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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"o": "l + 18", "n": "o + 16", "i": "n + 5", "g": "i + 18", "k": "g + 19", "f": "k + 18", "x": "l + 10", "v": "x + 20", "a": "v + 7", "c": "a + 3", "u": "c + 5", "w": "u + 18", "l": 13}, "premises": {"l": 13}, "target": "f"}, "answer": {"steps": [["k", "g + 19", "g + 37"], ["g", "i + 18", "i + 55"], ["i", "n + 5", "n + 60"], ["n", "o + 16", "o + 76"], ["o", "l + 18", "l + 94"], ["l", 13, "107"]], "target_var_name": "f", "target_value": 107, "value_dict": {"l": 13}, "is_reverse": true}}
| 2,800
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; k = g + 19; x = l + 10; u = c + 5; c = a + 3; v = x + 20; w = u + 18; g = i + 18; f = k + 18; o = l + 18; l = 13; a = v + 7; n = o + 16. If l = 13, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 19 to f, which gives f = g + 37.\n2. Substitute g = i + 18 to f, which gives f = i + 55.\n3. Substitute i = n + 5 to f, which gives f = n + 60.\n4. Substitute n = o + 16 to f, which gives f = o + 76.\n5. Substitute o = l + 18 to f, which gives f = l + 94.\n6. Substitute l = 13 to f, which gives f = 107.\n\nThus, the final answer is f = \\boxed{107}.",
"index": 2800,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; k = g + 19; x = l + 10; u = c + 5; c = a + 3; v = x + 20; w = u + 18; g = i + 18; f = k + 18; o = l + 18; l = 13; a = v + 7; n = o + 16. If l = 13, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 11", "z": "f + 18", "t": "z + 11", "b": "t + 2", "x": "b + 14", "i": "x + 14", "d": "c + 7", "l": "d + 9", "v": "l + 15", "j": "v + 7", "n": "j + 15", "k": "n + 17", "c": 4}, "premises": {"c": 4}, "target": "i"}, "answer": {"steps": [["x", "b + 14", "b + 28"], ["b", "t + 2", "t + 30"], ["t", "z + 11", "z + 41"], ["z", "f + 18", "f + 59"], ["f", "c + 11", "c + 70"], ["c", 4, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"c": 4}, "is_reverse": true}}
| 2,801
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 7; f = c + 11; t = z + 11; n = j + 15; v = l + 15; c = 4; l = d + 9; d = c + 7; b = t + 2; i = x + 14; z = f + 18; x = b + 14; k = n + 17. Given that c = 4, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 14 to i, which gives i = b + 28.\n2. Substitute b = t + 2 to i, which gives i = t + 30.\n3. Substitute t = z + 11 to i, which gives i = z + 41.\n4. Substitute z = f + 18 to i, which gives i = f + 59.\n5. Substitute f = c + 11 to i, which gives i = c + 70.\n6. Substitute c = 4 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 2801,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 7; f = c + 11; t = z + 11; n = j + 15; v = l + 15; c = 4; l = d + 9; d = c + 7; b = t + 2; i = x + 14; z = f + 18; x = b + 14; k = n + 17. Given that c = 4, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 9", "c": "x + 11", "a": "c + 6", "h": "a + 20", "d": "h + 9", "n": "d + 5", "p": "m + 1", "g": "p + 16", "v": "g + 13", "k": "v + 4", "b": "k + 14", "w": "b + 10", "m": 20}, "premises": {"m": 20}, "target": "n"}, "answer": {"steps": [["d", "h + 9", "h + 14"], ["h", "a + 20", "a + 34"], ["a", "c + 6", "c + 40"], ["c", "x + 11", "x + 51"], ["x", "m + 9", "m + 60"], ["m", 20, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"m": 20}, "is_reverse": true}}
| 2,802
| 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 = c + 6; d = h + 9; x = m + 9; g = p + 16; m = 20; k = v + 4; n = d + 5; p = m + 1; w = b + 10; c = x + 11; b = k + 14; h = a + 20; v = g + 13. If m = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 9 to n, which gives n = h + 14.\n2. Substitute h = a + 20 to n, which gives n = a + 34.\n3. Substitute a = c + 6 to n, which gives n = c + 40.\n4. Substitute c = x + 11 to n, which gives n = x + 51.\n5. Substitute x = m + 9 to n, which gives n = m + 60.\n6. Substitute m = 20 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 2802,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 6; d = h + 9; x = m + 9; g = p + 16; m = 20; k = v + 4; n = d + 5; p = m + 1; w = b + 10; c = x + 11; b = k + 14; h = a + 20; v = g + 13. If m = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 14", "q": "v + 17", "s": "q + 4", "c": "s + 16", "a": "c + 20", "r": "a + 10", "u": "n + 10", "g": "u + 13", "b": "g + 1", "m": "b + 8", "y": "m + 20", "t": "y + 15", "n": 3}, "premises": {"n": 3}, "target": "r"}, "answer": {"steps": [["a", "c + 20", "c + 30"], ["c", "s + 16", "s + 46"], ["s", "q + 4", "q + 50"], ["q", "v + 17", "v + 67"], ["v", "n + 14", "n + 81"], ["n", 3, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"n": 3}, "is_reverse": true}}
| 2,803
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 4; n = 3; u = n + 10; c = s + 16; y = m + 20; m = b + 8; b = g + 1; t = y + 15; g = u + 13; a = c + 20; q = v + 17; r = a + 10; v = n + 14. Given that n = 3, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 20 to r, which gives r = c + 30.\n2. Substitute c = s + 16 to r, which gives r = s + 46.\n3. Substitute s = q + 4 to r, which gives r = q + 50.\n4. Substitute q = v + 17 to r, which gives r = v + 67.\n5. Substitute v = n + 14 to r, which gives r = n + 81.\n6. Substitute n = 3 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 2803,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 4; n = 3; u = n + 10; c = s + 16; y = m + 20; m = b + 8; b = g + 1; t = y + 15; g = u + 13; a = c + 20; q = v + 17; r = a + 10; v = n + 14. Given that n = 3, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"l": "q + 18", "e": "l + 18", "b": "e + 15", "j": "b + 1", "k": "j + 12", "w": "k + 16", "o": "q + 4", "m": "o + 18", "g": "m + 2", "n": "g + 15", "c": "n + 10", "s": "c + 8", "q": 18}, "premises": {"q": 18}, "target": "w"}, "answer": {"steps": [["k", "j + 12", "j + 28"], ["j", "b + 1", "b + 29"], ["b", "e + 15", "e + 44"], ["e", "l + 18", "l + 62"], ["l", "q + 18", "q + 80"], ["q", 18, "98"]], "target_var_name": "w", "target_value": 98, "value_dict": {"q": 18}, "is_reverse": true}}
| 2,804
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 16; c = n + 10; q = 18; k = j + 12; g = m + 2; s = c + 8; o = q + 4; n = g + 15; e = l + 18; m = o + 18; b = e + 15; l = q + 18; j = b + 1. If q = 18, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 12 to w, which gives w = j + 28.\n2. Substitute j = b + 1 to w, which gives w = b + 29.\n3. Substitute b = e + 15 to w, which gives w = e + 44.\n4. Substitute e = l + 18 to w, which gives w = l + 62.\n5. Substitute l = q + 18 to w, which gives w = q + 80.\n6. Substitute q = 18 to w, which gives w = 98.\n\nThus, the final answer is w = \\boxed{98}.",
"index": 2804,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 16; c = n + 10; q = 18; k = j + 12; g = m + 2; s = c + 8; o = q + 4; n = g + 15; e = l + 18; m = o + 18; b = e + 15; l = q + 18; j = b + 1. If q = 18, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 2", "y": "d + 20", "n": "y + 15", "l": "n + 14", "b": "l + 13", "m": "b + 13", "v": "z + 13", "r": "v + 20", "h": "r + 11", "j": "h + 6", "k": "j + 17", "w": "k + 14", "z": 3}, "premises": {"z": 3}, "target": "m"}, "answer": {"steps": [["b", "l + 13", "l + 26"], ["l", "n + 14", "n + 40"], ["n", "y + 15", "y + 55"], ["y", "d + 20", "d + 75"], ["d", "z + 2", "z + 77"], ["z", 3, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"z": 3}, "is_reverse": true}}
| 2,805
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 2; j = h + 6; n = y + 15; l = n + 14; y = d + 20; m = b + 13; b = l + 13; w = k + 14; h = r + 11; z = 3; v = z + 13; k = j + 17; r = v + 20. If z = 3, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 13 to m, which gives m = l + 26.\n2. Substitute l = n + 14 to m, which gives m = n + 40.\n3. Substitute n = y + 15 to m, which gives m = y + 55.\n4. Substitute y = d + 20 to m, which gives m = d + 75.\n5. Substitute d = z + 2 to m, which gives m = z + 77.\n6. Substitute z = 3 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 2805,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 2; j = h + 6; n = y + 15; l = n + 14; y = d + 20; m = b + 13; b = l + 13; w = k + 14; h = r + 11; z = 3; v = z + 13; k = j + 17; r = v + 20. If z = 3, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 18", "z": "s + 11", "t": "z + 8", "n": "t + 16", "l": "n + 3", "a": "l + 1", "q": "p + 2", "d": "q + 10", "b": "d + 14", "y": "b + 19", "v": "y + 1", "c": "v + 2", "p": 9}, "premises": {"p": 9}, "target": "a"}, "answer": {"steps": [["l", "n + 3", "n + 4"], ["n", "t + 16", "t + 20"], ["t", "z + 8", "z + 28"], ["z", "s + 11", "s + 39"], ["s", "p + 18", "p + 57"], ["p", 9, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"p": 9}, "is_reverse": true}}
| 2,806
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 1; c = v + 2; d = q + 10; q = p + 2; n = t + 16; p = 9; b = d + 14; y = b + 19; t = z + 8; l = n + 3; s = p + 18; z = s + 11; v = y + 1. Given that p = 9, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 3 to a, which gives a = n + 4.\n2. Substitute n = t + 16 to a, which gives a = t + 20.\n3. Substitute t = z + 8 to a, which gives a = z + 28.\n4. Substitute z = s + 11 to a, which gives a = s + 39.\n5. Substitute s = p + 18 to a, which gives a = p + 57.\n6. Substitute p = 9 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 2806,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 1; c = v + 2; d = q + 10; q = p + 2; n = t + 16; p = 9; b = d + 14; y = b + 19; t = z + 8; l = n + 3; s = p + 18; z = s + 11; v = y + 1. Given that p = 9, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 20", "o": "r + 4", "f": "o + 2", "t": "f + 20", "a": "t + 15", "s": "a + 6", "w": "e + 10", "k": "w + 11", "d": "k + 2", "q": "d + 2", "i": "q + 13", "l": "i + 3", "e": 20}, "premises": {"e": 20}, "target": "s"}, "answer": {"steps": [["a", "t + 15", "t + 21"], ["t", "f + 20", "f + 41"], ["f", "o + 2", "o + 43"], ["o", "r + 4", "r + 47"], ["r", "e + 20", "e + 67"], ["e", 20, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"e": 20}, "is_reverse": true}}
| 2,807
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 2; i = q + 13; o = r + 4; s = a + 6; d = k + 2; w = e + 10; e = 20; a = t + 15; f = o + 2; l = i + 3; k = w + 11; r = e + 20; t = f + 20. If e = 20, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 15 to s, which gives s = t + 21.\n2. Substitute t = f + 20 to s, which gives s = f + 41.\n3. Substitute f = o + 2 to s, which gives s = o + 43.\n4. Substitute o = r + 4 to s, which gives s = r + 47.\n5. Substitute r = e + 20 to s, which gives s = e + 67.\n6. Substitute e = 20 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 2807,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 2; i = q + 13; o = r + 4; s = a + 6; d = k + 2; w = e + 10; e = 20; a = t + 15; f = o + 2; l = i + 3; k = w + 11; r = e + 20; t = f + 20. If e = 20, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 5", "f": "m + 17", "i": "f + 1", "l": "i + 3", "b": "l + 16", "o": "b + 3", "p": "s + 3", "d": "p + 17", "v": "d + 10", "y": "v + 8", "c": "y + 19", "e": "c + 12", "s": 14}, "premises": {"s": 14}, "target": "o"}, "answer": {"steps": [["b", "l + 16", "l + 19"], ["l", "i + 3", "i + 22"], ["i", "f + 1", "f + 23"], ["f", "m + 17", "m + 40"], ["m", "s + 5", "s + 45"], ["s", 14, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"s": 14}, "is_reverse": true}}
| 2,808
| 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 = 14; l = i + 3; d = p + 17; m = s + 5; o = b + 3; i = f + 1; e = c + 12; p = s + 3; f = m + 17; v = d + 10; y = v + 8; c = y + 19; b = l + 16. If s = 14, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 16 to o, which gives o = l + 19.\n2. Substitute l = i + 3 to o, which gives o = i + 22.\n3. Substitute i = f + 1 to o, which gives o = f + 23.\n4. Substitute f = m + 17 to o, which gives o = m + 40.\n5. Substitute m = s + 5 to o, which gives o = s + 45.\n6. Substitute s = 14 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 2808,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 14; l = i + 3; d = p + 17; m = s + 5; o = b + 3; i = f + 1; e = c + 12; p = s + 3; f = m + 17; v = d + 10; y = v + 8; c = y + 19; b = l + 16. If s = 14, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 13", "r": "b + 14", "n": "r + 7", "o": "n + 9", "u": "o + 6", "h": "u + 9", "m": "p + 20", "w": "m + 1", "x": "w + 19", "l": "x + 10", "v": "l + 12", "e": "v + 2", "p": 14}, "premises": {"p": 14}, "target": "h"}, "answer": {"steps": [["u", "o + 6", "o + 15"], ["o", "n + 9", "n + 24"], ["n", "r + 7", "r + 31"], ["r", "b + 14", "b + 45"], ["b", "p + 13", "p + 58"], ["p", 14, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"p": 14}, "is_reverse": true}}
| 2,809
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 9; e = v + 2; b = p + 13; v = l + 12; u = o + 6; l = x + 10; r = b + 14; h = u + 9; x = w + 19; p = 14; n = r + 7; w = m + 1; m = p + 20. If p = 14, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 6 to h, which gives h = o + 15.\n2. Substitute o = n + 9 to h, which gives h = n + 24.\n3. Substitute n = r + 7 to h, which gives h = r + 31.\n4. Substitute r = b + 14 to h, which gives h = b + 45.\n5. Substitute b = p + 13 to h, which gives h = p + 58.\n6. Substitute p = 14 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 2809,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 9; e = v + 2; b = p + 13; v = l + 12; u = o + 6; l = x + 10; r = b + 14; h = u + 9; x = w + 19; p = 14; n = r + 7; w = m + 1; m = p + 20. If p = 14, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 14", "w": "m + 18", "j": "w + 6", "y": "j + 5", "k": "y + 6", "d": "k + 18", "a": "v + 4", "l": "a + 3", "q": "l + 20", "z": "q + 5", "r": "z + 10", "s": "r + 20", "v": 14}, "premises": {"v": 14}, "target": "d"}, "answer": {"steps": [["k", "y + 6", "y + 24"], ["y", "j + 5", "j + 29"], ["j", "w + 6", "w + 35"], ["w", "m + 18", "m + 53"], ["m", "v + 14", "v + 67"], ["v", 14, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"v": 14}, "is_reverse": true}}
| 2,810
| 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 = a + 3; m = v + 14; q = l + 20; z = q + 5; y = j + 5; j = w + 6; v = 14; d = k + 18; k = y + 6; w = m + 18; r = z + 10; s = r + 20; a = v + 4. If v = 14, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 6 to d, which gives d = y + 24.\n2. Substitute y = j + 5 to d, which gives d = j + 29.\n3. Substitute j = w + 6 to d, which gives d = w + 35.\n4. Substitute w = m + 18 to d, which gives d = m + 53.\n5. Substitute m = v + 14 to d, which gives d = v + 67.\n6. Substitute v = 14 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 2810,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 3; m = v + 14; q = l + 20; z = q + 5; y = j + 5; j = w + 6; v = 14; d = k + 18; k = y + 6; w = m + 18; r = z + 10; s = r + 20; a = v + 4. If v = 14, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 12", "e": "f + 18", "l": "e + 20", "g": "l + 18", "a": "g + 1", "s": "a + 14", "t": "o + 4", "i": "t + 6", "z": "i + 12", "b": "z + 1", "d": "b + 18", "k": "d + 4", "o": 13}, "premises": {"o": 13}, "target": "s"}, "answer": {"steps": [["a", "g + 1", "g + 15"], ["g", "l + 18", "l + 33"], ["l", "e + 20", "e + 53"], ["e", "f + 18", "f + 71"], ["f", "o + 12", "o + 83"], ["o", 13, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"o": 13}, "is_reverse": true}}
| 2,811
| 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 = e + 20; a = g + 1; k = d + 4; b = z + 1; z = i + 12; i = t + 6; o = 13; g = l + 18; s = a + 14; f = o + 12; d = b + 18; t = o + 4; e = f + 18. If o = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 1 to s, which gives s = g + 15.\n2. Substitute g = l + 18 to s, which gives s = l + 33.\n3. Substitute l = e + 20 to s, which gives s = e + 53.\n4. Substitute e = f + 18 to s, which gives s = f + 71.\n5. Substitute f = o + 12 to s, which gives s = o + 83.\n6. Substitute o = 13 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 2811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 20; a = g + 1; k = d + 4; b = z + 1; z = i + 12; i = t + 6; o = 13; g = l + 18; s = a + 14; f = o + 12; d = b + 18; t = o + 4; e = f + 18. If o = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"m": "t + 14", "b": "m + 10", "u": "b + 18", "h": "u + 5", "i": "h + 17", "o": "i + 11", "v": "t + 6", "w": "v + 13", "a": "w + 14", "d": "a + 9", "x": "d + 10", "r": "x + 18", "t": 5}, "premises": {"t": 5}, "target": "o"}, "answer": {"steps": [["i", "h + 17", "h + 28"], ["h", "u + 5", "u + 33"], ["u", "b + 18", "b + 51"], ["b", "m + 10", "m + 61"], ["m", "t + 14", "t + 75"], ["t", 5, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"t": 5}, "is_reverse": true}}
| 2,812
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = 5; o = i + 11; a = w + 14; w = v + 13; m = t + 14; r = x + 18; b = m + 10; v = t + 6; i = h + 17; u = b + 18; h = u + 5; x = d + 10; d = a + 9. If t = 5, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 17 to o, which gives o = h + 28.\n2. Substitute h = u + 5 to o, which gives o = u + 33.\n3. Substitute u = b + 18 to o, which gives o = b + 51.\n4. Substitute b = m + 10 to o, which gives o = m + 61.\n5. Substitute m = t + 14 to o, which gives o = t + 75.\n6. Substitute t = 5 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 2812,
"question": "Consider a system of variables where each variable is defined as follows: t = 5; o = i + 11; a = w + 14; w = v + 13; m = t + 14; r = x + 18; b = m + 10; v = t + 6; i = h + 17; u = b + 18; h = u + 5; x = d + 10; d = a + 9. If t = 5, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 10", "k": "b + 12", "h": "k + 11", "v": "h + 2", "d": "v + 15", "p": "d + 12", "l": "j + 20", "n": "l + 1", "a": "n + 14", "c": "a + 2", "w": "c + 5", "y": "w + 6", "j": 6}, "premises": {"j": 6}, "target": "p"}, "answer": {"steps": [["d", "v + 15", "v + 27"], ["v", "h + 2", "h + 29"], ["h", "k + 11", "k + 40"], ["k", "b + 12", "b + 52"], ["b", "j + 10", "j + 62"], ["j", 6, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"j": 6}, "is_reverse": true}}
| 2,813
| 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 = b + 12; v = h + 2; b = j + 10; c = a + 2; w = c + 5; h = k + 11; a = n + 14; d = v + 15; l = j + 20; y = w + 6; p = d + 12; n = l + 1; j = 6. If j = 6, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 15 to p, which gives p = v + 27.\n2. Substitute v = h + 2 to p, which gives p = h + 29.\n3. Substitute h = k + 11 to p, which gives p = k + 40.\n4. Substitute k = b + 12 to p, which gives p = b + 52.\n5. Substitute b = j + 10 to p, which gives p = j + 62.\n6. Substitute j = 6 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 2813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 12; v = h + 2; b = j + 10; c = a + 2; w = c + 5; h = k + 11; a = n + 14; d = v + 15; l = j + 20; y = w + 6; p = d + 12; n = l + 1; j = 6. If j = 6, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 6", "g": "r + 10", "j": "g + 1", "y": "j + 14", "i": "y + 1", "u": "i + 4", "h": "l + 13", "s": "h + 11", "f": "s + 4", "a": "f + 10", "x": "a + 11", "v": "x + 16", "l": 9}, "premises": {"l": 9}, "target": "u"}, "answer": {"steps": [["i", "y + 1", "y + 5"], ["y", "j + 14", "j + 19"], ["j", "g + 1", "g + 20"], ["g", "r + 10", "r + 30"], ["r", "l + 6", "l + 36"], ["l", 9, "45"]], "target_var_name": "u", "target_value": 45, "value_dict": {"l": 9}, "is_reverse": true}}
| 2,814
| 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 = 9; g = r + 10; j = g + 1; v = x + 16; r = l + 6; u = i + 4; i = y + 1; y = j + 14; s = h + 11; x = a + 11; h = l + 13; a = f + 10; f = s + 4. If l = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 1 to u, which gives u = y + 5.\n2. Substitute y = j + 14 to u, which gives u = j + 19.\n3. Substitute j = g + 1 to u, which gives u = g + 20.\n4. Substitute g = r + 10 to u, which gives u = r + 30.\n5. Substitute r = l + 6 to u, which gives u = l + 36.\n6. Substitute l = 9 to u, which gives u = 45.\n\nThus, the final answer is u = \\boxed{45}.",
"index": 2814,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 9; g = r + 10; j = g + 1; v = x + 16; r = l + 6; u = i + 4; i = y + 1; y = j + 14; s = h + 11; x = a + 11; h = l + 13; a = f + 10; f = s + 4. If l = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 5", "j": "l + 15", "q": "j + 10", "z": "q + 17", "i": "z + 15", "y": "i + 18", "k": "u + 15", "d": "k + 9", "o": "d + 3", "v": "o + 17", "m": "v + 18", "a": "m + 6", "u": 3}, "premises": {"u": 3}, "target": "y"}, "answer": {"steps": [["i", "z + 15", "z + 33"], ["z", "q + 17", "q + 50"], ["q", "j + 10", "j + 60"], ["j", "l + 15", "l + 75"], ["l", "u + 5", "u + 80"], ["u", 3, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"u": 3}, "is_reverse": true}}
| 2,815
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 5; k = u + 15; u = 3; o = d + 3; d = k + 9; m = v + 18; a = m + 6; j = l + 15; i = z + 15; y = i + 18; z = q + 17; q = j + 10; v = o + 17. Given that u = 3, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 15 to y, which gives y = z + 33.\n2. Substitute z = q + 17 to y, which gives y = q + 50.\n3. Substitute q = j + 10 to y, which gives y = j + 60.\n4. Substitute j = l + 15 to y, which gives y = l + 75.\n5. Substitute l = u + 5 to y, which gives y = u + 80.\n6. Substitute u = 3 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 2815,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 5; k = u + 15; u = 3; o = d + 3; d = k + 9; m = v + 18; a = m + 6; j = l + 15; i = z + 15; y = i + 18; z = q + 17; q = j + 10; v = o + 17. Given that u = 3, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"i": "c + 10", "j": "i + 8", "h": "j + 18", "x": "h + 2", "o": "x + 2", "t": "o + 8", "v": "c + 1", "u": "v + 16", "r": "u + 19", "e": "r + 18", "w": "e + 17", "y": "w + 3", "c": 19}, "premises": {"c": 19}, "target": "t"}, "answer": {"steps": [["o", "x + 2", "x + 10"], ["x", "h + 2", "h + 12"], ["h", "j + 18", "j + 30"], ["j", "i + 8", "i + 38"], ["i", "c + 10", "c + 48"], ["c", 19, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"c": 19}, "is_reverse": true}}
| 2,816
| 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 = 19; v = c + 1; r = u + 19; h = j + 18; t = o + 8; y = w + 3; u = v + 16; w = e + 17; x = h + 2; i = c + 10; e = r + 18; o = x + 2; j = i + 8. If c = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 2 to t, which gives t = x + 10.\n2. Substitute x = h + 2 to t, which gives t = h + 12.\n3. Substitute h = j + 18 to t, which gives t = j + 30.\n4. Substitute j = i + 8 to t, which gives t = i + 38.\n5. Substitute i = c + 10 to t, which gives t = c + 48.\n6. Substitute c = 19 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 2816,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 19; v = c + 1; r = u + 19; h = j + 18; t = o + 8; y = w + 3; u = v + 16; w = e + 17; x = h + 2; i = c + 10; e = r + 18; o = x + 2; j = i + 8. If c = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 19", "t": "z + 14", "n": "t + 4", "j": "n + 19", "q": "j + 18", "m": "q + 8", "w": "y + 18", "x": "w + 1", "a": "x + 3", "p": "a + 3", "v": "p + 13", "u": "v + 10", "y": 20}, "premises": {"y": 20}, "target": "m"}, "answer": {"steps": [["q", "j + 18", "j + 26"], ["j", "n + 19", "n + 45"], ["n", "t + 4", "t + 49"], ["t", "z + 14", "z + 63"], ["z", "y + 19", "y + 82"], ["y", 20, "102"]], "target_var_name": "m", "target_value": 102, "value_dict": {"y": 20}, "is_reverse": true}}
| 2,817
| 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 + 8; t = z + 14; y = 20; q = j + 18; v = p + 13; p = a + 3; u = v + 10; w = y + 18; z = y + 19; x = w + 1; n = t + 4; j = n + 19; a = x + 3. If y = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 18 to m, which gives m = j + 26.\n2. Substitute j = n + 19 to m, which gives m = n + 45.\n3. Substitute n = t + 4 to m, which gives m = t + 49.\n4. Substitute t = z + 14 to m, which gives m = z + 63.\n5. Substitute z = y + 19 to m, which gives m = y + 82.\n6. Substitute y = 20 to m, which gives m = 102.\n\nThus, the final answer is m = \\boxed{102}.",
"index": 2817,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 8; t = z + 14; y = 20; q = j + 18; v = p + 13; p = a + 3; u = v + 10; w = y + 18; z = y + 19; x = w + 1; n = t + 4; j = n + 19; a = x + 3. If y = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 8", "t": "j + 12", "s": "t + 11", "g": "s + 9", "u": "g + 11", "f": "u + 19", "h": "y + 1", "d": "h + 8", "l": "d + 11", "k": "l + 14", "m": "k + 15", "r": "m + 17", "y": 15}, "premises": {"y": 15}, "target": "f"}, "answer": {"steps": [["u", "g + 11", "g + 30"], ["g", "s + 9", "s + 39"], ["s", "t + 11", "t + 50"], ["t", "j + 12", "j + 62"], ["j", "y + 8", "y + 70"], ["y", 15, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"y": 15}, "is_reverse": true}}
| 2,818
| 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 = m + 17; u = g + 11; f = u + 19; m = k + 15; g = s + 9; k = l + 14; y = 15; l = d + 11; t = j + 12; j = y + 8; h = y + 1; d = h + 8; s = t + 11. If y = 15, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 11 to f, which gives f = g + 30.\n2. Substitute g = s + 9 to f, which gives f = s + 39.\n3. Substitute s = t + 11 to f, which gives f = t + 50.\n4. Substitute t = j + 12 to f, which gives f = j + 62.\n5. Substitute j = y + 8 to f, which gives f = y + 70.\n6. Substitute y = 15 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 2818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 17; u = g + 11; f = u + 19; m = k + 15; g = s + 9; k = l + 14; y = 15; l = d + 11; t = j + 12; j = y + 8; h = y + 1; d = h + 8; s = t + 11. If y = 15, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 5", "c": "o + 17", "z": "c + 20", "m": "z + 17", "q": "m + 7", "p": "q + 2", "f": "e + 15", "j": "f + 17", "w": "j + 1", "h": "w + 7", "r": "h + 6", "v": "r + 9", "e": 18}, "premises": {"e": 18}, "target": "p"}, "answer": {"steps": [["q", "m + 7", "m + 9"], ["m", "z + 17", "z + 26"], ["z", "c + 20", "c + 46"], ["c", "o + 17", "o + 63"], ["o", "e + 5", "e + 68"], ["e", 18, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"e": 18}, "is_reverse": true}}
| 2,819
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 1; f = e + 15; c = o + 17; z = c + 20; h = w + 7; p = q + 2; m = z + 17; v = r + 9; j = f + 17; o = e + 5; e = 18; r = h + 6; q = m + 7. Given that e = 18, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 7 to p, which gives p = m + 9.\n2. Substitute m = z + 17 to p, which gives p = z + 26.\n3. Substitute z = c + 20 to p, which gives p = c + 46.\n4. Substitute c = o + 17 to p, which gives p = o + 63.\n5. Substitute o = e + 5 to p, which gives p = e + 68.\n6. Substitute e = 18 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 2819,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 1; f = e + 15; c = o + 17; z = c + 20; h = w + 7; p = q + 2; m = z + 17; v = r + 9; j = f + 17; o = e + 5; e = 18; r = h + 6; q = m + 7. Given that e = 18, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 14", "t": "a + 5", "d": "t + 2", "w": "d + 1", "e": "w + 19", "u": "e + 16", "n": "v + 18", "m": "n + 2", "r": "m + 15", "x": "r + 20", "j": "x + 13", "h": "j + 1", "v": 9}, "premises": {"v": 9}, "target": "u"}, "answer": {"steps": [["e", "w + 19", "w + 35"], ["w", "d + 1", "d + 36"], ["d", "t + 2", "t + 38"], ["t", "a + 5", "a + 43"], ["a", "v + 14", "v + 57"], ["v", 9, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"v": 9}, "is_reverse": true}}
| 2,820
| 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 + 14; d = t + 2; x = r + 20; v = 9; w = d + 1; m = n + 2; r = m + 15; n = v + 18; t = a + 5; e = w + 19; u = e + 16; j = x + 13; h = j + 1. If v = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 19 to u, which gives u = w + 35.\n2. Substitute w = d + 1 to u, which gives u = d + 36.\n3. Substitute d = t + 2 to u, which gives u = t + 38.\n4. Substitute t = a + 5 to u, which gives u = a + 43.\n5. Substitute a = v + 14 to u, which gives u = v + 57.\n6. Substitute v = 9 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 2820,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 14; d = t + 2; x = r + 20; v = 9; w = d + 1; m = n + 2; r = m + 15; n = v + 18; t = a + 5; e = w + 19; u = e + 16; j = x + 13; h = j + 1. If v = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 20", "b": "z + 13", "c": "b + 3", "n": "c + 4", "t": "n + 16", "e": "t + 8", "a": "v + 9", "d": "a + 9", "j": "d + 10", "f": "j + 13", "q": "f + 11", "m": "q + 16", "v": 12}, "premises": {"v": 12}, "target": "e"}, "answer": {"steps": [["t", "n + 16", "n + 24"], ["n", "c + 4", "c + 28"], ["c", "b + 3", "b + 31"], ["b", "z + 13", "z + 44"], ["z", "v + 20", "v + 64"], ["v", 12, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"v": 12}, "is_reverse": true}}
| 2,821
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 10; c = b + 3; b = z + 13; d = a + 9; t = n + 16; z = v + 20; n = c + 4; m = q + 16; v = 12; a = v + 9; f = j + 13; q = f + 11; e = t + 8. If v = 12, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 16 to e, which gives e = n + 24.\n2. Substitute n = c + 4 to e, which gives e = c + 28.\n3. Substitute c = b + 3 to e, which gives e = b + 31.\n4. Substitute b = z + 13 to e, which gives e = z + 44.\n5. Substitute z = v + 20 to e, which gives e = v + 64.\n6. Substitute v = 12 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 2821,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 10; c = b + 3; b = z + 13; d = a + 9; t = n + 16; z = v + 20; n = c + 4; m = q + 16; v = 12; a = v + 9; f = j + 13; q = f + 11; e = t + 8. If v = 12, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 13", "p": "y + 15", "o": "p + 12", "a": "o + 11", "s": "a + 3", "u": "s + 6", "d": "m + 14", "x": "d + 20", "b": "x + 3", "r": "b + 19", "z": "r + 15", "w": "z + 17", "m": 11}, "premises": {"m": 11}, "target": "u"}, "answer": {"steps": [["s", "a + 3", "a + 9"], ["a", "o + 11", "o + 20"], ["o", "p + 12", "p + 32"], ["p", "y + 15", "y + 47"], ["y", "m + 13", "m + 60"], ["m", 11, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"m": 11}, "is_reverse": true}}
| 2,822
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 11; u = s + 6; b = x + 3; a = o + 11; y = m + 13; s = a + 3; d = m + 14; r = b + 19; o = p + 12; w = z + 17; p = y + 15; z = r + 15; x = d + 20. If m = 11, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 3 to u, which gives u = a + 9.\n2. Substitute a = o + 11 to u, which gives u = o + 20.\n3. Substitute o = p + 12 to u, which gives u = p + 32.\n4. Substitute p = y + 15 to u, which gives u = y + 47.\n5. Substitute y = m + 13 to u, which gives u = m + 60.\n6. Substitute m = 11 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 2822,
"question": "Consider a system of variables where each variable is defined as follows: m = 11; u = s + 6; b = x + 3; a = o + 11; y = m + 13; s = a + 3; d = m + 14; r = b + 19; o = p + 12; w = z + 17; p = y + 15; z = r + 15; x = d + 20. If m = 11, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 8", "g": "f + 10", "s": "g + 7", "i": "s + 19", "p": "i + 1", "x": "p + 20", "t": "n + 1", "r": "t + 19", "b": "r + 3", "h": "b + 18", "u": "h + 3", "y": "u + 5", "n": 3}, "premises": {"n": 3}, "target": "x"}, "answer": {"steps": [["p", "i + 1", "i + 21"], ["i", "s + 19", "s + 40"], ["s", "g + 7", "g + 47"], ["g", "f + 10", "f + 57"], ["f", "n + 8", "n + 65"], ["n", 3, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"n": 3}, "is_reverse": true}}
| 2,823
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 3; f = n + 8; h = b + 18; u = h + 3; i = s + 19; p = i + 1; x = p + 20; g = f + 10; s = g + 7; r = t + 19; y = u + 5; t = n + 1; n = 3. Given that n = 3, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 1 to x, which gives x = i + 21.\n2. Substitute i = s + 19 to x, which gives x = s + 40.\n3. Substitute s = g + 7 to x, which gives x = g + 47.\n4. Substitute g = f + 10 to x, which gives x = f + 57.\n5. Substitute f = n + 8 to x, which gives x = n + 65.\n6. Substitute n = 3 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 2823,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 3; f = n + 8; h = b + 18; u = h + 3; i = s + 19; p = i + 1; x = p + 20; g = f + 10; s = g + 7; r = t + 19; y = u + 5; t = n + 1; n = 3. Given that n = 3, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 16", "r": "z + 10", "i": "r + 1", "d": "i + 17", "v": "d + 9", "p": "v + 3", "x": "c + 1", "u": "x + 20", "f": "u + 14", "w": "f + 1", "y": "w + 4", "n": "y + 6", "c": 16}, "premises": {"c": 16}, "target": "p"}, "answer": {"steps": [["v", "d + 9", "d + 12"], ["d", "i + 17", "i + 29"], ["i", "r + 1", "r + 30"], ["r", "z + 10", "z + 40"], ["z", "c + 16", "c + 56"], ["c", 16, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"c": 16}, "is_reverse": true}}
| 2,824
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 1; u = x + 20; i = r + 1; x = c + 1; n = y + 6; r = z + 10; v = d + 9; c = 16; d = i + 17; f = u + 14; y = w + 4; p = v + 3; z = c + 16. If c = 16, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 9 to p, which gives p = d + 12.\n2. Substitute d = i + 17 to p, which gives p = i + 29.\n3. Substitute i = r + 1 to p, which gives p = r + 30.\n4. Substitute r = z + 10 to p, which gives p = z + 40.\n5. Substitute z = c + 16 to p, which gives p = c + 56.\n6. Substitute c = 16 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 2824,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 1; u = x + 20; i = r + 1; x = c + 1; n = y + 6; r = z + 10; v = d + 9; c = 16; d = i + 17; f = u + 14; y = w + 4; p = v + 3; z = c + 16. If c = 16, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 12", "w": "h + 18", "m": "w + 3", "i": "m + 10", "l": "i + 5", "y": "l + 9", "r": "a + 11", "n": "r + 15", "k": "n + 11", "p": "k + 3", "c": "p + 9", "s": "c + 4", "a": 12}, "premises": {"a": 12}, "target": "y"}, "answer": {"steps": [["l", "i + 5", "i + 14"], ["i", "m + 10", "m + 24"], ["m", "w + 3", "w + 27"], ["w", "h + 18", "h + 45"], ["h", "a + 12", "a + 57"], ["a", 12, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"a": 12}, "is_reverse": true}}
| 2,825
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = 12; l = i + 5; n = r + 15; h = a + 12; m = w + 3; i = m + 10; y = l + 9; k = n + 11; p = k + 3; c = p + 9; r = a + 11; s = c + 4; w = h + 18. If a = 12, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 5 to y, which gives y = i + 14.\n2. Substitute i = m + 10 to y, which gives y = m + 24.\n3. Substitute m = w + 3 to y, which gives y = w + 27.\n4. Substitute w = h + 18 to y, which gives y = h + 45.\n5. Substitute h = a + 12 to y, which gives y = a + 57.\n6. Substitute a = 12 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 2825,
"question": "Consider a system of variables where each variable is defined as follows: a = 12; l = i + 5; n = r + 15; h = a + 12; m = w + 3; i = m + 10; y = l + 9; k = n + 11; p = k + 3; c = p + 9; r = a + 11; s = c + 4; w = h + 18. If a = 12, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 3", "x": "f + 13", "a": "x + 10", "i": "a + 19", "t": "i + 3", "d": "t + 6", "u": "g + 14", "m": "u + 17", "s": "m + 16", "w": "s + 12", "b": "w + 19", "j": "b + 13", "g": 8}, "premises": {"g": 8}, "target": "d"}, "answer": {"steps": [["t", "i + 3", "i + 9"], ["i", "a + 19", "a + 28"], ["a", "x + 10", "x + 38"], ["x", "f + 13", "f + 51"], ["f", "g + 3", "g + 54"], ["g", 8, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"g": 8}, "is_reverse": true}}
| 2,826
| 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 = w + 19; d = t + 6; g = 8; t = i + 3; s = m + 16; u = g + 14; i = a + 19; j = b + 13; w = s + 12; m = u + 17; f = g + 3; x = f + 13; a = x + 10. If g = 8, 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 t = i + 3 to d, which gives d = i + 9.\n2. Substitute i = a + 19 to d, which gives d = a + 28.\n3. Substitute a = x + 10 to d, which gives d = x + 38.\n4. Substitute x = f + 13 to d, which gives d = f + 51.\n5. Substitute f = g + 3 to d, which gives d = g + 54.\n6. Substitute g = 8 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 2826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 19; d = t + 6; g = 8; t = i + 3; s = m + 16; u = g + 14; i = a + 19; j = b + 13; w = s + 12; m = u + 17; f = g + 3; x = f + 13; a = x + 10. If g = 8, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 13", "d": "b + 11", "n": "d + 2", "w": "n + 16", "r": "w + 19", "q": "r + 8", "m": "x + 10", "y": "m + 15", "j": "y + 13", "f": "j + 6", "l": "f + 4", "k": "l + 18", "x": 5}, "premises": {"x": 5}, "target": "q"}, "answer": {"steps": [["r", "w + 19", "w + 27"], ["w", "n + 16", "n + 43"], ["n", "d + 2", "d + 45"], ["d", "b + 11", "b + 56"], ["b", "x + 13", "x + 69"], ["x", 5, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"x": 5}, "is_reverse": true}}
| 2,827
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 19; k = l + 18; l = f + 4; j = y + 13; d = b + 11; m = x + 10; n = d + 2; b = x + 13; q = r + 8; x = 5; w = n + 16; f = j + 6; y = m + 15. If x = 5, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 19 to q, which gives q = w + 27.\n2. Substitute w = n + 16 to q, which gives q = n + 43.\n3. Substitute n = d + 2 to q, which gives q = d + 45.\n4. Substitute d = b + 11 to q, which gives q = b + 56.\n5. Substitute b = x + 13 to q, which gives q = x + 69.\n6. Substitute x = 5 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 2827,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 19; k = l + 18; l = f + 4; j = y + 13; d = b + 11; m = x + 10; n = d + 2; b = x + 13; q = r + 8; x = 5; w = n + 16; f = j + 6; y = m + 15. If x = 5, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 7", "g": "b + 17", "i": "g + 19", "p": "i + 11", "f": "p + 18", "d": "f + 14", "o": "e + 18", "t": "o + 17", "z": "t + 16", "v": "z + 7", "c": "v + 3", "l": "c + 6", "e": 4}, "premises": {"e": 4}, "target": "d"}, "answer": {"steps": [["f", "p + 18", "p + 32"], ["p", "i + 11", "i + 43"], ["i", "g + 19", "g + 62"], ["g", "b + 17", "b + 79"], ["b", "e + 7", "e + 86"], ["e", 4, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"e": 4}, "is_reverse": true}}
| 2,828
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = e + 18; v = z + 7; b = e + 7; g = b + 17; t = o + 17; p = i + 11; d = f + 14; c = v + 3; i = g + 19; z = t + 16; f = p + 18; e = 4; l = c + 6. Given that e = 4, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 18 to d, which gives d = p + 32.\n2. Substitute p = i + 11 to d, which gives d = i + 43.\n3. Substitute i = g + 19 to d, which gives d = g + 62.\n4. Substitute g = b + 17 to d, which gives d = b + 79.\n5. Substitute b = e + 7 to d, which gives d = e + 86.\n6. Substitute e = 4 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 2828,
"question": "Suppose a collection of variables is related by the following definitions: o = e + 18; v = z + 7; b = e + 7; g = b + 17; t = o + 17; p = i + 11; d = f + 14; c = v + 3; i = g + 19; z = t + 16; f = p + 18; e = 4; l = c + 6. Given that e = 4, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 15", "e": "t + 12", "r": "e + 7", "z": "r + 5", "y": "z + 16", "f": "y + 10", "i": "h + 10", "a": "i + 1", "k": "a + 10", "b": "k + 10", "l": "b + 9", "q": "l + 14", "h": 3}, "premises": {"h": 3}, "target": "f"}, "answer": {"steps": [["y", "z + 16", "z + 26"], ["z", "r + 5", "r + 31"], ["r", "e + 7", "e + 38"], ["e", "t + 12", "t + 50"], ["t", "h + 15", "h + 65"], ["h", 3, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"h": 3}, "is_reverse": true}}
| 2,829
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 7; b = k + 10; z = r + 5; h = 3; q = l + 14; a = i + 1; y = z + 16; t = h + 15; i = h + 10; k = a + 10; f = y + 10; e = t + 12; l = b + 9. Given that h = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 16 to f, which gives f = z + 26.\n2. Substitute z = r + 5 to f, which gives f = r + 31.\n3. Substitute r = e + 7 to f, which gives f = e + 38.\n4. Substitute e = t + 12 to f, which gives f = t + 50.\n5. Substitute t = h + 15 to f, which gives f = h + 65.\n6. Substitute h = 3 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 2829,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 7; b = k + 10; z = r + 5; h = 3; q = l + 14; a = i + 1; y = z + 16; t = h + 15; i = h + 10; k = a + 10; f = y + 10; e = t + 12; l = b + 9. Given that h = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 19", "g": "b + 12", "w": "g + 8", "m": "w + 20", "f": "m + 4", "i": "f + 7", "e": "o + 14", "y": "e + 11", "s": "y + 20", "z": "s + 17", "a": "z + 2", "l": "a + 5", "o": 3}, "premises": {"o": 3}, "target": "i"}, "answer": {"steps": [["f", "m + 4", "m + 11"], ["m", "w + 20", "w + 31"], ["w", "g + 8", "g + 39"], ["g", "b + 12", "b + 51"], ["b", "o + 19", "o + 70"], ["o", 3, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"o": 3}, "is_reverse": true}}
| 2,830
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 3; e = o + 14; f = m + 4; g = b + 12; s = y + 20; z = s + 17; i = f + 7; a = z + 2; y = e + 11; w = g + 8; m = w + 20; l = a + 5; b = o + 19. If o = 3, determine the value of i.",
"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 + 4 to i, which gives i = m + 11.\n2. Substitute m = w + 20 to i, which gives i = w + 31.\n3. Substitute w = g + 8 to i, which gives i = g + 39.\n4. Substitute g = b + 12 to i, which gives i = b + 51.\n5. Substitute b = o + 19 to i, which gives i = o + 70.\n6. Substitute o = 3 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 2830,
"question": "Consider a system of variables where each variable is defined as follows: o = 3; e = o + 14; f = m + 4; g = b + 12; s = y + 20; z = s + 17; i = f + 7; a = z + 2; y = e + 11; w = g + 8; m = w + 20; l = a + 5; b = o + 19. If o = 3, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 8", "z": "u + 5", "b": "z + 6", "i": "b + 18", "k": "i + 17", "e": "k + 2", "o": "s + 19", "r": "o + 4", "t": "r + 14", "q": "t + 5", "l": "q + 1", "g": "l + 3", "s": 13}, "premises": {"s": 13}, "target": "e"}, "answer": {"steps": [["k", "i + 17", "i + 19"], ["i", "b + 18", "b + 37"], ["b", "z + 6", "z + 43"], ["z", "u + 5", "u + 48"], ["u", "s + 8", "s + 56"], ["s", 13, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"s": 13}, "is_reverse": true}}
| 2,831
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 6; k = i + 17; s = 13; o = s + 19; t = r + 14; r = o + 4; u = s + 8; i = b + 18; l = q + 1; g = l + 3; q = t + 5; e = k + 2; z = u + 5. If s = 13, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 17 to e, which gives e = i + 19.\n2. Substitute i = b + 18 to e, which gives e = b + 37.\n3. Substitute b = z + 6 to e, which gives e = z + 43.\n4. Substitute z = u + 5 to e, which gives e = u + 48.\n5. Substitute u = s + 8 to e, which gives e = s + 56.\n6. Substitute s = 13 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 2831,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 6; k = i + 17; s = 13; o = s + 19; t = r + 14; r = o + 4; u = s + 8; i = b + 18; l = q + 1; g = l + 3; q = t + 5; e = k + 2; z = u + 5. If s = 13, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 5", "r": "f + 3", "k": "r + 1", "p": "k + 2", "z": "p + 2", "v": "z + 2", "b": "h + 18", "g": "b + 7", "e": "g + 11", "a": "e + 6", "q": "a + 12", "m": "q + 20", "h": 18}, "premises": {"h": 18}, "target": "v"}, "answer": {"steps": [["z", "p + 2", "p + 4"], ["p", "k + 2", "k + 6"], ["k", "r + 1", "r + 7"], ["r", "f + 3", "f + 10"], ["f", "h + 5", "h + 15"], ["h", 18, "33"]], "target_var_name": "v", "target_value": 33, "value_dict": {"h": 18}, "is_reverse": true}}
| 2,832
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 11; q = a + 12; p = k + 2; r = f + 3; a = e + 6; v = z + 2; z = p + 2; b = h + 18; g = b + 7; f = h + 5; h = 18; m = q + 20; k = r + 1. If h = 18, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 33,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 2 to v, which gives v = p + 4.\n2. Substitute p = k + 2 to v, which gives v = k + 6.\n3. Substitute k = r + 1 to v, which gives v = r + 7.\n4. Substitute r = f + 3 to v, which gives v = f + 10.\n5. Substitute f = h + 5 to v, which gives v = h + 15.\n6. Substitute h = 18 to v, which gives v = 33.\n\nThus, the final answer is v = \\boxed{33}.",
"index": 2832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 11; q = a + 12; p = k + 2; r = f + 3; a = e + 6; v = z + 2; z = p + 2; b = h + 18; g = b + 7; f = h + 5; h = 18; m = q + 20; k = r + 1. If h = 18, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 1", "o": "r + 2", "i": "o + 19", "a": "i + 10", "q": "a + 9", "t": "q + 13", "j": "p + 3", "e": "j + 14", "m": "e + 11", "w": "m + 17", "f": "w + 5", "y": "f + 19", "p": 1}, "premises": {"p": 1}, "target": "t"}, "answer": {"steps": [["q", "a + 9", "a + 22"], ["a", "i + 10", "i + 32"], ["i", "o + 19", "o + 51"], ["o", "r + 2", "r + 53"], ["r", "p + 1", "p + 54"], ["p", 1, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"p": 1}, "is_reverse": true}}
| 2,833
| 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 = p + 3; r = p + 1; q = a + 9; a = i + 10; i = o + 19; p = 1; m = e + 11; e = j + 14; f = w + 5; w = m + 17; t = q + 13; y = f + 19; o = r + 2. If p = 1, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 9 to t, which gives t = a + 22.\n2. Substitute a = i + 10 to t, which gives t = i + 32.\n3. Substitute i = o + 19 to t, which gives t = o + 51.\n4. Substitute o = r + 2 to t, which gives t = r + 53.\n5. Substitute r = p + 1 to t, which gives t = p + 54.\n6. Substitute p = 1 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 2833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 3; r = p + 1; q = a + 9; a = i + 10; i = o + 19; p = 1; m = e + 11; e = j + 14; f = w + 5; w = m + 17; t = q + 13; y = f + 19; o = r + 2. If p = 1, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 9", "v": "n + 7", "s": "v + 7", "a": "s + 18", "k": "a + 6", "m": "k + 9", "w": "f + 18", "y": "w + 16", "p": "y + 11", "g": "p + 7", "z": "g + 4", "x": "z + 9", "f": 14}, "premises": {"f": 14}, "target": "m"}, "answer": {"steps": [["k", "a + 6", "a + 15"], ["a", "s + 18", "s + 33"], ["s", "v + 7", "v + 40"], ["v", "n + 7", "n + 47"], ["n", "f + 9", "f + 56"], ["f", 14, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"f": 14}, "is_reverse": true}}
| 2,834
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = y + 11; g = p + 7; v = n + 7; n = f + 9; k = a + 6; x = z + 9; f = 14; w = f + 18; z = g + 4; m = k + 9; s = v + 7; y = w + 16; a = s + 18. If f = 14, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 6 to m, which gives m = a + 15.\n2. Substitute a = s + 18 to m, which gives m = s + 33.\n3. Substitute s = v + 7 to m, which gives m = v + 40.\n4. Substitute v = n + 7 to m, which gives m = n + 47.\n5. Substitute n = f + 9 to m, which gives m = f + 56.\n6. Substitute f = 14 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 2834,
"question": "Consider a system of variables where each variable is defined as follows: p = y + 11; g = p + 7; v = n + 7; n = f + 9; k = a + 6; x = z + 9; f = 14; w = f + 18; z = g + 4; m = k + 9; s = v + 7; y = w + 16; a = s + 18. If f = 14, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 18", "u": "r + 1", "w": "u + 6", "f": "w + 12", "e": "f + 4", "y": "e + 19", "h": "g + 16", "n": "h + 18", "v": "n + 11", "k": "v + 2", "s": "k + 4", "a": "s + 6", "g": 4}, "premises": {"g": 4}, "target": "y"}, "answer": {"steps": [["e", "f + 4", "f + 23"], ["f", "w + 12", "w + 35"], ["w", "u + 6", "u + 41"], ["u", "r + 1", "r + 42"], ["r", "g + 18", "g + 60"], ["g", 4, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"g": 4}, "is_reverse": true}}
| 2,835
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = s + 6; n = h + 18; f = w + 12; v = n + 11; w = u + 6; e = f + 4; u = r + 1; y = e + 19; h = g + 16; s = k + 4; k = v + 2; g = 4; r = g + 18. If g = 4, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 4 to y, which gives y = f + 23.\n2. Substitute f = w + 12 to y, which gives y = w + 35.\n3. Substitute w = u + 6 to y, which gives y = u + 41.\n4. Substitute u = r + 1 to y, which gives y = r + 42.\n5. Substitute r = g + 18 to y, which gives y = g + 60.\n6. Substitute g = 4 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 2835,
"question": "Consider a system of variables where each variable is defined as follows: a = s + 6; n = h + 18; f = w + 12; v = n + 11; w = u + 6; e = f + 4; u = r + 1; y = e + 19; h = g + 16; s = k + 4; k = v + 2; g = 4; r = g + 18. If g = 4, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 6", "k": "z + 8", "a": "k + 13", "l": "a + 13", "e": "l + 15", "r": "e + 6", "v": "x + 18", "y": "v + 3", "b": "y + 13", "w": "b + 18", "p": "w + 8", "o": "p + 13", "x": 20}, "premises": {"x": 20}, "target": "r"}, "answer": {"steps": [["e", "l + 15", "l + 21"], ["l", "a + 13", "a + 34"], ["a", "k + 13", "k + 47"], ["k", "z + 8", "z + 55"], ["z", "x + 6", "x + 61"], ["x", 20, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"x": 20}, "is_reverse": true}}
| 2,836
| 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 = z + 8; l = a + 13; y = v + 3; a = k + 13; p = w + 8; w = b + 18; e = l + 15; r = e + 6; x = 20; v = x + 18; o = p + 13; z = x + 6; b = y + 13. If x = 20, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 15 to r, which gives r = l + 21.\n2. Substitute l = a + 13 to r, which gives r = a + 34.\n3. Substitute a = k + 13 to r, which gives r = k + 47.\n4. Substitute k = z + 8 to r, which gives r = z + 55.\n5. Substitute z = x + 6 to r, which gives r = x + 61.\n6. Substitute x = 20 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 2836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 8; l = a + 13; y = v + 3; a = k + 13; p = w + 8; w = b + 18; e = l + 15; r = e + 6; x = 20; v = x + 18; o = p + 13; z = x + 6; b = y + 13. If x = 20, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 2", "z": "x + 7", "r": "z + 1", "u": "r + 14", "f": "u + 18", "j": "f + 16", "g": "b + 18", "o": "g + 9", "h": "o + 11", "w": "h + 1", "d": "w + 2", "s": "d + 13", "b": 7}, "premises": {"b": 7}, "target": "j"}, "answer": {"steps": [["f", "u + 18", "u + 34"], ["u", "r + 14", "r + 48"], ["r", "z + 1", "z + 49"], ["z", "x + 7", "x + 56"], ["x", "b + 2", "b + 58"], ["b", 7, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"b": 7}, "is_reverse": true}}
| 2,837
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 7; g = b + 18; f = u + 18; b = 7; x = b + 2; u = r + 14; r = z + 1; h = o + 11; j = f + 16; s = d + 13; d = w + 2; o = g + 9; w = h + 1. If b = 7, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 18 to j, which gives j = u + 34.\n2. Substitute u = r + 14 to j, which gives j = r + 48.\n3. Substitute r = z + 1 to j, which gives j = z + 49.\n4. Substitute z = x + 7 to j, which gives j = x + 56.\n5. Substitute x = b + 2 to j, which gives j = b + 58.\n6. Substitute b = 7 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 2837,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 7; g = b + 18; f = u + 18; b = 7; x = b + 2; u = r + 14; r = z + 1; h = o + 11; j = f + 16; s = d + 13; d = w + 2; o = g + 9; w = h + 1. If b = 7, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 16", "x": "l + 17", "v": "x + 20", "q": "v + 6", "s": "q + 15", "k": "s + 5", "i": "n + 5", "t": "i + 15", "o": "t + 7", "g": "o + 18", "d": "g + 9", "u": "d + 3", "n": 17}, "premises": {"n": 17}, "target": "k"}, "answer": {"steps": [["s", "q + 15", "q + 20"], ["q", "v + 6", "v + 26"], ["v", "x + 20", "x + 46"], ["x", "l + 17", "l + 63"], ["l", "n + 16", "n + 79"], ["n", 17, "96"]], "target_var_name": "k", "target_value": 96, "value_dict": {"n": 17}, "is_reverse": true}}
| 2,838
| 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 = o + 18; i = n + 5; l = n + 16; s = q + 15; d = g + 9; t = i + 15; x = l + 17; u = d + 3; k = s + 5; o = t + 7; q = v + 6; n = 17; v = x + 20. If n = 17, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 15 to k, which gives k = q + 20.\n2. Substitute q = v + 6 to k, which gives k = v + 26.\n3. Substitute v = x + 20 to k, which gives k = x + 46.\n4. Substitute x = l + 17 to k, which gives k = l + 63.\n5. Substitute l = n + 16 to k, which gives k = n + 79.\n6. Substitute n = 17 to k, which gives k = 96.\n\nThus, the final answer is k = \\boxed{96}.",
"index": 2838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = o + 18; i = n + 5; l = n + 16; s = q + 15; d = g + 9; t = i + 15; x = l + 17; u = d + 3; k = s + 5; o = t + 7; q = v + 6; n = 17; v = x + 20. If n = 17, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 12", "i": "r + 1", "z": "i + 11", "d": "z + 5", "h": "d + 14", "m": "h + 20", "k": "a + 20", "p": "k + 14", "b": "p + 17", "y": "b + 16", "c": "y + 7", "n": "c + 17", "a": 10}, "premises": {"a": 10}, "target": "m"}, "answer": {"steps": [["h", "d + 14", "d + 34"], ["d", "z + 5", "z + 39"], ["z", "i + 11", "i + 50"], ["i", "r + 1", "r + 51"], ["r", "a + 12", "a + 63"], ["a", 10, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"a": 10}, "is_reverse": true}}
| 2,839
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 16; b = p + 17; h = d + 14; r = a + 12; i = r + 1; m = h + 20; z = i + 11; p = k + 14; k = a + 20; n = c + 17; a = 10; c = y + 7; d = z + 5. If a = 10, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 14 to m, which gives m = d + 34.\n2. Substitute d = z + 5 to m, which gives m = z + 39.\n3. Substitute z = i + 11 to m, which gives m = i + 50.\n4. Substitute i = r + 1 to m, which gives m = r + 51.\n5. Substitute r = a + 12 to m, which gives m = a + 63.\n6. Substitute a = 10 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 2839,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 16; b = p + 17; h = d + 14; r = a + 12; i = r + 1; m = h + 20; z = i + 11; p = k + 14; k = a + 20; n = c + 17; a = 10; c = y + 7; d = z + 5. If a = 10, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 13", "w": "h + 16", "m": "w + 20", "t": "m + 7", "j": "t + 2", "z": "j + 14", "s": "d + 10", "f": "s + 2", "e": "f + 20", "q": "e + 9", "r": "q + 11", "x": "r + 4", "d": 8}, "premises": {"d": 8}, "target": "z"}, "answer": {"steps": [["j", "t + 2", "t + 16"], ["t", "m + 7", "m + 23"], ["m", "w + 20", "w + 43"], ["w", "h + 16", "h + 59"], ["h", "d + 13", "d + 72"], ["d", 8, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"d": 8}, "is_reverse": true}}
| 2,840
| 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 = d + 10; j = t + 2; d = 8; h = d + 13; m = w + 20; r = q + 11; t = m + 7; e = f + 20; z = j + 14; q = e + 9; w = h + 16; f = s + 2; x = r + 4. If d = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 2 to z, which gives z = t + 16.\n2. Substitute t = m + 7 to z, which gives z = m + 23.\n3. Substitute m = w + 20 to z, which gives z = w + 43.\n4. Substitute w = h + 16 to z, which gives z = h + 59.\n5. Substitute h = d + 13 to z, which gives z = d + 72.\n6. Substitute d = 8 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 2840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 10; j = t + 2; d = 8; h = d + 13; m = w + 20; r = q + 11; t = m + 7; e = f + 20; z = j + 14; q = e + 9; w = h + 16; f = s + 2; x = r + 4. If d = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 11", "t": "z + 10", "r": "t + 4", "w": "r + 18", "a": "w + 4", "y": "a + 8", "b": "e + 10", "v": "b + 16", "n": "v + 2", "d": "n + 11", "m": "d + 13", "f": "m + 9", "e": 5}, "premises": {"e": 5}, "target": "y"}, "answer": {"steps": [["a", "w + 4", "w + 12"], ["w", "r + 18", "r + 30"], ["r", "t + 4", "t + 34"], ["t", "z + 10", "z + 44"], ["z", "e + 11", "e + 55"], ["e", 5, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"e": 5}, "is_reverse": true}}
| 2,841
| 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 + 9; e = 5; n = v + 2; y = a + 8; t = z + 10; w = r + 18; a = w + 4; m = d + 13; b = e + 10; r = t + 4; d = n + 11; z = e + 11; v = b + 16. If e = 5, what is the resulting 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 a = w + 4 to y, which gives y = w + 12.\n2. Substitute w = r + 18 to y, which gives y = r + 30.\n3. Substitute r = t + 4 to y, which gives y = t + 34.\n4. Substitute t = z + 10 to y, which gives y = z + 44.\n5. Substitute z = e + 11 to y, which gives y = e + 55.\n6. Substitute e = 5 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 2841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 9; e = 5; n = v + 2; y = a + 8; t = z + 10; w = r + 18; a = w + 4; m = d + 13; b = e + 10; r = t + 4; d = n + 11; z = e + 11; v = b + 16. If e = 5, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 14", "c": "v + 19", "a": "c + 15", "g": "a + 11", "j": "g + 4", "p": "j + 19", "l": "n + 7", "m": "l + 15", "s": "m + 3", "d": "s + 9", "f": "d + 8", "i": "f + 7", "n": 3}, "premises": {"n": 3}, "target": "p"}, "answer": {"steps": [["j", "g + 4", "g + 23"], ["g", "a + 11", "a + 34"], ["a", "c + 15", "c + 49"], ["c", "v + 19", "v + 68"], ["v", "n + 14", "n + 82"], ["n", 3, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"n": 3}, "is_reverse": true}}
| 2,842
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 7; a = c + 15; f = d + 8; d = s + 9; g = a + 11; i = f + 7; s = m + 3; c = v + 19; n = 3; v = n + 14; p = j + 19; m = l + 15; j = g + 4. Given that n = 3, 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 j = g + 4 to p, which gives p = g + 23.\n2. Substitute g = a + 11 to p, which gives p = a + 34.\n3. Substitute a = c + 15 to p, which gives p = c + 49.\n4. Substitute c = v + 19 to p, which gives p = v + 68.\n5. Substitute v = n + 14 to p, which gives p = n + 82.\n6. Substitute n = 3 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 2842,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 7; a = c + 15; f = d + 8; d = s + 9; g = a + 11; i = f + 7; s = m + 3; c = v + 19; n = 3; v = n + 14; p = j + 19; m = l + 15; j = g + 4. Given that n = 3, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 2", "t": "f + 15", "r": "t + 4", "d": "r + 4", "e": "d + 15", "s": "e + 11", "a": "o + 2", "y": "a + 12", "v": "y + 13", "l": "v + 10", "h": "l + 13", "c": "h + 20", "o": 1}, "premises": {"o": 1}, "target": "s"}, "answer": {"steps": [["e", "d + 15", "d + 26"], ["d", "r + 4", "r + 30"], ["r", "t + 4", "t + 34"], ["t", "f + 15", "f + 49"], ["f", "o + 2", "o + 51"], ["o", 1, "52"]], "target_var_name": "s", "target_value": 52, "value_dict": {"o": 1}, "is_reverse": true}}
| 2,843
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 2; t = f + 15; v = y + 13; y = a + 12; a = o + 2; e = d + 15; l = v + 10; h = l + 13; d = r + 4; r = t + 4; c = h + 20; s = e + 11; o = 1. Given that o = 1, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 15 to s, which gives s = d + 26.\n2. Substitute d = r + 4 to s, which gives s = r + 30.\n3. Substitute r = t + 4 to s, which gives s = t + 34.\n4. Substitute t = f + 15 to s, which gives s = f + 49.\n5. Substitute f = o + 2 to s, which gives s = o + 51.\n6. Substitute o = 1 to s, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 2843,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 2; t = f + 15; v = y + 13; y = a + 12; a = o + 2; e = d + 15; l = v + 10; h = l + 13; d = r + 4; r = t + 4; c = h + 20; s = e + 11; o = 1. Given that o = 1, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 18", "p": "n + 8", "e": "p + 10", "c": "e + 16", "u": "c + 6", "j": "u + 19", "w": "r + 2", "b": "w + 19", "t": "b + 6", "o": "t + 6", "i": "o + 13", "d": "i + 17", "r": 18}, "premises": {"r": 18}, "target": "j"}, "answer": {"steps": [["u", "c + 6", "c + 25"], ["c", "e + 16", "e + 41"], ["e", "p + 10", "p + 51"], ["p", "n + 8", "n + 59"], ["n", "r + 18", "r + 77"], ["r", 18, "95"]], "target_var_name": "j", "target_value": 95, "value_dict": {"r": 18}, "is_reverse": true}}
| 2,844
| 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 = 18; e = p + 10; w = r + 2; u = c + 6; j = u + 19; c = e + 16; p = n + 8; i = o + 13; o = t + 6; t = b + 6; n = r + 18; b = w + 19; d = i + 17. If r = 18, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 6 to j, which gives j = c + 25.\n2. Substitute c = e + 16 to j, which gives j = e + 41.\n3. Substitute e = p + 10 to j, which gives j = p + 51.\n4. Substitute p = n + 8 to j, which gives j = n + 59.\n5. Substitute n = r + 18 to j, which gives j = r + 77.\n6. Substitute r = 18 to j, which gives j = 95.\n\nThus, the final answer is j = \\boxed{95}.",
"index": 2844,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 18; e = p + 10; w = r + 2; u = c + 6; j = u + 19; c = e + 16; p = n + 8; i = o + 13; o = t + 6; t = b + 6; n = r + 18; b = w + 19; d = i + 17. If r = 18, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 8", "q": "o + 15", "b": "q + 19", "x": "b + 2", "g": "x + 18", "m": "g + 9", "u": "k + 14", "f": "u + 11", "w": "f + 10", "s": "w + 15", "r": "s + 20", "z": "r + 2", "k": 5}, "premises": {"k": 5}, "target": "m"}, "answer": {"steps": [["g", "x + 18", "x + 27"], ["x", "b + 2", "b + 29"], ["b", "q + 19", "q + 48"], ["q", "o + 15", "o + 63"], ["o", "k + 8", "k + 71"], ["k", 5, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"k": 5}, "is_reverse": true}}
| 2,845
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 5; b = q + 19; o = k + 8; z = r + 2; q = o + 15; r = s + 20; m = g + 9; g = x + 18; u = k + 14; s = w + 15; f = u + 11; w = f + 10; x = b + 2. Given that k = 5, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 18 to m, which gives m = x + 27.\n2. Substitute x = b + 2 to m, which gives m = b + 29.\n3. Substitute b = q + 19 to m, which gives m = q + 48.\n4. Substitute q = o + 15 to m, which gives m = o + 63.\n5. Substitute o = k + 8 to m, which gives m = k + 71.\n6. Substitute k = 5 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 2845,
"question": "Suppose a collection of variables is related by the following definitions: k = 5; b = q + 19; o = k + 8; z = r + 2; q = o + 15; r = s + 20; m = g + 9; g = x + 18; u = k + 14; s = w + 15; f = u + 11; w = f + 10; x = b + 2. Given that k = 5, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"z": "l + 16", "h": "z + 10", "m": "h + 15", "r": "m + 10", "e": "r + 7", "a": "e + 17", "v": "l + 4", "q": "v + 1", "k": "q + 14", "o": "k + 20", "f": "o + 6", "u": "f + 7", "l": 7}, "premises": {"l": 7}, "target": "a"}, "answer": {"steps": [["e", "r + 7", "r + 24"], ["r", "m + 10", "m + 34"], ["m", "h + 15", "h + 49"], ["h", "z + 10", "z + 59"], ["z", "l + 16", "l + 75"], ["l", 7, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"l": 7}, "is_reverse": true}}
| 2,846
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 10; m = h + 15; u = f + 7; z = l + 16; o = k + 20; q = v + 1; k = q + 14; r = m + 10; l = 7; f = o + 6; v = l + 4; e = r + 7; a = e + 17. Given that l = 7, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 7 to a, which gives a = r + 24.\n2. Substitute r = m + 10 to a, which gives a = m + 34.\n3. Substitute m = h + 15 to a, which gives a = h + 49.\n4. Substitute h = z + 10 to a, which gives a = z + 59.\n5. Substitute z = l + 16 to a, which gives a = l + 75.\n6. Substitute l = 7 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 2846,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 10; m = h + 15; u = f + 7; z = l + 16; o = k + 20; q = v + 1; k = q + 14; r = m + 10; l = 7; f = o + 6; v = l + 4; e = r + 7; a = e + 17. Given that l = 7, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 16", "q": "e + 6", "w": "q + 18", "p": "w + 12", "j": "p + 14", "z": "j + 3", "u": "i + 10", "l": "u + 20", "y": "l + 17", "a": "y + 12", "n": "a + 2", "t": "n + 11", "i": 2}, "premises": {"i": 2}, "target": "z"}, "answer": {"steps": [["j", "p + 14", "p + 17"], ["p", "w + 12", "w + 29"], ["w", "q + 18", "q + 47"], ["q", "e + 6", "e + 53"], ["e", "i + 16", "i + 69"], ["i", 2, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"i": 2}, "is_reverse": true}}
| 2,847
| 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 = 2; y = l + 17; a = y + 12; t = n + 11; q = e + 6; w = q + 18; n = a + 2; e = i + 16; u = i + 10; j = p + 14; p = w + 12; l = u + 20; z = j + 3. If i = 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 j = p + 14 to z, which gives z = p + 17.\n2. Substitute p = w + 12 to z, which gives z = w + 29.\n3. Substitute w = q + 18 to z, which gives z = q + 47.\n4. Substitute q = e + 6 to z, which gives z = e + 53.\n5. Substitute e = i + 16 to z, which gives z = i + 69.\n6. Substitute i = 2 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 2847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 2; y = l + 17; a = y + 12; t = n + 11; q = e + 6; w = q + 18; n = a + 2; e = i + 16; u = i + 10; j = p + 14; p = w + 12; l = u + 20; z = j + 3. If i = 2, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 7", "p": "t + 8", "s": "p + 17", "i": "s + 15", "n": "i + 13", "c": "n + 17", "d": "x + 20", "u": "d + 15", "y": "u + 12", "k": "y + 14", "f": "k + 16", "o": "f + 12", "x": 6}, "premises": {"x": 6}, "target": "c"}, "answer": {"steps": [["n", "i + 13", "i + 30"], ["i", "s + 15", "s + 45"], ["s", "p + 17", "p + 62"], ["p", "t + 8", "t + 70"], ["t", "x + 7", "x + 77"], ["x", 6, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"x": 6}, "is_reverse": true}}
| 2,848
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = 6; i = s + 15; o = f + 12; k = y + 14; y = u + 12; t = x + 7; c = n + 17; s = p + 17; f = k + 16; u = d + 15; d = x + 20; n = i + 13; p = t + 8. Given that x = 6, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 13 to c, which gives c = i + 30.\n2. Substitute i = s + 15 to c, which gives c = s + 45.\n3. Substitute s = p + 17 to c, which gives c = p + 62.\n4. Substitute p = t + 8 to c, which gives c = t + 70.\n5. Substitute t = x + 7 to c, which gives c = x + 77.\n6. Substitute x = 6 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 2848,
"question": "Suppose a collection of variables is related by the following definitions: x = 6; i = s + 15; o = f + 12; k = y + 14; y = u + 12; t = x + 7; c = n + 17; s = p + 17; f = k + 16; u = d + 15; d = x + 20; n = i + 13; p = t + 8. Given that x = 6, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"t": "m + 13", "a": "t + 4", "l": "a + 19", "e": "l + 15", "d": "e + 10", "g": "d + 17", "q": "m + 19", "s": "q + 3", "p": "s + 17", "v": "p + 2", "i": "v + 4", "x": "i + 2", "m": 7}, "premises": {"m": 7}, "target": "g"}, "answer": {"steps": [["d", "e + 10", "e + 27"], ["e", "l + 15", "l + 42"], ["l", "a + 19", "a + 61"], ["a", "t + 4", "t + 65"], ["t", "m + 13", "m + 78"], ["m", 7, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"m": 7}, "is_reverse": true}}
| 2,849
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 19; s = q + 3; t = m + 13; d = e + 10; v = p + 2; p = s + 17; i = v + 4; g = d + 17; e = l + 15; q = m + 19; x = i + 2; m = 7; a = t + 4. If m = 7, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 10 to g, which gives g = e + 27.\n2. Substitute e = l + 15 to g, which gives g = l + 42.\n3. Substitute l = a + 19 to g, which gives g = a + 61.\n4. Substitute a = t + 4 to g, which gives g = t + 65.\n5. Substitute t = m + 13 to g, which gives g = m + 78.\n6. Substitute m = 7 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 2849,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 19; s = q + 3; t = m + 13; d = e + 10; v = p + 2; p = s + 17; i = v + 4; g = d + 17; e = l + 15; q = m + 19; x = i + 2; m = 7; a = t + 4. If m = 7, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 6", "m": "p + 7", "q": "m + 16", "x": "q + 14", "r": "x + 5", "d": "r + 1", "f": "w + 17", "g": "f + 4", "j": "g + 15", "c": "j + 6", "k": "c + 5", "a": "k + 8", "w": 13}, "premises": {"w": 13}, "target": "d"}, "answer": {"steps": [["r", "x + 5", "x + 6"], ["x", "q + 14", "q + 20"], ["q", "m + 16", "m + 36"], ["m", "p + 7", "p + 43"], ["p", "w + 6", "w + 49"], ["w", 13, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"w": 13}, "is_reverse": true}}
| 2,850
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 15; m = p + 7; x = q + 14; r = x + 5; q = m + 16; f = w + 17; c = j + 6; k = c + 5; p = w + 6; w = 13; a = k + 8; d = r + 1; g = f + 4. If w = 13, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 5 to d, which gives d = x + 6.\n2. Substitute x = q + 14 to d, which gives d = q + 20.\n3. Substitute q = m + 16 to d, which gives d = m + 36.\n4. Substitute m = p + 7 to d, which gives d = p + 43.\n5. Substitute p = w + 6 to d, which gives d = w + 49.\n6. Substitute w = 13 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 2850,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 15; m = p + 7; x = q + 14; r = x + 5; q = m + 16; f = w + 17; c = j + 6; k = c + 5; p = w + 6; w = 13; a = k + 8; d = r + 1; g = f + 4. If w = 13, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 8", "o": "p + 7", "y": "o + 18", "a": "y + 17", "g": "a + 8", "l": "g + 14", "q": "d + 19", "c": "q + 20", "s": "c + 17", "m": "s + 7", "h": "m + 20", "t": "h + 16", "d": 2}, "premises": {"d": 2}, "target": "l"}, "answer": {"steps": [["g", "a + 8", "a + 22"], ["a", "y + 17", "y + 39"], ["y", "o + 18", "o + 57"], ["o", "p + 7", "p + 64"], ["p", "d + 8", "d + 72"], ["d", 2, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"d": 2}, "is_reverse": true}}
| 2,851
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 20; q = d + 19; l = g + 14; y = o + 18; o = p + 7; a = y + 17; g = a + 8; t = h + 16; m = s + 7; s = c + 17; d = 2; h = m + 20; p = d + 8. If d = 2, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 8 to l, which gives l = a + 22.\n2. Substitute a = y + 17 to l, which gives l = y + 39.\n3. Substitute y = o + 18 to l, which gives l = o + 57.\n4. Substitute o = p + 7 to l, which gives l = p + 64.\n5. Substitute p = d + 8 to l, which gives l = d + 72.\n6. Substitute d = 2 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 2851,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 20; q = d + 19; l = g + 14; y = o + 18; o = p + 7; a = y + 17; g = a + 8; t = h + 16; m = s + 7; s = c + 17; d = 2; h = m + 20; p = d + 8. If d = 2, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 6", "l": "d + 14", "c": "l + 10", "j": "c + 16", "s": "j + 2", "z": "s + 12", "g": "v + 5", "m": "g + 5", "a": "m + 16", "f": "a + 10", "r": "f + 18", "i": "r + 12", "v": 7}, "premises": {"v": 7}, "target": "z"}, "answer": {"steps": [["s", "j + 2", "j + 14"], ["j", "c + 16", "c + 30"], ["c", "l + 10", "l + 40"], ["l", "d + 14", "d + 54"], ["d", "v + 6", "v + 60"], ["v", 7, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"v": 7}, "is_reverse": true}}
| 2,852
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 10; j = c + 16; a = m + 16; i = r + 12; m = g + 5; r = f + 18; s = j + 2; v = 7; z = s + 12; d = v + 6; g = v + 5; l = d + 14; f = a + 10. If v = 7, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 2 to z, which gives z = j + 14.\n2. Substitute j = c + 16 to z, which gives z = c + 30.\n3. Substitute c = l + 10 to z, which gives z = l + 40.\n4. Substitute l = d + 14 to z, which gives z = d + 54.\n5. Substitute d = v + 6 to z, which gives z = v + 60.\n6. Substitute v = 7 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 2852,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 10; j = c + 16; a = m + 16; i = r + 12; m = g + 5; r = f + 18; s = j + 2; v = 7; z = s + 12; d = v + 6; g = v + 5; l = d + 14; f = a + 10. If v = 7, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 7", "i": "v + 3", "f": "i + 13", "n": "f + 3", "p": "n + 6", "x": "p + 7", "j": "a + 15", "z": "j + 5", "t": "z + 6", "l": "t + 13", "e": "l + 11", "k": "e + 14", "a": 17}, "premises": {"a": 17}, "target": "x"}, "answer": {"steps": [["p", "n + 6", "n + 13"], ["n", "f + 3", "f + 16"], ["f", "i + 13", "i + 29"], ["i", "v + 3", "v + 32"], ["v", "a + 7", "a + 39"], ["a", 17, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"a": 17}, "is_reverse": true}}
| 2,853
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 15; z = j + 5; p = n + 6; t = z + 6; f = i + 13; e = l + 11; l = t + 13; i = v + 3; x = p + 7; v = a + 7; a = 17; k = e + 14; n = f + 3. If a = 17, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 6 to x, which gives x = n + 13.\n2. Substitute n = f + 3 to x, which gives x = f + 16.\n3. Substitute f = i + 13 to x, which gives x = i + 29.\n4. Substitute i = v + 3 to x, which gives x = v + 32.\n5. Substitute v = a + 7 to x, which gives x = a + 39.\n6. Substitute a = 17 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 2853,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 15; z = j + 5; p = n + 6; t = z + 6; f = i + 13; e = l + 11; l = t + 13; i = v + 3; x = p + 7; v = a + 7; a = 17; k = e + 14; n = f + 3. If a = 17, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 8", "o": "f + 2", "p": "o + 3", "w": "p + 2", "r": "w + 17", "c": "r + 4", "q": "l + 19", "v": "q + 8", "e": "v + 8", "u": "e + 9", "g": "u + 7", "j": "g + 13", "l": 16}, "premises": {"l": 16}, "target": "c"}, "answer": {"steps": [["r", "w + 17", "w + 21"], ["w", "p + 2", "p + 23"], ["p", "o + 3", "o + 26"], ["o", "f + 2", "f + 28"], ["f", "l + 8", "l + 36"], ["l", 16, "52"]], "target_var_name": "c", "target_value": 52, "value_dict": {"l": 16}, "is_reverse": true}}
| 2,854
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 8; q = l + 19; c = r + 4; l = 16; j = g + 13; u = e + 9; w = p + 2; v = q + 8; p = o + 3; o = f + 2; g = u + 7; e = v + 8; r = w + 17. Given that l = 16, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 17 to c, which gives c = w + 21.\n2. Substitute w = p + 2 to c, which gives c = p + 23.\n3. Substitute p = o + 3 to c, which gives c = o + 26.\n4. Substitute o = f + 2 to c, which gives c = f + 28.\n5. Substitute f = l + 8 to c, which gives c = l + 36.\n6. Substitute l = 16 to c, which gives c = 52.\n\nThus, the final answer is c = \\boxed{52}.",
"index": 2854,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 8; q = l + 19; c = r + 4; l = 16; j = g + 13; u = e + 9; w = p + 2; v = q + 8; p = o + 3; o = f + 2; g = u + 7; e = v + 8; r = w + 17. Given that l = 16, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 18", "t": "g + 15", "d": "t + 3", "w": "d + 4", "y": "w + 16", "b": "y + 1", "m": "i + 11", "v": "m + 11", "a": "v + 19", "n": "a + 10", "o": "n + 10", "f": "o + 9", "i": 6}, "premises": {"i": 6}, "target": "b"}, "answer": {"steps": [["y", "w + 16", "w + 17"], ["w", "d + 4", "d + 21"], ["d", "t + 3", "t + 24"], ["t", "g + 15", "g + 39"], ["g", "i + 18", "i + 57"], ["i", 6, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"i": 6}, "is_reverse": true}}
| 2,855
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 11; t = g + 15; o = n + 10; f = o + 9; n = a + 10; w = d + 4; v = m + 11; a = v + 19; i = 6; g = i + 18; y = w + 16; b = y + 1; d = t + 3. Given that i = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 16 to b, which gives b = w + 17.\n2. Substitute w = d + 4 to b, which gives b = d + 21.\n3. Substitute d = t + 3 to b, which gives b = t + 24.\n4. Substitute t = g + 15 to b, which gives b = g + 39.\n5. Substitute g = i + 18 to b, which gives b = i + 57.\n6. Substitute i = 6 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 2855,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 11; t = g + 15; o = n + 10; f = o + 9; n = a + 10; w = d + 4; v = m + 11; a = v + 19; i = 6; g = i + 18; y = w + 16; b = y + 1; d = t + 3. Given that i = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 6", "e": "x + 17", "r": "e + 15", "z": "r + 15", "u": "z + 3", "n": "u + 10", "c": "q + 14", "f": "c + 19", "v": "f + 8", "h": "v + 12", "i": "h + 15", "o": "i + 3", "q": 15}, "premises": {"q": 15}, "target": "n"}, "answer": {"steps": [["u", "z + 3", "z + 13"], ["z", "r + 15", "r + 28"], ["r", "e + 15", "e + 43"], ["e", "x + 17", "x + 60"], ["x", "q + 6", "q + 66"], ["q", 15, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"q": 15}, "is_reverse": true}}
| 2,856
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 10; o = i + 3; q = 15; v = f + 8; i = h + 15; f = c + 19; u = z + 3; h = v + 12; e = x + 17; r = e + 15; z = r + 15; c = q + 14; x = q + 6. Given that q = 15, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 3 to n, which gives n = z + 13.\n2. Substitute z = r + 15 to n, which gives n = r + 28.\n3. Substitute r = e + 15 to n, which gives n = e + 43.\n4. Substitute e = x + 17 to n, which gives n = x + 60.\n5. Substitute x = q + 6 to n, which gives n = q + 66.\n6. Substitute q = 15 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 2856,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 10; o = i + 3; q = 15; v = f + 8; i = h + 15; f = c + 19; u = z + 3; h = v + 12; e = x + 17; r = e + 15; z = r + 15; c = q + 14; x = q + 6. Given that q = 15, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 13", "z": "x + 19", "g": "z + 10", "u": "g + 15", "b": "u + 3", "d": "b + 4", "o": "m + 3", "f": "o + 16", "h": "f + 19", "r": "h + 7", "y": "r + 4", "w": "y + 7", "m": 9}, "premises": {"m": 9}, "target": "d"}, "answer": {"steps": [["b", "u + 3", "u + 7"], ["u", "g + 15", "g + 22"], ["g", "z + 10", "z + 32"], ["z", "x + 19", "x + 51"], ["x", "m + 13", "m + 64"], ["m", 9, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"m": 9}, "is_reverse": true}}
| 2,857
| 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 = z + 10; m = 9; z = x + 19; f = o + 16; b = u + 3; u = g + 15; h = f + 19; r = h + 7; y = r + 4; o = m + 3; d = b + 4; x = m + 13; w = y + 7. If m = 9, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 3 to d, which gives d = u + 7.\n2. Substitute u = g + 15 to d, which gives d = g + 22.\n3. Substitute g = z + 10 to d, which gives d = z + 32.\n4. Substitute z = x + 19 to d, which gives d = x + 51.\n5. Substitute x = m + 13 to d, which gives d = m + 64.\n6. Substitute m = 9 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 2857,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = z + 10; m = 9; z = x + 19; f = o + 16; b = u + 3; u = g + 15; h = f + 19; r = h + 7; y = r + 4; o = m + 3; d = b + 4; x = m + 13; w = y + 7. If m = 9, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 16", "j": "l + 20", "n": "j + 7", "e": "n + 2", "x": "e + 15", "o": "x + 8", "y": "b + 5", "r": "y + 18", "t": "r + 15", "i": "t + 20", "v": "i + 11", "k": "v + 10", "b": 11}, "premises": {"b": 11}, "target": "o"}, "answer": {"steps": [["x", "e + 15", "e + 23"], ["e", "n + 2", "n + 25"], ["n", "j + 7", "j + 32"], ["j", "l + 20", "l + 52"], ["l", "b + 16", "b + 68"], ["b", 11, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"b": 11}, "is_reverse": true}}
| 2,858
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 16; e = n + 2; j = l + 20; n = j + 7; o = x + 8; x = e + 15; r = y + 18; t = r + 15; i = t + 20; b = 11; v = i + 11; y = b + 5; k = v + 10. Given that b = 11, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 15 to o, which gives o = e + 23.\n2. Substitute e = n + 2 to o, which gives o = n + 25.\n3. Substitute n = j + 7 to o, which gives o = j + 32.\n4. Substitute j = l + 20 to o, which gives o = l + 52.\n5. Substitute l = b + 16 to o, which gives o = b + 68.\n6. Substitute b = 11 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 2858,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 16; e = n + 2; j = l + 20; n = j + 7; o = x + 8; x = e + 15; r = y + 18; t = r + 15; i = t + 20; b = 11; v = i + 11; y = b + 5; k = v + 10. Given that b = 11, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 19", "m": "k + 20", "p": "m + 18", "n": "p + 13", "a": "n + 19", "y": "a + 6", "b": "d + 12", "q": "b + 3", "l": "q + 5", "x": "l + 5", "z": "x + 20", "o": "z + 10", "d": 6}, "premises": {"d": 6}, "target": "y"}, "answer": {"steps": [["a", "n + 19", "n + 25"], ["n", "p + 13", "p + 38"], ["p", "m + 18", "m + 56"], ["m", "k + 20", "k + 76"], ["k", "d + 19", "d + 95"], ["d", 6, "101"]], "target_var_name": "y", "target_value": 101, "value_dict": {"d": 6}, "is_reverse": true}}
| 2,859
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 5; z = x + 20; b = d + 12; o = z + 10; k = d + 19; n = p + 13; a = n + 19; q = b + 3; y = a + 6; p = m + 18; d = 6; m = k + 20; x = l + 5. Given that d = 6, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 19 to y, which gives y = n + 25.\n2. Substitute n = p + 13 to y, which gives y = p + 38.\n3. Substitute p = m + 18 to y, which gives y = m + 56.\n4. Substitute m = k + 20 to y, which gives y = k + 76.\n5. Substitute k = d + 19 to y, which gives y = d + 95.\n6. Substitute d = 6 to y, which gives y = 101.\n\nThus, the final answer is y = \\boxed{101}.",
"index": 2859,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 5; z = x + 20; b = d + 12; o = z + 10; k = d + 19; n = p + 13; a = n + 19; q = b + 3; y = a + 6; p = m + 18; d = 6; m = k + 20; x = l + 5. Given that d = 6, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 3", "i": "h + 18", "l": "i + 20", "y": "l + 12", "z": "y + 10", "d": "z + 7", "n": "u + 8", "q": "n + 14", "x": "q + 16", "t": "x + 20", "g": "t + 18", "r": "g + 12", "u": 17}, "premises": {"u": 17}, "target": "d"}, "answer": {"steps": [["z", "y + 10", "y + 17"], ["y", "l + 12", "l + 29"], ["l", "i + 20", "i + 49"], ["i", "h + 18", "h + 67"], ["h", "u + 3", "u + 70"], ["u", 17, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"u": 17}, "is_reverse": true}}
| 2,860
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 3; i = h + 18; n = u + 8; y = l + 12; t = x + 20; x = q + 16; z = y + 10; d = z + 7; r = g + 12; q = n + 14; g = t + 18; l = i + 20; u = 17. If u = 17, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 10 to d, which gives d = y + 17.\n2. Substitute y = l + 12 to d, which gives d = l + 29.\n3. Substitute l = i + 20 to d, which gives d = i + 49.\n4. Substitute i = h + 18 to d, which gives d = h + 67.\n5. Substitute h = u + 3 to d, which gives d = u + 70.\n6. Substitute u = 17 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 2860,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 3; i = h + 18; n = u + 8; y = l + 12; t = x + 20; x = q + 16; z = y + 10; d = z + 7; r = g + 12; q = n + 14; g = t + 18; l = i + 20; u = 17. If u = 17, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 8", "v": "p + 18", "w": "v + 7", "q": "w + 13", "y": "q + 1", "m": "y + 13", "r": "s + 4", "i": "r + 3", "b": "i + 7", "n": "b + 7", "c": "n + 9", "j": "c + 20", "s": 4}, "premises": {"s": 4}, "target": "m"}, "answer": {"steps": [["y", "q + 1", "q + 14"], ["q", "w + 13", "w + 27"], ["w", "v + 7", "v + 34"], ["v", "p + 18", "p + 52"], ["p", "s + 8", "s + 60"], ["s", 4, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"s": 4}, "is_reverse": true}}
| 2,861
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 4; j = c + 20; n = b + 7; i = r + 3; v = p + 18; q = w + 13; y = q + 1; b = i + 7; m = y + 13; w = v + 7; p = s + 8; s = 4; c = n + 9. If s = 4, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 1 to m, which gives m = q + 14.\n2. Substitute q = w + 13 to m, which gives m = w + 27.\n3. Substitute w = v + 7 to m, which gives m = v + 34.\n4. Substitute v = p + 18 to m, which gives m = p + 52.\n5. Substitute p = s + 8 to m, which gives m = s + 60.\n6. Substitute s = 4 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 2861,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 4; j = c + 20; n = b + 7; i = r + 3; v = p + 18; q = w + 13; y = q + 1; b = i + 7; m = y + 13; w = v + 7; p = s + 8; s = 4; c = n + 9. If s = 4, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 14", "u": "q + 19", "a": "u + 1", "y": "a + 6", "f": "y + 18", "h": "f + 6", "k": "d + 13", "m": "k + 13", "z": "m + 5", "n": "z + 19", "v": "n + 16", "o": "v + 11", "d": 12}, "premises": {"d": 12}, "target": "h"}, "answer": {"steps": [["f", "y + 18", "y + 24"], ["y", "a + 6", "a + 30"], ["a", "u + 1", "u + 31"], ["u", "q + 19", "q + 50"], ["q", "d + 14", "d + 64"], ["d", 12, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"d": 12}, "is_reverse": true}}
| 2,862
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 6; q = d + 14; m = k + 13; h = f + 6; o = v + 11; u = q + 19; v = n + 16; f = y + 18; n = z + 19; z = m + 5; d = 12; k = d + 13; a = u + 1. If d = 12, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 18 to h, which gives h = y + 24.\n2. Substitute y = a + 6 to h, which gives h = a + 30.\n3. Substitute a = u + 1 to h, which gives h = u + 31.\n4. Substitute u = q + 19 to h, which gives h = q + 50.\n5. Substitute q = d + 14 to h, which gives h = d + 64.\n6. Substitute d = 12 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 2862,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 6; q = d + 14; m = k + 13; h = f + 6; o = v + 11; u = q + 19; v = n + 16; f = y + 18; n = z + 19; z = m + 5; d = 12; k = d + 13; a = u + 1. If d = 12, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 9", "a": "k + 18", "c": "a + 18", "m": "c + 7", "w": "m + 18", "d": "w + 18", "y": "e + 4", "t": "y + 20", "o": "t + 3", "h": "o + 2", "x": "h + 4", "v": "x + 7", "e": 12}, "premises": {"e": 12}, "target": "d"}, "answer": {"steps": [["w", "m + 18", "m + 36"], ["m", "c + 7", "c + 43"], ["c", "a + 18", "a + 61"], ["a", "k + 18", "k + 79"], ["k", "e + 9", "e + 88"], ["e", 12, "100"]], "target_var_name": "d", "target_value": 100, "value_dict": {"e": 12}, "is_reverse": true}}
| 2,863
| 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 = x + 7; e = 12; t = y + 20; a = k + 18; o = t + 3; m = c + 7; k = e + 9; x = h + 4; c = a + 18; w = m + 18; h = o + 2; d = w + 18; y = e + 4. If e = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 18 to d, which gives d = m + 36.\n2. Substitute m = c + 7 to d, which gives d = c + 43.\n3. Substitute c = a + 18 to d, which gives d = a + 61.\n4. Substitute a = k + 18 to d, which gives d = k + 79.\n5. Substitute k = e + 9 to d, which gives d = e + 88.\n6. Substitute e = 12 to d, which gives d = 100.\n\nThus, the final answer is d = \\boxed{100}.",
"index": 2863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 7; e = 12; t = y + 20; a = k + 18; o = t + 3; m = c + 7; k = e + 9; x = h + 4; c = a + 18; w = m + 18; h = o + 2; d = w + 18; y = e + 4. If e = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"e": "x + 6", "p": "e + 3", "c": "p + 8", "i": "c + 10", "r": "i + 9", "s": "r + 7", "w": "x + 1", "v": "w + 7", "h": "v + 14", "y": "h + 19", "b": "y + 2", "t": "b + 9", "x": 1}, "premises": {"x": 1}, "target": "s"}, "answer": {"steps": [["r", "i + 9", "i + 16"], ["i", "c + 10", "c + 26"], ["c", "p + 8", "p + 34"], ["p", "e + 3", "e + 37"], ["e", "x + 6", "x + 43"], ["x", 1, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"x": 1}, "is_reverse": true}}
| 2,864
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 8; s = r + 7; p = e + 3; v = w + 7; r = i + 9; h = v + 14; x = 1; t = b + 9; y = h + 19; e = x + 6; i = c + 10; w = x + 1; b = y + 2. If x = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 9 to s, which gives s = i + 16.\n2. Substitute i = c + 10 to s, which gives s = c + 26.\n3. Substitute c = p + 8 to s, which gives s = p + 34.\n4. Substitute p = e + 3 to s, which gives s = e + 37.\n5. Substitute e = x + 6 to s, which gives s = x + 43.\n6. Substitute x = 1 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 2864,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 8; s = r + 7; p = e + 3; v = w + 7; r = i + 9; h = v + 14; x = 1; t = b + 9; y = h + 19; e = x + 6; i = c + 10; w = x + 1; b = y + 2. If x = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 8", "n": "y + 1", "b": "n + 10", "c": "b + 2", "m": "c + 13", "x": "m + 3", "q": "z + 13", "h": "q + 1", "f": "h + 1", "g": "f + 7", "d": "g + 11", "o": "d + 15", "z": 17}, "premises": {"z": 17}, "target": "x"}, "answer": {"steps": [["m", "c + 13", "c + 16"], ["c", "b + 2", "b + 18"], ["b", "n + 10", "n + 28"], ["n", "y + 1", "y + 29"], ["y", "z + 8", "z + 37"], ["z", 17, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"z": 17}, "is_reverse": true}}
| 2,865
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 13; o = d + 15; g = f + 7; z = 17; c = b + 2; q = z + 13; d = g + 11; y = z + 8; x = m + 3; b = n + 10; h = q + 1; n = y + 1; f = h + 1. If z = 17, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 13 to x, which gives x = c + 16.\n2. Substitute c = b + 2 to x, which gives x = b + 18.\n3. Substitute b = n + 10 to x, which gives x = n + 28.\n4. Substitute n = y + 1 to x, which gives x = y + 29.\n5. Substitute y = z + 8 to x, which gives x = z + 37.\n6. Substitute z = 17 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 2865,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 13; o = d + 15; g = f + 7; z = 17; c = b + 2; q = z + 13; d = g + 11; y = z + 8; x = m + 3; b = n + 10; h = q + 1; n = y + 1; f = h + 1. If z = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 11", "e": "x + 1", "p": "e + 5", "u": "p + 1", "j": "u + 13", "z": "j + 17", "y": "n + 8", "b": "y + 12", "f": "b + 7", "a": "f + 17", "h": "a + 7", "r": "h + 2", "n": 15}, "premises": {"n": 15}, "target": "z"}, "answer": {"steps": [["j", "u + 13", "u + 30"], ["u", "p + 1", "p + 31"], ["p", "e + 5", "e + 36"], ["e", "x + 1", "x + 37"], ["x", "n + 11", "n + 48"], ["n", 15, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"n": 15}, "is_reverse": true}}
| 2,866
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = f + 17; n = 15; b = y + 12; z = j + 17; f = b + 7; u = p + 1; r = h + 2; y = n + 8; x = n + 11; h = a + 7; p = e + 5; j = u + 13; e = x + 1. Given that n = 15, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 13 to z, which gives z = u + 30.\n2. Substitute u = p + 1 to z, which gives z = p + 31.\n3. Substitute p = e + 5 to z, which gives z = e + 36.\n4. Substitute e = x + 1 to z, which gives z = x + 37.\n5. Substitute x = n + 11 to z, which gives z = n + 48.\n6. Substitute n = 15 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 2866,
"question": "Suppose a collection of variables is related by the following definitions: a = f + 17; n = 15; b = y + 12; z = j + 17; f = b + 7; u = p + 1; r = h + 2; y = n + 8; x = n + 11; h = a + 7; p = e + 5; j = u + 13; e = x + 1. Given that n = 15, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 17", "c": "h + 3", "q": "c + 5", "d": "q + 11", "x": "d + 11", "m": "x + 16", "a": "b + 11", "u": "a + 18", "w": "u + 18", "r": "w + 18", "f": "r + 11", "i": "f + 9", "b": 3}, "premises": {"b": 3}, "target": "m"}, "answer": {"steps": [["x", "d + 11", "d + 27"], ["d", "q + 11", "q + 38"], ["q", "c + 5", "c + 43"], ["c", "h + 3", "h + 46"], ["h", "b + 17", "b + 63"], ["b", 3, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"b": 3}, "is_reverse": true}}
| 2,867
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 17; w = u + 18; x = d + 11; m = x + 16; b = 3; q = c + 5; u = a + 18; f = r + 11; i = f + 9; a = b + 11; d = q + 11; c = h + 3; r = w + 18. Given that b = 3, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 11 to m, which gives m = d + 27.\n2. Substitute d = q + 11 to m, which gives m = q + 38.\n3. Substitute q = c + 5 to m, which gives m = c + 43.\n4. Substitute c = h + 3 to m, which gives m = h + 46.\n5. Substitute h = b + 17 to m, which gives m = b + 63.\n6. Substitute b = 3 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 2867,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 17; w = u + 18; x = d + 11; m = x + 16; b = 3; q = c + 5; u = a + 18; f = r + 11; i = f + 9; a = b + 11; d = q + 11; c = h + 3; r = w + 18. Given that b = 3, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 17", "c": "w + 14", "e": "c + 19", "o": "e + 6", "f": "o + 8", "i": "f + 9", "j": "d + 16", "t": "j + 13", "h": "t + 16", "y": "h + 2", "r": "y + 13", "l": "r + 14", "d": 3}, "premises": {"d": 3}, "target": "i"}, "answer": {"steps": [["f", "o + 8", "o + 17"], ["o", "e + 6", "e + 23"], ["e", "c + 19", "c + 42"], ["c", "w + 14", "w + 56"], ["w", "d + 17", "d + 73"], ["d", 3, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"d": 3}, "is_reverse": true}}
| 2,868
| 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 = o + 8; j = d + 16; y = h + 2; d = 3; i = f + 9; e = c + 19; t = j + 13; o = e + 6; l = r + 14; h = t + 16; c = w + 14; r = y + 13; w = d + 17. If d = 3, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 8 to i, which gives i = o + 17.\n2. Substitute o = e + 6 to i, which gives i = e + 23.\n3. Substitute e = c + 19 to i, which gives i = c + 42.\n4. Substitute c = w + 14 to i, which gives i = w + 56.\n5. Substitute w = d + 17 to i, which gives i = d + 73.\n6. Substitute d = 3 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 2868,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 8; j = d + 16; y = h + 2; d = 3; i = f + 9; e = c + 19; t = j + 13; o = e + 6; l = r + 14; h = t + 16; c = w + 14; r = y + 13; w = d + 17. If d = 3, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"w": "o + 6", "q": "w + 3", "n": "q + 8", "s": "n + 11", "a": "s + 17", "g": "a + 6", "u": "o + 20", "d": "u + 7", "h": "d + 15", "e": "h + 14", "l": "e + 11", "j": "l + 12", "o": 10}, "premises": {"o": 10}, "target": "g"}, "answer": {"steps": [["a", "s + 17", "s + 23"], ["s", "n + 11", "n + 34"], ["n", "q + 8", "q + 42"], ["q", "w + 3", "w + 45"], ["w", "o + 6", "o + 51"], ["o", 10, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"o": 10}, "is_reverse": true}}
| 2,869
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 11; e = h + 14; o = 10; h = d + 15; j = l + 12; n = q + 8; a = s + 17; q = w + 3; g = a + 6; w = o + 6; u = o + 20; d = u + 7; l = e + 11. If o = 10, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 17 to g, which gives g = s + 23.\n2. Substitute s = n + 11 to g, which gives g = n + 34.\n3. Substitute n = q + 8 to g, which gives g = q + 42.\n4. Substitute q = w + 3 to g, which gives g = w + 45.\n5. Substitute w = o + 6 to g, which gives g = o + 51.\n6. Substitute o = 10 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 2869,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 11; e = h + 14; o = 10; h = d + 15; j = l + 12; n = q + 8; a = s + 17; q = w + 3; g = a + 6; w = o + 6; u = o + 20; d = u + 7; l = e + 11. If o = 10, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 12", "r": "n + 10", "k": "r + 18", "g": "k + 10", "p": "g + 5", "l": "p + 16", "m": "b + 2", "c": "m + 6", "x": "c + 4", "f": "x + 11", "w": "f + 15", "d": "w + 4", "b": 1}, "premises": {"b": 1}, "target": "l"}, "answer": {"steps": [["p", "g + 5", "g + 21"], ["g", "k + 10", "k + 31"], ["k", "r + 18", "r + 49"], ["r", "n + 10", "n + 59"], ["n", "b + 12", "b + 71"], ["b", 1, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"b": 1}, "is_reverse": true}}
| 2,870
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 15; d = w + 4; n = b + 12; r = n + 10; b = 1; m = b + 2; p = g + 5; g = k + 10; k = r + 18; f = x + 11; c = m + 6; l = p + 16; x = c + 4. If b = 1, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 5 to l, which gives l = g + 21.\n2. Substitute g = k + 10 to l, which gives l = k + 31.\n3. Substitute k = r + 18 to l, which gives l = r + 49.\n4. Substitute r = n + 10 to l, which gives l = n + 59.\n5. Substitute n = b + 12 to l, which gives l = b + 71.\n6. Substitute b = 1 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 2870,
"question": "Consider a system of variables where each variable is defined as follows: w = f + 15; d = w + 4; n = b + 12; r = n + 10; b = 1; m = b + 2; p = g + 5; g = k + 10; k = r + 18; f = x + 11; c = m + 6; l = p + 16; x = c + 4. If b = 1, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 17", "u": "s + 13", "d": "u + 10", "l": "d + 19", "f": "l + 10", "y": "f + 3", "v": "p + 18", "k": "v + 1", "e": "k + 6", "x": "e + 17", "t": "x + 19", "w": "t + 13", "p": 14}, "premises": {"p": 14}, "target": "y"}, "answer": {"steps": [["f", "l + 10", "l + 13"], ["l", "d + 19", "d + 32"], ["d", "u + 10", "u + 42"], ["u", "s + 13", "s + 55"], ["s", "p + 17", "p + 72"], ["p", 14, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"p": 14}, "is_reverse": true}}
| 2,871
| 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 = k + 6; u = s + 13; w = t + 13; l = d + 19; v = p + 18; s = p + 17; d = u + 10; t = x + 19; p = 14; y = f + 3; k = v + 1; x = e + 17; f = l + 10. If p = 14, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 10 to y, which gives y = l + 13.\n2. Substitute l = d + 19 to y, which gives y = d + 32.\n3. Substitute d = u + 10 to y, which gives y = u + 42.\n4. Substitute u = s + 13 to y, which gives y = s + 55.\n5. Substitute s = p + 17 to y, which gives y = p + 72.\n6. Substitute p = 14 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 2871,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 6; u = s + 13; w = t + 13; l = d + 19; v = p + 18; s = p + 17; d = u + 10; t = x + 19; p = 14; y = f + 3; k = v + 1; x = e + 17; f = l + 10. If p = 14, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 11", "u": "p + 12", "x": "u + 6", "v": "x + 16", "l": "v + 20", "e": "l + 4", "a": "j + 12", "r": "a + 9", "y": "r + 5", "m": "y + 3", "c": "m + 12", "h": "c + 18", "j": 4}, "premises": {"j": 4}, "target": "e"}, "answer": {"steps": [["l", "v + 20", "v + 24"], ["v", "x + 16", "x + 40"], ["x", "u + 6", "u + 46"], ["u", "p + 12", "p + 58"], ["p", "j + 11", "j + 69"], ["j", 4, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"j": 4}, "is_reverse": true}}
| 2,872
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 16; l = v + 20; y = r + 5; x = u + 6; c = m + 12; u = p + 12; j = 4; e = l + 4; m = y + 3; p = j + 11; a = j + 12; h = c + 18; r = a + 9. If j = 4, 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 l = v + 20 to e, which gives e = v + 24.\n2. Substitute v = x + 16 to e, which gives e = x + 40.\n3. Substitute x = u + 6 to e, which gives e = u + 46.\n4. Substitute u = p + 12 to e, which gives e = p + 58.\n5. Substitute p = j + 11 to e, which gives e = j + 69.\n6. Substitute j = 4 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 2872,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 16; l = v + 20; y = r + 5; x = u + 6; c = m + 12; u = p + 12; j = 4; e = l + 4; m = y + 3; p = j + 11; a = j + 12; h = c + 18; r = a + 9. If j = 4, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 15", "a": "r + 16", "h": "a + 17", "u": "h + 9", "e": "u + 6", "z": "e + 15", "b": "x + 13", "k": "b + 2", "w": "k + 4", "t": "w + 12", "l": "t + 13", "p": "l + 3", "x": 20}, "premises": {"x": 20}, "target": "z"}, "answer": {"steps": [["e", "u + 6", "u + 21"], ["u", "h + 9", "h + 30"], ["h", "a + 17", "a + 47"], ["a", "r + 16", "r + 63"], ["r", "x + 15", "x + 78"], ["x", 20, "98"]], "target_var_name": "z", "target_value": 98, "value_dict": {"x": 20}, "is_reverse": true}}
| 2,873
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 3; h = a + 17; l = t + 13; t = w + 12; r = x + 15; x = 20; a = r + 16; k = b + 2; z = e + 15; w = k + 4; b = x + 13; e = u + 6; u = h + 9. If x = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 6 to z, which gives z = u + 21.\n2. Substitute u = h + 9 to z, which gives z = h + 30.\n3. Substitute h = a + 17 to z, which gives z = a + 47.\n4. Substitute a = r + 16 to z, which gives z = r + 63.\n5. Substitute r = x + 15 to z, which gives z = x + 78.\n6. Substitute x = 20 to z, which gives z = 98.\n\nThus, the final answer is z = \\boxed{98}.",
"index": 2873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 3; h = a + 17; l = t + 13; t = w + 12; r = x + 15; x = 20; a = r + 16; k = b + 2; z = e + 15; w = k + 4; b = x + 13; e = u + 6; u = h + 9. If x = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 13", "b": "x + 7", "j": "b + 14", "n": "j + 3", "y": "n + 4", "e": "y + 17", "a": "c + 20", "i": "a + 14", "z": "i + 6", "w": "z + 13", "m": "w + 11", "s": "m + 6", "c": 4}, "premises": {"c": 4}, "target": "e"}, "answer": {"steps": [["y", "n + 4", "n + 21"], ["n", "j + 3", "j + 24"], ["j", "b + 14", "b + 38"], ["b", "x + 7", "x + 45"], ["x", "c + 13", "c + 58"], ["c", 4, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"c": 4}, "is_reverse": true}}
| 2,874
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 11; x = c + 13; z = i + 6; w = z + 13; a = c + 20; b = x + 7; i = a + 14; s = m + 6; c = 4; j = b + 14; e = y + 17; n = j + 3; y = n + 4. Given that c = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 4 to e, which gives e = n + 21.\n2. Substitute n = j + 3 to e, which gives e = j + 24.\n3. Substitute j = b + 14 to e, which gives e = b + 38.\n4. Substitute b = x + 7 to e, which gives e = x + 45.\n5. Substitute x = c + 13 to e, which gives e = c + 58.\n6. Substitute c = 4 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 2874,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 11; x = c + 13; z = i + 6; w = z + 13; a = c + 20; b = x + 7; i = a + 14; s = m + 6; c = 4; j = b + 14; e = y + 17; n = j + 3; y = n + 4. Given that c = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 13", "j": "g + 6", "r": "j + 20", "x": "r + 15", "k": "x + 4", "q": "k + 4", "b": "z + 7", "a": "b + 1", "l": "a + 11", "u": "l + 19", "n": "u + 3", "t": "n + 11", "z": 18}, "premises": {"z": 18}, "target": "q"}, "answer": {"steps": [["k", "x + 4", "x + 8"], ["x", "r + 15", "r + 23"], ["r", "j + 20", "j + 43"], ["j", "g + 6", "g + 49"], ["g", "z + 13", "z + 62"], ["z", 18, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"z": 18}, "is_reverse": true}}
| 2,875
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 6; a = b + 1; n = u + 3; q = k + 4; z = 18; l = a + 11; u = l + 19; g = z + 13; r = j + 20; b = z + 7; x = r + 15; k = x + 4; t = n + 11. If z = 18, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 4 to q, which gives q = x + 8.\n2. Substitute x = r + 15 to q, which gives q = r + 23.\n3. Substitute r = j + 20 to q, which gives q = j + 43.\n4. Substitute j = g + 6 to q, which gives q = g + 49.\n5. Substitute g = z + 13 to q, which gives q = z + 62.\n6. Substitute z = 18 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 2875,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 6; a = b + 1; n = u + 3; q = k + 4; z = 18; l = a + 11; u = l + 19; g = z + 13; r = j + 20; b = z + 7; x = r + 15; k = x + 4; t = n + 11. If z = 18, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 14", "e": "n + 3", "j": "e + 3", "v": "j + 16", "h": "v + 1", "b": "h + 4", "l": "a + 8", "d": "l + 7", "t": "d + 1", "f": "t + 20", "z": "f + 7", "g": "z + 4", "a": 13}, "premises": {"a": 13}, "target": "b"}, "answer": {"steps": [["h", "v + 1", "v + 5"], ["v", "j + 16", "j + 21"], ["j", "e + 3", "e + 24"], ["e", "n + 3", "n + 27"], ["n", "a + 14", "a + 41"], ["a", 13, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"a": 13}, "is_reverse": true}}
| 2,876
| 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 = f + 7; b = h + 4; g = z + 4; e = n + 3; v = j + 16; a = 13; h = v + 1; f = t + 20; n = a + 14; t = d + 1; l = a + 8; d = l + 7; j = e + 3. If a = 13, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 1 to b, which gives b = v + 5.\n2. Substitute v = j + 16 to b, which gives b = j + 21.\n3. Substitute j = e + 3 to b, which gives b = e + 24.\n4. Substitute e = n + 3 to b, which gives b = n + 27.\n5. Substitute n = a + 14 to b, which gives b = a + 41.\n6. Substitute a = 13 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 2876,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 7; b = h + 4; g = z + 4; e = n + 3; v = j + 16; a = 13; h = v + 1; f = t + 20; n = a + 14; t = d + 1; l = a + 8; d = l + 7; j = e + 3. If a = 13, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 1", "z": "m + 14", "g": "z + 1", "l": "g + 2", "t": "l + 13", "j": "t + 11", "b": "h + 20", "x": "b + 12", "i": "x + 14", "f": "i + 18", "n": "f + 16", "q": "n + 4", "h": 18}, "premises": {"h": 18}, "target": "j"}, "answer": {"steps": [["t", "l + 13", "l + 24"], ["l", "g + 2", "g + 26"], ["g", "z + 1", "z + 27"], ["z", "m + 14", "m + 41"], ["m", "h + 1", "h + 42"], ["h", 18, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"h": 18}, "is_reverse": true}}
| 2,877
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 16; q = n + 4; f = i + 18; x = b + 12; i = x + 14; h = 18; z = m + 14; g = z + 1; j = t + 11; m = h + 1; b = h + 20; t = l + 13; l = g + 2. Given that h = 18, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 13 to j, which gives j = l + 24.\n2. Substitute l = g + 2 to j, which gives j = g + 26.\n3. Substitute g = z + 1 to j, which gives j = z + 27.\n4. Substitute z = m + 14 to j, which gives j = m + 41.\n5. Substitute m = h + 1 to j, which gives j = h + 42.\n6. Substitute h = 18 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 2877,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 16; q = n + 4; f = i + 18; x = b + 12; i = x + 14; h = 18; z = m + 14; g = z + 1; j = t + 11; m = h + 1; b = h + 20; t = l + 13; l = g + 2. Given that h = 18, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 11", "d": "s + 1", "r": "d + 18", "g": "r + 18", "p": "g + 1", "v": "p + 17", "n": "z + 10", "b": "n + 4", "x": "b + 2", "f": "x + 17", "y": "f + 15", "t": "y + 2", "z": 5}, "premises": {"z": 5}, "target": "v"}, "answer": {"steps": [["p", "g + 1", "g + 18"], ["g", "r + 18", "r + 36"], ["r", "d + 18", "d + 54"], ["d", "s + 1", "s + 55"], ["s", "z + 11", "z + 66"], ["z", 5, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"z": 5}, "is_reverse": true}}
| 2,878
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 2; f = x + 17; z = 5; d = s + 1; y = f + 15; g = r + 18; s = z + 11; b = n + 4; v = p + 17; p = g + 1; r = d + 18; n = z + 10; x = b + 2. If z = 5, determine the 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 p = g + 1 to v, which gives v = g + 18.\n2. Substitute g = r + 18 to v, which gives v = r + 36.\n3. Substitute r = d + 18 to v, which gives v = d + 54.\n4. Substitute d = s + 1 to v, which gives v = s + 55.\n5. Substitute s = z + 11 to v, which gives v = z + 66.\n6. Substitute z = 5 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 2878,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 2; f = x + 17; z = 5; d = s + 1; y = f + 15; g = r + 18; s = z + 11; b = n + 4; v = p + 17; p = g + 1; r = d + 18; n = z + 10; x = b + 2. If z = 5, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"y": "b + 10", "r": "y + 10", "h": "r + 10", "q": "h + 20", "o": "q + 4", "x": "o + 15", "l": "b + 8", "k": "l + 16", "g": "k + 20", "m": "g + 13", "t": "m + 20", "c": "t + 17", "b": 16}, "premises": {"b": 16}, "target": "x"}, "answer": {"steps": [["o", "q + 4", "q + 19"], ["q", "h + 20", "h + 39"], ["h", "r + 10", "r + 49"], ["r", "y + 10", "y + 59"], ["y", "b + 10", "b + 69"], ["b", 16, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"b": 16}, "is_reverse": true}}
| 2,879
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 10; h = r + 10; x = o + 15; g = k + 20; c = t + 17; r = y + 10; o = q + 4; b = 16; k = l + 16; q = h + 20; t = m + 20; m = g + 13; l = b + 8. If b = 16, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 4 to x, which gives x = q + 19.\n2. Substitute q = h + 20 to x, which gives x = h + 39.\n3. Substitute h = r + 10 to x, which gives x = r + 49.\n4. Substitute r = y + 10 to x, which gives x = y + 59.\n5. Substitute y = b + 10 to x, which gives x = b + 69.\n6. Substitute b = 16 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 2879,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 10; h = r + 10; x = o + 15; g = k + 20; c = t + 17; r = y + 10; o = q + 4; b = 16; k = l + 16; q = h + 20; t = m + 20; m = g + 13; l = b + 8. If b = 16, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 14", "o": "z + 8", "n": "o + 17", "d": "n + 4", "h": "d + 5", "q": "h + 8", "b": "y + 19", "c": "b + 17", "j": "c + 18", "f": "j + 17", "k": "f + 15", "t": "k + 14", "y": 11}, "premises": {"y": 11}, "target": "q"}, "answer": {"steps": [["h", "d + 5", "d + 13"], ["d", "n + 4", "n + 17"], ["n", "o + 17", "o + 34"], ["o", "z + 8", "z + 42"], ["z", "y + 14", "y + 56"], ["y", 11, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"y": 11}, "is_reverse": true}}
| 2,880
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 5; n = o + 17; q = h + 8; t = k + 14; b = y + 19; k = f + 15; d = n + 4; j = c + 18; y = 11; z = y + 14; o = z + 8; f = j + 17; c = b + 17. If y = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 5 to q, which gives q = d + 13.\n2. Substitute d = n + 4 to q, which gives q = n + 17.\n3. Substitute n = o + 17 to q, which gives q = o + 34.\n4. Substitute o = z + 8 to q, which gives q = z + 42.\n5. Substitute z = y + 14 to q, which gives q = y + 56.\n6. Substitute y = 11 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 2880,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 5; n = o + 17; q = h + 8; t = k + 14; b = y + 19; k = f + 15; d = n + 4; j = c + 18; y = 11; z = y + 14; o = z + 8; f = j + 17; c = b + 17. If y = 11, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 6", "i": "z + 17", "s": "i + 14", "k": "s + 15", "a": "k + 9", "h": "a + 17", "r": "g + 19", "f": "r + 15", "j": "f + 13", "l": "j + 10", "w": "l + 17", "n": "w + 14", "g": 16}, "premises": {"g": 16}, "target": "h"}, "answer": {"steps": [["a", "k + 9", "k + 26"], ["k", "s + 15", "s + 41"], ["s", "i + 14", "i + 55"], ["i", "z + 17", "z + 72"], ["z", "g + 6", "g + 78"], ["g", 16, "94"]], "target_var_name": "h", "target_value": 94, "value_dict": {"g": 16}, "is_reverse": true}}
| 2,881
| 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 = g + 19; h = a + 17; w = l + 17; f = r + 15; n = w + 14; z = g + 6; s = i + 14; l = j + 10; i = z + 17; a = k + 9; g = 16; j = f + 13; k = s + 15. If g = 16, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 9 to h, which gives h = k + 26.\n2. Substitute k = s + 15 to h, which gives h = s + 41.\n3. Substitute s = i + 14 to h, which gives h = i + 55.\n4. Substitute i = z + 17 to h, which gives h = z + 72.\n5. Substitute z = g + 6 to h, which gives h = g + 78.\n6. Substitute g = 16 to h, which gives h = 94.\n\nThus, the final answer is h = \\boxed{94}.",
"index": 2881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 19; h = a + 17; w = l + 17; f = r + 15; n = w + 14; z = g + 6; s = i + 14; l = j + 10; i = z + 17; a = k + 9; g = 16; j = f + 13; k = s + 15. If g = 16, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 7", "n": "k + 16", "b": "n + 10", "e": "b + 20", "x": "e + 7", "y": "x + 10", "q": "m + 9", "c": "q + 1", "d": "c + 19", "r": "d + 16", "w": "r + 17", "j": "w + 8", "m": 12}, "premises": {"m": 12}, "target": "y"}, "answer": {"steps": [["x", "e + 7", "e + 17"], ["e", "b + 20", "b + 37"], ["b", "n + 10", "n + 47"], ["n", "k + 16", "k + 63"], ["k", "m + 7", "m + 70"], ["m", 12, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"m": 12}, "is_reverse": true}}
| 2,882
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 20; y = x + 10; j = w + 8; c = q + 1; x = e + 7; d = c + 19; b = n + 10; k = m + 7; w = r + 17; m = 12; q = m + 9; n = k + 16; r = d + 16. If m = 12, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 7 to y, which gives y = e + 17.\n2. Substitute e = b + 20 to y, which gives y = b + 37.\n3. Substitute b = n + 10 to y, which gives y = n + 47.\n4. Substitute n = k + 16 to y, which gives y = k + 63.\n5. Substitute k = m + 7 to y, which gives y = m + 70.\n6. Substitute m = 12 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 2882,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 20; y = x + 10; j = w + 8; c = q + 1; x = e + 7; d = c + 19; b = n + 10; k = m + 7; w = r + 17; m = 12; q = m + 9; n = k + 16; r = d + 16. If m = 12, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 17", "l": "s + 14", "a": "l + 7", "d": "a + 8", "t": "d + 14", "k": "t + 16", "m": "c + 5", "r": "m + 17", "o": "r + 2", "q": "o + 7", "i": "q + 17", "g": "i + 17", "c": 1}, "premises": {"c": 1}, "target": "k"}, "answer": {"steps": [["t", "d + 14", "d + 30"], ["d", "a + 8", "a + 38"], ["a", "l + 7", "l + 45"], ["l", "s + 14", "s + 59"], ["s", "c + 17", "c + 76"], ["c", 1, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"c": 1}, "is_reverse": true}}
| 2,883
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 17; o = r + 2; i = q + 17; l = s + 14; c = 1; t = d + 14; r = m + 17; d = a + 8; q = o + 7; m = c + 5; k = t + 16; g = i + 17; a = l + 7. If c = 1, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 14 to k, which gives k = d + 30.\n2. Substitute d = a + 8 to k, which gives k = a + 38.\n3. Substitute a = l + 7 to k, which gives k = l + 45.\n4. Substitute l = s + 14 to k, which gives k = s + 59.\n5. Substitute s = c + 17 to k, which gives k = c + 76.\n6. Substitute c = 1 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 2883,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 17; o = r + 2; i = q + 17; l = s + 14; c = 1; t = d + 14; r = m + 17; d = a + 8; q = o + 7; m = c + 5; k = t + 16; g = i + 17; a = l + 7. If c = 1, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 13", "m": "q + 12", "r": "m + 4", "y": "r + 15", "o": "y + 2", "e": "o + 3", "n": "w + 16", "p": "n + 9", "h": "p + 16", "z": "h + 12", "u": "z + 19", "a": "u + 20", "w": 20}, "premises": {"w": 20}, "target": "e"}, "answer": {"steps": [["o", "y + 2", "y + 5"], ["y", "r + 15", "r + 20"], ["r", "m + 4", "m + 24"], ["m", "q + 12", "q + 36"], ["q", "w + 13", "w + 49"], ["w", 20, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"w": 20}, "is_reverse": true}}
| 2,884
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 2; p = n + 9; e = o + 3; m = q + 12; n = w + 16; z = h + 12; h = p + 16; w = 20; u = z + 19; a = u + 20; q = w + 13; y = r + 15; r = m + 4. If w = 20, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 2 to e, which gives e = y + 5.\n2. Substitute y = r + 15 to e, which gives e = r + 20.\n3. Substitute r = m + 4 to e, which gives e = m + 24.\n4. Substitute m = q + 12 to e, which gives e = q + 36.\n5. Substitute q = w + 13 to e, which gives e = w + 49.\n6. Substitute w = 20 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 2884,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 2; p = n + 9; e = o + 3; m = q + 12; n = w + 16; z = h + 12; h = p + 16; w = 20; u = z + 19; a = u + 20; q = w + 13; y = r + 15; r = m + 4. If w = 20, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 20", "m": "g + 9", "t": "m + 2", "s": "t + 7", "y": "s + 7", "n": "y + 8", "v": "b + 7", "d": "v + 18", "p": "d + 18", "e": "p + 3", "f": "e + 6", "j": "f + 11", "b": 18}, "premises": {"b": 18}, "target": "n"}, "answer": {"steps": [["y", "s + 7", "s + 15"], ["s", "t + 7", "t + 22"], ["t", "m + 2", "m + 24"], ["m", "g + 9", "g + 33"], ["g", "b + 20", "b + 53"], ["b", 18, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"b": 18}, "is_reverse": true}}
| 2,885
| 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 + 2; e = p + 3; j = f + 11; y = s + 7; b = 18; d = v + 18; p = d + 18; g = b + 20; f = e + 6; s = t + 7; v = b + 7; m = g + 9; n = y + 8. If b = 18, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 7 to n, which gives n = s + 15.\n2. Substitute s = t + 7 to n, which gives n = t + 22.\n3. Substitute t = m + 2 to n, which gives n = m + 24.\n4. Substitute m = g + 9 to n, which gives n = g + 33.\n5. Substitute g = b + 20 to n, which gives n = b + 53.\n6. Substitute b = 18 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 2885,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 2; e = p + 3; j = f + 11; y = s + 7; b = 18; d = v + 18; p = d + 18; g = b + 20; f = e + 6; s = t + 7; v = b + 7; m = g + 9; n = y + 8. If b = 18, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 11", "u": "p + 4", "h": "u + 13", "z": "h + 14", "g": "z + 17", "i": "g + 16", "e": "f + 11", "c": "e + 20", "y": "c + 7", "n": "y + 7", "v": "n + 10", "a": "v + 1", "f": 17}, "premises": {"f": 17}, "target": "i"}, "answer": {"steps": [["g", "z + 17", "z + 33"], ["z", "h + 14", "h + 47"], ["h", "u + 13", "u + 60"], ["u", "p + 4", "p + 64"], ["p", "f + 11", "f + 75"], ["f", 17, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"f": 17}, "is_reverse": true}}
| 2,886
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 10; a = v + 1; z = h + 14; u = p + 4; g = z + 17; n = y + 7; c = e + 20; f = 17; i = g + 16; y = c + 7; h = u + 13; e = f + 11; p = f + 11. If f = 17, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 17 to i, which gives i = z + 33.\n2. Substitute z = h + 14 to i, which gives i = h + 47.\n3. Substitute h = u + 13 to i, which gives i = u + 60.\n4. Substitute u = p + 4 to i, which gives i = p + 64.\n5. Substitute p = f + 11 to i, which gives i = f + 75.\n6. Substitute f = 17 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 2886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 10; a = v + 1; z = h + 14; u = p + 4; g = z + 17; n = y + 7; c = e + 20; f = 17; i = g + 16; y = c + 7; h = u + 13; e = f + 11; p = f + 11. If f = 17, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 16", "r": "c + 13", "i": "r + 11", "k": "i + 5", "h": "k + 18", "l": "h + 6", "a": "w + 1", "n": "a + 9", "m": "n + 13", "t": "m + 6", "j": "t + 8", "e": "j + 11", "w": 6}, "premises": {"w": 6}, "target": "l"}, "answer": {"steps": [["h", "k + 18", "k + 24"], ["k", "i + 5", "i + 29"], ["i", "r + 11", "r + 40"], ["r", "c + 13", "c + 53"], ["c", "w + 16", "w + 69"], ["w", 6, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"w": 6}, "is_reverse": true}}
| 2,887
| 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 + 6; w = 6; a = w + 1; h = k + 18; m = n + 13; j = t + 8; k = i + 5; r = c + 13; t = m + 6; i = r + 11; n = a + 9; e = j + 11; c = w + 16. If w = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 18 to l, which gives l = k + 24.\n2. Substitute k = i + 5 to l, which gives l = i + 29.\n3. Substitute i = r + 11 to l, which gives l = r + 40.\n4. Substitute r = c + 13 to l, which gives l = c + 53.\n5. Substitute c = w + 16 to l, which gives l = w + 69.\n6. Substitute w = 6 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 2887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 6; w = 6; a = w + 1; h = k + 18; m = n + 13; j = t + 8; k = i + 5; r = c + 13; t = m + 6; i = r + 11; n = a + 9; e = j + 11; c = w + 16. If w = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 11", "s": "d + 16", "g": "s + 7", "n": "g + 16", "c": "n + 7", "y": "c + 6", "p": "f + 17", "z": "p + 18", "a": "z + 12", "l": "a + 7", "j": "l + 16", "x": "j + 2", "f": 12}, "premises": {"f": 12}, "target": "y"}, "answer": {"steps": [["c", "n + 7", "n + 13"], ["n", "g + 16", "g + 29"], ["g", "s + 7", "s + 36"], ["s", "d + 16", "d + 52"], ["d", "f + 11", "f + 63"], ["f", 12, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"f": 12}, "is_reverse": true}}
| 2,888
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 6; s = d + 16; p = f + 17; n = g + 16; d = f + 11; f = 12; c = n + 7; z = p + 18; x = j + 2; j = l + 16; a = z + 12; l = a + 7; g = s + 7. If f = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 7 to y, which gives y = n + 13.\n2. Substitute n = g + 16 to y, which gives y = g + 29.\n3. Substitute g = s + 7 to y, which gives y = s + 36.\n4. Substitute s = d + 16 to y, which gives y = d + 52.\n5. Substitute d = f + 11 to y, which gives y = f + 63.\n6. Substitute f = 12 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 2888,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 6; s = d + 16; p = f + 17; n = g + 16; d = f + 11; f = 12; c = n + 7; z = p + 18; x = j + 2; j = l + 16; a = z + 12; l = a + 7; g = s + 7. If f = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 2", "b": "a + 1", "n": "b + 8", "v": "n + 2", "l": "v + 13", "g": "l + 14", "w": "q + 19", "c": "w + 9", "h": "c + 19", "d": "h + 1", "m": "d + 7", "x": "m + 2", "q": 14}, "premises": {"q": 14}, "target": "g"}, "answer": {"steps": [["l", "v + 13", "v + 27"], ["v", "n + 2", "n + 29"], ["n", "b + 8", "b + 37"], ["b", "a + 1", "a + 38"], ["a", "q + 2", "q + 40"], ["q", 14, "54"]], "target_var_name": "g", "target_value": 54, "value_dict": {"q": 14}, "is_reverse": true}}
| 2,889
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 9; g = l + 14; q = 14; x = m + 2; l = v + 13; m = d + 7; b = a + 1; d = h + 1; n = b + 8; h = c + 19; v = n + 2; w = q + 19; a = q + 2. Given that q = 14, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 13 to g, which gives g = v + 27.\n2. Substitute v = n + 2 to g, which gives g = n + 29.\n3. Substitute n = b + 8 to g, which gives g = b + 37.\n4. Substitute b = a + 1 to g, which gives g = a + 38.\n5. Substitute a = q + 2 to g, which gives g = q + 40.\n6. Substitute q = 14 to g, which gives g = 54.\n\nThus, the final answer is g = \\boxed{54}.",
"index": 2889,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 9; g = l + 14; q = 14; x = m + 2; l = v + 13; m = d + 7; b = a + 1; d = h + 1; n = b + 8; h = c + 19; v = n + 2; w = q + 19; a = q + 2. Given that q = 14, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 12", "u": "d + 20", "c": "u + 2", "k": "c + 1", "t": "k + 8", "f": "t + 8", "j": "y + 15", "b": "j + 7", "l": "b + 17", "o": "l + 20", "e": "o + 13", "i": "e + 19", "y": 3}, "premises": {"y": 3}, "target": "f"}, "answer": {"steps": [["t", "k + 8", "k + 16"], ["k", "c + 1", "c + 17"], ["c", "u + 2", "u + 19"], ["u", "d + 20", "d + 39"], ["d", "y + 12", "y + 51"], ["y", 3, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"y": 3}, "is_reverse": true}}
| 2,890
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 20; d = y + 12; b = j + 7; c = u + 2; y = 3; k = c + 1; f = t + 8; j = y + 15; l = b + 17; t = k + 8; e = o + 13; i = e + 19; o = l + 20. Given that y = 3, find the 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 t = k + 8 to f, which gives f = k + 16.\n2. Substitute k = c + 1 to f, which gives f = c + 17.\n3. Substitute c = u + 2 to f, which gives f = u + 19.\n4. Substitute u = d + 20 to f, which gives f = d + 39.\n5. Substitute d = y + 12 to f, which gives f = y + 51.\n6. Substitute y = 3 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 2890,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 20; d = y + 12; b = j + 7; c = u + 2; y = 3; k = c + 1; f = t + 8; j = y + 15; l = b + 17; t = k + 8; e = o + 13; i = e + 19; o = l + 20. Given that y = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 11", "p": "o + 3", "c": "p + 7", "b": "c + 6", "f": "b + 14", "m": "f + 14", "t": "r + 6", "k": "t + 1", "q": "k + 4", "i": "q + 2", "z": "i + 15", "g": "z + 6", "r": 18}, "premises": {"r": 18}, "target": "m"}, "answer": {"steps": [["f", "b + 14", "b + 28"], ["b", "c + 6", "c + 34"], ["c", "p + 7", "p + 41"], ["p", "o + 3", "o + 44"], ["o", "r + 11", "r + 55"], ["r", 18, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"r": 18}, "is_reverse": true}}
| 2,891
| 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 = i + 15; c = p + 7; f = b + 14; o = r + 11; b = c + 6; g = z + 6; t = r + 6; k = t + 1; r = 18; p = o + 3; m = f + 14; i = q + 2; q = k + 4. If r = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 14 to m, which gives m = b + 28.\n2. Substitute b = c + 6 to m, which gives m = c + 34.\n3. Substitute c = p + 7 to m, which gives m = p + 41.\n4. Substitute p = o + 3 to m, which gives m = o + 44.\n5. Substitute o = r + 11 to m, which gives m = r + 55.\n6. Substitute r = 18 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 2891,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 15; c = p + 7; f = b + 14; o = r + 11; b = c + 6; g = z + 6; t = r + 6; k = t + 1; r = 18; p = o + 3; m = f + 14; i = q + 2; q = k + 4. If r = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 17", "n": "f + 17", "e": "n + 14", "b": "e + 10", "k": "b + 14", "d": "k + 11", "a": "q + 2", "r": "a + 11", "x": "r + 17", "v": "x + 7", "i": "v + 14", "s": "i + 7", "q": 12}, "premises": {"q": 12}, "target": "d"}, "answer": {"steps": [["k", "b + 14", "b + 25"], ["b", "e + 10", "e + 35"], ["e", "n + 14", "n + 49"], ["n", "f + 17", "f + 66"], ["f", "q + 17", "q + 83"], ["q", 12, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"q": 12}, "is_reverse": true}}
| 2,892
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 17; e = n + 14; k = b + 14; x = r + 17; a = q + 2; r = a + 11; v = x + 7; i = v + 14; d = k + 11; f = q + 17; q = 12; b = e + 10; s = i + 7. Given that q = 12, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 14 to d, which gives d = b + 25.\n2. Substitute b = e + 10 to d, which gives d = e + 35.\n3. Substitute e = n + 14 to d, which gives d = n + 49.\n4. Substitute n = f + 17 to d, which gives d = f + 66.\n5. Substitute f = q + 17 to d, which gives d = q + 83.\n6. Substitute q = 12 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 2892,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 17; e = n + 14; k = b + 14; x = r + 17; a = q + 2; r = a + 11; v = x + 7; i = v + 14; d = k + 11; f = q + 17; q = 12; b = e + 10; s = i + 7. Given that q = 12, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 7", "c": "d + 19", "k": "c + 9", "i": "k + 13", "y": "i + 19", "x": "y + 19", "w": "q + 1", "u": "w + 12", "z": "u + 4", "e": "z + 20", "m": "e + 11", "s": "m + 20", "q": 1}, "premises": {"q": 1}, "target": "x"}, "answer": {"steps": [["y", "i + 19", "i + 38"], ["i", "k + 13", "k + 51"], ["k", "c + 9", "c + 60"], ["c", "d + 19", "d + 79"], ["d", "q + 7", "q + 86"], ["q", 1, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"q": 1}, "is_reverse": true}}
| 2,893
| 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 = d + 19; d = q + 7; z = u + 4; m = e + 11; k = c + 9; e = z + 20; w = q + 1; y = i + 19; q = 1; u = w + 12; s = m + 20; x = y + 19; i = k + 13. If q = 1, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 19 to x, which gives x = i + 38.\n2. Substitute i = k + 13 to x, which gives x = k + 51.\n3. Substitute k = c + 9 to x, which gives x = c + 60.\n4. Substitute c = d + 19 to x, which gives x = d + 79.\n5. Substitute d = q + 7 to x, which gives x = q + 86.\n6. Substitute q = 1 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 2893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 19; d = q + 7; z = u + 4; m = e + 11; k = c + 9; e = z + 20; w = q + 1; y = i + 19; q = 1; u = w + 12; s = m + 20; x = y + 19; i = k + 13. If q = 1, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 18", "u": "k + 12", "f": "u + 5", "l": "f + 20", "j": "l + 18", "r": "j + 11", "t": "n + 15", "h": "t + 12", "b": "h + 11", "p": "b + 6", "d": "p + 8", "q": "d + 6", "n": 13}, "premises": {"n": 13}, "target": "r"}, "answer": {"steps": [["j", "l + 18", "l + 29"], ["l", "f + 20", "f + 49"], ["f", "u + 5", "u + 54"], ["u", "k + 12", "k + 66"], ["k", "n + 18", "n + 84"], ["n", 13, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"n": 13}, "is_reverse": true}}
| 2,894
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 8; h = t + 12; l = f + 20; n = 13; k = n + 18; b = h + 11; f = u + 5; p = b + 6; u = k + 12; q = d + 6; t = n + 15; r = j + 11; j = l + 18. If n = 13, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 18 to r, which gives r = l + 29.\n2. Substitute l = f + 20 to r, which gives r = f + 49.\n3. Substitute f = u + 5 to r, which gives r = u + 54.\n4. Substitute u = k + 12 to r, which gives r = k + 66.\n5. Substitute k = n + 18 to r, which gives r = n + 84.\n6. Substitute n = 13 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 2894,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 8; h = t + 12; l = f + 20; n = 13; k = n + 18; b = h + 11; f = u + 5; p = b + 6; u = k + 12; q = d + 6; t = n + 15; r = j + 11; j = l + 18. If n = 13, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 2", "e": "a + 18", "g": "e + 10", "d": "g + 7", "k": "d + 13", "l": "k + 8", "p": "j + 20", "x": "p + 2", "z": "x + 3", "n": "z + 9", "h": "n + 8", "b": "h + 1", "j": 16}, "premises": {"j": 16}, "target": "l"}, "answer": {"steps": [["k", "d + 13", "d + 21"], ["d", "g + 7", "g + 28"], ["g", "e + 10", "e + 38"], ["e", "a + 18", "a + 56"], ["a", "j + 2", "j + 58"], ["j", 16, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"j": 16}, "is_reverse": true}}
| 2,895
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 3; j = 16; k = d + 13; p = j + 20; l = k + 8; x = p + 2; e = a + 18; b = h + 1; a = j + 2; n = z + 9; g = e + 10; d = g + 7; h = n + 8. If j = 16, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 13 to l, which gives l = d + 21.\n2. Substitute d = g + 7 to l, which gives l = g + 28.\n3. Substitute g = e + 10 to l, which gives l = e + 38.\n4. Substitute e = a + 18 to l, which gives l = a + 56.\n5. Substitute a = j + 2 to l, which gives l = j + 58.\n6. Substitute j = 16 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 2895,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 3; j = 16; k = d + 13; p = j + 20; l = k + 8; x = p + 2; e = a + 18; b = h + 1; a = j + 2; n = z + 9; g = e + 10; d = g + 7; h = n + 8. If j = 16, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 7", "c": "i + 19", "m": "c + 18", "l": "m + 11", "y": "l + 10", "e": "y + 13", "q": "f + 17", "a": "q + 1", "j": "a + 14", "n": "j + 8", "g": "n + 15", "x": "g + 12", "f": 6}, "premises": {"f": 6}, "target": "e"}, "answer": {"steps": [["y", "l + 10", "l + 23"], ["l", "m + 11", "m + 34"], ["m", "c + 18", "c + 52"], ["c", "i + 19", "i + 71"], ["i", "f + 7", "f + 78"], ["f", 6, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"f": 6}, "is_reverse": true}}
| 2,896
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 17; c = i + 19; j = a + 14; y = l + 10; e = y + 13; a = q + 1; x = g + 12; f = 6; l = m + 11; g = n + 15; i = f + 7; n = j + 8; m = c + 18. If f = 6, 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 y = l + 10 to e, which gives e = l + 23.\n2. Substitute l = m + 11 to e, which gives e = m + 34.\n3. Substitute m = c + 18 to e, which gives e = c + 52.\n4. Substitute c = i + 19 to e, which gives e = i + 71.\n5. Substitute i = f + 7 to e, which gives e = f + 78.\n6. Substitute f = 6 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 2896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 17; c = i + 19; j = a + 14; y = l + 10; e = y + 13; a = q + 1; x = g + 12; f = 6; l = m + 11; g = n + 15; i = f + 7; n = j + 8; m = c + 18. If f = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 12", "s": "p + 20", "q": "s + 15", "d": "q + 2", "m": "d + 10", "j": "m + 3", "w": "o + 15", "y": "w + 1", "f": "y + 10", "h": "f + 17", "v": "h + 7", "x": "v + 10", "o": 14}, "premises": {"o": 14}, "target": "j"}, "answer": {"steps": [["m", "d + 10", "d + 13"], ["d", "q + 2", "q + 15"], ["q", "s + 15", "s + 30"], ["s", "p + 20", "p + 50"], ["p", "o + 12", "o + 62"], ["o", 14, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"o": 14}, "is_reverse": true}}
| 2,897
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 14; v = h + 7; q = s + 15; w = o + 15; h = f + 17; p = o + 12; m = d + 10; d = q + 2; s = p + 20; x = v + 10; y = w + 1; f = y + 10; j = m + 3. If o = 14, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 10 to j, which gives j = d + 13.\n2. Substitute d = q + 2 to j, which gives j = q + 15.\n3. Substitute q = s + 15 to j, which gives j = s + 30.\n4. Substitute s = p + 20 to j, which gives j = p + 50.\n5. Substitute p = o + 12 to j, which gives j = o + 62.\n6. Substitute o = 14 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 2897,
"question": "Consider a system of variables where each variable is defined as follows: o = 14; v = h + 7; q = s + 15; w = o + 15; h = f + 17; p = o + 12; m = d + 10; d = q + 2; s = p + 20; x = v + 10; y = w + 1; f = y + 10; j = m + 3. If o = 14, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "u + 7", "i": "n + 17", "y": "i + 10", "l": "y + 10", "p": "l + 10", "s": "p + 17", "t": "u + 3", "q": "t + 3", "e": "q + 16", "x": "e + 20", "f": "x + 19", "w": "f + 14", "u": 11}, "premises": {"u": 11}, "target": "s"}, "answer": {"steps": [["p", "l + 10", "l + 27"], ["l", "y + 10", "y + 37"], ["y", "i + 10", "i + 47"], ["i", "n + 17", "n + 64"], ["n", "u + 7", "u + 71"], ["u", 11, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"u": 11}, "is_reverse": true}}
| 2,898
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 3; u = 11; l = y + 10; x = e + 20; i = n + 17; n = u + 7; s = p + 17; w = f + 14; y = i + 10; t = u + 3; f = x + 19; p = l + 10; e = q + 16. If u = 11, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 10 to s, which gives s = l + 27.\n2. Substitute l = y + 10 to s, which gives s = y + 37.\n3. Substitute y = i + 10 to s, which gives s = i + 47.\n4. Substitute i = n + 17 to s, which gives s = n + 64.\n5. Substitute n = u + 7 to s, which gives s = u + 71.\n6. Substitute u = 11 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 2898,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 3; u = 11; l = y + 10; x = e + 20; i = n + 17; n = u + 7; s = p + 17; w = f + 14; y = i + 10; t = u + 3; f = x + 19; p = l + 10; e = q + 16. If u = 11, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 8", "a": "z + 19", "k": "a + 12", "u": "k + 12", "g": "u + 19", "c": "g + 7", "s": "n + 8", "m": "s + 18", "e": "m + 19", "w": "e + 9", "l": "w + 19", "r": "l + 2", "n": 1}, "premises": {"n": 1}, "target": "c"}, "answer": {"steps": [["g", "u + 19", "u + 26"], ["u", "k + 12", "k + 38"], ["k", "a + 12", "a + 50"], ["a", "z + 19", "z + 69"], ["z", "n + 8", "n + 77"], ["n", 1, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"n": 1}, "is_reverse": true}}
| 2,899
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 7; r = l + 2; n = 1; e = m + 19; s = n + 8; k = a + 12; z = n + 8; a = z + 19; u = k + 12; l = w + 19; w = e + 9; m = s + 18; g = u + 19. If n = 1, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 19 to c, which gives c = u + 26.\n2. Substitute u = k + 12 to c, which gives c = k + 38.\n3. Substitute k = a + 12 to c, which gives c = a + 50.\n4. Substitute a = z + 19 to c, which gives c = z + 69.\n5. Substitute z = n + 8 to c, which gives c = n + 77.\n6. Substitute n = 1 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 2899,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 7; r = l + 2; n = 1; e = m + 19; s = n + 8; k = a + 12; z = n + 8; a = z + 19; u = k + 12; l = w + 19; w = e + 9; m = s + 18; g = u + 19. If n = 1, determine the value of c.",
"split": "train"
}
|
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