k + 5; l = d + 16; i = u + 3; j = b + 14; d = z + 1. If o = 2, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 14", "q": "l + 8", "f": "q + 5", "c": "f + 16", "e": "c + 15", "p": "e + 13", "a": "s + 2", "g": "a + 15", "t": "g + 4", "u": "t + 5", "b": "u + 16", "m": "b + 1", "s": 14}, "premises": {"s": 14}, "target": "p"}, "answer": {"steps": [["e", "c + 15", "c + 28"], ["c", "f + 16", "f + 44"], ["f", "q + 5", "q + 49"], ["q", "l + 8", "l + 57"], ["l", "s + 14", "s + 71"], ["s", 14, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"s": 14}, "is_reverse": true}}
| 2,103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 8; t = g + 4; s = 14; a = s + 2; b = u + 16; u = t + 5; c = f + 16; l = s + 14; f = q + 5; g = a + 15; e = c + 15; p = e + 13; m = b + 1. Given that s = 14, find 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 e = c + 15 to p, which gives p = c + 28.\n2. Substitute c = f + 16 to p, which gives p = f + 44.\n3. Substitute f = q + 5 to p, which gives p = q + 49.\n4. Substitute q = l + 8 to p, which gives p = l + 57.\n5. Substitute l = s + 14 to p, which gives p = s + 71.\n6. Substitute s = 14 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 2103,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 8; t = g + 4; s = 14; a = s + 2; b = u + 16; u = t + 5; c = f + 16; l = s + 14; f = q + 5; g = a + 15; e = c + 15; p = e + 13; m = b + 1. Given that s = 14, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 10", "b": "h + 1", "f": "b + 13", "s": "f + 7", "y": "s + 11", "c": "y + 11", "g": "n + 7", "a": "g + 2", "o": "a + 8", "q": "o + 2", "m": "q + 1", "t": "m + 8", "n": 9}, "premises": {"n": 9}, "target": "c"}, "answer": {"steps": [["y", "s + 11", "s + 22"], ["s", "f + 7", "f + 29"], ["f", "b + 13", "b + 42"], ["b", "h + 1", "h + 43"], ["h", "n + 10", "n + 53"], ["n", 9, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"n": 9}, "is_reverse": true}}
| 2,104
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 7; o = a + 8; c = y + 11; f = b + 13; n = 9; b = h + 1; m = q + 1; a = g + 2; t = m + 8; q = o + 2; s = f + 7; h = n + 10; y = s + 11. If n = 9, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 11 to c, which gives c = s + 22.\n2. Substitute s = f + 7 to c, which gives c = f + 29.\n3. Substitute f = b + 13 to c, which gives c = b + 42.\n4. Substitute b = h + 1 to c, which gives c = h + 43.\n5. Substitute h = n + 10 to c, which gives c = n + 53.\n6. Substitute n = 9 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 2104,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 7; o = a + 8; c = y + 11; f = b + 13; n = 9; b = h + 1; m = q + 1; a = g + 2; t = m + 8; q = o + 2; s = f + 7; h = n + 10; y = s + 11. If n = 9, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 6", "y": "w + 9", "f": "y + 4", "a": "f + 12", "t": "a + 11", "k": "t + 9", "g": "h + 2", "l": "g + 2", "p": "l + 14", "j": "p + 2", "v": "j + 4", "r": "v + 6", "h": 11}, "premises": {"h": 11}, "target": "k"}, "answer": {"steps": [["t", "a + 11", "a + 20"], ["a", "f + 12", "f + 32"], ["f", "y + 4", "y + 36"], ["y", "w + 9", "w + 45"], ["w", "h + 6", "h + 51"], ["h", 11, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"h": 11}, "is_reverse": true}}
| 2,105
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 11; y = w + 9; j = p + 2; v = j + 4; l = g + 2; k = t + 9; w = h + 6; g = h + 2; p = l + 14; a = f + 12; f = y + 4; r = v + 6; t = a + 11. If h = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 11 to k, which gives k = a + 20.\n2. Substitute a = f + 12 to k, which gives k = f + 32.\n3. Substitute f = y + 4 to k, which gives k = y + 36.\n4. Substitute y = w + 9 to k, which gives k = w + 45.\n5. Substitute w = h + 6 to k, which gives k = h + 51.\n6. Substitute h = 11 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 2105,
"question": "Consider a system of variables where each variable is defined as follows: h = 11; y = w + 9; j = p + 2; v = j + 4; l = g + 2; k = t + 9; w = h + 6; g = h + 2; p = l + 14; a = f + 12; f = y + 4; r = v + 6; t = a + 11. If h = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"a": "y + 4", "q": "a + 14", "n": "q + 2", "d": "n + 15", "j": "d + 12", "u": "j + 3", "v": "y + 15", "s": "v + 15", "b": "s + 2", "z": "b + 12", "e": "z + 1", "h": "e + 19", "y": 1}, "premises": {"y": 1}, "target": "u"}, "answer": {"steps": [["j", "d + 12", "d + 15"], ["d", "n + 15", "n + 30"], ["n", "q + 2", "q + 32"], ["q", "a + 14", "a + 46"], ["a", "y + 4", "y + 50"], ["y", 1, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"y": 1}, "is_reverse": true}}
| 2,106
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 2; b = s + 2; v = y + 15; u = j + 3; s = v + 15; d = n + 15; z = b + 12; q = a + 14; y = 1; a = y + 4; e = z + 1; h = e + 19; j = d + 12. Given that y = 1, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 12 to u, which gives u = d + 15.\n2. Substitute d = n + 15 to u, which gives u = n + 30.\n3. Substitute n = q + 2 to u, which gives u = q + 32.\n4. Substitute q = a + 14 to u, which gives u = a + 46.\n5. Substitute a = y + 4 to u, which gives u = y + 50.\n6. Substitute y = 1 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 2106,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 2; b = s + 2; v = y + 15; u = j + 3; s = v + 15; d = n + 15; z = b + 12; q = a + 14; y = 1; a = y + 4; e = z + 1; h = e + 19; j = d + 12. Given that y = 1, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"r": "h + 5", "b": "r + 4", "f": "b + 1", "z": "f + 6", "p": "z + 10", "k": "p + 13", "t": "h + 8", "v": "t + 20", "u": "v + 4", "w": "u + 11", "g": "w + 11", "a": "g + 11", "h": 17}, "premises": {"h": 17}, "target": "k"}, "answer": {"steps": [["p", "z + 10", "z + 23"], ["z", "f + 6", "f + 29"], ["f", "b + 1", "b + 30"], ["b", "r + 4", "r + 34"], ["r", "h + 5", "h + 39"], ["h", 17, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"h": 17}, "is_reverse": true}}
| 2,107
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 11; f = b + 1; g = w + 11; t = h + 8; k = p + 13; v = t + 20; b = r + 4; r = h + 5; p = z + 10; h = 17; z = f + 6; a = g + 11; u = v + 4. If h = 17, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 10 to k, which gives k = z + 23.\n2. Substitute z = f + 6 to k, which gives k = f + 29.\n3. Substitute f = b + 1 to k, which gives k = b + 30.\n4. Substitute b = r + 4 to k, which gives k = r + 34.\n5. Substitute r = h + 5 to k, which gives k = h + 39.\n6. Substitute h = 17 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 2107,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 11; f = b + 1; g = w + 11; t = h + 8; k = p + 13; v = t + 20; b = r + 4; r = h + 5; p = z + 10; h = 17; z = f + 6; a = g + 11; u = v + 4. If h = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 7", "z": "x + 12", "p": "z + 7", "a": "p + 10", "o": "a + 3", "v": "o + 13", "m": "t + 16", "n": "m + 17", "d": "n + 13", "y": "d + 18", "s": "y + 2", "r": "s + 10", "t": 12}, "premises": {"t": 12}, "target": "v"}, "answer": {"steps": [["o", "a + 3", "a + 16"], ["a", "p + 10", "p + 26"], ["p", "z + 7", "z + 33"], ["z", "x + 12", "x + 45"], ["x", "t + 7", "t + 52"], ["t", 12, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"t": 12}, "is_reverse": true}}
| 2,108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 18; a = p + 10; o = a + 3; m = t + 16; d = n + 13; s = y + 2; p = z + 7; t = 12; x = t + 7; z = x + 12; n = m + 17; r = s + 10; v = o + 13. Given that t = 12, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 3 to v, which gives v = a + 16.\n2. Substitute a = p + 10 to v, which gives v = p + 26.\n3. Substitute p = z + 7 to v, which gives v = z + 33.\n4. Substitute z = x + 12 to v, which gives v = x + 45.\n5. Substitute x = t + 7 to v, which gives v = t + 52.\n6. Substitute t = 12 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 2108,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 18; a = p + 10; o = a + 3; m = t + 16; d = n + 13; s = y + 2; p = z + 7; t = 12; x = t + 7; z = x + 12; n = m + 17; r = s + 10; v = o + 13. Given that t = 12, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 15", "u": "o + 3", "k": "u + 15", "f": "k + 4", "m": "f + 20", "g": "m + 19", "p": "a + 6", "i": "p + 4", "q": "i + 18", "l": "q + 4", "v": "l + 16", "s": "v + 16", "a": 17}, "premises": {"a": 17}, "target": "g"}, "answer": {"steps": [["m", "f + 20", "f + 39"], ["f", "k + 4", "k + 43"], ["k", "u + 15", "u + 58"], ["u", "o + 3", "o + 61"], ["o", "a + 15", "a + 76"], ["a", 17, "93"]], "target_var_name": "g", "target_value": 93, "value_dict": {"a": 17}, "is_reverse": true}}
| 2,109
| 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 = f + 20; i = p + 4; o = a + 15; l = q + 4; v = l + 16; g = m + 19; s = v + 16; u = o + 3; a = 17; p = a + 6; f = k + 4; k = u + 15; q = i + 18. If a = 17, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 20 to g, which gives g = f + 39.\n2. Substitute f = k + 4 to g, which gives g = k + 43.\n3. Substitute k = u + 15 to g, which gives g = u + 58.\n4. Substitute u = o + 3 to g, which gives g = o + 61.\n5. Substitute o = a + 15 to g, which gives g = a + 76.\n6. Substitute a = 17 to g, which gives g = 93.\n\nThus, the final answer is g = \\boxed{93}.",
"index": 2109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 20; i = p + 4; o = a + 15; l = q + 4; v = l + 16; g = m + 19; s = v + 16; u = o + 3; a = 17; p = a + 6; f = k + 4; k = u + 15; q = i + 18. If a = 17, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 6", "d": "p + 7", "n": "d + 19", "r": "n + 3", "s": "r + 9", "m": "s + 1", "v": "y + 14", "f": "v + 20", "q": "f + 16", "g": "q + 1", "i": "g + 18", "j": "i + 2", "y": 3}, "premises": {"y": 3}, "target": "m"}, "answer": {"steps": [["s", "r + 9", "r + 10"], ["r", "n + 3", "n + 13"], ["n", "d + 19", "d + 32"], ["d", "p + 7", "p + 39"], ["p", "y + 6", "y + 45"], ["y", 3, "48"]], "target_var_name": "m", "target_value": 48, "value_dict": {"y": 3}, "is_reverse": true}}
| 2,110
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 2; r = n + 3; p = y + 6; s = r + 9; f = v + 20; d = p + 7; q = f + 16; m = s + 1; g = q + 1; y = 3; n = d + 19; v = y + 14; i = g + 18. If y = 3, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 9 to m, which gives m = r + 10.\n2. Substitute r = n + 3 to m, which gives m = n + 13.\n3. Substitute n = d + 19 to m, which gives m = d + 32.\n4. Substitute d = p + 7 to m, which gives m = p + 39.\n5. Substitute p = y + 6 to m, which gives m = y + 45.\n6. Substitute y = 3 to m, which gives m = 48.\n\nThus, the final answer is m = \\boxed{48}.",
"index": 2110,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 2; r = n + 3; p = y + 6; s = r + 9; f = v + 20; d = p + 7; q = f + 16; m = s + 1; g = q + 1; y = 3; n = d + 19; v = y + 14; i = g + 18. If y = 3, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 3", "f": "i + 3", "b": "f + 6", "z": "b + 12", "a": "z + 6", "s": "a + 6", "r": "g + 3", "k": "r + 18", "m": "k + 10", "o": "m + 2", "q": "o + 10", "e": "q + 20", "g": 5}, "premises": {"g": 5}, "target": "s"}, "answer": {"steps": [["a", "z + 6", "z + 12"], ["z", "b + 12", "b + 24"], ["b", "f + 6", "f + 30"], ["f", "i + 3", "i + 33"], ["i", "g + 3", "g + 36"], ["g", 5, "41"]], "target_var_name": "s", "target_value": 41, "value_dict": {"g": 5}, "is_reverse": true}}
| 2,111
| 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 = f + 6; o = m + 2; r = g + 3; k = r + 18; i = g + 3; z = b + 12; m = k + 10; e = q + 20; a = z + 6; f = i + 3; q = o + 10; g = 5; s = a + 6. If g = 5, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 6 to s, which gives s = z + 12.\n2. Substitute z = b + 12 to s, which gives s = b + 24.\n3. Substitute b = f + 6 to s, which gives s = f + 30.\n4. Substitute f = i + 3 to s, which gives s = i + 33.\n5. Substitute i = g + 3 to s, which gives s = g + 36.\n6. Substitute g = 5 to s, which gives s = 41.\n\nThus, the final answer is s = \\boxed{41}.",
"index": 2111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 6; o = m + 2; r = g + 3; k = r + 18; i = g + 3; z = b + 12; m = k + 10; e = q + 20; a = z + 6; f = i + 3; q = o + 10; g = 5; s = a + 6. If g = 5, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 9", "w": "f + 3", "j": "w + 18", "z": "j + 16", "o": "z + 19", "e": "o + 5", "n": "m + 16", "t": "n + 14", "h": "t + 7", "x": "h + 4", "l": "x + 14", "b": "l + 7", "m": 14}, "premises": {"m": 14}, "target": "e"}, "answer": {"steps": [["o", "z + 19", "z + 24"], ["z", "j + 16", "j + 40"], ["j", "w + 18", "w + 58"], ["w", "f + 3", "f + 61"], ["f", "m + 9", "m + 70"], ["m", 14, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"m": 14}, "is_reverse": true}}
| 2,112
| 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 = o + 5; j = w + 18; b = l + 7; w = f + 3; o = z + 19; t = n + 14; l = x + 14; f = m + 9; h = t + 7; n = m + 16; z = j + 16; x = h + 4; m = 14. If m = 14, what is the resulting 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 o = z + 19 to e, which gives e = z + 24.\n2. Substitute z = j + 16 to e, which gives e = j + 40.\n3. Substitute j = w + 18 to e, which gives e = w + 58.\n4. Substitute w = f + 3 to e, which gives e = f + 61.\n5. Substitute f = m + 9 to e, which gives e = m + 70.\n6. Substitute m = 14 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 2112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 5; j = w + 18; b = l + 7; w = f + 3; o = z + 19; t = n + 14; l = x + 14; f = m + 9; h = t + 7; n = m + 16; z = j + 16; x = h + 4; m = 14. If m = 14, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 3", "o": "m + 12", "x": "o + 8", "c": "x + 4", "d": "c + 19", "w": "d + 13", "g": "k + 9", "b": "g + 19", "l": "b + 12", "q": "l + 6", "u": "q + 14", "t": "u + 14", "k": 13}, "premises": {"k": 13}, "target": "w"}, "answer": {"steps": [["d", "c + 19", "c + 32"], ["c", "x + 4", "x + 36"], ["x", "o + 8", "o + 44"], ["o", "m + 12", "m + 56"], ["m", "k + 3", "k + 59"], ["k", 13, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"k": 13}, "is_reverse": true}}
| 2,113
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 12; u = q + 14; g = k + 9; d = c + 19; q = l + 6; x = o + 8; b = g + 19; o = m + 12; t = u + 14; w = d + 13; m = k + 3; c = x + 4; k = 13. Given that k = 13, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 19 to w, which gives w = c + 32.\n2. Substitute c = x + 4 to w, which gives w = x + 36.\n3. Substitute x = o + 8 to w, which gives w = o + 44.\n4. Substitute o = m + 12 to w, which gives w = m + 56.\n5. Substitute m = k + 3 to w, which gives w = k + 59.\n6. Substitute k = 13 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 2113,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 12; u = q + 14; g = k + 9; d = c + 19; q = l + 6; x = o + 8; b = g + 19; o = m + 12; t = u + 14; w = d + 13; m = k + 3; c = x + 4; k = 13. Given that k = 13, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 12", "d": "v + 20", "c": "d + 9", "m": "c + 13", "b": "m + 1", "y": "b + 10", "u": "e + 14", "g": "u + 7", "f": "g + 9", "l": "f + 1", "p": "l + 11", "t": "p + 14", "e": 7}, "premises": {"e": 7}, "target": "y"}, "answer": {"steps": [["b", "m + 1", "m + 11"], ["m", "c + 13", "c + 24"], ["c", "d + 9", "d + 33"], ["d", "v + 20", "v + 53"], ["v", "e + 12", "e + 65"], ["e", 7, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"e": 7}, "is_reverse": true}}
| 2,114
| 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 = m + 1; g = u + 7; t = p + 14; c = d + 9; l = f + 1; p = l + 11; d = v + 20; f = g + 9; y = b + 10; m = c + 13; v = e + 12; u = e + 14; e = 7. If e = 7, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 1 to y, which gives y = m + 11.\n2. Substitute m = c + 13 to y, which gives y = c + 24.\n3. Substitute c = d + 9 to y, which gives y = d + 33.\n4. Substitute d = v + 20 to y, which gives y = v + 53.\n5. Substitute v = e + 12 to y, which gives y = e + 65.\n6. Substitute e = 7 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 2114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 1; g = u + 7; t = p + 14; c = d + 9; l = f + 1; p = l + 11; d = v + 20; f = g + 9; y = b + 10; m = c + 13; v = e + 12; u = e + 14; e = 7. If e = 7, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 13", "q": "l + 3", "j": "q + 16", "t": "j + 14", "d": "t + 13", "m": "d + 18", "r": "o + 2", "h": "r + 8", "v": "h + 8", "s": "v + 7", "p": "s + 2", "b": "p + 19", "o": 1}, "premises": {"o": 1}, "target": "m"}, "answer": {"steps": [["d", "t + 13", "t + 31"], ["t", "j + 14", "j + 45"], ["j", "q + 16", "q + 61"], ["q", "l + 3", "l + 64"], ["l", "o + 13", "o + 77"], ["o", 1, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"o": 1}, "is_reverse": true}}
| 2,115
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 2; t = j + 14; h = r + 8; l = o + 13; b = p + 19; q = l + 3; m = d + 18; s = v + 7; j = q + 16; v = h + 8; d = t + 13; r = o + 2; o = 1. Given that o = 1, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 13 to m, which gives m = t + 31.\n2. Substitute t = j + 14 to m, which gives m = j + 45.\n3. Substitute j = q + 16 to m, which gives m = q + 61.\n4. Substitute q = l + 3 to m, which gives m = l + 64.\n5. Substitute l = o + 13 to m, which gives m = o + 77.\n6. Substitute o = 1 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 2115,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 2; t = j + 14; h = r + 8; l = o + 13; b = p + 19; q = l + 3; m = d + 18; s = v + 7; j = q + 16; v = h + 8; d = t + 13; r = o + 2; o = 1. Given that o = 1, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 14", "q": "u + 5", "s": "q + 1", "c": "s + 16", "a": "c + 4", "e": "a + 1", "l": "r + 10", "y": "l + 18", "k": "y + 2", "t": "k + 5", "m": "t + 5", "p": "m + 1", "r": 19}, "premises": {"r": 19}, "target": "e"}, "answer": {"steps": [["a", "c + 4", "c + 5"], ["c", "s + 16", "s + 21"], ["s", "q + 1", "q + 22"], ["q", "u + 5", "u + 27"], ["u", "r + 14", "r + 41"], ["r", 19, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"r": 19}, "is_reverse": true}}
| 2,116
| 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 = y + 2; p = m + 1; e = a + 1; y = l + 18; m = t + 5; a = c + 4; s = q + 1; c = s + 16; q = u + 5; l = r + 10; r = 19; u = r + 14; t = k + 5. If r = 19, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 4 to e, which gives e = c + 5.\n2. Substitute c = s + 16 to e, which gives e = s + 21.\n3. Substitute s = q + 1 to e, which gives e = q + 22.\n4. Substitute q = u + 5 to e, which gives e = u + 27.\n5. Substitute u = r + 14 to e, which gives e = r + 41.\n6. Substitute r = 19 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 2116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 2; p = m + 1; e = a + 1; y = l + 18; m = t + 5; a = c + 4; s = q + 1; c = s + 16; q = u + 5; l = r + 10; r = 19; u = r + 14; t = k + 5. If r = 19, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 11", "d": "u + 8", "h": "d + 17", "x": "h + 11", "m": "x + 14", "j": "m + 2", "b": "z + 3", "c": "b + 13", "k": "c + 8", "i": "k + 2", "s": "i + 9", "p": "s + 4", "z": 19}, "premises": {"z": 19}, "target": "j"}, "answer": {"steps": [["m", "x + 14", "x + 16"], ["x", "h + 11", "h + 27"], ["h", "d + 17", "d + 44"], ["d", "u + 8", "u + 52"], ["u", "z + 11", "z + 63"], ["z", 19, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"z": 19}, "is_reverse": true}}
| 2,117
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 4; d = u + 8; u = z + 11; z = 19; s = i + 9; c = b + 13; b = z + 3; x = h + 11; m = x + 14; j = m + 2; h = d + 17; k = c + 8; i = k + 2. Given that z = 19, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 14 to j, which gives j = x + 16.\n2. Substitute x = h + 11 to j, which gives j = h + 27.\n3. Substitute h = d + 17 to j, which gives j = d + 44.\n4. Substitute d = u + 8 to j, which gives j = u + 52.\n5. Substitute u = z + 11 to j, which gives j = z + 63.\n6. Substitute z = 19 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 2117,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 4; d = u + 8; u = z + 11; z = 19; s = i + 9; c = b + 13; b = z + 3; x = h + 11; m = x + 14; j = m + 2; h = d + 17; k = c + 8; i = k + 2. Given that z = 19, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 10", "d": "h + 7", "g": "d + 16", "w": "g + 5", "m": "w + 6", "c": "m + 16", "u": "f + 5", "k": "u + 17", "p": "k + 1", "n": "p + 17", "l": "n + 2", "t": "l + 3", "f": 16}, "premises": {"f": 16}, "target": "c"}, "answer": {"steps": [["m", "w + 6", "w + 22"], ["w", "g + 5", "g + 27"], ["g", "d + 16", "d + 43"], ["d", "h + 7", "h + 50"], ["h", "f + 10", "f + 60"], ["f", 16, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"f": 16}, "is_reverse": true}}
| 2,118
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 3; g = d + 16; d = h + 7; u = f + 5; k = u + 17; f = 16; m = w + 6; p = k + 1; c = m + 16; l = n + 2; n = p + 17; h = f + 10; w = g + 5. If f = 16, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 6 to c, which gives c = w + 22.\n2. Substitute w = g + 5 to c, which gives c = g + 27.\n3. Substitute g = d + 16 to c, which gives c = d + 43.\n4. Substitute d = h + 7 to c, which gives c = h + 50.\n5. Substitute h = f + 10 to c, which gives c = f + 60.\n6. Substitute f = 16 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 2118,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 3; g = d + 16; d = h + 7; u = f + 5; k = u + 17; f = 16; m = w + 6; p = k + 1; c = m + 16; l = n + 2; n = p + 17; h = f + 10; w = g + 5. If f = 16, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 20", "p": "o + 8", "w": "p + 10", "s": "w + 17", "e": "s + 20", "r": "e + 5", "z": "b + 4", "q": "z + 3", "j": "q + 9", "l": "j + 1", "u": "l + 5", "i": "u + 9", "b": 2}, "premises": {"b": 2}, "target": "r"}, "answer": {"steps": [["e", "s + 20", "s + 25"], ["s", "w + 17", "w + 42"], ["w", "p + 10", "p + 52"], ["p", "o + 8", "o + 60"], ["o", "b + 20", "b + 80"], ["b", 2, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"b": 2}, "is_reverse": true}}
| 2,119
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 5; o = b + 20; z = b + 4; w = p + 10; j = q + 9; u = l + 5; s = w + 17; i = u + 9; q = z + 3; p = o + 8; l = j + 1; b = 2; e = s + 20. If b = 2, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 20 to r, which gives r = s + 25.\n2. Substitute s = w + 17 to r, which gives r = w + 42.\n3. Substitute w = p + 10 to r, which gives r = p + 52.\n4. Substitute p = o + 8 to r, which gives r = o + 60.\n5. Substitute o = b + 20 to r, which gives r = b + 80.\n6. Substitute b = 2 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 2119,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 5; o = b + 20; z = b + 4; w = p + 10; j = q + 9; u = l + 5; s = w + 17; i = u + 9; q = z + 3; p = o + 8; l = j + 1; b = 2; e = s + 20. If b = 2, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 12", "j": "e + 18", "y": "j + 8", "f": "y + 1", "z": "f + 16", "d": "z + 9", "k": "c + 15", "m": "k + 8", "q": "m + 2", "t": "q + 8", "b": "t + 9", "l": "b + 3", "c": 10}, "premises": {"c": 10}, "target": "d"}, "answer": {"steps": [["z", "f + 16", "f + 25"], ["f", "y + 1", "y + 26"], ["y", "j + 8", "j + 34"], ["j", "e + 18", "e + 52"], ["e", "c + 12", "c + 64"], ["c", 10, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"c": 10}, "is_reverse": true}}
| 2,120
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 10; f = y + 1; y = j + 8; k = c + 15; z = f + 16; t = q + 8; j = e + 18; q = m + 2; e = c + 12; d = z + 9; b = t + 9; m = k + 8; l = b + 3. If c = 10, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 16 to d, which gives d = f + 25.\n2. Substitute f = y + 1 to d, which gives d = y + 26.\n3. Substitute y = j + 8 to d, which gives d = j + 34.\n4. Substitute j = e + 18 to d, which gives d = e + 52.\n5. Substitute e = c + 12 to d, which gives d = c + 64.\n6. Substitute c = 10 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 2120,
"question": "Consider a system of variables where each variable is defined as follows: c = 10; f = y + 1; y = j + 8; k = c + 15; z = f + 16; t = q + 8; j = e + 18; q = m + 2; e = c + 12; d = z + 9; b = t + 9; m = k + 8; l = b + 3. If c = 10, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 16", "p": "d + 4", "m": "p + 6", "z": "m + 2", "r": "z + 3", "v": "r + 2", "k": "b + 16", "t": "k + 4", "i": "t + 15", "x": "i + 9", "f": "x + 19", "a": "f + 1", "b": 9}, "premises": {"b": 9}, "target": "v"}, "answer": {"steps": [["r", "z + 3", "z + 5"], ["z", "m + 2", "m + 7"], ["m", "p + 6", "p + 13"], ["p", "d + 4", "d + 17"], ["d", "b + 16", "b + 33"], ["b", 9, "42"]], "target_var_name": "v", "target_value": 42, "value_dict": {"b": 9}, "is_reverse": true}}
| 2,121
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 19; v = r + 2; z = m + 2; t = k + 4; b = 9; m = p + 6; x = i + 9; i = t + 15; a = f + 1; d = b + 16; p = d + 4; r = z + 3; k = b + 16. If b = 9, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to v, which gives v = z + 5.\n2. Substitute z = m + 2 to v, which gives v = m + 7.\n3. Substitute m = p + 6 to v, which gives v = p + 13.\n4. Substitute p = d + 4 to v, which gives v = d + 17.\n5. Substitute d = b + 16 to v, which gives v = b + 33.\n6. Substitute b = 9 to v, which gives v = 42.\n\nThus, the final answer is v = \\boxed{42}.",
"index": 2121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 19; v = r + 2; z = m + 2; t = k + 4; b = 9; m = p + 6; x = i + 9; i = t + 15; a = f + 1; d = b + 16; p = d + 4; r = z + 3; k = b + 16. If b = 9, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 7", "v": "y + 4", "x": "v + 18", "r": "x + 19", "h": "r + 9", "l": "h + 5", "b": "z + 18", "n": "b + 10", "j": "n + 7", "i": "j + 13", "f": "i + 1", "w": "f + 3", "z": 18}, "premises": {"z": 18}, "target": "l"}, "answer": {"steps": [["h", "r + 9", "r + 14"], ["r", "x + 19", "x + 33"], ["x", "v + 18", "v + 51"], ["v", "y + 4", "y + 55"], ["y", "z + 7", "z + 62"], ["z", 18, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"z": 18}, "is_reverse": true}}
| 2,122
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 5; j = n + 7; r = x + 19; v = y + 4; i = j + 13; x = v + 18; n = b + 10; f = i + 1; z = 18; w = f + 3; h = r + 9; y = z + 7; b = z + 18. If z = 18, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 9 to l, which gives l = r + 14.\n2. Substitute r = x + 19 to l, which gives l = x + 33.\n3. Substitute x = v + 18 to l, which gives l = v + 51.\n4. Substitute v = y + 4 to l, which gives l = y + 55.\n5. Substitute y = z + 7 to l, which gives l = z + 62.\n6. Substitute z = 18 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 2122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 5; j = n + 7; r = x + 19; v = y + 4; i = j + 13; x = v + 18; n = b + 10; f = i + 1; z = 18; w = f + 3; h = r + 9; y = z + 7; b = z + 18. If z = 18, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 16", "f": "b + 8", "e": "f + 8", "m": "e + 12", "k": "m + 11", "r": "k + 17", "q": "w + 18", "h": "q + 15", "p": "h + 19", "a": "p + 16", "g": "a + 13", "n": "g + 11", "w": 7}, "premises": {"w": 7}, "target": "r"}, "answer": {"steps": [["k", "m + 11", "m + 28"], ["m", "e + 12", "e + 40"], ["e", "f + 8", "f + 48"], ["f", "b + 8", "b + 56"], ["b", "w + 16", "w + 72"], ["w", 7, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"w": 7}, "is_reverse": true}}
| 2,123
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 16; k = m + 11; g = a + 13; m = e + 12; w = 7; n = g + 11; f = b + 8; q = w + 18; p = h + 19; a = p + 16; e = f + 8; r = k + 17; h = q + 15. Given that w = 7, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 11 to r, which gives r = m + 28.\n2. Substitute m = e + 12 to r, which gives r = e + 40.\n3. Substitute e = f + 8 to r, which gives r = f + 48.\n4. Substitute f = b + 8 to r, which gives r = b + 56.\n5. Substitute b = w + 16 to r, which gives r = w + 72.\n6. Substitute w = 7 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 2123,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 16; k = m + 11; g = a + 13; m = e + 12; w = 7; n = g + 11; f = b + 8; q = w + 18; p = h + 19; a = p + 16; e = f + 8; r = k + 17; h = q + 15. Given that w = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 16", "g": "k + 15", "x": "g + 15", "e": "x + 7", "c": "e + 13", "t": "c + 9", "m": "n + 2", "d": "m + 8", "u": "d + 14", "j": "u + 10", "s": "j + 8", "b": "s + 1", "n": 14}, "premises": {"n": 14}, "target": "t"}, "answer": {"steps": [["c", "e + 13", "e + 22"], ["e", "x + 7", "x + 29"], ["x", "g + 15", "g + 44"], ["g", "k + 15", "k + 59"], ["k", "n + 16", "n + 75"], ["n", 14, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"n": 14}, "is_reverse": true}}
| 2,124
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 2; k = n + 16; s = j + 8; j = u + 10; u = d + 14; x = g + 15; g = k + 15; d = m + 8; n = 14; e = x + 7; c = e + 13; t = c + 9; b = s + 1. Given that n = 14, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 13 to t, which gives t = e + 22.\n2. Substitute e = x + 7 to t, which gives t = x + 29.\n3. Substitute x = g + 15 to t, which gives t = g + 44.\n4. Substitute g = k + 15 to t, which gives t = k + 59.\n5. Substitute k = n + 16 to t, which gives t = n + 75.\n6. Substitute n = 14 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 2124,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 2; k = n + 16; s = j + 8; j = u + 10; u = d + 14; x = g + 15; g = k + 15; d = m + 8; n = 14; e = x + 7; c = e + 13; t = c + 9; b = s + 1. Given that n = 14, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"v": "l + 12", "p": "v + 19", "u": "p + 6", "q": "u + 10", "s": "q + 6", "w": "s + 5", "r": "l + 20", "k": "r + 1", "z": "k + 4", "e": "z + 19", "f": "e + 13", "m": "f + 10", "l": 2}, "premises": {"l": 2}, "target": "w"}, "answer": {"steps": [["s", "q + 6", "q + 11"], ["q", "u + 10", "u + 21"], ["u", "p + 6", "p + 27"], ["p", "v + 19", "v + 46"], ["v", "l + 12", "l + 58"], ["l", 2, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"l": 2}, "is_reverse": true}}
| 2,125
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 4; u = p + 6; f = e + 13; m = f + 10; q = u + 10; s = q + 6; r = l + 20; w = s + 5; p = v + 19; k = r + 1; l = 2; e = z + 19; v = l + 12. If l = 2, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 6 to w, which gives w = q + 11.\n2. Substitute q = u + 10 to w, which gives w = u + 21.\n3. Substitute u = p + 6 to w, which gives w = p + 27.\n4. Substitute p = v + 19 to w, which gives w = v + 46.\n5. Substitute v = l + 12 to w, which gives w = l + 58.\n6. Substitute l = 2 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 2125,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 4; u = p + 6; f = e + 13; m = f + 10; q = u + 10; s = q + 6; r = l + 20; w = s + 5; p = v + 19; k = r + 1; l = 2; e = z + 19; v = l + 12. If l = 2, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 7", "h": "e + 2", "i": "h + 4", "s": "i + 18", "b": "s + 1", "c": "b + 5", "n": "r + 12", "f": "n + 6", "t": "f + 17", "q": "t + 7", "z": "q + 16", "w": "z + 8", "r": 2}, "premises": {"r": 2}, "target": "c"}, "answer": {"steps": [["b", "s + 1", "s + 6"], ["s", "i + 18", "i + 24"], ["i", "h + 4", "h + 28"], ["h", "e + 2", "e + 30"], ["e", "r + 7", "r + 37"], ["r", 2, "39"]], "target_var_name": "c", "target_value": 39, "value_dict": {"r": 2}, "is_reverse": true}}
| 2,126
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 5; b = s + 1; h = e + 2; q = t + 7; r = 2; z = q + 16; t = f + 17; s = i + 18; e = r + 7; w = z + 8; f = n + 6; n = r + 12; i = h + 4. If r = 2, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 39,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 1 to c, which gives c = s + 6.\n2. Substitute s = i + 18 to c, which gives c = i + 24.\n3. Substitute i = h + 4 to c, which gives c = h + 28.\n4. Substitute h = e + 2 to c, which gives c = e + 30.\n5. Substitute e = r + 7 to c, which gives c = r + 37.\n6. Substitute r = 2 to c, which gives c = 39.\n\nThus, the final answer is c = \\boxed{39}.",
"index": 2126,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 5; b = s + 1; h = e + 2; q = t + 7; r = 2; z = q + 16; t = f + 17; s = i + 18; e = r + 7; w = z + 8; f = n + 6; n = r + 12; i = h + 4. If r = 2, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 11", "h": "l + 9", "j": "h + 9", "x": "j + 4", "r": "x + 13", "c": "r + 1", "z": "d + 19", "k": "z + 7", "m": "k + 11", "p": "m + 14", "f": "p + 20", "q": "f + 8", "d": 1}, "premises": {"d": 1}, "target": "c"}, "answer": {"steps": [["r", "x + 13", "x + 14"], ["x", "j + 4", "j + 18"], ["j", "h + 9", "h + 27"], ["h", "l + 9", "l + 36"], ["l", "d + 11", "d + 47"], ["d", 1, "48"]], "target_var_name": "c", "target_value": 48, "value_dict": {"d": 1}, "is_reverse": true}}
| 2,127
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 14; k = z + 7; f = p + 20; j = h + 9; l = d + 11; m = k + 11; z = d + 19; x = j + 4; d = 1; q = f + 8; c = r + 1; r = x + 13; h = l + 9. Given that d = 1, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 13 to c, which gives c = x + 14.\n2. Substitute x = j + 4 to c, which gives c = j + 18.\n3. Substitute j = h + 9 to c, which gives c = h + 27.\n4. Substitute h = l + 9 to c, which gives c = l + 36.\n5. Substitute l = d + 11 to c, which gives c = d + 47.\n6. Substitute d = 1 to c, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 2127,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 14; k = z + 7; f = p + 20; j = h + 9; l = d + 11; m = k + 11; z = d + 19; x = j + 4; d = 1; q = f + 8; c = r + 1; r = x + 13; h = l + 9. Given that d = 1, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 7", "x": "t + 14", "h": "x + 20", "z": "h + 1", "r": "z + 3", "m": "r + 2", "d": "e + 4", "o": "d + 14", "s": "o + 17", "n": "s + 7", "i": "n + 4", "c": "i + 20", "e": 15}, "premises": {"e": 15}, "target": "m"}, "answer": {"steps": [["r", "z + 3", "z + 5"], ["z", "h + 1", "h + 6"], ["h", "x + 20", "x + 26"], ["x", "t + 14", "t + 40"], ["t", "e + 7", "e + 47"], ["e", 15, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"e": 15}, "is_reverse": true}}
| 2,128
| 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 + 17; i = n + 4; z = h + 1; r = z + 3; d = e + 4; e = 15; m = r + 2; x = t + 14; h = x + 20; c = i + 20; t = e + 7; o = d + 14; n = s + 7. If e = 15, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to m, which gives m = z + 5.\n2. Substitute z = h + 1 to m, which gives m = h + 6.\n3. Substitute h = x + 20 to m, which gives m = x + 26.\n4. Substitute x = t + 14 to m, which gives m = t + 40.\n5. Substitute t = e + 7 to m, which gives m = e + 47.\n6. Substitute e = 15 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 2128,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 17; i = n + 4; z = h + 1; r = z + 3; d = e + 4; e = 15; m = r + 2; x = t + 14; h = x + 20; c = i + 20; t = e + 7; o = d + 14; n = s + 7. If e = 15, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 2", "y": "l + 17", "f": "y + 1", "o": "f + 19", "z": "o + 16", "c": "z + 1", "p": "w + 18", "e": "p + 13", "q": "e + 3", "i": "q + 13", "k": "i + 17", "u": "k + 13", "w": 17}, "premises": {"w": 17}, "target": "c"}, "answer": {"steps": [["z", "o + 16", "o + 17"], ["o", "f + 19", "f + 36"], ["f", "y + 1", "y + 37"], ["y", "l + 17", "l + 54"], ["l", "w + 2", "w + 56"], ["w", 17, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"w": 17}, "is_reverse": true}}
| 2,129
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 1; l = w + 2; w = 17; y = l + 17; i = q + 13; o = f + 19; e = p + 13; u = k + 13; z = o + 16; k = i + 17; q = e + 3; c = z + 1; p = w + 18. Given that w = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 16 to c, which gives c = o + 17.\n2. Substitute o = f + 19 to c, which gives c = f + 36.\n3. Substitute f = y + 1 to c, which gives c = y + 37.\n4. Substitute y = l + 17 to c, which gives c = l + 54.\n5. Substitute l = w + 2 to c, which gives c = w + 56.\n6. Substitute w = 17 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 2129,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 1; l = w + 2; w = 17; y = l + 17; i = q + 13; o = f + 19; e = p + 13; u = k + 13; z = o + 16; k = i + 17; q = e + 3; c = z + 1; p = w + 18. Given that w = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 12", "b": "j + 16", "v": "b + 11", "s": "v + 3", "t": "s + 13", "m": "t + 12", "n": "y + 1", "q": "n + 5", "u": "q + 11", "h": "u + 11", "e": "h + 18", "g": "e + 20", "y": 15}, "premises": {"y": 15}, "target": "m"}, "answer": {"steps": [["t", "s + 13", "s + 25"], ["s", "v + 3", "v + 28"], ["v", "b + 11", "b + 39"], ["b", "j + 16", "j + 55"], ["j", "y + 12", "y + 67"], ["y", 15, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"y": 15}, "is_reverse": true}}
| 2,130
| 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 = y + 1; s = v + 3; m = t + 12; j = y + 12; g = e + 20; e = h + 18; y = 15; v = b + 11; u = q + 11; b = j + 16; q = n + 5; h = u + 11; t = s + 13. If y = 15, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 13 to m, which gives m = s + 25.\n2. Substitute s = v + 3 to m, which gives m = v + 28.\n3. Substitute v = b + 11 to m, which gives m = b + 39.\n4. Substitute b = j + 16 to m, which gives m = j + 55.\n5. Substitute j = y + 12 to m, which gives m = y + 67.\n6. Substitute y = 15 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 2130,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 1; s = v + 3; m = t + 12; j = y + 12; g = e + 20; e = h + 18; y = 15; v = b + 11; u = q + 11; b = j + 16; q = n + 5; h = u + 11; t = s + 13. If y = 15, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 12", "d": "g + 16", "x": "d + 7", "k": "x + 7", "l": "k + 19", "o": "l + 6", "a": "v + 13", "h": "a + 4", "s": "h + 6", "w": "s + 14", "q": "w + 1", "y": "q + 3", "v": 4}, "premises": {"v": 4}, "target": "o"}, "answer": {"steps": [["l", "k + 19", "k + 25"], ["k", "x + 7", "x + 32"], ["x", "d + 7", "d + 39"], ["d", "g + 16", "g + 55"], ["g", "v + 12", "v + 67"], ["v", 4, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"v": 4}, "is_reverse": true}}
| 2,131
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 1; s = h + 6; h = a + 4; k = x + 7; d = g + 16; y = q + 3; v = 4; g = v + 12; o = l + 6; w = s + 14; x = d + 7; a = v + 13; l = k + 19. If v = 4, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 19 to o, which gives o = k + 25.\n2. Substitute k = x + 7 to o, which gives o = x + 32.\n3. Substitute x = d + 7 to o, which gives o = d + 39.\n4. Substitute d = g + 16 to o, which gives o = g + 55.\n5. Substitute g = v + 12 to o, which gives o = v + 67.\n6. Substitute v = 4 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 2131,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 1; s = h + 6; h = a + 4; k = x + 7; d = g + 16; y = q + 3; v = 4; g = v + 12; o = l + 6; w = s + 14; x = d + 7; a = v + 13; l = k + 19. If v = 4, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 8", "j": "r + 11", "f": "j + 18", "q": "f + 5", "m": "q + 19", "s": "m + 3", "v": "e + 2", "t": "v + 5", "z": "t + 7", "c": "z + 15", "i": "c + 11", "a": "i + 6", "e": 1}, "premises": {"e": 1}, "target": "s"}, "answer": {"steps": [["m", "q + 19", "q + 22"], ["q", "f + 5", "f + 27"], ["f", "j + 18", "j + 45"], ["j", "r + 11", "r + 56"], ["r", "e + 8", "e + 64"], ["e", 1, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"e": 1}, "is_reverse": true}}
| 2,132
| 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 = m + 3; f = j + 18; q = f + 5; z = t + 7; j = r + 11; m = q + 19; v = e + 2; c = z + 15; e = 1; a = i + 6; t = v + 5; i = c + 11; r = e + 8. If e = 1, what is the resulting 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 m = q + 19 to s, which gives s = q + 22.\n2. Substitute q = f + 5 to s, which gives s = f + 27.\n3. Substitute f = j + 18 to s, which gives s = j + 45.\n4. Substitute j = r + 11 to s, which gives s = r + 56.\n5. Substitute r = e + 8 to s, which gives s = e + 64.\n6. Substitute e = 1 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 2132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 3; f = j + 18; q = f + 5; z = t + 7; j = r + 11; m = q + 19; v = e + 2; c = z + 15; e = 1; a = i + 6; t = v + 5; i = c + 11; r = e + 8. If e = 1, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 19", "c": "r + 15", "t": "c + 13", "d": "t + 1", "i": "d + 8", "s": "i + 8", "o": "g + 3", "j": "o + 4", "p": "j + 19", "y": "p + 3", "q": "y + 5", "h": "q + 9", "g": 10}, "premises": {"g": 10}, "target": "s"}, "answer": {"steps": [["i", "d + 8", "d + 16"], ["d", "t + 1", "t + 17"], ["t", "c + 13", "c + 30"], ["c", "r + 15", "r + 45"], ["r", "g + 19", "g + 64"], ["g", 10, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"g": 10}, "is_reverse": true}}
| 2,133
| 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 = c + 13; d = t + 1; c = r + 15; i = d + 8; h = q + 9; g = 10; j = o + 4; p = j + 19; s = i + 8; y = p + 3; o = g + 3; q = y + 5; r = g + 19. If g = 10, 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 i = d + 8 to s, which gives s = d + 16.\n2. Substitute d = t + 1 to s, which gives s = t + 17.\n3. Substitute t = c + 13 to s, which gives s = c + 30.\n4. Substitute c = r + 15 to s, which gives s = r + 45.\n5. Substitute r = g + 19 to s, which gives s = g + 64.\n6. Substitute g = 10 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 2133,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 13; d = t + 1; c = r + 15; i = d + 8; h = q + 9; g = 10; j = o + 4; p = j + 19; s = i + 8; y = p + 3; o = g + 3; q = y + 5; r = g + 19. If g = 10, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 15", "o": "l + 5", "g": "o + 9", "z": "g + 14", "x": "z + 14", "w": "x + 2", "k": "i + 19", "a": "k + 1", "h": "a + 12", "y": "h + 14", "u": "y + 8", "r": "u + 13", "i": 19}, "premises": {"i": 19}, "target": "w"}, "answer": {"steps": [["x", "z + 14", "z + 16"], ["z", "g + 14", "g + 30"], ["g", "o + 9", "o + 39"], ["o", "l + 5", "l + 44"], ["l", "i + 15", "i + 59"], ["i", 19, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"i": 19}, "is_reverse": true}}
| 2,134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = a + 12; r = u + 13; x = z + 14; g = o + 9; u = y + 8; l = i + 15; k = i + 19; i = 19; w = x + 2; a = k + 1; z = g + 14; o = l + 5; y = h + 14. If i = 19, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 14 to w, which gives w = z + 16.\n2. Substitute z = g + 14 to w, which gives w = g + 30.\n3. Substitute g = o + 9 to w, which gives w = o + 39.\n4. Substitute o = l + 5 to w, which gives w = l + 44.\n5. Substitute l = i + 15 to w, which gives w = i + 59.\n6. Substitute i = 19 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 2134,
"question": "Consider a system of variables where each variable is defined as follows: h = a + 12; r = u + 13; x = z + 14; g = o + 9; u = y + 8; l = i + 15; k = i + 19; i = 19; w = x + 2; a = k + 1; z = g + 14; o = l + 5; y = h + 14. If i = 19, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "u + 11", "l": "b + 10", "v": "l + 8", "a": "v + 19", "n": "a + 17", "o": "n + 10", "x": "u + 10", "k": "x + 9", "h": "k + 3", "t": "h + 20", "c": "t + 15", "y": "c + 17", "u": 1}, "premises": {"u": 1}, "target": "o"}, "answer": {"steps": [["n", "a + 17", "a + 27"], ["a", "v + 19", "v + 46"], ["v", "l + 8", "l + 54"], ["l", "b + 10", "b + 64"], ["b", "u + 11", "u + 75"], ["u", 1, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"u": 1}, "is_reverse": true}}
| 2,135
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 17; a = v + 19; u = 1; y = c + 17; l = b + 10; x = u + 10; k = x + 9; o = n + 10; h = k + 3; v = l + 8; c = t + 15; b = u + 11; t = h + 20. Given that u = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 17 to o, which gives o = a + 27.\n2. Substitute a = v + 19 to o, which gives o = v + 46.\n3. Substitute v = l + 8 to o, which gives o = l + 54.\n4. Substitute l = b + 10 to o, which gives o = b + 64.\n5. Substitute b = u + 11 to o, which gives o = u + 75.\n6. Substitute u = 1 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 2135,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 17; a = v + 19; u = 1; y = c + 17; l = b + 10; x = u + 10; k = x + 9; o = n + 10; h = k + 3; v = l + 8; c = t + 15; b = u + 11; t = h + 20. Given that u = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 16", "c": "k + 2", "v": "c + 1", "g": "v + 4", "w": "g + 14", "f": "w + 15", "r": "z + 6", "l": "r + 18", "s": "l + 8", "d": "s + 10", "j": "d + 14", "e": "j + 7", "z": 2}, "premises": {"z": 2}, "target": "f"}, "answer": {"steps": [["w", "g + 14", "g + 29"], ["g", "v + 4", "v + 33"], ["v", "c + 1", "c + 34"], ["c", "k + 2", "k + 36"], ["k", "z + 16", "z + 52"], ["z", 2, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"z": 2}, "is_reverse": true}}
| 2,136
| 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 + 2; f = w + 15; j = d + 14; w = g + 14; e = j + 7; d = s + 10; z = 2; l = r + 18; r = z + 6; s = l + 8; g = v + 4; k = z + 16; v = c + 1. If z = 2, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 14 to f, which gives f = g + 29.\n2. Substitute g = v + 4 to f, which gives f = v + 33.\n3. Substitute v = c + 1 to f, which gives f = c + 34.\n4. Substitute c = k + 2 to f, which gives f = k + 36.\n5. Substitute k = z + 16 to f, which gives f = z + 52.\n6. Substitute z = 2 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 2136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 2; f = w + 15; j = d + 14; w = g + 14; e = j + 7; d = s + 10; z = 2; l = r + 18; r = z + 6; s = l + 8; g = v + 4; k = z + 16; v = c + 1. If z = 2, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 17", "x": "l + 9", "s": "x + 10", "n": "s + 14", "o": "n + 18", "f": "o + 17", "b": "g + 11", "y": "b + 12", "i": "y + 18", "p": "i + 19", "r": "p + 8", "v": "r + 9", "g": 1}, "premises": {"g": 1}, "target": "f"}, "answer": {"steps": [["o", "n + 18", "n + 35"], ["n", "s + 14", "s + 49"], ["s", "x + 10", "x + 59"], ["x", "l + 9", "l + 68"], ["l", "g + 17", "g + 85"], ["g", 1, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"g": 1}, "is_reverse": true}}
| 2,137
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 1; s = x + 10; o = n + 18; r = p + 8; n = s + 14; v = r + 9; y = b + 12; x = l + 9; p = i + 19; f = o + 17; i = y + 18; b = g + 11; l = g + 17. Given that g = 1, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 18 to f, which gives f = n + 35.\n2. Substitute n = s + 14 to f, which gives f = s + 49.\n3. Substitute s = x + 10 to f, which gives f = x + 59.\n4. Substitute x = l + 9 to f, which gives f = l + 68.\n5. Substitute l = g + 17 to f, which gives f = g + 85.\n6. Substitute g = 1 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 2137,
"question": "Suppose a collection of variables is related by the following definitions: g = 1; s = x + 10; o = n + 18; r = p + 8; n = s + 14; v = r + 9; y = b + 12; x = l + 9; p = i + 19; f = o + 17; i = y + 18; b = g + 11; l = g + 17. Given that g = 1, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 20", "m": "y + 14", "j": "m + 6", "b": "j + 11", "s": "b + 16", "p": "s + 19", "e": "q + 5", "h": "e + 9", "l": "h + 7", "c": "l + 19", "v": "c + 9", "n": "v + 19", "q": 2}, "premises": {"q": 2}, "target": "p"}, "answer": {"steps": [["s", "b + 16", "b + 35"], ["b", "j + 11", "j + 46"], ["j", "m + 6", "m + 52"], ["m", "y + 14", "y + 66"], ["y", "q + 20", "q + 86"], ["q", 2, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"q": 2}, "is_reverse": true}}
| 2,138
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 19; l = h + 7; s = b + 16; q = 2; j = m + 6; h = e + 9; v = c + 9; n = v + 19; b = j + 11; y = q + 20; e = q + 5; m = y + 14; c = l + 19. Given that q = 2, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 16 to p, which gives p = b + 35.\n2. Substitute b = j + 11 to p, which gives p = j + 46.\n3. Substitute j = m + 6 to p, which gives p = m + 52.\n4. Substitute m = y + 14 to p, which gives p = y + 66.\n5. Substitute y = q + 20 to p, which gives p = q + 86.\n6. Substitute q = 2 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 2138,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 19; l = h + 7; s = b + 16; q = 2; j = m + 6; h = e + 9; v = c + 9; n = v + 19; b = j + 11; y = q + 20; e = q + 5; m = y + 14; c = l + 19. Given that q = 2, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 10", "t": "a + 4", "x": "t + 16", "y": "x + 18", "i": "y + 4", "r": "i + 13", "g": "f + 15", "m": "g + 9", "p": "m + 12", "w": "p + 18", "z": "w + 20", "u": "z + 17", "f": 18}, "premises": {"f": 18}, "target": "r"}, "answer": {"steps": [["i", "y + 4", "y + 17"], ["y", "x + 18", "x + 35"], ["x", "t + 16", "t + 51"], ["t", "a + 4", "a + 55"], ["a", "f + 10", "f + 65"], ["f", 18, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"f": 18}, "is_reverse": true}}
| 2,139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = z + 17; r = i + 13; m = g + 9; z = w + 20; i = y + 4; x = t + 16; w = p + 18; y = x + 18; t = a + 4; a = f + 10; p = m + 12; g = f + 15; f = 18. If f = 18, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 4 to r, which gives r = y + 17.\n2. Substitute y = x + 18 to r, which gives r = x + 35.\n3. Substitute x = t + 16 to r, which gives r = t + 51.\n4. Substitute t = a + 4 to r, which gives r = a + 55.\n5. Substitute a = f + 10 to r, which gives r = f + 65.\n6. Substitute f = 18 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 2139,
"question": "Consider a system of variables where each variable is defined as follows: u = z + 17; r = i + 13; m = g + 9; z = w + 20; i = y + 4; x = t + 16; w = p + 18; y = x + 18; t = a + 4; a = f + 10; p = m + 12; g = f + 15; f = 18. If f = 18, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 19", "n": "d + 20", "c": "n + 13", "v": "c + 12", "y": "v + 18", "q": "y + 4", "z": "f + 9", "t": "z + 14", "m": "t + 6", "i": "m + 2", "o": "i + 2", "b": "o + 17", "f": 9}, "premises": {"f": 9}, "target": "q"}, "answer": {"steps": [["y", "v + 18", "v + 22"], ["v", "c + 12", "c + 34"], ["c", "n + 13", "n + 47"], ["n", "d + 20", "d + 67"], ["d", "f + 19", "f + 86"], ["f", 9, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"f": 9}, "is_reverse": true}}
| 2,140
| 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 = t + 6; n = d + 20; f = 9; d = f + 19; y = v + 18; q = y + 4; o = i + 2; i = m + 2; z = f + 9; b = o + 17; c = n + 13; v = c + 12; t = z + 14. If f = 9, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 18 to q, which gives q = v + 22.\n2. Substitute v = c + 12 to q, which gives q = c + 34.\n3. Substitute c = n + 13 to q, which gives q = n + 47.\n4. Substitute n = d + 20 to q, which gives q = d + 67.\n5. Substitute d = f + 19 to q, which gives q = f + 86.\n6. Substitute f = 9 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 2140,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 6; n = d + 20; f = 9; d = f + 19; y = v + 18; q = y + 4; o = i + 2; i = m + 2; z = f + 9; b = o + 17; c = n + 13; v = c + 12; t = z + 14. If f = 9, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 16", "b": "k + 8", "d": "b + 4", "j": "d + 18", "x": "j + 7", "f": "x + 14", "a": "v + 7", "h": "a + 3", "z": "h + 5", "l": "z + 18", "i": "l + 3", "u": "i + 2", "v": 10}, "premises": {"v": 10}, "target": "f"}, "answer": {"steps": [["x", "j + 7", "j + 21"], ["j", "d + 18", "d + 39"], ["d", "b + 4", "b + 43"], ["b", "k + 8", "k + 51"], ["k", "v + 16", "v + 67"], ["v", 10, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"v": 10}, "is_reverse": true}}
| 2,141
| 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 = v + 7; u = i + 2; i = l + 3; l = z + 18; h = a + 3; v = 10; x = j + 7; j = d + 18; k = v + 16; f = x + 14; z = h + 5; b = k + 8; d = b + 4. If v = 10, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 7 to f, which gives f = j + 21.\n2. Substitute j = d + 18 to f, which gives f = d + 39.\n3. Substitute d = b + 4 to f, which gives f = b + 43.\n4. Substitute b = k + 8 to f, which gives f = k + 51.\n5. Substitute k = v + 16 to f, which gives f = v + 67.\n6. Substitute v = 10 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 2141,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 7; u = i + 2; i = l + 3; l = z + 18; h = a + 3; v = 10; x = j + 7; j = d + 18; k = v + 16; f = x + 14; z = h + 5; b = k + 8; d = b + 4. If v = 10, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 9", "b": "o + 1", "w": "b + 16", "s": "w + 10", "r": "s + 7", "l": "r + 20", "m": "g + 12", "f": "m + 1", "p": "f + 13", "q": "p + 20", "d": "q + 17", "h": "d + 20", "g": 13}, "premises": {"g": 13}, "target": "l"}, "answer": {"steps": [["r", "s + 7", "s + 27"], ["s", "w + 10", "w + 37"], ["w", "b + 16", "b + 53"], ["b", "o + 1", "o + 54"], ["o", "g + 9", "g + 63"], ["g", 13, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"g": 13}, "is_reverse": true}}
| 2,142
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 20; b = o + 1; o = g + 9; g = 13; r = s + 7; h = d + 20; w = b + 16; m = g + 12; f = m + 1; d = q + 17; s = w + 10; q = p + 20; p = f + 13. Given that g = 13, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 7 to l, which gives l = s + 27.\n2. Substitute s = w + 10 to l, which gives l = w + 37.\n3. Substitute w = b + 16 to l, which gives l = b + 53.\n4. Substitute b = o + 1 to l, which gives l = o + 54.\n5. Substitute o = g + 9 to l, which gives l = g + 63.\n6. Substitute g = 13 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 2142,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 20; b = o + 1; o = g + 9; g = 13; r = s + 7; h = d + 20; w = b + 16; m = g + 12; f = m + 1; d = q + 17; s = w + 10; q = p + 20; p = f + 13. Given that g = 13, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 14", "l": "r + 9", "n": "l + 14", "y": "n + 14", "t": "y + 5", "e": "t + 19", "i": "k + 14", "g": "i + 18", "d": "g + 20", "j": "d + 8", "u": "j + 15", "q": "u + 15", "k": 4}, "premises": {"k": 4}, "target": "e"}, "answer": {"steps": [["t", "y + 5", "y + 24"], ["y", "n + 14", "n + 38"], ["n", "l + 14", "l + 52"], ["l", "r + 9", "r + 61"], ["r", "k + 14", "k + 75"], ["k", 4, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"k": 4}, "is_reverse": true}}
| 2,143
| 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 + 14; y = n + 14; k = 4; l = r + 9; g = i + 18; q = u + 15; r = k + 14; e = t + 19; t = y + 5; d = g + 20; u = j + 15; j = d + 8; n = l + 14. If k = 4, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 5 to e, which gives e = y + 24.\n2. Substitute y = n + 14 to e, which gives e = n + 38.\n3. Substitute n = l + 14 to e, which gives e = l + 52.\n4. Substitute l = r + 9 to e, which gives e = r + 61.\n5. Substitute r = k + 14 to e, which gives e = k + 75.\n6. Substitute k = 4 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 2143,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 14; y = n + 14; k = 4; l = r + 9; g = i + 18; q = u + 15; r = k + 14; e = t + 19; t = y + 5; d = g + 20; u = j + 15; j = d + 8; n = l + 14. If k = 4, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 2", "c": "q + 6", "h": "c + 7", "w": "h + 8", "e": "w + 19", "f": "e + 10", "z": "l + 15", "s": "z + 20", "a": "s + 6", "d": "a + 4", "m": "d + 9", "b": "m + 2", "l": 10}, "premises": {"l": 10}, "target": "f"}, "answer": {"steps": [["e", "w + 19", "w + 29"], ["w", "h + 8", "h + 37"], ["h", "c + 7", "c + 44"], ["c", "q + 6", "q + 50"], ["q", "l + 2", "l + 52"], ["l", 10, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"l": 10}, "is_reverse": true}}
| 2,144
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 9; q = l + 2; e = w + 19; a = s + 6; d = a + 4; f = e + 10; s = z + 20; l = 10; c = q + 6; z = l + 15; h = c + 7; b = m + 2; w = h + 8. Given that l = 10, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 19 to f, which gives f = w + 29.\n2. Substitute w = h + 8 to f, which gives f = h + 37.\n3. Substitute h = c + 7 to f, which gives f = c + 44.\n4. Substitute c = q + 6 to f, which gives f = q + 50.\n5. Substitute q = l + 2 to f, which gives f = l + 52.\n6. Substitute l = 10 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 2144,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 9; q = l + 2; e = w + 19; a = s + 6; d = a + 4; f = e + 10; s = z + 20; l = 10; c = q + 6; z = l + 15; h = c + 7; b = m + 2; w = h + 8. Given that l = 10, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 17", "r": "n + 3", "c": "r + 19", "p": "c + 9", "g": "p + 3", "t": "g + 14", "q": "k + 16", "e": "q + 5", "v": "e + 19", "u": "v + 13", "i": "u + 20", "a": "i + 19", "k": 1}, "premises": {"k": 1}, "target": "t"}, "answer": {"steps": [["g", "p + 3", "p + 17"], ["p", "c + 9", "c + 26"], ["c", "r + 19", "r + 45"], ["r", "n + 3", "n + 48"], ["n", "k + 17", "k + 65"], ["k", 1, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"k": 1}, "is_reverse": true}}
| 2,145
| 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 = r + 19; p = c + 9; v = e + 19; a = i + 19; i = u + 20; n = k + 17; e = q + 5; t = g + 14; q = k + 16; r = n + 3; k = 1; g = p + 3; u = v + 13. If k = 1, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 3 to t, which gives t = p + 17.\n2. Substitute p = c + 9 to t, which gives t = c + 26.\n3. Substitute c = r + 19 to t, which gives t = r + 45.\n4. Substitute r = n + 3 to t, which gives t = n + 48.\n5. Substitute n = k + 17 to t, which gives t = k + 65.\n6. Substitute k = 1 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 2145,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 19; p = c + 9; v = e + 19; a = i + 19; i = u + 20; n = k + 17; e = q + 5; t = g + 14; q = k + 16; r = n + 3; k = 1; g = p + 3; u = v + 13. If k = 1, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 1", "k": "s + 12", "g": "k + 5", "t": "g + 4", "l": "t + 16", "r": "l + 19", "v": "w + 17", "a": "v + 17", "p": "a + 18", "f": "p + 17", "d": "f + 7", "c": "d + 3", "w": 6}, "premises": {"w": 6}, "target": "r"}, "answer": {"steps": [["l", "t + 16", "t + 35"], ["t", "g + 4", "g + 39"], ["g", "k + 5", "k + 44"], ["k", "s + 12", "s + 56"], ["s", "w + 1", "w + 57"], ["w", 6, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"w": 6}, "is_reverse": true}}
| 2,146
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 7; r = l + 19; g = k + 5; v = w + 17; f = p + 17; c = d + 3; w = 6; a = v + 17; k = s + 12; s = w + 1; l = t + 16; p = a + 18; t = g + 4. If w = 6, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 16 to r, which gives r = t + 35.\n2. Substitute t = g + 4 to r, which gives r = g + 39.\n3. Substitute g = k + 5 to r, which gives r = k + 44.\n4. Substitute k = s + 12 to r, which gives r = s + 56.\n5. Substitute s = w + 1 to r, which gives r = w + 57.\n6. Substitute w = 6 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 2146,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 7; r = l + 19; g = k + 5; v = w + 17; f = p + 17; c = d + 3; w = 6; a = v + 17; k = s + 12; s = w + 1; l = t + 16; p = a + 18; t = g + 4. If w = 6, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 5", "m": "t + 11", "z": "m + 10", "p": "z + 9", "s": "p + 18", "i": "s + 8", "f": "y + 16", "j": "f + 9", "q": "j + 4", "o": "q + 14", "n": "o + 13", "h": "n + 2", "y": 1}, "premises": {"y": 1}, "target": "i"}, "answer": {"steps": [["s", "p + 18", "p + 26"], ["p", "z + 9", "z + 35"], ["z", "m + 10", "m + 45"], ["m", "t + 11", "t + 56"], ["t", "y + 5", "y + 61"], ["y", 1, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"y": 1}, "is_reverse": true}}
| 2,147
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 10; m = t + 11; o = q + 14; s = p + 18; h = n + 2; i = s + 8; n = o + 13; p = z + 9; t = y + 5; y = 1; f = y + 16; j = f + 9; q = j + 4. If y = 1, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 18 to i, which gives i = p + 26.\n2. Substitute p = z + 9 to i, which gives i = z + 35.\n3. Substitute z = m + 10 to i, which gives i = m + 45.\n4. Substitute m = t + 11 to i, which gives i = t + 56.\n5. Substitute t = y + 5 to i, which gives i = y + 61.\n6. Substitute y = 1 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 2147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 10; m = t + 11; o = q + 14; s = p + 18; h = n + 2; i = s + 8; n = o + 13; p = z + 9; t = y + 5; y = 1; f = y + 16; j = f + 9; q = j + 4. If y = 1, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 18", "f": "m + 6", "o": "f + 15", "p": "o + 14", "n": "p + 8", "t": "n + 12", "h": "x + 5", "c": "h + 9", "a": "c + 4", "r": "a + 16", "d": "r + 12", "s": "d + 10", "x": 19}, "premises": {"x": 19}, "target": "t"}, "answer": {"steps": [["n", "p + 8", "p + 20"], ["p", "o + 14", "o + 34"], ["o", "f + 15", "f + 49"], ["f", "m + 6", "m + 55"], ["m", "x + 18", "x + 73"], ["x", 19, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"x": 19}, "is_reverse": true}}
| 2,148
| 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 = r + 12; h = x + 5; n = p + 8; f = m + 6; c = h + 9; r = a + 16; s = d + 10; a = c + 4; o = f + 15; p = o + 14; m = x + 18; t = n + 12; x = 19. If x = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 8 to t, which gives t = p + 20.\n2. Substitute p = o + 14 to t, which gives t = o + 34.\n3. Substitute o = f + 15 to t, which gives t = f + 49.\n4. Substitute f = m + 6 to t, which gives t = m + 55.\n5. Substitute m = x + 18 to t, which gives t = x + 73.\n6. Substitute x = 19 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 2148,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = r + 12; h = x + 5; n = p + 8; f = m + 6; c = h + 9; r = a + 16; s = d + 10; a = c + 4; o = f + 15; p = o + 14; m = x + 18; t = n + 12; x = 19. If x = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 20", "x": "b + 19", "v": "x + 6", "a": "v + 13", "m": "a + 20", "n": "m + 12", "d": "g + 14", "t": "d + 15", "o": "t + 13", "k": "o + 8", "q": "k + 18", "e": "q + 16", "g": 4}, "premises": {"g": 4}, "target": "n"}, "answer": {"steps": [["m", "a + 20", "a + 32"], ["a", "v + 13", "v + 45"], ["v", "x + 6", "x + 51"], ["x", "b + 19", "b + 70"], ["b", "g + 20", "g + 90"], ["g", 4, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"g": 4}, "is_reverse": true}}
| 2,149
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = v + 13; v = x + 6; d = g + 14; g = 4; q = k + 18; e = q + 16; b = g + 20; m = a + 20; t = d + 15; k = o + 8; o = t + 13; n = m + 12; x = b + 19. If g = 4, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 20 to n, which gives n = a + 32.\n2. Substitute a = v + 13 to n, which gives n = v + 45.\n3. Substitute v = x + 6 to n, which gives n = x + 51.\n4. Substitute x = b + 19 to n, which gives n = b + 70.\n5. Substitute b = g + 20 to n, which gives n = g + 90.\n6. Substitute g = 4 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 2149,
"question": "Consider a system of variables where each variable is defined as follows: a = v + 13; v = x + 6; d = g + 14; g = 4; q = k + 18; e = q + 16; b = g + 20; m = a + 20; t = d + 15; k = o + 8; o = t + 13; n = m + 12; x = b + 19. If g = 4, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 12", "l": "g + 13", "t": "l + 7", "o": "t + 6", "j": "o + 5", "y": "j + 3", "a": "u + 11", "x": "a + 6", "p": "x + 10", "r": "p + 7", "c": "r + 3", "i": "c + 18", "u": 14}, "premises": {"u": 14}, "target": "y"}, "answer": {"steps": [["j", "o + 5", "o + 8"], ["o", "t + 6", "t + 14"], ["t", "l + 7", "l + 21"], ["l", "g + 13", "g + 34"], ["g", "u + 12", "u + 46"], ["u", 14, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"u": 14}, "is_reverse": true}}
| 2,150
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = 14; a = u + 11; c = r + 3; x = a + 6; l = g + 13; j = o + 5; p = x + 10; g = u + 12; r = p + 7; o = t + 6; t = l + 7; y = j + 3; i = c + 18. If u = 14, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 5 to y, which gives y = o + 8.\n2. Substitute o = t + 6 to y, which gives y = t + 14.\n3. Substitute t = l + 7 to y, which gives y = l + 21.\n4. Substitute l = g + 13 to y, which gives y = g + 34.\n5. Substitute g = u + 12 to y, which gives y = u + 46.\n6. Substitute u = 14 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 2150,
"question": "Consider a system of variables where each variable is defined as follows: u = 14; a = u + 11; c = r + 3; x = a + 6; l = g + 13; j = o + 5; p = x + 10; g = u + 12; r = p + 7; o = t + 6; t = l + 7; y = j + 3; i = c + 18. If u = 14, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 10", "m": "q + 10", "l": "m + 14", "t": "l + 19", "b": "t + 9", "u": "b + 9", "j": "d + 11", "o": "j + 6", "n": "o + 19", "z": "n + 10", "w": "z + 11", "e": "w + 19", "d": 19}, "premises": {"d": 19}, "target": "u"}, "answer": {"steps": [["b", "t + 9", "t + 18"], ["t", "l + 19", "l + 37"], ["l", "m + 14", "m + 51"], ["m", "q + 10", "q + 61"], ["q", "d + 10", "d + 71"], ["d", 19, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"d": 19}, "is_reverse": true}}
| 2,151
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 10; z = n + 10; l = m + 14; n = o + 19; j = d + 11; t = l + 19; e = w + 19; b = t + 9; o = j + 6; d = 19; w = z + 11; u = b + 9; q = d + 10. If d = 19, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 9 to u, which gives u = t + 18.\n2. Substitute t = l + 19 to u, which gives u = l + 37.\n3. Substitute l = m + 14 to u, which gives u = m + 51.\n4. Substitute m = q + 10 to u, which gives u = q + 61.\n5. Substitute q = d + 10 to u, which gives u = d + 71.\n6. Substitute d = 19 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 2151,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 10; z = n + 10; l = m + 14; n = o + 19; j = d + 11; t = l + 19; e = w + 19; b = t + 9; o = j + 6; d = 19; w = z + 11; u = b + 9; q = d + 10. If d = 19, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 2", "s": "a + 18", "d": "s + 14", "w": "d + 1", "f": "w + 10", "n": "f + 9", "r": "l + 16", "q": "r + 19", "o": "q + 7", "t": "o + 13", "m": "t + 3", "e": "m + 13", "l": 7}, "premises": {"l": 7}, "target": "n"}, "answer": {"steps": [["f", "w + 10", "w + 19"], ["w", "d + 1", "d + 20"], ["d", "s + 14", "s + 34"], ["s", "a + 18", "a + 52"], ["a", "l + 2", "l + 54"], ["l", 7, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"l": 7}, "is_reverse": true}}
| 2,152
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 7; r = l + 16; w = d + 1; q = r + 19; a = l + 2; s = a + 18; e = m + 13; d = s + 14; t = o + 13; n = f + 9; m = t + 3; o = q + 7; f = w + 10. If l = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 10 to n, which gives n = w + 19.\n2. Substitute w = d + 1 to n, which gives n = d + 20.\n3. Substitute d = s + 14 to n, which gives n = s + 34.\n4. Substitute s = a + 18 to n, which gives n = a + 52.\n5. Substitute a = l + 2 to n, which gives n = l + 54.\n6. Substitute l = 7 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 2152,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 7; r = l + 16; w = d + 1; q = r + 19; a = l + 2; s = a + 18; e = m + 13; d = s + 14; t = o + 13; n = f + 9; m = t + 3; o = q + 7; f = w + 10. If l = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 6", "h": "g + 7", "i": "h + 18", "o": "i + 9", "b": "o + 10", "z": "b + 12", "v": "w + 17", "m": "v + 12", "t": "m + 13", "y": "t + 3", "f": "y + 18", "k": "f + 20", "w": 13}, "premises": {"w": 13}, "target": "z"}, "answer": {"steps": [["b", "o + 10", "o + 22"], ["o", "i + 9", "i + 31"], ["i", "h + 18", "h + 49"], ["h", "g + 7", "g + 56"], ["g", "w + 6", "w + 62"], ["w", 13, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"w": 13}, "is_reverse": true}}
| 2,153
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 13; k = f + 20; v = w + 17; y = t + 3; b = o + 10; g = w + 6; m = v + 12; i = h + 18; o = i + 9; h = g + 7; w = 13; f = y + 18; z = b + 12. If w = 13, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 10 to z, which gives z = o + 22.\n2. Substitute o = i + 9 to z, which gives z = i + 31.\n3. Substitute i = h + 18 to z, which gives z = h + 49.\n4. Substitute h = g + 7 to z, which gives z = g + 56.\n5. Substitute g = w + 6 to z, which gives z = w + 62.\n6. Substitute w = 13 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 2153,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 13; k = f + 20; v = w + 17; y = t + 3; b = o + 10; g = w + 6; m = v + 12; i = h + 18; o = i + 9; h = g + 7; w = 13; f = y + 18; z = b + 12. If w = 13, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "d + 7", "s": "i + 10", "b": "s + 3", "z": "b + 12", "r": "z + 15", "q": "r + 20", "e": "d + 7", "t": "e + 5", "v": "t + 2", "p": "v + 1", "x": "p + 10", "k": "x + 8", "d": 15}, "premises": {"d": 15}, "target": "q"}, "answer": {"steps": [["r", "z + 15", "z + 35"], ["z", "b + 12", "b + 47"], ["b", "s + 3", "s + 50"], ["s", "i + 10", "i + 60"], ["i", "d + 7", "d + 67"], ["d", 15, "82"]], "target_var_name": "q", "target_value": 82, "value_dict": {"d": 15}, "is_reverse": true}}
| 2,154
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 5; p = v + 1; k = x + 8; d = 15; v = t + 2; x = p + 10; i = d + 7; z = b + 12; e = d + 7; b = s + 3; s = i + 10; r = z + 15; q = r + 20. If d = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 15 to q, which gives q = z + 35.\n2. Substitute z = b + 12 to q, which gives q = b + 47.\n3. Substitute b = s + 3 to q, which gives q = s + 50.\n4. Substitute s = i + 10 to q, which gives q = i + 60.\n5. Substitute i = d + 7 to q, which gives q = d + 67.\n6. Substitute d = 15 to q, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 2154,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 5; p = v + 1; k = x + 8; d = 15; v = t + 2; x = p + 10; i = d + 7; z = b + 12; e = d + 7; b = s + 3; s = i + 10; r = z + 15; q = r + 20. If d = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 20", "l": "u + 10", "e": "l + 3", "w": "e + 14", "a": "w + 14", "o": "a + 2", "h": "t + 7", "b": "h + 7", "z": "b + 18", "c": "z + 2", "g": "c + 7", "f": "g + 19", "t": 19}, "premises": {"t": 19}, "target": "o"}, "answer": {"steps": [["a", "w + 14", "w + 16"], ["w", "e + 14", "e + 30"], ["e", "l + 3", "l + 33"], ["l", "u + 10", "u + 43"], ["u", "t + 20", "t + 63"], ["t", 19, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"t": 19}, "is_reverse": true}}
| 2,155
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 7; u = t + 20; e = l + 3; a = w + 14; f = g + 19; l = u + 10; t = 19; c = z + 2; z = b + 18; o = a + 2; g = c + 7; w = e + 14; b = h + 7. If t = 19, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 14 to o, which gives o = w + 16.\n2. Substitute w = e + 14 to o, which gives o = e + 30.\n3. Substitute e = l + 3 to o, which gives o = l + 33.\n4. Substitute l = u + 10 to o, which gives o = u + 43.\n5. Substitute u = t + 20 to o, which gives o = t + 63.\n6. Substitute t = 19 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 2155,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 7; u = t + 20; e = l + 3; a = w + 14; f = g + 19; l = u + 10; t = 19; c = z + 2; z = b + 18; o = a + 2; g = c + 7; w = e + 14; b = h + 7. If t = 19, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 16", "d": "l + 17", "c": "d + 9", "b": "c + 12", "n": "b + 9", "m": "n + 20", "x": "e + 7", "k": "x + 3", "o": "k + 8", "q": "o + 18", "w": "q + 14", "f": "w + 16", "e": 10}, "premises": {"e": 10}, "target": "m"}, "answer": {"steps": [["n", "b + 9", "b + 29"], ["b", "c + 12", "c + 41"], ["c", "d + 9", "d + 50"], ["d", "l + 17", "l + 67"], ["l", "e + 16", "e + 83"], ["e", 10, "93"]], "target_var_name": "m", "target_value": 93, "value_dict": {"e": 10}, "is_reverse": true}}
| 2,156
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 16; f = w + 16; q = o + 18; c = d + 9; x = e + 7; w = q + 14; d = l + 17; m = n + 20; k = x + 3; e = 10; n = b + 9; o = k + 8; b = c + 12. Given that e = 10, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 9 to m, which gives m = b + 29.\n2. Substitute b = c + 12 to m, which gives m = c + 41.\n3. Substitute c = d + 9 to m, which gives m = d + 50.\n4. Substitute d = l + 17 to m, which gives m = l + 67.\n5. Substitute l = e + 16 to m, which gives m = e + 83.\n6. Substitute e = 10 to m, which gives m = 93.\n\nThus, the final answer is m = \\boxed{93}.",
"index": 2156,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 16; f = w + 16; q = o + 18; c = d + 9; x = e + 7; w = q + 14; d = l + 17; m = n + 20; k = x + 3; e = 10; n = b + 9; o = k + 8; b = c + 12. Given that e = 10, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 17", "e": "i + 20", "n": "e + 13", "t": "n + 13", "c": "t + 1", "q": "c + 13", "v": "x + 5", "j": "v + 6", "r": "j + 12", "h": "r + 18", "b": "h + 4", "p": "b + 18", "x": 19}, "premises": {"x": 19}, "target": "q"}, "answer": {"steps": [["c", "t + 1", "t + 14"], ["t", "n + 13", "n + 27"], ["n", "e + 13", "e + 40"], ["e", "i + 20", "i + 60"], ["i", "x + 17", "x + 77"], ["x", 19, "96"]], "target_var_name": "q", "target_value": 96, "value_dict": {"x": 19}, "is_reverse": true}}
| 2,157
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 6; t = n + 13; e = i + 20; n = e + 13; b = h + 4; r = j + 12; v = x + 5; c = t + 1; p = b + 18; q = c + 13; h = r + 18; x = 19; i = x + 17. Given that x = 19, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 1 to q, which gives q = t + 14.\n2. Substitute t = n + 13 to q, which gives q = n + 27.\n3. Substitute n = e + 13 to q, which gives q = e + 40.\n4. Substitute e = i + 20 to q, which gives q = i + 60.\n5. Substitute i = x + 17 to q, which gives q = x + 77.\n6. Substitute x = 19 to q, which gives q = 96.\n\nThus, the final answer is q = \\boxed{96}.",
"index": 2157,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 6; t = n + 13; e = i + 20; n = e + 13; b = h + 4; r = j + 12; v = x + 5; c = t + 1; p = b + 18; q = c + 13; h = r + 18; x = 19; i = x + 17. Given that x = 19, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 19", "j": "y + 19", "g": "j + 20", "f": "g + 6", "k": "f + 14", "i": "k + 17", "u": "h + 19", "r": "u + 15", "t": "r + 13", "e": "t + 17", "o": "e + 4", "l": "o + 4", "h": 12}, "premises": {"h": 12}, "target": "i"}, "answer": {"steps": [["k", "f + 14", "f + 31"], ["f", "g + 6", "g + 37"], ["g", "j + 20", "j + 57"], ["j", "y + 19", "y + 76"], ["y", "h + 19", "h + 95"], ["h", 12, "107"]], "target_var_name": "i", "target_value": 107, "value_dict": {"h": 12}, "is_reverse": true}}
| 2,158
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 15; y = h + 19; k = f + 14; u = h + 19; h = 12; g = j + 20; l = o + 4; o = e + 4; i = k + 17; j = y + 19; e = t + 17; t = r + 13; f = g + 6. If h = 12, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 14 to i, which gives i = f + 31.\n2. Substitute f = g + 6 to i, which gives i = g + 37.\n3. Substitute g = j + 20 to i, which gives i = j + 57.\n4. Substitute j = y + 19 to i, which gives i = y + 76.\n5. Substitute y = h + 19 to i, which gives i = h + 95.\n6. Substitute h = 12 to i, which gives i = 107.\n\nThus, the final answer is i = \\boxed{107}.",
"index": 2158,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 15; y = h + 19; k = f + 14; u = h + 19; h = 12; g = j + 20; l = o + 4; o = e + 4; i = k + 17; j = y + 19; e = t + 17; t = r + 13; f = g + 6. If h = 12, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 12", "t": "p + 20", "n": "t + 18", "d": "n + 18", "o": "d + 3", "i": "o + 15", "f": "h + 20", "x": "f + 3", "c": "x + 11", "b": "c + 3", "e": "b + 17", "g": "e + 11", "h": 10}, "premises": {"h": 10}, "target": "i"}, "answer": {"steps": [["o", "d + 3", "d + 18"], ["d", "n + 18", "n + 36"], ["n", "t + 18", "t + 54"], ["t", "p + 20", "p + 74"], ["p", "h + 12", "h + 86"], ["h", 10, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"h": 10}, "is_reverse": true}}
| 2,159
| 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 = o + 15; p = h + 12; d = n + 18; x = f + 3; b = c + 3; e = b + 17; t = p + 20; c = x + 11; o = d + 3; g = e + 11; n = t + 18; h = 10; f = h + 20. If h = 10, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 3 to i, which gives i = d + 18.\n2. Substitute d = n + 18 to i, which gives i = n + 36.\n3. Substitute n = t + 18 to i, which gives i = t + 54.\n4. Substitute t = p + 20 to i, which gives i = p + 74.\n5. Substitute p = h + 12 to i, which gives i = h + 86.\n6. Substitute h = 10 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 2159,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 15; p = h + 12; d = n + 18; x = f + 3; b = c + 3; e = b + 17; t = p + 20; c = x + 11; o = d + 3; g = e + 11; n = t + 18; h = 10; f = h + 20. If h = 10, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 9", "l": "m + 3", "c": "l + 7", "k": "c + 7", "d": "k + 3", "e": "d + 14", "n": "j + 4", "q": "n + 12", "w": "q + 4", "v": "w + 16", "y": "v + 17", "x": "y + 14", "j": 8}, "premises": {"j": 8}, "target": "e"}, "answer": {"steps": [["d", "k + 3", "k + 17"], ["k", "c + 7", "c + 24"], ["c", "l + 7", "l + 31"], ["l", "m + 3", "m + 34"], ["m", "j + 9", "j + 43"], ["j", 8, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"j": 8}, "is_reverse": true}}
| 2,160
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 17; c = l + 7; e = d + 14; w = q + 4; v = w + 16; m = j + 9; l = m + 3; x = y + 14; q = n + 12; j = 8; n = j + 4; k = c + 7; d = k + 3. If j = 8, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 3 to e, which gives e = k + 17.\n2. Substitute k = c + 7 to e, which gives e = c + 24.\n3. Substitute c = l + 7 to e, which gives e = l + 31.\n4. Substitute l = m + 3 to e, which gives e = m + 34.\n5. Substitute m = j + 9 to e, which gives e = j + 43.\n6. Substitute j = 8 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 2160,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 17; c = l + 7; e = d + 14; w = q + 4; v = w + 16; m = j + 9; l = m + 3; x = y + 14; q = n + 12; j = 8; n = j + 4; k = c + 7; d = k + 3. If j = 8, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 12", "u": "s + 4", "h": "u + 10", "e": "h + 11", "o": "e + 5", "r": "o + 6", "t": "w + 12", "v": "t + 10", "f": "v + 2", "i": "f + 1", "y": "i + 12", "b": "y + 1", "w": 17}, "premises": {"w": 17}, "target": "r"}, "answer": {"steps": [["o", "e + 5", "e + 11"], ["e", "h + 11", "h + 22"], ["h", "u + 10", "u + 32"], ["u", "s + 4", "s + 36"], ["s", "w + 12", "w + 48"], ["w", 17, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"w": 17}, "is_reverse": true}}
| 2,161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 1; w = 17; f = v + 2; e = h + 11; v = t + 10; t = w + 12; y = i + 12; u = s + 4; o = e + 5; r = o + 6; b = y + 1; h = u + 10; s = w + 12. Given that w = 17, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 5 to r, which gives r = e + 11.\n2. Substitute e = h + 11 to r, which gives r = h + 22.\n3. Substitute h = u + 10 to r, which gives r = u + 32.\n4. Substitute u = s + 4 to r, which gives r = s + 36.\n5. Substitute s = w + 12 to r, which gives r = w + 48.\n6. Substitute w = 17 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 2161,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 1; w = 17; f = v + 2; e = h + 11; v = t + 10; t = w + 12; y = i + 12; u = s + 4; o = e + 5; r = o + 6; b = y + 1; h = u + 10; s = w + 12. Given that w = 17, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 8", "t": "n + 4", "w": "t + 8", "j": "w + 20", "y": "j + 14", "e": "y + 9", "s": "b + 2", "m": "s + 16", "v": "m + 19", "q": "v + 15", "i": "q + 4", "o": "i + 20", "b": 10}, "premises": {"b": 10}, "target": "e"}, "answer": {"steps": [["y", "j + 14", "j + 23"], ["j", "w + 20", "w + 43"], ["w", "t + 8", "t + 51"], ["t", "n + 4", "n + 55"], ["n", "b + 8", "b + 63"], ["b", 10, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"b": 10}, "is_reverse": true}}
| 2,162
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = b + 8; q = v + 15; s = b + 2; w = t + 8; j = w + 20; b = 10; e = y + 9; o = i + 20; t = n + 4; m = s + 16; v = m + 19; y = j + 14; i = q + 4. If b = 10, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 14 to e, which gives e = j + 23.\n2. Substitute j = w + 20 to e, which gives e = w + 43.\n3. Substitute w = t + 8 to e, which gives e = t + 51.\n4. Substitute t = n + 4 to e, which gives e = n + 55.\n5. Substitute n = b + 8 to e, which gives e = b + 63.\n6. Substitute b = 10 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 2162,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 8; q = v + 15; s = b + 2; w = t + 8; j = w + 20; b = 10; e = y + 9; o = i + 20; t = n + 4; m = s + 16; v = m + 19; y = j + 14; i = q + 4. If b = 10, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 8", "w": "v + 7", "n": "w + 17", "a": "n + 8", "m": "a + 12", "e": "m + 14", "q": "h + 2", "b": "q + 20", "i": "b + 20", "k": "i + 4", "s": "k + 6", "l": "s + 15", "h": 11}, "premises": {"h": 11}, "target": "e"}, "answer": {"steps": [["m", "a + 12", "a + 26"], ["a", "n + 8", "n + 34"], ["n", "w + 17", "w + 51"], ["w", "v + 7", "v + 58"], ["v", "h + 8", "h + 66"], ["h", 11, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"h": 11}, "is_reverse": true}}
| 2,163
| 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 = a + 12; s = k + 6; i = b + 20; a = n + 8; b = q + 20; k = i + 4; w = v + 7; l = s + 15; h = 11; q = h + 2; n = w + 17; e = m + 14; v = h + 8. If h = 11, 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 m = a + 12 to e, which gives e = a + 26.\n2. Substitute a = n + 8 to e, which gives e = n + 34.\n3. Substitute n = w + 17 to e, which gives e = w + 51.\n4. Substitute w = v + 7 to e, which gives e = v + 58.\n5. Substitute v = h + 8 to e, which gives e = h + 66.\n6. Substitute h = 11 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 2163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 12; s = k + 6; i = b + 20; a = n + 8; b = q + 20; k = i + 4; w = v + 7; l = s + 15; h = 11; q = h + 2; n = w + 17; e = m + 14; v = h + 8. If h = 11, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 6", "t": "s + 13", "p": "t + 6", "z": "p + 17", "y": "z + 15", "v": "y + 3", "e": "m + 9", "h": "e + 10", "g": "h + 20", "l": "g + 19", "r": "l + 6", "x": "r + 16", "m": 11}, "premises": {"m": 11}, "target": "v"}, "answer": {"steps": [["y", "z + 15", "z + 18"], ["z", "p + 17", "p + 35"], ["p", "t + 6", "t + 41"], ["t", "s + 13", "s + 54"], ["s", "m + 6", "m + 60"], ["m", 11, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"m": 11}, "is_reverse": true}}
| 2,164
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 6; m = 11; t = s + 13; x = r + 16; h = e + 10; p = t + 6; g = h + 20; v = y + 3; e = m + 9; s = m + 6; z = p + 17; l = g + 19; y = z + 15. If m = 11, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 15 to v, which gives v = z + 18.\n2. Substitute z = p + 17 to v, which gives v = p + 35.\n3. Substitute p = t + 6 to v, which gives v = t + 41.\n4. Substitute t = s + 13 to v, which gives v = s + 54.\n5. Substitute s = m + 6 to v, which gives v = m + 60.\n6. Substitute m = 11 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 2164,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 6; m = 11; t = s + 13; x = r + 16; h = e + 10; p = t + 6; g = h + 20; v = y + 3; e = m + 9; s = m + 6; z = p + 17; l = g + 19; y = z + 15. If m = 11, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 18", "j": "h + 7", "v": "j + 9", "x": "v + 17", "f": "x + 2", "d": "f + 8", "o": "g + 11", "w": "o + 11", "i": "w + 8", "r": "i + 6", "l": "r + 15", "c": "l + 9", "g": 1}, "premises": {"g": 1}, "target": "d"}, "answer": {"steps": [["f", "x + 2", "x + 10"], ["x", "v + 17", "v + 27"], ["v", "j + 9", "j + 36"], ["j", "h + 7", "h + 43"], ["h", "g + 18", "g + 61"], ["g", 1, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"g": 1}, "is_reverse": true}}
| 2,165
| 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 = f + 8; r = i + 6; w = o + 11; c = l + 9; h = g + 18; x = v + 17; v = j + 9; i = w + 8; j = h + 7; o = g + 11; f = x + 2; g = 1; l = r + 15. If g = 1, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 2 to d, which gives d = x + 10.\n2. Substitute x = v + 17 to d, which gives d = v + 27.\n3. Substitute v = j + 9 to d, which gives d = j + 36.\n4. Substitute j = h + 7 to d, which gives d = h + 43.\n5. Substitute h = g + 18 to d, which gives d = g + 61.\n6. Substitute g = 1 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 2165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 8; r = i + 6; w = o + 11; c = l + 9; h = g + 18; x = v + 17; v = j + 9; i = w + 8; j = h + 7; o = g + 11; f = x + 2; g = 1; l = r + 15. If g = 1, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 13", "s": "h + 17", "t": "s + 4", "w": "t + 2", "m": "w + 3", "a": "m + 10", "u": "x + 13", "j": "u + 4", "e": "j + 20", "l": "e + 19", "i": "l + 12", "z": "i + 4", "x": 9}, "premises": {"x": 9}, "target": "a"}, "answer": {"steps": [["m", "w + 3", "w + 13"], ["w", "t + 2", "t + 15"], ["t", "s + 4", "s + 19"], ["s", "h + 17", "h + 36"], ["h", "x + 13", "x + 49"], ["x", 9, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"x": 9}, "is_reverse": true}}
| 2,166
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 20; z = i + 4; t = s + 4; m = w + 3; w = t + 2; x = 9; i = l + 12; j = u + 4; l = e + 19; a = m + 10; u = x + 13; s = h + 17; h = x + 13. If x = 9, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 3 to a, which gives a = w + 13.\n2. Substitute w = t + 2 to a, which gives a = t + 15.\n3. Substitute t = s + 4 to a, which gives a = s + 19.\n4. Substitute s = h + 17 to a, which gives a = h + 36.\n5. Substitute h = x + 13 to a, which gives a = x + 49.\n6. Substitute x = 9 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 2166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 20; z = i + 4; t = s + 4; m = w + 3; w = t + 2; x = 9; i = l + 12; j = u + 4; l = e + 19; a = m + 10; u = x + 13; s = h + 17; h = x + 13. If x = 9, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 13", "y": "x + 16", "j": "y + 13", "o": "j + 3", "n": "o + 18", "u": "n + 5", "p": "k + 17", "l": "p + 2", "b": "l + 13", "g": "b + 20", "c": "g + 12", "d": "c + 6", "k": 13}, "premises": {"k": 13}, "target": "u"}, "answer": {"steps": [["n", "o + 18", "o + 23"], ["o", "j + 3", "j + 26"], ["j", "y + 13", "y + 39"], ["y", "x + 16", "x + 55"], ["x", "k + 13", "k + 68"], ["k", 13, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"k": 13}, "is_reverse": true}}
| 2,167
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 6; n = o + 18; u = n + 5; g = b + 20; o = j + 3; l = p + 2; x = k + 13; p = k + 17; k = 13; j = y + 13; y = x + 16; b = l + 13; c = g + 12. Given that k = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 18 to u, which gives u = o + 23.\n2. Substitute o = j + 3 to u, which gives u = j + 26.\n3. Substitute j = y + 13 to u, which gives u = y + 39.\n4. Substitute y = x + 16 to u, which gives u = x + 55.\n5. Substitute x = k + 13 to u, which gives u = k + 68.\n6. Substitute k = 13 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 2167,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 6; n = o + 18; u = n + 5; g = b + 20; o = j + 3; l = p + 2; x = k + 13; p = k + 17; k = 13; j = y + 13; y = x + 16; b = l + 13; c = g + 12. Given that k = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 5", "w": "f + 17", "d": "w + 8", "z": "d + 15", "h": "z + 11", "c": "h + 3", "t": "n + 10", "y": "t + 9", "a": "y + 9", "v": "a + 10", "r": "v + 7", "m": "r + 1", "n": 14}, "premises": {"n": 14}, "target": "c"}, "answer": {"steps": [["h", "z + 11", "z + 14"], ["z", "d + 15", "d + 29"], ["d", "w + 8", "w + 37"], ["w", "f + 17", "f + 54"], ["f", "n + 5", "n + 59"], ["n", 14, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"n": 14}, "is_reverse": true}}
| 2,168
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 1; n = 14; c = h + 3; d = w + 8; w = f + 17; v = a + 10; t = n + 10; y = t + 9; f = n + 5; r = v + 7; z = d + 15; h = z + 11; a = y + 9. Given that n = 14, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 11 to c, which gives c = z + 14.\n2. Substitute z = d + 15 to c, which gives c = d + 29.\n3. Substitute d = w + 8 to c, which gives c = w + 37.\n4. Substitute w = f + 17 to c, which gives c = f + 54.\n5. Substitute f = n + 5 to c, which gives c = n + 59.\n6. Substitute n = 14 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 2168,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 1; n = 14; c = h + 3; d = w + 8; w = f + 17; v = a + 10; t = n + 10; y = t + 9; f = n + 5; r = v + 7; z = d + 15; h = z + 11; a = y + 9. Given that n = 14, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 6", "p": "a + 8", "y": "p + 7", "o": "y + 13", "j": "o + 3", "q": "j + 7", "h": "g + 16", "m": "h + 1", "e": "m + 2", "l": "e + 18", "b": "l + 13", "d": "b + 14", "g": 11}, "premises": {"g": 11}, "target": "q"}, "answer": {"steps": [["j", "o + 3", "o + 10"], ["o", "y + 13", "y + 23"], ["y", "p + 7", "p + 30"], ["p", "a + 8", "a + 38"], ["a", "g + 6", "g + 44"], ["g", 11, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"g": 11}, "is_reverse": true}}
| 2,169
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 13; l = e + 18; j = o + 3; d = b + 14; y = p + 7; q = j + 7; m = h + 1; e = m + 2; g = 11; p = a + 8; h = g + 16; b = l + 13; a = g + 6. Given that g = 11, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 3 to q, which gives q = o + 10.\n2. Substitute o = y + 13 to q, which gives q = y + 23.\n3. Substitute y = p + 7 to q, which gives q = p + 30.\n4. Substitute p = a + 8 to q, which gives q = a + 38.\n5. Substitute a = g + 6 to q, which gives q = g + 44.\n6. Substitute g = 11 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 2169,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 13; l = e + 18; j = o + 3; d = b + 14; y = p + 7; q = j + 7; m = h + 1; e = m + 2; g = 11; p = a + 8; h = g + 16; b = l + 13; a = g + 6. Given that g = 11, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"p": "c + 11", "o": "p + 19", "e": "o + 3", "s": "e + 17", "h": "s + 5", "r": "h + 3", "x": "c + 4", "z": "x + 14", "d": "z + 16", "q": "d + 13", "u": "q + 7", "g": "u + 2", "c": 2}, "premises": {"c": 2}, "target": "r"}, "answer": {"steps": [["h", "s + 5", "s + 8"], ["s", "e + 17", "e + 25"], ["e", "o + 3", "o + 28"], ["o", "p + 19", "p + 47"], ["p", "c + 11", "c + 58"], ["c", 2, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"c": 2}, "is_reverse": true}}
| 2,170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 16; u = q + 7; z = x + 14; c = 2; e = o + 3; s = e + 17; p = c + 11; o = p + 19; g = u + 2; q = d + 13; x = c + 4; r = h + 3; h = s + 5. Given that c = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 5 to r, which gives r = s + 8.\n2. Substitute s = e + 17 to r, which gives r = e + 25.\n3. Substitute e = o + 3 to r, which gives r = o + 28.\n4. Substitute o = p + 19 to r, which gives r = p + 47.\n5. Substitute p = c + 11 to r, which gives r = c + 58.\n6. Substitute c = 2 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 2170,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 16; u = q + 7; z = x + 14; c = 2; e = o + 3; s = e + 17; p = c + 11; o = p + 19; g = u + 2; q = d + 13; x = c + 4; r = h + 3; h = s + 5. Given that c = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 9", "a": "t + 1", "o": "a + 15", "m": "o + 8", "q": "m + 1", "u": "q + 12", "r": "f + 5", "y": "r + 9", "i": "y + 5", "g": "i + 2", "c": "g + 9", "j": "c + 17", "f": 19}, "premises": {"f": 19}, "target": "u"}, "answer": {"steps": [["q", "m + 1", "m + 13"], ["m", "o + 8", "o + 21"], ["o", "a + 15", "a + 36"], ["a", "t + 1", "t + 37"], ["t", "f + 9", "f + 46"], ["f", 19, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"f": 19}, "is_reverse": true}}
| 2,171
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 17; t = f + 9; q = m + 1; i = y + 5; a = t + 1; o = a + 15; c = g + 9; m = o + 8; r = f + 5; y = r + 9; g = i + 2; u = q + 12; f = 19. If f = 19, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 1 to u, which gives u = m + 13.\n2. Substitute m = o + 8 to u, which gives u = o + 21.\n3. Substitute o = a + 15 to u, which gives u = a + 36.\n4. Substitute a = t + 1 to u, which gives u = t + 37.\n5. Substitute t = f + 9 to u, which gives u = f + 46.\n6. Substitute f = 19 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 2171,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 17; t = f + 9; q = m + 1; i = y + 5; a = t + 1; o = a + 15; c = g + 9; m = o + 8; r = f + 5; y = r + 9; g = i + 2; u = q + 12; f = 19. If f = 19, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 9", "l": "m + 10", "h": "l + 7", "j": "h + 6", "n": "j + 6", "t": "n + 1", "d": "f + 10", "v": "d + 12", "z": "v + 14", "e": "z + 15", "c": "e + 18", "g": "c + 3", "f": 11}, "premises": {"f": 11}, "target": "t"}, "answer": {"steps": [["n", "j + 6", "j + 7"], ["j", "h + 6", "h + 13"], ["h", "l + 7", "l + 20"], ["l", "m + 10", "m + 30"], ["m", "f + 9", "f + 39"], ["f", 11, "50"]], "target_var_name": "t", "target_value": 50, "value_dict": {"f": 11}, "is_reverse": true}}
| 2,172
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 12; j = h + 6; n = j + 6; c = e + 18; l = m + 10; m = f + 9; t = n + 1; f = 11; z = v + 14; h = l + 7; d = f + 10; g = c + 3; e = z + 15. If f = 11, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 6 to t, which gives t = j + 7.\n2. Substitute j = h + 6 to t, which gives t = h + 13.\n3. Substitute h = l + 7 to t, which gives t = l + 20.\n4. Substitute l = m + 10 to t, which gives t = m + 30.\n5. Substitute m = f + 9 to t, which gives t = f + 39.\n6. Substitute f = 11 to t, which gives t = 50.\n\nThus, the final answer is t = \\boxed{50}.",
"index": 2172,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 12; j = h + 6; n = j + 6; c = e + 18; l = m + 10; m = f + 9; t = n + 1; f = 11; z = v + 14; h = l + 7; d = f + 10; g = c + 3; e = z + 15. If f = 11, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"f": "y + 11", "o": "f + 13", "x": "o + 20", "p": "x + 1", "i": "p + 14", "k": "i + 4", "g": "y + 2", "t": "g + 4", "h": "t + 5", "v": "h + 13", "d": "v + 11", "u": "d + 7", "y": 12}, "premises": {"y": 12}, "target": "k"}, "answer": {"steps": [["i", "p + 14", "p + 18"], ["p", "x + 1", "x + 19"], ["x", "o + 20", "o + 39"], ["o", "f + 13", "f + 52"], ["f", "y + 11", "y + 63"], ["y", 12, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"y": 12}, "is_reverse": true}}
| 2,173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 11; v = h + 13; t = g + 4; p = x + 1; o = f + 13; f = y + 11; g = y + 2; i = p + 14; k = i + 4; h = t + 5; x = o + 20; u = d + 7; y = 12. Given that y = 12, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 14 to k, which gives k = p + 18.\n2. Substitute p = x + 1 to k, which gives k = x + 19.\n3. Substitute x = o + 20 to k, which gives k = o + 39.\n4. Substitute o = f + 13 to k, which gives k = f + 52.\n5. Substitute f = y + 11 to k, which gives k = y + 63.\n6. Substitute y = 12 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 2173,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 11; v = h + 13; t = g + 4; p = x + 1; o = f + 13; f = y + 11; g = y + 2; i = p + 14; k = i + 4; h = t + 5; x = o + 20; u = d + 7; y = 12. Given that y = 12, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 19", "d": "o + 10", "l": "d + 19", "a": "l + 9", "g": "a + 16", "f": "g + 20", "i": "x + 10", "m": "i + 17", "j": "m + 7", "z": "j + 1", "w": "z + 10", "h": "w + 20", "x": 4}, "premises": {"x": 4}, "target": "f"}, "answer": {"steps": [["g", "a + 16", "a + 36"], ["a", "l + 9", "l + 45"], ["l", "d + 19", "d + 64"], ["d", "o + 10", "o + 74"], ["o", "x + 19", "x + 93"], ["x", 4, "97"]], "target_var_name": "f", "target_value": 97, "value_dict": {"x": 4}, "is_reverse": true}}
| 2,174
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 10; j = m + 7; d = o + 10; f = g + 20; z = j + 1; m = i + 17; l = d + 19; x = 4; a = l + 9; o = x + 19; w = z + 10; g = a + 16; h = w + 20. If x = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 16 to f, which gives f = a + 36.\n2. Substitute a = l + 9 to f, which gives f = l + 45.\n3. Substitute l = d + 19 to f, which gives f = d + 64.\n4. Substitute d = o + 10 to f, which gives f = o + 74.\n5. Substitute o = x + 19 to f, which gives f = x + 93.\n6. Substitute x = 4 to f, which gives f = 97.\n\nThus, the final answer is f = \\boxed{97}.",
"index": 2174,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 10; j = m + 7; d = o + 10; f = g + 20; z = j + 1; m = i + 17; l = d + 19; x = 4; a = l + 9; o = x + 19; w = z + 10; g = a + 16; h = w + 20. If x = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "k + 4", "c": "v + 18", "q": "c + 10", "j": "q + 3", "f": "j + 8", "m": "f + 15", "b": "k + 11", "d": "b + 4", "u": "d + 8", "w": "u + 18", "x": "w + 4", "p": "x + 9", "k": 19}, "premises": {"k": 19}, "target": "m"}, "answer": {"steps": [["f", "j + 8", "j + 23"], ["j", "q + 3", "q + 26"], ["q", "c + 10", "c + 36"], ["c", "v + 18", "v + 54"], ["v", "k + 4", "k + 58"], ["k", 19, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"k": 19}, "is_reverse": true}}
| 2,175
| 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 = b + 4; p = x + 9; q = c + 10; w = u + 18; m = f + 15; b = k + 11; v = k + 4; x = w + 4; u = d + 8; j = q + 3; k = 19; c = v + 18; f = j + 8. If k = 19, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 8 to m, which gives m = j + 23.\n2. Substitute j = q + 3 to m, which gives m = q + 26.\n3. Substitute q = c + 10 to m, which gives m = c + 36.\n4. Substitute c = v + 18 to m, which gives m = v + 54.\n5. Substitute v = k + 4 to m, which gives m = k + 58.\n6. Substitute k = 19 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 2175,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 4; p = x + 9; q = c + 10; w = u + 18; m = f + 15; b = k + 11; v = k + 4; x = w + 4; u = d + 8; j = q + 3; k = 19; c = v + 18; f = j + 8. If k = 19, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 19", "d": "w + 16", "a": "d + 10", "i": "a + 5", "y": "i + 17", "s": "y + 1", "n": "k + 10", "g": "n + 16", "o": "g + 20", "f": "o + 19", "z": "f + 19", "m": "z + 6", "k": 3}, "premises": {"k": 3}, "target": "s"}, "answer": {"steps": [["y", "i + 17", "i + 18"], ["i", "a + 5", "a + 23"], ["a", "d + 10", "d + 33"], ["d", "w + 16", "w + 49"], ["w", "k + 19", "k + 68"], ["k", 3, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"k": 3}, "is_reverse": true}}
| 2,176
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 6; f = o + 19; d = w + 16; g = n + 16; s = y + 1; n = k + 10; a = d + 10; k = 3; i = a + 5; w = k + 19; o = g + 20; z = f + 19; y = i + 17. If k = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 17 to s, which gives s = i + 18.\n2. Substitute i = a + 5 to s, which gives s = a + 23.\n3. Substitute a = d + 10 to s, which gives s = d + 33.\n4. Substitute d = w + 16 to s, which gives s = w + 49.\n5. Substitute w = k + 19 to s, which gives s = k + 68.\n6. Substitute k = 3 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 2176,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 6; f = o + 19; d = w + 16; g = n + 16; s = y + 1; n = k + 10; a = d + 10; k = 3; i = a + 5; w = k + 19; o = g + 20; z = f + 19; y = i + 17. If k = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"f": "z + 19", "l": "f + 5", "p": "l + 11", "a": "p + 18", "n": "a + 7", "s": "n + 4", "b": "z + 11", "w": "b + 13", "t": "w + 17", "c": "t + 17", "e": "c + 10", "i": "e + 4", "z": 1}, "premises": {"z": 1}, "target": "s"}, "answer": {"steps": [["n", "a + 7", "a + 11"], ["a", "p + 18", "p + 29"], ["p", "l + 11", "l + 40"], ["l", "f + 5", "f + 45"], ["f", "z + 19", "z + 64"], ["z", 1, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"z": 1}, "is_reverse": true}}
| 2,177
| 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 = a + 7; z = 1; p = l + 11; w = b + 13; l = f + 5; c = t + 17; s = n + 4; a = p + 18; b = z + 11; t = w + 17; i = e + 4; e = c + 10; f = z + 19. If z = 1, what is the resulting 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 n = a + 7 to s, which gives s = a + 11.\n2. Substitute a = p + 18 to s, which gives s = p + 29.\n3. Substitute p = l + 11 to s, which gives s = l + 40.\n4. Substitute l = f + 5 to s, which gives s = f + 45.\n5. Substitute f = z + 19 to s, which gives s = z + 64.\n6. Substitute z = 1 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 2177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 7; z = 1; p = l + 11; w = b + 13; l = f + 5; c = t + 17; s = n + 4; a = p + 18; b = z + 11; t = w + 17; i = e + 4; e = c + 10; f = z + 19. If z = 1, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 2", "j": "m + 8", "d": "j + 6", "i": "d + 8", "y": "i + 12", "w": "y + 17", "a": "b + 13", "s": "a + 3", "z": "s + 3", "l": "z + 15", "x": "l + 16", "v": "x + 14", "b": 7}, "premises": {"b": 7}, "target": "w"}, "answer": {"steps": [["y", "i + 12", "i + 29"], ["i", "d + 8", "d + 37"], ["d", "j + 6", "j + 43"], ["j", "m + 8", "m + 51"], ["m", "b + 2", "b + 53"], ["b", 7, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"b": 7}, "is_reverse": true}}
| 2,178
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 17; i = d + 8; z = s + 3; s = a + 3; a = b + 13; v = x + 14; y = i + 12; d = j + 6; j = m + 8; l = z + 15; m = b + 2; x = l + 16; b = 7. Given that b = 7, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 12 to w, which gives w = i + 29.\n2. Substitute i = d + 8 to w, which gives w = d + 37.\n3. Substitute d = j + 6 to w, which gives w = j + 43.\n4. Substitute j = m + 8 to w, which gives w = m + 51.\n5. Substitute m = b + 2 to w, which gives w = b + 53.\n6. Substitute b = 7 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 2178,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 17; i = d + 8; z = s + 3; s = a + 3; a = b + 13; v = x + 14; y = i + 12; d = j + 6; j = m + 8; l = z + 15; m = b + 2; x = l + 16; b = 7. Given that b = 7, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 20", "b": "t + 2", "r": "b + 2", "w": "r + 15", "s": "w + 16", "y": "s + 14", "a": "i + 14", "z": "a + 7", "p": "z + 18", "u": "p + 1", "o": "u + 5", "q": "o + 10", "i": 2}, "premises": {"i": 2}, "target": "y"}, "answer": {"steps": [["s", "w + 16", "w + 30"], ["w", "r + 15", "r + 45"], ["r", "b + 2", "b + 47"], ["b", "t + 2", "t + 49"], ["t", "i + 20", "i + 69"], ["i", 2, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"i": 2}, "is_reverse": true}}
| 2,179
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = i + 20; w = r + 15; z = a + 7; p = z + 18; i = 2; o = u + 5; u = p + 1; y = s + 14; a = i + 14; q = o + 10; r = b + 2; s = w + 16; b = t + 2. Given that i = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 16 to y, which gives y = w + 30.\n2. Substitute w = r + 15 to y, which gives y = r + 45.\n3. Substitute r = b + 2 to y, which gives y = b + 47.\n4. Substitute b = t + 2 to y, which gives y = t + 49.\n5. Substitute t = i + 20 to y, which gives y = i + 69.\n6. Substitute i = 2 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 2179,
"question": "Suppose a collection of variables is related by the following definitions: t = i + 20; w = r + 15; z = a + 7; p = z + 18; i = 2; o = u + 5; u = p + 1; y = s + 14; a = i + 14; q = o + 10; r = b + 2; s = w + 16; b = t + 2. Given that i = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 4", "l": "o + 9", "z": "l + 20", "m": "z + 16", "f": "m + 12", "u": "f + 4", "i": "s + 11", "d": "i + 8", "b": "d + 14", "c": "b + 16", "n": "c + 6", "a": "n + 7", "s": 8}, "premises": {"s": 8}, "target": "u"}, "answer": {"steps": [["f", "m + 12", "m + 16"], ["m", "z + 16", "z + 32"], ["z", "l + 20", "l + 52"], ["l", "o + 9", "o + 61"], ["o", "s + 4", "s + 65"], ["s", 8, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"s": 8}, "is_reverse": true}}
| 2,180
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 12; b = d + 14; n = c + 6; z = l + 20; l = o + 9; i = s + 11; d = i + 8; c = b + 16; a = n + 7; u = f + 4; s = 8; m = z + 16; o = s + 4. If s = 8, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 12 to u, which gives u = m + 16.\n2. Substitute m = z + 16 to u, which gives u = z + 32.\n3. Substitute z = l + 20 to u, which gives u = l + 52.\n4. Substitute l = o + 9 to u, which gives u = o + 61.\n5. Substitute o = s + 4 to u, which gives u = s + 65.\n6. Substitute s = 8 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 2180,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 12; b = d + 14; n = c + 6; z = l + 20; l = o + 9; i = s + 11; d = i + 8; c = b + 16; a = n + 7; u = f + 4; s = 8; m = z + 16; o = s + 4. If s = 8, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 4", "l": "g + 11", "b": "l + 15", "w": "b + 20", "n": "w + 20", "k": "n + 10", "f": "o + 15", "z": "f + 16", "m": "z + 6", "e": "m + 17", "q": "e + 2", "t": "q + 5", "o": 3}, "premises": {"o": 3}, "target": "k"}, "answer": {"steps": [["n", "w + 20", "w + 30"], ["w", "b + 20", "b + 50"], ["b", "l + 15", "l + 65"], ["l", "g + 11", "g + 76"], ["g", "o + 4", "o + 80"], ["o", 3, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"o": 3}, "is_reverse": true}}
| 2,181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = l + 15; e = m + 17; z = f + 16; f = o + 15; o = 3; g = o + 4; t = q + 5; m = z + 6; l = g + 11; n = w + 20; q = e + 2; k = n + 10; w = b + 20. If o = 3, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 20 to k, which gives k = w + 30.\n2. Substitute w = b + 20 to k, which gives k = b + 50.\n3. Substitute b = l + 15 to k, which gives k = l + 65.\n4. Substitute l = g + 11 to k, which gives k = g + 76.\n5. Substitute g = o + 4 to k, which gives k = o + 80.\n6. Substitute o = 3 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 2181,
"question": "Consider a system of variables where each variable is defined as follows: b = l + 15; e = m + 17; z = f + 16; f = o + 15; o = 3; g = o + 4; t = q + 5; m = z + 6; l = g + 11; n = w + 20; q = e + 2; k = n + 10; w = b + 20. If o = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 17", "p": "c + 17", "t": "p + 11", "d": "t + 20", "m": "d + 9", "l": "m + 14", "x": "i + 3", "b": "x + 18", "w": "b + 20", "a": "w + 10", "o": "a + 14", "n": "o + 3", "i": 4}, "premises": {"i": 4}, "target": "l"}, "answer": {"steps": [["m", "d + 9", "d + 23"], ["d", "t + 20", "t + 43"], ["t", "p + 11", "p + 54"], ["p", "c + 17", "c + 71"], ["c", "i + 17", "i + 88"], ["i", 4, "92"]], "target_var_name": "l", "target_value": 92, "value_dict": {"i": 4}, "is_reverse": true}}
| 2,182
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 20; t = p + 11; a = w + 10; m = d + 9; n = o + 3; x = i + 3; w = b + 20; o = a + 14; b = x + 18; c = i + 17; l = m + 14; i = 4; p = c + 17. If i = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 9 to l, which gives l = d + 23.\n2. Substitute d = t + 20 to l, which gives l = t + 43.\n3. Substitute t = p + 11 to l, which gives l = p + 54.\n4. Substitute p = c + 17 to l, which gives l = c + 71.\n5. Substitute c = i + 17 to l, which gives l = i + 88.\n6. Substitute i = 4 to l, which gives l = 92.\n\nThus, the final answer is l = \\boxed{92}.",
"index": 2182,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 20; t = p + 11; a = w + 10; m = d + 9; n = o + 3; x = i + 3; w = b + 20; o = a + 14; b = x + 18; c = i + 17; l = m + 14; i = 4; p = c + 17. If i = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 1", "t": "k + 9", "j": "t + 11", "c": "j + 5", "d": "c + 3", "s": "d + 3", "l": "n + 7", "w": "l + 3", "f": "w + 15", "x": "f + 3", "o": "x + 7", "h": "o + 20", "n": 8}, "premises": {"n": 8}, "target": "s"}, "answer": {"steps": [["d", "c + 3", "c + 6"], ["c", "j + 5", "j + 11"], ["j", "t + 11", "t + 22"], ["t", "k + 9", "k + 31"], ["k", "n + 1", "n + 32"], ["n", 8, "40"]], "target_var_name": "s", "target_value": 40, "value_dict": {"n": 8}, "is_reverse": true}}
| 2,183
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 11; f = w + 15; d = c + 3; k = n + 1; t = k + 9; n = 8; h = o + 20; o = x + 7; w = l + 3; c = j + 5; x = f + 3; l = n + 7; s = d + 3. If n = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 3 to s, which gives s = c + 6.\n2. Substitute c = j + 5 to s, which gives s = j + 11.\n3. Substitute j = t + 11 to s, which gives s = t + 22.\n4. Substitute t = k + 9 to s, which gives s = k + 31.\n5. Substitute k = n + 1 to s, which gives s = n + 32.\n6. Substitute n = 8 to s, which gives s = 40.\n\nThus, the final answer is s = \\boxed{40}.",
"index": 2183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 11; f = w + 15; d = c + 3; k = n + 1; t = k + 9; n = 8; h = o + 20; o = x + 7; w = l + 3; c = j + 5; x = f + 3; l = n + 7; s = d + 3. If n = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 14", "e": "m + 20", "r": "e + 11", "q": "r + 1", "l": "q + 16", "a": "l + 2", "k": "y + 18", "s": "k + 17", "n": "s + 6", "b": "n + 17", "g": "b + 9", "f": "g + 16", "y": 19}, "premises": {"y": 19}, "target": "a"}, "answer": {"steps": [["l", "q + 16", "q + 18"], ["q", "r + 1", "r + 19"], ["r", "e + 11", "e + 30"], ["e", "m + 20", "m + 50"], ["m", "y + 14", "y + 64"], ["y", 19, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"y": 19}, "is_reverse": true}}
| 2,184
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 16; r = e + 11; s = k + 17; g = b + 9; a = l + 2; k = y + 18; n = s + 6; m = y + 14; l = q + 16; e = m + 20; y = 19; q = r + 1; b = n + 17. If y = 19, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 16 to a, which gives a = q + 18.\n2. Substitute q = r + 1 to a, which gives a = r + 19.\n3. Substitute r = e + 11 to a, which gives a = e + 30.\n4. Substitute e = m + 20 to a, which gives a = m + 50.\n5. Substitute m = y + 14 to a, which gives a = y + 64.\n6. Substitute y = 19 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 2184,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 16; r = e + 11; s = k + 17; g = b + 9; a = l + 2; k = y + 18; n = s + 6; m = y + 14; l = q + 16; e = m + 20; y = 19; q = r + 1; b = n + 17. If y = 19, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 14", "y": "p + 17", "z": "y + 7", "t": "z + 18", "v": "t + 7", "h": "v + 15", "o": "w + 19", "j": "o + 12", "i": "j + 16", "s": "i + 20", "c": "s + 3", "g": "c + 2", "w": 10}, "premises": {"w": 10}, "target": "h"}, "answer": {"steps": [["v", "t + 7", "t + 22"], ["t", "z + 18", "z + 40"], ["z", "y + 7", "y + 47"], ["y", "p + 17", "p + 64"], ["p", "w + 14", "w + 78"], ["w", 10, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"w": 10}, "is_reverse": true}}
| 2,185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = t + 7; z = y + 7; p = w + 14; j = o + 12; w = 10; o = w + 19; h = v + 15; i = j + 16; y = p + 17; g = c + 2; t = z + 18; c = s + 3; s = i + 20. Given that w = 10, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 7 to h, which gives h = t + 22.\n2. Substitute t = z + 18 to h, which gives h = z + 40.\n3. Substitute z = y + 7 to h, which gives h = y + 47.\n4. Substitute y = p + 17 to h, which gives h = p + 64.\n5. Substitute p = w + 14 to h, which gives h = w + 78.\n6. Substitute w = 10 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 2185,
"question": "Suppose a collection of variables is related by the following definitions: v = t + 7; z = y + 7; p = w + 14; j = o + 12; w = 10; o = w + 19; h = v + 15; i = j + 16; y = p + 17; g = c + 2; t = z + 18; c = s + 3; s = i + 20. Given that w = 10, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 2", "r": "v + 5", "n": "r + 20", "p": "n + 13", "m": "p + 9", "s": "m + 8", "u": "j + 9", "b": "u + 13", "t": "b + 7", "z": "t + 10", "e": "z + 11", "f": "e + 4", "j": 19}, "premises": {"j": 19}, "target": "s"}, "answer": {"steps": [["m", "p + 9", "p + 17"], ["p", "n + 13", "n + 30"], ["n", "r + 20", "r + 50"], ["r", "v + 5", "v + 55"], ["v", "j + 2", "j + 57"], ["j", 19, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"j": 19}, "is_reverse": true}}
| 2,186
| 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 = u + 13; r = v + 5; z = t + 10; f = e + 4; p = n + 13; j = 19; m = p + 9; n = r + 20; v = j + 2; u = j + 9; s = m + 8; t = b + 7; e = z + 11. If j = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 9 to s, which gives s = p + 17.\n2. Substitute p = n + 13 to s, which gives s = n + 30.\n3. Substitute n = r + 20 to s, which gives s = r + 50.\n4. Substitute r = v + 5 to s, which gives s = v + 55.\n5. Substitute v = j + 2 to s, which gives s = j + 57.\n6. Substitute j = 19 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 2186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 13; r = v + 5; z = t + 10; f = e + 4; p = n + 13; j = 19; m = p + 9; n = r + 20; v = j + 2; u = j + 9; s = m + 8; t = b + 7; e = z + 11. If j = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 1", "w": "p + 10", "f": "w + 17", "v": "f + 16", "n": "v + 1", "o": "n + 9", "i": "l + 9", "a": "i + 10", "u": "a + 1", "z": "u + 20", "b": "z + 19", "d": "b + 20", "l": 7}, "premises": {"l": 7}, "target": "o"}, "answer": {"steps": [["n", "v + 1", "v + 10"], ["v", "f + 16", "f + 26"], ["f", "w + 17", "w + 43"], ["w", "p + 10", "p + 53"], ["p", "l + 1", "l + 54"], ["l", 7, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"l": 7}, "is_reverse": true}}
| 2,187
| 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 = z + 19; l = 7; p = l + 1; w = p + 10; f = w + 17; n = v + 1; o = n + 9; v = f + 16; z = u + 20; i = l + 9; d = b + 20; a = i + 10; u = a + 1. If l = 7, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 1 to o, which gives o = v + 10.\n2. Substitute v = f + 16 to o, which gives o = f + 26.\n3. Substitute f = w + 17 to o, which gives o = w + 43.\n4. Substitute w = p + 10 to o, which gives o = p + 53.\n5. Substitute p = l + 1 to o, which gives o = l + 54.\n6. Substitute l = 7 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 2187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 19; l = 7; p = l + 1; w = p + 10; f = w + 17; n = v + 1; o = n + 9; v = f + 16; z = u + 20; i = l + 9; d = b + 20; a = i + 10; u = a + 1. If l = 7, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 2", "o": "v + 20", "c": "o + 19", "b": "c + 16", "q": "b + 2", "f": "q + 12", "a": "n + 16", "l": "a + 3", "p": "l + 15", "y": "p + 15", "k": "y + 17", "w": "k + 14", "n": 17}, "premises": {"n": 17}, "target": "f"}, "answer": {"steps": [["q", "b + 2", "b + 14"], ["b", "c + 16", "c + 30"], ["c", "o + 19", "o + 49"], ["o", "v + 20", "v + 69"], ["v", "n + 2", "n + 71"], ["n", 17, "88"]], "target_var_name": "f", "target_value": 88, "value_dict": {"n": 17}, "is_reverse": true}}
| 2,188
| 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 = 17; y = p + 15; v = n + 2; l = a + 3; p = l + 15; q = b + 2; k = y + 17; w = k + 14; c = o + 19; b = c + 16; o = v + 20; a = n + 16; f = q + 12. If n = 17, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 2 to f, which gives f = b + 14.\n2. Substitute b = c + 16 to f, which gives f = c + 30.\n3. Substitute c = o + 19 to f, which gives f = o + 49.\n4. Substitute o = v + 20 to f, which gives f = v + 69.\n5. Substitute v = n + 2 to f, which gives f = n + 71.\n6. Substitute n = 17 to f, which gives f = 88.\n\nThus, the final answer is f = \\boxed{88}.",
"index": 2188,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 17; y = p + 15; v = n + 2; l = a + 3; p = l + 15; q = b + 2; k = y + 17; w = k + 14; c = o + 19; b = c + 16; o = v + 20; a = n + 16; f = q + 12. If n = 17, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 12", "i": "q + 18", "f": "i + 16", "p": "f + 17", "e": "p + 11", "l": "e + 16", "r": "j + 14", "x": "r + 2", "k": "x + 1", "n": "k + 5", "o": "n + 3", "b": "o + 18", "j": 3}, "premises": {"j": 3}, "target": "l"}, "answer": {"steps": [["e", "p + 11", "p + 27"], ["p", "f + 17", "f + 44"], ["f", "i + 16", "i + 60"], ["i", "q + 18", "q + 78"], ["q", "j + 12", "j + 90"], ["j", 3, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"j": 3}, "is_reverse": true}}
| 2,189
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = k + 5; q = j + 12; l = e + 16; o = n + 3; x = r + 2; f = i + 16; j = 3; i = q + 18; k = x + 1; e = p + 11; b = o + 18; p = f + 17; r = j + 14. If j = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 11 to l, which gives l = p + 27.\n2. Substitute p = f + 17 to l, which gives l = f + 44.\n3. Substitute f = i + 16 to l, which gives l = i + 60.\n4. Substitute i = q + 18 to l, which gives l = q + 78.\n5. Substitute q = j + 12 to l, which gives l = j + 90.\n6. Substitute j = 3 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 2189,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 5; q = j + 12; l = e + 16; o = n + 3; x = r + 2; f = i + 16; j = 3; i = q + 18; k = x + 1; e = p + 11; b = o + 18; p = f + 17; r = j + 14. If j = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "e + 4", "s": "l + 3", "n": "s + 9", "h": "n + 11", "p": "h + 18", "k": "p + 16", "y": "e + 3", "a": "y + 13", "q": "a + 5", "t": "q + 12", "g": "t + 16", "d": "g + 18", "e": 11}, "premises": {"e": 11}, "target": "k"}, "answer": {"steps": [["p", "h + 18", "h + 34"], ["h", "n + 11", "n + 45"], ["n", "s + 9", "s + 54"], ["s", "l + 3", "l + 57"], ["l", "e + 4", "e + 61"], ["e", 11, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"e": 11}, "is_reverse": true}}
| 2,190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = q + 12; y = e + 3; g = t + 16; d = g + 18; n = s + 9; e = 11; h = n + 11; p = h + 18; l = e + 4; k = p + 16; q = a + 5; s = l + 3; a = y + 13. If e = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 18 to k, which gives k = h + 34.\n2. Substitute h = n + 11 to k, which gives k = n + 45.\n3. Substitute n = s + 9 to k, which gives k = s + 54.\n4. Substitute s = l + 3 to k, which gives k = l + 57.\n5. Substitute l = e + 4 to k, which gives k = e + 61.\n6. Substitute e = 11 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 2190,
"question": "Consider a system of variables where each variable is defined as follows: t = q + 12; y = e + 3; g = t + 16; d = g + 18; n = s + 9; e = 11; h = n + 11; p = h + 18; l = e + 4; k = p + 16; q = a + 5; s = l + 3; a = y + 13. If e = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 7", "i": "b + 6", "t": "i + 6", "y": "t + 12", "u": "y + 7", "r": "u + 14", "q": "f + 19", "p": "q + 3", "k": "p + 13", "g": "k + 6", "a": "g + 7", "s": "a + 16", "f": 16}, "premises": {"f": 16}, "target": "r"}, "answer": {"steps": [["u", "y + 7", "y + 21"], ["y", "t + 12", "t + 33"], ["t", "i + 6", "i + 39"], ["i", "b + 6", "b + 45"], ["b", "f + 7", "f + 52"], ["f", 16, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"f": 16}, "is_reverse": true}}
| 2,191
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 19; p = q + 3; y = t + 12; s = a + 16; t = i + 6; f = 16; a = g + 7; u = y + 7; k = p + 13; i = b + 6; b = f + 7; g = k + 6; r = u + 14. Given that f = 16, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 7 to r, which gives r = y + 21.\n2. Substitute y = t + 12 to r, which gives r = t + 33.\n3. Substitute t = i + 6 to r, which gives r = i + 39.\n4. Substitute i = b + 6 to r, which gives r = b + 45.\n5. Substitute b = f + 7 to r, which gives r = f + 52.\n6. Substitute f = 16 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 2191,
"question": "Suppose a collection of variables is related by the following definitions: q = f + 19; p = q + 3; y = t + 12; s = a + 16; t = i + 6; f = 16; a = g + 7; u = y + 7; k = p + 13; i = b + 6; b = f + 7; g = k + 6; r = u + 14. Given that f = 16, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 3", "s": "j + 11", "l": "s + 12", "f": "l + 16", "w": "f + 12", "z": "w + 9", "n": "a + 13", "c": "n + 18", "b": "c + 2", "e": "b + 5", "r": "e + 2", "q": "r + 19", "a": 2}, "premises": {"a": 2}, "target": "z"}, "answer": {"steps": [["w", "f + 12", "f + 21"], ["f", "l + 16", "l + 37"], ["l", "s + 12", "s + 49"], ["s", "j + 11", "j + 60"], ["j", "a + 3", "a + 63"], ["a", 2, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"a": 2}, "is_reverse": true}}
| 2,192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 9; l = s + 12; j = a + 3; w = f + 12; c = n + 18; e = b + 5; q = r + 19; n = a + 13; s = j + 11; b = c + 2; f = l + 16; a = 2; r = e + 2. Given that a = 2, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 12 to z, which gives z = f + 21.\n2. Substitute f = l + 16 to z, which gives z = l + 37.\n3. Substitute l = s + 12 to z, which gives z = s + 49.\n4. Substitute s = j + 11 to z, which gives z = j + 60.\n5. Substitute j = a + 3 to z, which gives z = a + 63.\n6. Substitute a = 2 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 2192,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 9; l = s + 12; j = a + 3; w = f + 12; c = n + 18; e = b + 5; q = r + 19; n = a + 13; s = j + 11; b = c + 2; f = l + 16; a = 2; r = e + 2. Given that a = 2, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 4", "o": "g + 14", "t": "o + 14", "n": "t + 11", "f": "n + 8", "b": "f + 9", "d": "h + 9", "c": "d + 14", "y": "c + 20", "e": "y + 16", "u": "e + 3", "j": "u + 12", "h": 13}, "premises": {"h": 13}, "target": "b"}, "answer": {"steps": [["f", "n + 8", "n + 17"], ["n", "t + 11", "t + 28"], ["t", "o + 14", "o + 42"], ["o", "g + 14", "g + 56"], ["g", "h + 4", "h + 60"], ["h", 13, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"h": 13}, "is_reverse": true}}
| 2,193
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 20; n = t + 11; d = h + 9; e = y + 16; j = u + 12; h = 13; g = h + 4; u = e + 3; t = o + 14; b = f + 9; f = n + 8; o = g + 14; c = d + 14. If h = 13, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 8 to b, which gives b = n + 17.\n2. Substitute n = t + 11 to b, which gives b = t + 28.\n3. Substitute t = o + 14 to b, which gives b = o + 42.\n4. Substitute o = g + 14 to b, which gives b = g + 56.\n5. Substitute g = h + 4 to b, which gives b = h + 60.\n6. Substitute h = 13 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 2193,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 20; n = t + 11; d = h + 9; e = y + 16; j = u + 12; h = 13; g = h + 4; u = e + 3; t = o + 14; b = f + 9; f = n + 8; o = g + 14; c = d + 14. If h = 13, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 2", "e": "h + 20", "p": "e + 1", "n": "p + 19", "r": "n + 10", "z": "r + 17", "m": "a + 9", "v": "m + 3", "j": "v + 15", "y": "j + 20", "s": "y + 13", "d": "s + 2", "a": 2}, "premises": {"a": 2}, "target": "z"}, "answer": {"steps": [["r", "n + 10", "n + 27"], ["n", "p + 19", "p + 46"], ["p", "e + 1", "e + 47"], ["e", "h + 20", "h + 67"], ["h", "a + 2", "a + 69"], ["a", 2, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"a": 2}, "is_reverse": true}}
| 2,194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 3; y = j + 20; p = e + 1; n = p + 19; h = a + 2; z = r + 17; d = s + 2; s = y + 13; e = h + 20; r = n + 10; j = v + 15; m = a + 9; a = 2. If a = 2, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 10 to z, which gives z = n + 27.\n2. Substitute n = p + 19 to z, which gives z = p + 46.\n3. Substitute p = e + 1 to z, which gives z = e + 47.\n4. Substitute e = h + 20 to z, which gives z = h + 67.\n5. Substitute h = a + 2 to z, which gives z = a + 69.\n6. Substitute a = 2 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 2194,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 3; y = j + 20; p = e + 1; n = p + 19; h = a + 2; z = r + 17; d = s + 2; s = y + 13; e = h + 20; r = n + 10; j = v + 15; m = a + 9; a = 2. If a = 2, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 12", "l": "h + 8", "x": "l + 17", "y": "x + 7", "s": "y + 4", "n": "s + 18", "m": "q + 16", "c": "m + 13", "a": "c + 6", "t": "a + 5", "o": "t + 12", "b": "o + 5", "q": 6}, "premises": {"q": 6}, "target": "n"}, "answer": {"steps": [["s", "y + 4", "y + 22"], ["y", "x + 7", "x + 29"], ["x", "l + 17", "l + 46"], ["l", "h + 8", "h + 54"], ["h", "q + 12", "q + 66"], ["q", 6, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"q": 6}, "is_reverse": true}}
| 2,195
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 18; s = y + 4; m = q + 16; o = t + 12; h = q + 12; q = 6; x = l + 17; c = m + 13; l = h + 8; b = o + 5; t = a + 5; y = x + 7; a = c + 6. If q = 6, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 4 to n, which gives n = y + 22.\n2. Substitute y = x + 7 to n, which gives n = x + 29.\n3. Substitute x = l + 17 to n, which gives n = l + 46.\n4. Substitute l = h + 8 to n, which gives n = h + 54.\n5. Substitute h = q + 12 to n, which gives n = q + 66.\n6. Substitute q = 6 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 2195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 18; s = y + 4; m = q + 16; o = t + 12; h = q + 12; q = 6; x = l + 17; c = m + 13; l = h + 8; b = o + 5; t = a + 5; y = x + 7; a = c + 6. If q = 6, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 13", "f": "g + 7", "h": "f + 20", "j": "h + 17", "x": "j + 11", "q": "x + 19", "t": "i + 19", "u": "t + 2", "s": "u + 11", "p": "s + 7", "w": "p + 14", "l": "w + 3", "i": 4}, "premises": {"i": 4}, "target": "q"}, "answer": {"steps": [["x", "j + 11", "j + 30"], ["j", "h + 17", "h + 47"], ["h", "f + 20", "f + 67"], ["f", "g + 7", "g + 74"], ["g", "i + 13", "i + 87"], ["i", 4, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"i": 4}, "is_reverse": true}}
| 2,196
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 7; q = x + 19; t = i + 19; s = u + 11; i = 4; j = h + 17; g = i + 13; h = f + 20; u = t + 2; l = w + 3; w = p + 14; x = j + 11; p = s + 7. Given that i = 4, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 11 to q, which gives q = j + 30.\n2. Substitute j = h + 17 to q, which gives q = h + 47.\n3. Substitute h = f + 20 to q, which gives q = f + 67.\n4. Substitute f = g + 7 to q, which gives q = g + 74.\n5. Substitute g = i + 13 to q, which gives q = i + 87.\n6. Substitute i = 4 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 2196,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 7; q = x + 19; t = i + 19; s = u + 11; i = 4; j = h + 17; g = i + 13; h = f + 20; u = t + 2; l = w + 3; w = p + 14; x = j + 11; p = s + 7. Given that i = 4, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "g + 1", "j": "w + 1", "e": "j + 9", "u": "e + 8", "m": "u + 16", "p": "m + 7", "i": "g + 9", "l": "i + 10", "k": "l + 3", "q": "k + 9", "a": "q + 8", "d": "a + 14", "g": 2}, "premises": {"g": 2}, "target": "p"}, "answer": {"steps": [["m", "u + 16", "u + 23"], ["u", "e + 8", "e + 31"], ["e", "j + 9", "j + 40"], ["j", "w + 1", "w + 41"], ["w", "g + 1", "g + 42"], ["g", 2, "44"]], "target_var_name": "p", "target_value": 44, "value_dict": {"g": 2}, "is_reverse": true}}
| 2,197
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 7; k = l + 3; l = i + 10; u = e + 8; i = g + 9; a = q + 8; w = g + 1; e = j + 9; q = k + 9; m = u + 16; g = 2; j = w + 1; d = a + 14. Given that g = 2, find 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 m = u + 16 to p, which gives p = u + 23.\n2. Substitute u = e + 8 to p, which gives p = e + 31.\n3. Substitute e = j + 9 to p, which gives p = j + 40.\n4. Substitute j = w + 1 to p, which gives p = w + 41.\n5. Substitute w = g + 1 to p, which gives p = g + 42.\n6. Substitute g = 2 to p, which gives p = 44.\n\nThus, the final answer is p = \\boxed{44}.",
"index": 2197,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 7; k = l + 3; l = i + 10; u = e + 8; i = g + 9; a = q + 8; w = g + 1; e = j + 9; q = k + 9; m = u + 16; g = 2; j = w + 1; d = a + 14. Given that g = 2, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "j + 1", "h": "s + 15", "w": "h + 6", "m": "w + 8", "t": "m + 8", "q": "t + 18", "f": "j + 14", "z": "f + 5", "c": "z + 16", "o": "c + 11", "l": "o + 5", "e": "l + 7", "j": 17}, "premises": {"j": 17}, "target": "q"}, "answer": {"steps": [["t", "m + 8", "m + 26"], ["m", "w + 8", "w + 34"], ["w", "h + 6", "h + 40"], ["h", "s + 15", "s + 55"], ["s", "j + 1", "j + 56"], ["j", 17, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"j": 17}, "is_reverse": true}}
| 2,198
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 5; f = j + 14; j = 17; m = w + 8; h = s + 15; l = o + 5; t = m + 8; e = l + 7; c = z + 16; s = j + 1; q = t + 18; w = h + 6; o = c + 11. If j = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 8 to q, which gives q = m + 26.\n2. Substitute m = w + 8 to q, which gives q = w + 34.\n3. Substitute w = h + 6 to q, which gives q = h + 40.\n4. Substitute h = s + 15 to q, which gives q = s + 55.\n5. Substitute s = j + 1 to q, which gives q = j + 56.\n6. Substitute j = 17 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 2198,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 5; f = j + 14; j = 17; m = w + 8; h = s + 15; l = o + 5; t = m + 8; e = l + 7; c = z + 16; s = j + 1; q = t + 18; w = h + 6; o = c + 11. If j = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 8", "n": "q + 1", "k": "n + 6", "l": "k + 20", "r": "l + 16", "o": "r + 2", "g": "i + 7", "b": "g + 12", "t": "b + 6", "j": "t + 6", "d": "j + 16", "u": "d + 15", "i": 10}, "premises": {"i": 10}, "target": "o"}, "answer": {"steps": [["r", "l + 16", "l + 18"], ["l", "k + 20", "k + 38"], ["k", "n + 6", "n + 44"], ["n", "q + 1", "q + 45"], ["q", "i + 8", "i + 53"], ["i", 10, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"i": 10}, "is_reverse": true}}
| 2,199
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = k + 20; b = g + 12; r = l + 16; k = n + 6; u = d + 15; d = j + 16; t = b + 6; g = i + 7; n = q + 1; o = r + 2; q = i + 8; j = t + 6; i = 10. If i = 10, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 16 to o, which gives o = l + 18.\n2. Substitute l = k + 20 to o, which gives o = k + 38.\n3. Substitute k = n + 6 to o, which gives o = n + 44.\n4. Substitute n = q + 1 to o, which gives o = q + 45.\n5. Substitute q = i + 8 to o, which gives o = i + 53.\n6. Substitute i = 10 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 2199,
"question": "Consider a system of variables where each variable is defined as follows: l = k + 20; b = g + 12; r = l + 16; k = n + 6; u = d + 15; d = j + 16; t = b + 6; g = i + 7; n = q + 1; o = r + 2; q = i + 8; j = t + 6; i = 10. If i = 10, determine the value of o.",
"split": "train"
}
|
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